Mathematics Curriculum for Upper Primary School

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Scheme of Work Team
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Mathematics Curriculum schemeofwork.com

General Mathematics Basic 4 – 6 NERDC Maths Curriculum for Upper Primary School. Buying and selling of shares and dividends – Schemeofwork

Table of Contents
Maths Curriculum for Primary 4ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: LCMStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: HCFTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: FractionContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 2: BASIC OPERATIONSContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: MultiplicationContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: DivisionTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: EstimateTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 3: ALGEBRAIC PROCESSESContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 4: MENSURATION AND GEOMETRYContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:  LENGTH    Teacher’s ActivitiesStudent’s ActivitiesTeaching & Learning Material         Evaluation GuideTopic: WeightContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: TimeContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: AreaContentsTeacher‘s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Capacity    ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:          Plane shapesContentsTeacher’s Activities        Evaluation GuideTopic: Three dimensional shapesContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 5: EVERYDAY STATISTICSContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideMaths Curriculum for Primary 5ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: FractionsContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: MultiplicationContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: DivisionContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 2:  BASIC OPERATIONSContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Use of Number line in addition and subtractionContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 3:  ALGEBRAIC PROCESSESContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 4: MENSURATION AND GEOMETRYContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: WeightContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:  Time         Teacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: TemperatureContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:  AreaTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:          VolumeContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Capacity    Teacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Structure of EarthContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Plane ShapeContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: 3 dimensional shapesContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: CircleContentsTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 5:  EVERYDAY STATISTICSContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:  Measures of central tendencyContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Tossing coins and throwing of dieContentsStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideMaths Curriculum for Primary 6THEME 1:  NUMBER AND NUMERATIONContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: DemographyContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Fractions   ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Ratios and ProportionsContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Ratio of family size and resourcesTeacher’s Activities       Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Ratio of two populationsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Ratio of prevalence of HIV/AIDS between two sexes, two statesContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: PercentagesTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 2:  BASIC OPERATIONSContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Indices (power)ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: MultiplicationContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Division               ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Order of operationsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Ratio and percentageContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 4:  ALGEBRAIC PROCESSESContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 5:  MEASUREMENTPerformance objectivesContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Conversion of currenciesTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: LengthTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: WeightTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:   Time        ContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: perimeterTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: AreaTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialTopic: VolumeTeacher’s ActivitiesStudent’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: CapacityTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: SpeedTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Athletics timeTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 6:  MENSURATION AND GEOMETRYContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Angles       Teacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic:  Height and distancesTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: PolygonsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Scale drawingTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTHEME 7:  EVERYDAY STATISTICSTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation GuideTopic: Measures of Central TendencyContentsTeacher’s Activities        Student’s ActivitiesTeaching & Learning MaterialEvaluation Guide

Maths Curriculum for Primary 4

THEME 1: NUMBERS AND NUMERATION

Week 1

Topic: Whole numbers

Performance objectives

  1. Count in thousands up to one million
  2. Solve problems on quantitative reasoning
  3. Apply knowledge of counting to local counting in groups of:
    • fives (yams, oranges, onions etc)
    • market days
    • sevens (weeks and days)
    • 60‟s ( minutes and seconds etc)
  4. Solve problems on quantitative reasoning involving whole numbers
  5. State the place value of a digit in four digit numbers
  6. Count Roman numerals up to 100 (I to C);
  7. Solve problems on quantitative reasoning involving use of roman numeral
  8. Order whole numbers up to 1000 using the symbol  < and >;
  9. Solve problems on quantitative reasoning involving ordering of whole numbers.

Contents

  1. Counting up to one million in ones, tens, hundreds and thousands
  2. Quantitative reasoning
  3. Counting in 5‟s, 7‟s and 60‟s etc
  4. Quantitative reasoning
  5. Place values: thousands, hundreds, tens and units Th, H, T, U
  6. Roman numerals (I to C), I for one V for five X for ten L for fifty, C for hundred IX for nine XX for twenty XXX for thirty
  7. Quantitative reasoning: XL for forty, LX for sixty LXX for seventy LXXX for eighty
  8. Quantitative reasoning.
  9. Ordering of whole numbers up to 1000.

Teacher’s Activities        

  1. Guides pupils to count by using bundles of sticks, seeds, etc in counting in tens and hundreds
  2. Guides pupils to build place value abacus and asks them to label columns.
  3. Assists pupils in making overlay cards to be used in forming and writing numbers as shown below
    •  5 0 0 0 0
    • 3 0 0 0
    • 6 0 0
    • 7 0
  4. Demonstrates the use of overlay cards.
  5. Guides the pupils in activities to build numerals up to 99,999 with abacus.
  6. Guides pupils to form and write 5- digit number using overlay cards.
  7. Guides pupils to solve problems in quantitative aptitude e.g. complete the following diagram for an overlay card for the number.
    • 5 3 6 0
    • 5 0 0 0
    • 3 0 0
    • 0
  8. Designs series of activities to lead pupils to count meaningfully up to one million
  9. Organizes a short visit to the nearby market for pupils to observe grouping of commodities for sale e.g. oranges, yams, onions.
  10. Guides pupils to count in 5‟s using the local common activities.
  11. Guides pupils to count t in 7‟s using days of the week.
  12. Makes use of clock faces to lead pupils count in 60‟s.
  13. Organizes activities to make pupils change days to weeks, seconds to minute and also minutes to hours, vice versa.
  14. Fill up the gap below:
  15. Guides pupils to state the place value of a digit using abacus.
  16. Writes the place value of a 4-digit number as Th, H, T, U and explains that: Th = Thousands H = Hundreds T = Tens U = Units
  17. Guides pupils to write the place value of each digit in the number 6435 as: 5 = units, 3 = 3tens, 4 = 4 hundreds, 6= thousands
  18. Writes 6 4 3 5 on the board and asks pupils to write the value of each digit of the number e.g.,
    • 5 = 5
    • 3 = 30
    • 4 = 400
    • 6 = 6000
  19. Guides pupils to use fingers to represent numbers in roman numerals I – X (1 to 10)
  20. Guides pupil to form Roman numeral:
    • I (one finger),
    • V (five fingers)
    • X (ten fingers)
  21. Uses Roman numeral chart to lead pupils to read and write the Roman numerals I to C
  22. Gives examples on quantitative aptitude. E.g. find the missing number below. L X VI50 10?
  23. Guides pupils in ordering of numbers 1 – 500 on numeral chart.
  24. Leads pupils to recall the meaning of the symbol (< and >)
  25. Guides pupils to order two numbers e.g.
    • 546 and 174 as 546 > 174 or 174 < 546
  26. Guides pupils Gives more exercises on ordering of whole numbers,
  27. Guides pupils to solve some quantitative aptitude problems involving ordering of whole numbers.

Student’s Activities

  1. Count using their counters e.g. sticks and match sticks in tens and hundreds.
  2. Label columns of place value abacus.
  3. Make overlay cards.
  4. Observe and demonstrate the use of overlay cards.
  5. Count numbers with abacus.
  6. Make use of overlay cards to write 5-digit numbers.
  7. Solve problems on quantitative aptitude.
  8. Observe the grouping of local commodities in the market.
  9. Count in 5‟s e.g. 5, 10, 15, 20, 25.
  10. Count in 7‟s e.g. 7, 14, 21, 28.
  11. Count in 60‟s e.g. 60, 120, 180, 240.
  12. Change days to weeks e.g. 21days = 3 weeks, 26days = 3weeks 5days
  13. Change minute to hours e.g. 260mins = 4 hours 20mins
  14. Change seconds to minutes e.g. 180 seconds s = 3 minutes
  15. Solve some problems on quantitative aptitude involving whole numbers.
  16. Write the place value of the digits in a four digit number.
  17. Write the place value of each digit in a given number such as the number written on the board as:
    • 5 = 5
    • 3 = 30
    • 4 = 400
    • 6 = 6000
  18. Solve some problems on the place value involving four digit numbers.
  19. Study the Roman numerical chart and flash cards
  20. Practice the number formation system for Roman numerical (I x C) using fingers.
  21. Read and write Roman numerals up to 100 and also write the value of each numerals in the Hindu/Arabic form
  22. Write all the Roman numerals I to C in their exercise book
  23. Solve examples on quantitative aptitude involving roman numerals
  24. Revises order of numbers 1-500 using number chart
  25. Recall the meaning of the symbol (< and >)
  26. Order any two given numbers
  27. Solve problems on ordering whole numbers
  28. Solve problems on quantitative aptitude involving ordering of whole numbers

Teaching & Learning Material

  1. Counters: Sticks Match sticks etc Abacus, Overlay card, Cardboard paper.
  2. Counters, available objects in the locality, clock faces, calendar, etc. Abacus, Spike, and Thread, beads
  3. Roman numerical, Charts, Flash cards. Roman numeral chart Flash cards. Number charts Flash cards

Evaluation Guide

  1. Count numbers up to 999,999 and one million;
  2. Solve problems on counting numbers up to one million
  3. Solve Problems in quantitative reasoning involving whole numbers.
  4. Solve problems in groups of five, seven and sixty;
  5. Write the place value of each digit in a given 4-digit number: using
    •  spike abacus
    •  pocket abacus
    •  thread abacus
    •  thread Beads without the use of abacus.
  6. Read given Roman numerals and state the corresponding values in the Hindu/Arabic Form;
  7. Write the value of the Roman numeral I – C in the Hindu/ Arabic form;
  8. Write 1 – 100 in roman numerals
  9. Solve problems on quantitative aptitude;
  10. Order given whole numbers
  11. Solve more problems on quantitative aptitude.

Week 2

Topic: LCM

Performance objectives

  1. Pupils should be able to find the LC M of numbers up to 9

Contents

  1. LCM of two numbers up to 9

Teacher’s Activities       

  1. Guides pupils to find LCM of one digit number

Student’s Activities

  1. Find LCM by use of factor method.

Teaching & Learning Material

  1. Cardboard

Evaluation Guide

  1. Obtain LCM of two numbers by identifying the lowest of the common multiples;
  2. obtain LCM of two numbers by identifying the lowest of the common multiples;
  3. Find the LCM by factor method.

Week 3

Topic: HCF

Performance objectives

  1. Pupils should be able to find the HCF of 2-digit numbers.

Contents

  1. HCF of 2-digit numbers.

Teacher’s Activities        

  1. Guides pupils to use flannel board and flesh cards to identify HCF numbers.       
  2. Guides pupils to identify HCF of two digit numbers.

Student’s Activities

  1. Use flannel board and flannel board and flash cards to identify common factors of given numbers.
  2. Find the HCF of two digit numbers.

Teaching & Learning Material

  1. flannel board
  2. flash cards
  3. numbers cards 

Evaluation Guide

  1. Pupils to find the common factors of given numbers and hence determine the HCF.

Week 4

Topic: Fraction

Performance objectives

  1. Differentiate between proper and improper fractions
  2. Change improper fractions to mixed numbers and vice versa;
  3. Apply fractions in sharing commodities in home, market, school, etc;
  4. Solve quantitative reasoning problems involving fractions;
  5. Use decimal fraction up to hundredths;
  6. Use decimal fraction up to hundredths
  7. Obtain equivalent fractions of a given fraction
  8. Ordering pairs of fractions
  9. Solve quantitative reasoning on equivalent fractions.

Contents

  1. Proper and improper fractions and mixed numbers
  2. Mixed number
  3. Quantitative reasoning
  4. Decimal fraction up to tenths and hundredth
  5. Quantitative reasoning
  6. Equivalent fractions
  7. Ordering fractions
  8. Quantitative reasoning

Teacher’s Activities        

  1. Guides pupils to divide an objects e.g. an orange into two equal parts to show a proper fraction.
  2. Guides pupils to identify what is proper and improper fraction as well as a mixed number.
  3. Guides pupils to Convert from improper fractions to mixed numbers and vice versa
  4. Guides pupils to apply fractions in sharing commodities in homes market Schools etc.
  5. Guides pupils to identify decimal numbers in decimal fraction: tenths hundredths as fractions with 10 and 100 as denominators respectively.
  6. Solve problems in quantitative reasoning.
  7. Guides pupils to state three or four equivalent fractions of a given fraction.
  8. Guides pupils to notice that when fractions have the same denominator the fraction with smaller numerator is less e.g. 6 and 9 implies that 10 10 hence 3 < 9 5 10
  9. Guides pupils to solve quantitative aptitude problems on equivalent fractions.

Student’s Activities

  1. Explains the meaning of proper and improper fractions and mixed fractions.
  2. Cut objects e.g. orange into equal parts to show a proper fraction
  3. Convert improper fractions to mixed numbers and vice versa.
  4. Apply fractions to share commodities in homes market schools etc.
  5. Explain decimals in 10‟s , 100‟s as fractions with 10 and 100 as denomination
  6. Solve problems in quantitative reasoning.
  7. Give equivalent fractions of given fractions.
  8. Order a pair of fraction by comparing their new numerators.
  9. Solve some quantitative aptitude problems involving equivalent fractions

Teaching & Learning Material

  1. Orange, Paper cuttings of different shapes, Fraction charts Oranges, Squares, and Cardboards. Flow chart of quantitative reasoning, Flash Cards

Evaluation Guide

  1. Classify a given set of fractions into proper and improper fractions
  2. Convert improper fraction to mixed number and vice versa;
  3. Solve more conversion problems on fractions;
  4. Write decimal fractions with denominators ten and hundred;
  5. Solve problems in quantitative reasoning;
  6. Find the equivalence of given fractions;
  7. Order given pairs of fractions using < or >;
  8. Solve problems on quantitative aptitude reasoning involving equivalent fractions.

SUBJECT:   GENERAL MATHEMATICS                     CLASS LEVEL: PRIMARY 4

THEME 2: BASIC OPERATIONS

Week 1

Topic:    Addition and subtraction

Performance objectives

  1. Add and subtract whole numbers in Th. H. T. U with or without renaming
  2. Carryout correct addition and subtraction in everyday life activities
  3. Add and subtract three 4- digit numbers taking two at a time
  4. Solve quantitative aptitude problems involving addition and subtraction of whole numbers of four digit;
  5. Add and subtract:

.       Two proper fractions

.        Improper fractions and mixed fractions

  • Correctly add and subtract proper and improper fractions in everyday life activities;
  • Solves quantitative aptitude problems involving addition and subtraction of fractions.
  • Add and subtract decimal up to 3 places
  • Correctly add and subtract decimal;
  • Solve problems on quantitative reasoning involving addition and subtraction of decimals.

Contents

  1. Addition and subtraction of whole numbers in Th. H. T. U With or without renaming.
  2. Addition and subtraction of three 4-digit numbers taking two at a time.
  3. Quantitative Reasoning.
  4. Quantitative Reasoning on addition and subtraction of whole numbers of four digits.
  5. Addition and subtraction of

.   Two proper fractions

.   Improper fractions and mixed numbers.

  • Quantitative reasoning on addition and subtraction of fractions.
  • Addition and subtraction of decimals up to 3 decimal numbers.
  • Quantitative reasoning on decimal numbers

Teacher’s Activities        

  1. Guides pupils to use abacus with Th. H.T. U for addition and subtraction of three 4-digit numbers with or without renaming.
  2. Guides the pupils to note the importance of place value in performing correct addition and subtraction in everyday activities.
  3. Guides pupils to carry out the correct addition and subtraction.
  4. Guides pupils through addition and subtraction of three 4-digit numbers taking two at a time e.g. 1816+2672+4297
  5. Guides pupils to solve quantitative aptitude problems Involving addition and substation of three 4-digit numbers e.g. 4600, 9200, 13800
  6. Guides the pupils to revise addition of fractions e.g. ½ + ¾ = 2/4 + ¾ = 5/4 = 11/4
  7. Guides pupils to add and subtract proper and mixed numbers
  8. Guides pupils to give examples of everyday activities where addition and subtraction of fractions and decimals are used.
  9. Guides pupils to solve quantitative aptitude problems involving addition and subtraction of fractions e.g.
    • Guides pupils to solve problems on addition and subtraction of decimals to 3 decimal place e.g. 4. 263 + 5.123 = 9.386
    • Leads pupils to correctly add and subtract decimals in everyday life activities.
    • Guides pupils to solve quantitative aptitude problems involving addition and subtraction of decimals e.g.
    • 18.22cm 11.45cm
    • 29.67cm
    • 14.28kg 9.70kg?

Student’s Activities

  1. Use abacus to subtract three 4-digit numbers.
  2. Apply place value in addition and subtraction and need for correct addition and subtraction.
  3. Solve problems that require addition and subtraction in at least four digit numbers.
  4. Add and subtract three 4-digit numbers taking two at a time e.g.
    1. 1816+2672+4297
    1. 4297 – 2672 – 1816
  5. Solve quantitative aptitude problems involving additions and subtraction of three 4- digit numbers
  6. Revise addition and subtraction of fractions.
  7. Carry out addition and subtraction involving proper fraction and mixed numbers.
  8. Give examples of everyday life activities where accuracy of addition and subtraction of fractions and decimals are required.
  9. Solve quantitative aptitude problems involving addition and subtraction of fractions.
  10. Add and subtract series of problems involving decimal numbers up to 3 decimal places.
  11. Correctly add and subtract decimal numbers giving examples
  12. Apply addition and subtraction to every life activities
  13. Solves quantitative aptitude problems involving addition and subtraction of decimals numbers with up to 3 decimal places

Teaching & Learning Material

  1. Abacus and charts
  2. Fraction Charts Quantitative aptitude Chart
  3. Charts addition cards Quantitative aptitude charts containing worked problems

Evaluation Guide

  1. Add and subtract three 4-digit numbers with or without renaming;
  2. Add and subtract three 4-digit numbers taking two at a time;
  3. Solve quantitative aptitude problems involving additions and subtraction of three 4-digit numbers taking two at a time.
  4. Add and subtract proper fractions and mixed fractions;
  5. Give three or more examples of everyday life activities that require addition and subtraction of fractions;
  6. Give four examples of everyday activities that require correct addition and subtraction of decimal numbers;
  7. Solve problems on addition and subtraction on decimal numbers up to 3 decimal places
  8. Solve quantitative aptitudes problems involving addition and subtraction of decimal numbers with up to 3 decimal places.

Week 2

Topic: Multiplication

Performance objectives

  1. Multiply whole numbers by 2-digit number not exceeding 50;
  2. Solves quantitative aptitude problems involving multiplication of whole numbers by 2-digit numbers;
  3. Multiply decimals numbers by 2-digit numbers;
  4. Solve quantitative aptitude problems involving multiplication of decimal numbers by 2 digit numbers.
  5. Calculate the squares of 1 and 2 digit numbers;
  6. Identify objects with perfect faces like cubes and Square shapes
  7. Solve quantitative aptitude problems involving squares;
  8. Find square roots of perfect squares up to 400;

Contents

  1. Multiplication of whole umbers by 2-digit numbers not exceeding 50.
  2. Quantitative reasoning on multiplication of whole numbers
  3. Multiplication of decimals by 2-digit numbers.
  4. Quantitative reasoning on multiplication of decimal numbers.
  5. Squares of 1-digit and 2- digit numbers.
  6. Quantitative reasoning on squares of numbers.
  7. Square root of perfect squares up to 400 using:
    • square chart
    • Factor method.
  8. Quantitative reasoning on square root of numbers not greater than four hundred.

Teacher’s Activities        

  1. Guides pupils to revise multiplication of whole numbers.
  2. Guides pupils to carry out multiplication of whole numbers in 2- digit numbers e.g. 40 x 12.
  3. Guide pupils to solving quantitative aptitude problems on multiplication of whole numbers with 2-digit numbers e.g. 150 1800 200 2000? 3,500
  4. Guides pupils to solve multiplication of decimal numbers by 2-digit numbers.
  5. Guides pupils to solve quantitative aptitude problems involving multiplication of decimal numbers by 2 digit whole numbers
  6. Guides pupils to find the square of a number say 3 by locating the intersection of 3 by 3 on the vertical and horizontal rows and columns respectively on the square chart to get 9.
  7. Guides pupils to identify objects of perfect square faces.
  8. Guides pupils in locating the square root of any perfect square on the chart e.g. square root 256 is 16.
  9. Guides pupils to find square roots by factor method e.g. 256 =4 x 4 x 4 x
  10. Guides pupils to solve quantitative aptitude problems involving Square root of perfect squares not greater than 400, illustrating with charts e.g. 20 8 16

Student’s Activities

  1. Carry out multiplication of whole numbers by 2-digit numbers.
  2. Solve problems involving multiplication of whole numbers by 2-digit numbers.
  3. Solves quantitative aptitude problems involving multiplication of whole numbers by 2-digit numbers not exceeding 50.
  4. Give examples of everyday activities that require correct multiplication of decimals with 2-digit numbers.
  5. Solve problems on multiplication of decimal number with 2 digit number.
  6. Solve series of quantitative aptitude problems involving multiplication of decimal numbers 2 digit whole numbers
  7. Use square chart to find squares of any given number.
  8. Give examples of objects with perfect square faces.
  9. Solve series of quantitative aptitude problems involving squares of 1- digit and 2-digit numbers.
  10. Find square root of perfect squares not exceeding 400 using the square root chart.
  11. Find square root of perfect squares by factor Methods.
  12. Solve quantitative aptitude involving square root of numbers not exceeding 400.

Teaching & Learning Material

  1. Flash Cards Multiplication charts, Quantitative aptitude Chart, etc.
  2. 20 by 20 square chart Charts on quantitative reasoning Square root chart charts

Evaluation Guide

  1. Multiply whole numbers by 2-digit numbers not exceeding 50;
  2. Solve quantitative aptitude problems involving multiplication of whole numbers by 2- digit numbers not exceeding 50;
  3. Multiply decimals by 2-dgit numbers;
  4. Solve quantitative aptitude problems involving multiplication of decimal numbers by 2 digit numbers.
  5. Find the square of given number using 20 by 20 square char
  6. Give example of objects with perfect square faces in their homes and school
  7. Solve quantitative aptitude problem involving finding of squares;
  8. Find square root of given numbers using 20 by 20 square chart;
  9. Find square root of perfect squares using factor method;
  10. Solve quantitative aptitude problems involving squares and square root of numbers.

Week 3

Topic: Division

Performance objectives

  1. Divide two or three digit numbers by:
    1. numbers up to 9 with or without remainder
    1.  multiples of 10 up to 50
  2. Solve quantitative aptitude problems involving division.

Contents

  1. Division of two or three digit numbers by:
    1. numbers up to 9 with or without remainder
    1.  multiples of 10 up to 50
  2. Quantitative reasoning on division.

Teacher’s Activities        

  1. Guides pupils to divide 2 or 3 decimal by numbers not more than 9.        
  2. Guides pupils to divide a given   3 number by 10, 20, 30 etc.
  3. Guides pupils to solve quantitative aptitude problems such as:
    1. Divide 2 and 9 digit numbers by numbers not more than 9.
    1. Divide given numbers by 10, 20, 30 etc.
    1. Solve quantitative aptitude problems involving division. Addition charts

Pupils to:

  • divide a given two or three digit number by numbers between 2 and 9;
    • Divide a given two or three digit number by 10 up to 50;
  • Solve quantitative aptitude problems involving division.
    •  64
    • 32
    • 32
    • 8
    • 2
    • 4

Student’s Activities

  1. Divide 2 and 9 digit numbers by numbers not more than 9.
  2. Divide given numbers by 10, 20, 30 etc.
  3. Solve quantitative aptitude problems involving division.

Teaching & Learning Material

  1. Addition charts
  2. Charts

Evaluation Guide

  1. Divide a given two or three digit number by numbers between 2 and 9;
  2. Divide a given two or three digit number by 10 up to 50;
  3. Solve quantitative aptitude problems involving division.

Week 4

Topic: Estimate

Performance objectives

  1. Pupils should be able to give meaningful estimate of sums and products of numbers.

Contents

  1. Estimate sums and products.
  2. Quantitative reasoning problem involving number line.

Teacher’s Activities        

  1. Guides pupils to find estimate of sum and product of numbers

Student’s Activities

  1. Estimate sums and products numbers.

Teaching & Learning Material

  1. Charts on estimates

Evaluation Guide

  1. Estimate the sum and product of numbers, height, lengths, and widths within and outside the school
  2. Carry out estimate involving sum and product of numbers.

SUBJECT:   GENERAL MATHEMATICS                     CLASS LEVEL: PRIMARY 4

THEME 3: ALGEBRAIC PROCESSES

Week 1

Topic: Open sentience 

Performance objectives

  1. Define open sentences;
  2. Find missing number in an open sentences;
  3. Solve related, quantitative aptitude problems on open sentences involving multiplication and division.

Contents

  1. Open sentences.
  2. Quantitative reasoning on open sentences

Teacher’s Activities        

  1. Guides pupils to find missing numbers in example:
    1. 9 + = 15
    1. 18 – = 7
  2. Guides pupils to solve quantitative aptitude problems of the form
    1. 21-12 24 9

Student’s Activities

  1. Solve series of problems involving open sentences.
  2. Solve related quantitative aptitude problems on open sentences.

Teaching & Learning Material

  1. Chart containing worked examples on open sentences

Evaluation Guide

  1. Solve given problems on open sentences involving the four basic operations;
  2. Find missing numbers in quantitative aptitude diagrams drawn from open sentences
  3. Solve some problems of quantitative aptitude involving open sentences.

Grade 4 NERDC Mathematics Curriculum for Primary 4. Count in thousands up to one million, Roman numerals, multiplication – Schemeofwork

SUBJECT:  GENERAL MATHEMATICS                             CLASS LEVEL: PRIMARY 4

THEME 4: MENSURATION AND GEOMETRY

Week 1

Topic:  Money

Performance objectives

  1. Solve problems on addition of money;  
  2. Solve quantitative aptitude problems on additions of money
  3. Solve problem on subtraction of money
  4. Solve quantitative aptitude problems involving subtraction of money.   
  5. Multiply money by a whole number;     
  6. Solve some quantitative reasoning problems on multiplications of money
  7. Divide money by a whole number;
  8. Solve quantitative reasoning problems in real life situations
  9. calculate profit and loss
  10. solve quantitative aptitude problems on profit and loss

Contents

Addition of money

  1. Quantitative reasoning involving.
    • addition of money
    • subtraction of money
  2. Quantitative reasoning involving subtraction of money
  3. Multiplication of money by a whole number.
  4. Division of money by a whole number.
  5. Calculation of profit.
  6. Quantitative reasoning on profit and loss.

Teacher’s Activities

  1. Guides pupils to solve problems on addition of money e.g.
    • ₦7.50 +₦ 6.30 = ₦15.80
    • ₦3.80 + ₦7.30 = ₦11.10
  2. Guides pupils to solve quantitative aptitude problems involving addition of money.
  3. Guides pupils to relate correctly, addition of money in business transactions as a customer or dealer of goods and services
  4. Guides the pupils to Engage in mock buying and selling which will involve the collection of change.
  5. Guides pupils on the subtraction of money e.g. ₦9.50 – ₦6.20 = ₦ 3.30
  6. Leads pupils to note the importance of correct subtraction of money in business transaction.
  7. Solves quantitative aptitude problems involving subtraction of money.
  8. Leads pupils on multiplication of money by whole number using sum cards e.g. ₦7 x 3 = ₦21
  9. Solves quantitative aptitude problems related to multiplications of money.
  10. Guides pupils to solve problems on division of money by a whole number
  11. Guides pupils to solve quantitative aptitude problems on division of money.
  12. Gives exercise on division of money by a whole to pupils.
  13. Sets up a shopping corner in the classroom and engage pupils in buying and selling.
  14. Leads pupils to realize that when one sells an article at a price higher than the cost price then a profit is said to have been made.
  15. Guides pupils to calculate the profit by subtracting cost price (CP) from the selling price (SP) i.e. profit = selling price – cost price profit = SP – CP
  16. Guides pupils to solve problems on quantitative reasoning involving profit and loss

Student’s Activities

  1. Solve some problems on addition of money.
  2. Solve quantitative aptitude problems involving addition of money.
  3. Relate on correct addition of money in business transaction as a customer or dealer of goods and services.
  4. Act as shop keepers or customers in mock buying and selling which will involve the collection of change.
  5. Solve problems on the subtraction of money.
  6. State correctly the importance of correct subtraction of money in business transaction
  7. Solve some quantitative aptitude problems related to money subtraction.
  8. Solves problems on multiplication of money by whole number.
  9. Solve quantitative aptitude problems related to multiplication of money.
  10. Solve problems on division of money by a whole number.
  11. Solve quantitative aptitude problems on division of money.
  12. Calculate profit and loss.
  13. Solve problems on profit and loss.
  14. Solve problems on quantitative reasoning involving profit and loss.
  15. State skills in making profit in real life through entrepreneurship and enterprise activities.
  16. Solve problems on quantitative reasoning involving profit and loss.
  17. State skills in making profit in real life through entrepreneurship and enterprise activities
  18. Solve problems on quantitative reasoning involving profit and loss.

Teaching & Learning Material

  1. Empty containers of: Milk, Geisha, Tomato, Sugar etc.
  2. Basic addition table for money.
  3. Real and model money.
  4. Cards on multiplication of money by whole numbers.
  5. Empty packets of: Sugar, Match, Empty tins of: Bournvita, Tomatoes, milk etc. Real and models of money.

Evaluation Guide

  1. Solve given problems on addition of money;
  2. Solve quantitative reasoning problems involving money;
  3. State 2 or three reasons why addition of money is important in business transactions
  4. Solve quantitative aptitude problems involving the subtraction of money
  5. Solve quantitative problems.
  6. Solve problems on multiplication of money by whole numbers.
  7. Solve problems on division of money by whole numbers.
  8. Solve quantitative aptitude problems involving division of money.
  9. Solve problems on the calculations of profit and loss
  10. Solve problems on quantitative reasoning involving profit and loss
  11. State ways on how to make profit in life

Week 2

Topic:  LENGTH    

Performance objectives

  1. estimate distances in kilometers and length in meters or centimeters and compare with measurements
  2. add and subtract length

Contents

  1. Estimating lengths and Measurements
  2. Addition and subtraction of lengths

Teacher’s Activities

  1. Guides pupils to estimates and measure small objects in centimeters
  2. Guides pupils to estimate and measure bigger objects in meters and centimeters and record all their results in a tabular form
  3. Guides pupils to compare their results
  4. Guides pupils to add and subtract lengths e.g. 8km 120m + 4km 4 m = 12km 124m 6km + 3km 8m = 9km 8m 7km 45m – 5km 20m = 2km 25m

Student’s Activities

  1. Estimate and measure small objects in centimeters bigger objects in meters and centimeters
  2. Make comparison of their results add and subtract given lengths

Teaching & Learning Material

  1. Tape, Meter, rule, etc

         

Evaluation Guide

  1. estimate given length and distances
  2. estimate given objects and distances
  3. compare estimates and actual measurement
  4. solve given problems on addition and subtraction of lengths

Week 3

Topic: Weight

Performance objectives

  1. compute addition and subtraction of weights using Kg and g
  2. multiply and divide weight by whole numbers

Contents

  1. Addition and subtraction of weight in kilograms (kg) and grams (g)
  2. Multiplication and division of weights in (kg) and (g) by whole numbers

Teacher’s Activities

  1. Guides pupils to Revise conversion : 1kg = 1000g and leads pupils to solve problems in addition and subtraction of weights
    • 412g + 319g = 731g
    • 2kg 457g + 3kg 716g + 412g = 6kg 585g
    • 15kg 437g – 4kg 39g = 11kg 398g
  2. Leads pupils to solve problems on multiplication and division of weights in (kg) and (g) by whole numbers
    • 212g x 3 2kg 212g x 9
    • 216g ÷ 3 3kg 560 ÷ 7

Student’s Activities

  1. Solve the given problems on addition and subtraction of weights
  2. Solve problems on multiplication and division of weights by whole numbers

Teaching & Learning Material

  1. Weighing scale, Scale balance, etc

Evaluation Guide

  1. solve problems on addition and subtraction of weights
  2. multiply and divide weights by whole numbers

Week 4

Topic: Time

Performance objectives

  1. give time on the clock, read calendar and write dates
  2. solve problems on quantitative aptitude problems related to time
  3. use the notation am and pm for time of the day

Contents

  1. Time on the clock, calendar and dates
  2. Quantitative reasoning on time
  3. Use of the notation am and pm for time of the day

Teacher’s Activities        

  1. Guides pupils to indicate important times of the school day such as first lesson (8.10), break (11.10) and closing (1.30)
  2. Guides pupils to revise telling of time on the clock face
  3. Leads pupils to tell their birth days which are recorded on the board using the format: 23/06/1998 (day/Moth/Year)
  4. Guides pupils to solve problems on quantitative reasoning related to time
  5. Leads pupils to explains using the clock to indicate the meaning of am (ante meridian – before noon) and pm (post meridian – after noon) e.g. time for first lesson is 8.10am and time for closing is 1.30pm

Student’s Activities

  1. Indicate important times of the school day on a clock
  2. Indicate their birthdays and other important dates using the format on the board
  3. Solve problems on quantitative aptitude related to time
  4. Indicate times of the day that should be am and those that should be pm

Teaching & Learning Material

  1. Clocks, Calendars and clock charts

Evaluation Guide

  1. read given time on clock or charts
  2. indicate important activities at their homes and times when they take place
  3. write the dates of some given important events
  4. solve quantitative aptitude problems involving time
  5. record three important times of the (school) day and the activities
  6. associated with them indicating which times are am and which are pm

Week 5

Topic: Area

Performance objectives

  1. find area of rectangles using the formula
  2. calculate areas of Shapes, farmland etc in the environment
  3. solve problems on quantitative aptitude related to areas

Contents

  1. Area of rectangles including squares
  2. Areas of farmlands and towns or cities
  3. Quantitative aptitude on area

Teacher‘s Activities        

  1. Guides pupils to find area using square units
  2. Leads pupils to find area by using formulas
  3. Guides pupils to find areas of shapes, farmlands etc. in their environment
  4. Guides pupils to develop interest in find areas of shapes, structures and farmlands in their environment
  5. Guides them to solve problems on quantitative aptitude on areas

Student’s Activities

  1. Find small areas using unit squares
  2. Use formula to find areas of rectangles and squares
  3. Find areas of shapes, farmlands etc in their environment
  4. Solve problems on quantitative aptitude related to areas

Teaching & Learning Material

  1. Cardboard and unit square chart
  2. Classrooms, Desktops, Farmland etc

Evaluation Guide

  1. find areas using formula
  2. find large areas in square meters and hectares

Week 6

Topic: Capacity    

Performance objectives

  1. Add and subtract in liters;
  2. Multiply and divide in liters with whole numbers;
  3. Solve problems on quantitative aptitude related to addition, subtraction, multiplication and division in involving liters.

Contents

  1. Addition and subtraction involving liters.
  2. Multiplication and division involving liters

Teacher’s Activities        

  1. Leads pupils to solve problems in addition and subtraction involving liters e.g.
    • 7.5 liters + 2.7 liters = 10.2 liters.
  2. Leads pupils to solve problems on multiplication and division involving liters e.g.
    • 2 liters x 6= 18.12 liters
    • liters ÷ 6 = 0.36 liters
  3. Guides pupils to solve problems on quantitative reasoning involving multiplication and division using liters.

Student’s Activities

  1. Solve problems in addition and subtraction involving liters.
  2. Solve problems on multiplication and division involving liters.
  3. Solve problems on quantitative aptitude involving liters.

Teaching & Learning Material

  1. Card board

Evaluation Guide

  1. Add and subtract given problems in liters.
  2. Divide and multiply with whole number in problems involving liters.
  3. Solve problems on quantitative aptitude on multiplication and division involving liters.

Week 7

Topic:          Plane shapes

Performance objectives

  1. Identify symmetrical plane shapes
  2. Locate line(s) of symmetry of objects in the school and homes;
  3. Distinguish between horizontal and vertical lines
  4. Indicate the four cardinal points and relate the setting and rising of the sun on the cardinal points of the East and West.

Contents

  1. Symmetry or non- symmetry of plane shapes:
    •  Square
    • Rectangle
    • Equilateral and Isosceles triangles
    • Rhombus
    • Trapezium
    • Parallelogram
    • Kits
  2. Horizontal and vertical lines
  3. Cardinal points:
    • North
    •  South
    •  East
    • West

Teacher’s Activities        

  1. Guides pupils to fold the cut out plane shapes to find their line(s) of symmetry.
  2. Leads pupils to locate the line(s) of symmetry of each of the plane shapes.
  3. Leads pupils to appreciate symmetry in life situations.
  4. Guides the pupils to locate vertical and horizontal lines in the classroom and other materials around them.
  5. Guides the pupils to locate the four cardinal points and relate them to the geography of Nigeria.
  6. Leads pupils to relate the rising and setting of the sun to the cardinal points.

Student’s Activities

  1. Carryout the folding and cutting out plane shape to find the line(s) of symmetry.
  2. Locate the line(s) of symmetry of the plane shape.
  3. Locate various horizontal and vertical lines in the classroom and other materials around them.
  4. Locate the four cardinal points and relate them to the geography of Nigeria.
  5. Relate the rising and setting of the sun to the cardinal points.

Teaching & Learning Material

  1. Plane shapes, etc charts, plane shapes, etc. Chart and model of the four cardinal points.

Evaluation Guide

  1. Identify line(s) of symmetry of given plane shapes
  2. locate line of symmetry of given objects in their homes
  3. locate the horizontal and vertical lines on given objects
  4. mention five objects or materials that have horizontal and vertical lines in their environment
  5. locate given cardinal points on the chart and model
  6. mention the location of two given capitals of states in Nigeria

Week 8

Topic: Three dimensional shapes

Performance objectives

  1. distinguish between open and closed shapes
  2. identify the uses of 3- dimensional shapes in homes and their environment

Contents

  1. Cuboids, cubes and cylinders

Teacher’s Activities        

  1. Guides pupils to separate the open shapes and closed shapes and discuss their features
  2. Leads pupils to identify uses of 3- dimensional shapes in homes and environment

Student’s Activities

  1. Note and write down the features of open and closed shapes
  2. Identify the uses of 3- dimensional shapes in homes and environment

Teaching & Learning Material

  1. Cartons
  2. Milk tins
  3. Plastic buckets, etc
  4. Water tanks

Evaluation Guide

  1. Pupils to distinguish between open and closed shapes from a given collection of shapes

NERDC Maths Curriculum for Upper Primary School. Buying and selling of shares and dividends – Schemeofwork

SUBJECT:     GENERAL MATHEMATICS               CLASS LEVEL: PRIMARY 4

THEME 5: EVERYDAY STATISTICS

Week 1

Topic:    Bar Graph

Performance objectives

  1. draw bar graphs
  2. read bar graphs
  3. identify bar graph mode
  4. identify the most common events/ data in daily life activities

Contents

  1. Bar graph
  2. Bar Graph Mode

Teacher’s Activities        

  1. Guides pupils to Revise pictogram and idea of mode
  2. Guides pupils to Generate and presents data for the construction of bar graphs
  3. Leads pupils to read and interpret information in bar graphs
  4. Leads pupils to use bar graphs in presenting information
  5. Guides pupils to identify results involving bar graphs and mode of giving data
  6. Leads pupils to determine bar graph mode and least value from bar graphs
  7. Leads pupils to identify and find the mode of bar graphs of such statistical data as population distribution, amount of rainfall by months etc

Student’s Activities

  1. Construct bar graphs by representing given data on bar graphs
  2. Read and Interpret information from bar graphs
  3. Use of bar graphics in representing information in their environment
  4. Identify the relation between bar graph and mode of a given data
  5. Give the mode on the bar graph and also the least value from bar graphs

Teaching & Learning Material

  1. Cardboard showing horizontal and vertical bar graphs
  2. Mathematical game or demonstration designed by the teacher
  3. Bar Graph chart

Evaluation Guide

  1. construct horizontal and vertical bar graphs of a given data
  2. solve problems from their environment where data can be represented using bar graphs
  3. identify bar graph
  4. determine the mode of a bar graph generated from their environment

Maths Curriculum for Primary 5

THEME:  NUMBERS AND NUMERATION

Week 1

Topic:    Whole numbers

Performance objectives

  1. count in thousands and millions
  2. apply counting of large numbers such as in population of states or country
  3. solve quantitative aptitude problems related to thousand and millions
  4. identify prime numbers less than 100

Contents

  1. Meaningful counting in thousands and millions
  2. Quantitative reasoning
  3. Identification of prime number less than 100

Teacher’s Activities        

  1. Guides pupils to use abacus to form and read given number e.g. 895,643
  2. Guides pupils to design various practices for counting and ordering numbers in thousands and million
  3. Guides pupils to write several numbers in thousand and millions in words and figures
  4. Guides pupils to solve quantitative reasoning, problem on counting in thousand and millions e.g.
  5. Guides pupils to find factors of numbers ranging from 1 to 100 in order, leading them to prepare a table of factor chart
  6. guides pupils to identify prime numbers in each set
  7. guides pupils to express numbers as product of prime factors

Student’s Activities

  1. Form and read numbers using an abacus
  2. Count and order numbers
  3. Read and write numbers up to a million in words and figures
  4. Solve problems on quantitative reasoning involving counting in thousands and millions
  5. Find the factors of numbers in each set
  6. Express numbers as product of prime factors

Teaching & Learning Material

  1. Abacus, Number chart and table of factor chart

Evaluation Guide

  1. Count in thousands and millions
  2. Read and write numbers in words and figures
  3. Solve problems on quantitative reasoning involving counting in thousands and millions
  4. Identify prime numbers from 1 to 100
  5. Express given numbers as product of prime factors

Week 2

Topic: Fractions

Performance objectives

  1. change fraction to decimals and decimals to percentages and vice versa
  2. solve quantitative aptitude problems related to percentages
  3. state the relationship between fraction and ratio
  4. solve quantitative aptitude problem related to ratio

Contents

  1. Percentages
  2. Ratio
  3. Quantitative reasoning on ratio

Teacher’s Activities

  1. Guides pupils to convert fractions to decimals and decimals to percentages and vice versa
  2. Solve quantitative aptitude problems related to percentages
  3. Guides pupils to state examples in which ratio is used
  4. Guides pupils in solving problems on sharing
  5. Guides pupils to determine the ratio of 2 numbers
  6. Guides pupils to identify the relationship between ratio and fraction
  7. Guides pupils to solve quantitative reasoning problems on ratio

Student’s Activities

  1. Convert fraction to decimals and decimals to percentage and vice versa
  2. Solve quantitative aptitude problems related to percentages
  3. State examples in which ratio is used
  4. Determine the ratio of two numbers
  5. Identify the relationship between ratio and fraction
  6. Solve problems on ratios and fractions involving quantitative reasoning

Teaching & Learning Material

  1. Fraction-Decimal conversion chart, Fraction-percentage chart, Decimal-percentage conversion chart, Percentage-Decimal conversion chart. Flash card

Evaluation Guide

  1. Change fraction to decimal and decimal to percentage and vice versa
  2. State the relationship between ratio and fraction
  3. Solve quantitative reasoning problems on ratios
  4. Find the ratios between two numbers

Week 3

Topic: Multiplication

Performance objectives

  1. multiply a 3-digit number by a 3-digit number
  2. solve quantitative aptitude problems on multiplication
  3. apply “of‟ as multiplication when dealing with fractions of whole numbers
  4. multiply numbers by zero and one          
  5. multiply decimals by whole numbers     
  6. multiply decimal fractions by whole numbers    
  7. calculate squares of whole numbers more than 50 and square roots of perfect squares greater than 400
  8. solve quantitative aptitude problems involving squares of numbers more than 50 and square root of numbers greater than 400

Contents

  1. Multiplication of 3-digit number by a 3-digit number
  2. Quantitative reasoning multiplication
  3. Using the operation “of” as multiplication in fraction
  4. Multiplication of numbers by zero and one
  5. Multiplication of decimals by whole numbers
  6. Multiplication of decimal fractions by whole numbers
  7. Square of whole numbers more than 50 and square roots of perfect squares greater than 400

Teacher’s Activities        

  1. Guides pupils to multiply a 3-digit number by a 3-digit number e.g. 437 x 132
  2. Guides pupils to solve quantitative aptitude problems on multiplication e.g.
  3. Guides pupils to apply the meaning of ‘of’ as multiplication such as: 1/2 of 18 = 9 or ½ x 18 = 9
  4. Gives correct interpretation of zero and one as shown below
  5. Guides the pupils to multiply given numbers by zero and one
  6. Guides pupils to solve the examples as follows
    • 2.86 x 5 =
    • 1.27 x 4 =
  7. Guides pupils to solve problems on multiplication of decimal fractions by whole numbers
  8. Guides pupils to find the square of given whole numbers more than 50
  9. Guides pupils to find the square root of perfect square of whole number greater than 400
  10. Guides pupils to solve quantitative aptitude problems

Student’s Activities

  1. Multiply a 3-digit number by a 3-digit number
  2. Solve given problems on quantitative aptitude problems on multiplication
  3. Bring their own bell to class
  4. Apply the meaning of „of‟ as multiplication in a fraction
  5. Interpret the given problems
  6. Solve problems on multiplication of numbers by o and 1
  7. Multiply given decimals by whole numbers.
  8. Carryout multiplication of decimal fraction by whole numbers
  9. Find the square of a given whole number more than 50
  10. Find the square root of a perfect square of a whole number greater than 400
  11. Solve more quantitative aptitude problems on square roots and square of whole numbers

Teaching & Learning Material

  1. Cardboard
  2. Chart showing quantitative aptitude problems on multiplication
  3. Orange ball etc
  4. Flip Chart
  5. Multiplication Charts
  6. Interpret the given problems
  7. Charts of whole numbers more than 50 and perfect square greater than 400
  8. Charts on quantitative aptitude problems on square of numbers more than 50 and square root of numbers greater than 400

Evaluation Guide

  1. Multiply a 3-digit number by a 3-digit number
  2. Solve quantitative aptitude problems involving multiplication of 3- digit numbers by 3- digit number
  3. Solve given problem on the operation of “of” as multiplication in fractions
  4. Solves problems on multiplication by o and 1
  5. Multiply decimals by whole numbers
  6. Multiply decimal fractions by whole numbers
  7. Calculate the squares and square roots of given number more than 50 and greater than 400 respectively
  8. Solve quantitative aptitude problems on squares of numbers more than 50 and square roots of numbers greater than 400

Week 4

Topic: Division

Performance objectives

  1. divide numbers by 10 and multiples of 10 up to 90
  2. solve quantitative aptitude problems involving division of number by 10 and multiples of 10 up to 900
  3. divide numbers by 100 and 200

Contents

  1. Division of numbers by 10, 20,  90
  2. Quantitative reasoning on division
  3. Division by 100 and 200

Teacher’s Activities

  1. Guides pupils to determine how many group of 10, 20, 30 … 90 are in a given number e.g. there are 3 groups of 10 in 30 Thus. 30 ÷ 3 = 3
  2. Guides pupils to identify that in multiplying by 10, the decimal point is shifted once to the left to obtain the result of division
  3. Guides pupils on how to solve quantitative problems on division
  4. Guides pupils to divide numbers by 100 and 200 by shifting decimal point
    •  Twice to left when dividing by 100; ii) twice to the left when dividing by 200 and then divide by

Student’s Activities

  1. Determine the number of group to obtain 10,20,30 …90 in a given number
  2. Apply the rule of shifting decimal points once to the left to obtain result of divided numbers by 10
  3. Solve given problems in quantitative aptitude on division
  4. Carry out division of numbers by 100 and 200

Teaching & Learning Material

  1. Carry out division of numbers by 100 and 200
  2. Charts containing worked problems involving division of number by 100 and 200

Evaluation Guide

  1. Divide given numbers by 10 and multiples of 10
  2. Solve quantitative aptitude problems involving division of number by 10 and multiples of 10 up to 900
  3. Solve given exercises on division by 100 and 200

THEME 2:  BASIC OPERATIONS

Week 1

Topic:  Addition and subtraction

Performance objectives

Pupils should be able to:

  1. Add and subtract numbers involving three or more digits.
  2. add and subtract mixed fractions
  3. solve quantitative aptitude problems involving addition and subtraction of fractions
  4. Add and subtract decimal fractions.
  5. solve quantitative aptitude problems involving division of numbers by 100 and 200
  6. divide decimals by multiples of 10 up to 900
  7. solves quantitative aptitude problems of decimals
  8. Add and subtract numbers using number line
  9. Add and subtract numbers using number line
  10. Solve problems on quantitative aptitude involving addition and subtraction on the number line
  11. divide decimals by 100 and 200
  12. divide whole numbers by 2-digit numbers

Contents

  1. Addition and subtraction of whole numbers in involving three or more digits.
  2. Addition and subtraction of mixed fractions and mixed numbers
  3. Quantitative reasoning on addition and subtraction of fractions
  4. Addition and Subtraction of decimal fractions
  5. Quantitative reasoning on division of numbers by 100 and 200
  6. Division of decimals by multiples of 10 up to 900
  7. Quantitative reasoning on decimals
  8. Addition and subtraction of Positive and negative integers.
  9. Division of decimals by 100 and 200
  10. Division of whole number by 2-digit numbers

Teacher’s Activities        

  1. Guides pupils to add or subtract columns under unit first, tens and hundreds e.g.

TH H T U

5 6 7 4

3 4 6 0

2 5 7 0

  • Guides pupils to solve quantitative aptitude problems on addition and subtraction of fractions.
  • Guides pupils to add or subtract Numerator to get the sum.
  • Guides pupils in solving quantitative aptitude problems involving addition and subtraction of fractions.
  • Guides pupils to add and subtract decimal fractions.
  • Guides pupils to solve quantitative aptitude problems involving division by 100 and 200 e.g.
  • Guides pupils to divide decimals by multiples of 10 up to 90 by shifting decimal point e.g.
    • 32.5 = 3.25 10
    • 710.4 = 71.04 = 35.52 20 2
  • Guides pupils to solve quantitative aptitude problems such as: 30.8
  • Guides pupils to divide decimals by 100 and 200 e.g. 236.53 = 2.3653 100
  • Guides pupils in the division of 2 whole numbers by 2 digit numbers as follows divide 357 by 21:
    • 1 7
    • 21
    • 14 7
    • 14 7

Student’s Activities

  1. Arrange counter into TH H T U
  2. Carryout addition and subtraction of numbers
  3. Carryout addition and subtraction of mixed fractions.
  4. Use LCM method to add and subtract mixed fractions.
  5. Solve quantitative aptitude problems involving addition and subtraction of fractions.
  6. Add and subtract decimal fractions
  7. Observe charts provided
  8. Solves given problems in quantitative aptitude involving division by 100 and 200
  9. Divide given decimals by multiples of 10 up to 90.
  10. Solve given quantitative aptitude problems.
  11. Divide decimal fractions by 100 and 200.
  12. Solve the division of whole numbers by 2- digit numbers.

Teaching & Learning Material

  1. Flash cards, Abacus etc Fraction chart Cardboard
  2. Quantitative aptitude charts with worked examples
  3. Division charts of worked examples on division of decimals

Evaluation Guide

Pupils to:

  1. add and subtract numbers involving three or more digits
  2. solve problems on quantitative aptitude involving addition and subtraction of fraction
  3. solve quantitative aptitude
  4. add and subtract given fractions and mixed fractions
  5. add and subtract given decimal fractions
  6. Solve quantitative aptitude problems involving division by 100 and 200
  7. Solve given problems on division decimals by multiples of 10
  8. Solves quantitative aptitude problems involving division of decimals by multiples of 10.
  9. Divide given decimals by 100 and 200;
  10. Solve problems on division by 2-digit number.

Week 2

Topic: Use of Number line in addition and subtraction

Performance objectives

  1. Add and subtract numbers using number line
  2. Solve problems on quantitative aptitude involving addition and subtraction on the number line

Contents

  1. Addition and subtraction of Positive and negative integers.
  2. Quantitative reasoning problem involving number line.

Teacher’s Activities

  1. Guides pupils to add and subtract numbers using number line.
  2. Guides pupils to Solve problems on quantitative aptitude using number line Such as: Complete the pyramid

Student’s Activities

  1. Add and subtract numbers using the number line.
  2. Solve problems on quantitative aptitude using the number line

Teaching & Learning Material

  1. Rule, Charts, etc

Evaluation Guide

  1. Add and subtract numbers using the number line.
  2. Solve problems on quantitative aptitude using number line.

Grade 5 NERDC Mathematics Curriculum for Primary 5. Quantitative aptitude problem, right angle triangle, perpendicular lines – Schemeofwork

THEME 3:  ALGEBRAIC PROCESSES

Week 1

Topic:    Open sentences

Performance objectives

Pupils should be able to:

  1. Find the missing number in open sentences.
  2. use letters to represent boxes in open sentences
  3. Find the missing numbers that the letters represents.
  4. interpret each box in a mathematical statement represent a letter that could be found
  5. Use letters to represent the missing numbers in quantitative aptitude problems and find their values.

Contents

  1. Open sentences Quantitative reasoning on open sentences

Teacher’s Activities        

  1. Guides pupils to use letters to represent boxes e.g. _ + 5 = 8
  2. Guides pupils to solve problems of the form 2t – 7 = 5
  3. Guides pupils to solve quantitative aptitude problems on open sentences.

Student’s Activities

  1. Use letters to represent boxes in open sentences
  2. Find the unknown ‘t’ in the given statement
  3. Solve quantitative aptitude problems on open sentences

Teaching & Learning Material

  1. flash cards and charts

Evaluation Guide

Pupils to:

  1. Use letters to represent open sentences.
  2. solve problems on open sentences
  3. solve given quantitative aptitude problems on open sentences

SUBJECT:        GENERAL MATHEMATICS            CLASS LEVEL: PRIMARY 5

THEME 4: MENSURATION AND GEOMETRY

Week 1

Topic:    Money

Performance objectives

Pupils should be able to:              

  1. compare Nigerian units of money with pounds sterling, American dollars and some West African
  2. Countries;          
  3. solve problems on profit and loss, simple interest, commission, discount and transaction in the post offices, market etc;
  4. Solve quantitative reasoning problems on money.

Contents

  1. Nigerian Naira, pound Sterling, Dollars, Ghana Cedes and Pesewa, Sierra Leone’s Leone and cents etc.
  2. Money: social transactions, Home Banks, post Office, Market.
  3. Quantitative reasoning on money transactions

Teacher’s Activities        

  1. Guides pupils to view charts showing currency and its conversion rates of Naira to other currencies.
  2. Guides pupils to explain that the demand (i.e. market force) for any currency will determine the conversion rates, hence fluctuation of conversion rates
  3. Guides the pupils to convert from one currency to another.
  4. Guides pupils to carry out profit and loss, simple interest, commission, discount and the transactions in the offices, bank and market.
  5. Guides pupils to solve quantitative reasoning problems on money

Student’s Activities

  1. Carry out conversion of one currency to the other as contained in the chart.
  2. Link rates of conversion to the purchasing power quoted in foreign currencies
  3. Calculate profit and loss, simple interest, commission, discount and the transactions in the offices, banks and market
  4. Solve quantitative reasoning problems involving money.

Teaching & Learning Material

  1. Nigerian bank notes and coins, foreign currencies, pictures and charts showing picture of currency rates.
  2. Stamps, Nigerian bank notes and coins, models of money, shopping corner with goods and their carry price tag
  3. Charts of solved examples on quantitative reasoning problems on money.

Evaluation Guide

Pupils to:

  1. Identify various currencies
  2. Convert one currency to another.
  3. explain the implications of the rate of conversion on purchasing of the people
  4. list their individual needs and ways of meeting them accordingly
  5. Calculate profit and loss simple interest and discount rates. etc
  6. solve quantitative reasoning problems on money

Week 2

Topic: Length

Performance objectives

Pupils should be able to:

  1. find the perimeter of regular shape such as square rectangle, trapezium and polygon;
  2. Find circumference of a circle when the radius is given.
  3. Establish the relationship between c and Π d and find the circumference

Contents

  1. Perimeter of regular shapes e.g. square, rectangle trapezium and polygon
  2. Circumference of a circle of given radius
  3. Circumference of a circle with a given diameter

Teacher’s Activities        

  1. Leads pupils to discover that perimeter means total distance round a shape
  2. Guides pupils to use the formula 2 (L+B) in calculating perimeter of square or rectangle as shown below: L B B L P= L+B+L+B =L+L+B+B = 2L+2B = 2(L+B)
  3. Guide pupils to identify properties of circle such as: radius= diameter Circumference
  4. Guides pupils to find the circumference of a circle of given radius using circumference=2IIr.
  5. Guides pupils to find the circumference of a circle when the diameter is given. C= IId.

Student’s Activities

  1. Find the perimeter of regular shapes     
  2. Find the perimeters of given objects.    
  3. Write the properties of a circle e.g. radius diameter and circumference in their  exercise books  circles
  4. Find the circumference of circles with given radii
  5. Find the circumference of a circle when diameter is given.

Teaching & Learning Material

  1. Chart containing regular shapes.
  2. Concrete objects that are circular in shapes, charts containing circle and its properties

Evaluation Guide

Pupils to:

  1. Find perimeter of regular shapes
  2. state properties of circle
  3. Calculate the circumferences of circles with given radii.
  4. Calculate circumference of a circle with given diameter.

Week 3

Topic: Weight

Performance objectives

Pupils should be able to:

  1. solve word problems on weight
  2. solve problems on quantitative aptitude involving weight

Contents

  1. Word problems on weight involving kg and g
  2. Quantitative reasoning on weight

Teacher’s Activities        

  1. Guides pupils to identify the weight of common goods in the environment and carry out addition, subtraction multiplication and division involving weight of goods
  2. Guides pupils to Solve quantitative aptitude problems related to weight.

Student’s Activities

  1. Divide the total weight of pupils in the class by the total number of pupils in class.
  2. Solve problems on quantitative aptitude involving weight

Teaching & Learning Material

  1. Weighing scale, charts of weight of common goods: a bag of cement, a bag of ground- nut, a bag of rice, etc.

Evaluation Guide

Pupils to:

  1. Add the weights of given objects.
  2. Solve problems on quantitative aptitude involving weights.

Week 4

Topic:  Time         

Performance objectives

Pupils should be able to:

  1. Calculate average speed of a moving object.

Contents

  1. Average speed.

Teacher’s Activities        

  1. Guides pupils to define average speed as.
    1. Average speed = distance/ time              
  2. Guides pupils to solve problems on average speed.
  3. Guides pupils to solve word problems involving average speed.

Student’s Activities

  1. Define average speed
  2. Find average speed in given problems.
  3. Solve word problems involving average speed, etc.

Teaching & Learning Material

  1. Drawing of speedometer and  Pupils to find average cardboard showing some speed of given word examples of average speeds

Evaluation Guide

  1. Pupils to find average speed of given word problems.

Week 5

Topic: Temperature

Performance objectives

 Pupils should be able to:

  1. Compare degrees of hotness of various objects and areas (locations) in degree Celsius.
  2. Identify the usefulness of temperature to our daily life.

Contents

  1. Familiarity with temperature of objects and towns in degrees (Celsius oC)

Teacher’s Activities        

  1. Guides pupils to read thermometers to ascertain temperature of people, objects and locations.

Student’s Activities

  1. Read thermometers to thermometers to ascertain temperature of people, objects and locations.

Teaching & Learning Material

  1. Thermometer, data on meteorological information on some towns

Evaluation Guide

  1. Read temperature of given objects.
  2. Compare temperatures of objects, town and locations.

Week 6

Topic:  Area

Performance objectives

  1. Pupils should be able to calculate the area of a right angle triangle.

Contents

  1. Area of a right angled triangle.

Teacher’s Activities        

  1. Guides pupils to divide a rectangle into two halves along its diagonal to form two equal right angled triangles.
  2. Guides pupils to derive the formula for area of right angled triangle i.e. ½ of area of rectangle or ½ (base x heights).
  3. Guides pupils to calculate the area of the right angle triangle.

Student’s Activities

  1. Derive and use formula to calculate the area of a right angled triangle

Teaching & Learning Material

  1. Charts, etc

Evaluation Guide

  1. Pupils to find the area of a given right angled triangle.

Week 7

Topic:          Volume

Performance objectives

  1. use cubes to find the volume of cuboids and cube;
  2. use formula to find volume of cuboids;
  3. Identify the different between cubes and cuboids.

Contents

  1. Volume of cuboids and cubes.
  2. Volume of cuboids V= L x b x h cubic unit

Teacher’s Activities        

  1. Guides pupils to count the number of cubes unit that makes up a cube or cuboids.
  2. Guides pupils to find volume in unit cubes.
  3. Guides pupils to measure length, breadth and height of cuboids and find the volume in cubic units.

Student’s Activities

  1. Count number of unit cubes in cuboids.
  2. Write the volume in cubic units.
  3. Use unit cubes to build more cuboids.
  4. Find volume of cuboid using the formula: V=L x b x h cubic units

Teaching & Learning Material

  1. Unit cubes, etc 
  2. Unit cube and cuboids.

Evaluation Guide

Pupils to:

  1. find volumes in cube units;
  2. find given volume of cuboids using L x b x h

Week 8

Topic: Capacity    

Performance objectives

Pupils should be able to:

  1. Find the relationship between liters and cubic centimeters.
  2. identify the use of liter as a unit of capacity and the established relationship between liter and cm

Contents

  1. Liters as cm3 : 1 liter =1000 cm3

Teacher’s Activities        

  1. Guides pupils to compare the volume of the open cube and that of the liter container.
  2. Guides pupils to identify liter as a unit of capacity and the relationship between liter and cm3

Student’s Activities

  1. Compare capacity of the container and the cube of dimension 10cm x 10cm x10cm
  2. Identify that 1 liter = 1000 cm3
  3. Establish the relationship between liter and cm3

Teaching & Learning Material

  1. Liter, capacity container Cube of dimension 10cmx10cmx10cm

Evaluation Guide

  1. Construct their own cube of dimension 10cmx10cmx10cm.
  2. Compare the liquid content of their model with that of a liter container and comment.

Week 9

Topic: Structure of Earth

Performance objectives

Pupils should be able to

  1. Describe shape of earth.
  2. compare volume of a sphere and cuboid

Contents

  1. Shape of earth and volume of sphere

Teacher’s Activities        

  1. Guides pupils to describe the shape of earth usually globe
  2. Puts the globe in an open box of dimension L x b x h
  3. Guides pupils to identify that the volume of globe is less than that of enclosing cuboid

Student’s Activities

  1. Describe earth as a spherical object
  2. Calculate volume of the cuboids.
  3. Shows that the volume of the globe is less than the volume of the cuboid enclosing it.

Teaching & Learning Material

  1. Globe, cardboard, box, oranges, etc.

Evaluation Guide

  1. Pupils to say which is bigger, volume of sphere or volume of the cuboid that encloses it.

Week 10

Topic: Plane Shape

Performance objectives

Pupils should be able to:

  1. Identify parallel and perpendicular lines.
  2. Solve quantitative aptitude problems on plane shapes.
  3. State some properties of triangles including equilateral, isosceles and right angle triangle.
  4. Solve some quantitative aptitude problems involving triangles.

Contents

  1. Parallel and perpendicular lines
  2. Quantitative aptitude on parallel and perpendicular lines.
  3. Triangles:
    1. Equilateral
    1. Isosceles
    1. Right-angled.
  4. Quantitative reasoning on triangles

Teacher’s Activities        

  1. Guides pupils to explain parallel and perpendicular lines using edges of the board.
  2. Guides pupils to identify parallel and perpendicular lines using objects in the classroom.
  3. guides pupils to use symbols for parallel lines and perpendicular lines
  4. guides pupils to solve quantitative aptitude problems using symbols for parallel lines and perpendicular lines
  5. Guides pupils to discover the features of equilateral triangle, isosceles triangle and right angled triangle.
  6. leads pupils to solve some quantitative aptitude problems

Student’s Activities

  1. Identify parallel and perpendicular lines in selected objects
  2. Label parallel lines and perpendicular lines
  3. Solve quantitative aptitude problems with symbols for parallel and perpendicular lines
  4. State the features of equilateral triangle, isosceles triangle and right angled triangle.
  5. Solve some Quantitative aptitude problems on triangle

Teaching & Learning Material

  1. 2 and 3 dimensional shapes Models of: Equilateral, Isosceles, Right angled triangles

Evaluation Guide

Pupils to;

  1. Identify parallel and perpendicular lines.
  2. Solve quantitative aptitude problems on parallel and perpendicular lines.
  3. State two properties each of an equilateral, isosceles and aright-angled triangles
  4. Solve given quantitative aptitude triangle problems.

Week 11

Topic: 3 dimensional shapes

Performance objectives

Pupils should be able to:

  1. State properties of 3 dimensional shapes such as cubes, cuboids, pyramids, etc
  2. Solve quantitative aptitude problems related to 3 dimensional shapes such as cubes, cuboids and pyramid etc.

Contents

  1. Cube, cuboid, pyramid and a square base, and triangular base.
  2. Quantitative reasoning related to 3-dimensional shapes

Teacher’s Activities

  1. Guides pupils to identify properties of 3 dimensional shapes such as cube, cuboid, and cylinder etc.
  2. Guides pupils to solve quantitative aptitude problems related to cube, cuboid and pyramid such as

Student’s Activities

  1. State properties of cubes, cuboids and pyramids.
  2. Solve quantitative aptitude problems related to cube, cuboid and pyramid.

Teaching & Learning Material

  1. Graph paper, cardboard sheets, models of 3 dimensional shapes, etc.

Evaluation Guide

Pupils to:

  1. Give the properties of 3-dimensional shapes
  2. Solve given quantitative aptitude problems relating to three dimensional shapes.

Week 12

Topic: Circle

Performance objectives

Pupils should be able to:

  1. identify
    1. radius
    1. diameter
    1. circumference of a circle
  2. Solve quantitative aptitude problems on circle.
  3. Identify and determine a radius on the diameter of the circumference of a circle

Contents

  1. Circle
    1. Radius
    1. Diameter
    1. Circumference
  2. Quantitative reasoning on circle

Teacher’s Activities

  1. Guides pupils to measure the distance from the center of any point on the circumference and vice versa.
  2. Guides pupils to measure distance round the circle to determine the circumference.
  3. Guides pupils to solve some quantitative aptitude problems on circles.
  4. Guides pupils to identify the relationship between radius and diameter of the circles

Student’s Activities

  1. Measure the distance from the center to any point on the circumference
  2. State the relationship between radius and diameter
  3. Determine the distance round the circle and determine the circumference of the circle.
  4. Solve some quantitative aptitude problems on circle.

Teaching & Learning Material

  1. strips of cards, pencil, pin, tray, sand of a given circle etc

Evaluation Guide

Pupils to:

  1. Draw circles of different radius and obtain diameter for the circle
  2. Obtain the Circumference of the circles with different radius
  3. Solve some problems on quantitative aptitude relating to circles.

SUBJECT:     GENERAL MATHEMATICS        CLASS LEVEL:  PRIMARY 5

THEME 5:  EVERYDAY STATISTICS

Week 1

Topic:    Data Presentation

Performance objectives

  1. Prepare a tally of data
  2. Draw bar graphs and pictograms of information collected locally

Contents

  1. Further work on pictograms and bar graphs
  2. Use tally and tables

Teacher’s Activities        

  1. Guides pupils to Select data on test results of pupils in the class (full mark 25) or select data from the mathematical game or activity designed by the teacher e.g. from a card or other games
  2. Guides pupils to use tally to represent the information
  3. Guides pupils to Identify and represent information using data from events on daily life activities
  4. Present data generated by tally in tabular form.
  5. Guides pupils to represent data on pictogram
  6. Guides pupils to represent data on bar graphs

Student’s Activities

  1. Select and Records pupils score
  2. Use tally to represent the information
  3. Present the data in tabular form
  4. Represent the information using pictogram
  5. Represent the information on the bar graph

Teaching & Learning Material

  1. Data on test results
  2. data on weather
  3. data on election
  4. biological data
  5. teachers game or activity etc

Evaluation Guide

  1. Prepare and present a tally of data and put it in a tabular form
  2. Draw pictogram and bar graph of a given data
  3. prepare a tally of a set of data
  4. Construct pictogram and bar graph of a given data

Week 2

Topic:  Measures of central tendency

Performance objectives

  1. Find the mode of given data
  2. Identify the mode as applicable in daily life activities
  3. Calculate the mean of a given data
  4. Identify mean of a set of data in daily life activities
  5. Solve quantitative aptitude problems on mode and mean of data
  6. Calculate the mean of given data.
  7. Appreciate the concept of mean of a set of data in daily activities

Contents

  1. Mode of a given data
  2. Mean of data
  3. Quantitative reasoning

Teacher’s Activities        

  1. Leads the pupils to get data from their environment and ask them to calculate the mode
  2. Guides pupils data and asks them to prepare a tally of a data and find the mode
  3. Guides pupils to calculate the mean from a given data
  4. Guides pupils to calculate mean from data gathered from their environment e.g. average number of students in each arm of the class.
  5. leads the pupils to solves quantitative reasoning problems such as

Student’s Activities

  1. Prepare tally of data and record the mode
  2. Carry out experiment to get data from the environment and find the mode.
  3. Calculates the mean from the given data
  4. Solve quantitative reasoning problems on mode and mean

Teaching & Learning Material

  1. chart, etc
  2. Data chart.

Evaluation Guide

  1. Find the mode of a given set of data
  2. calculate mean of given data
  3. calculate the mean from data gotten from the environment daily activities
  4. solve quantitative reasoning problems on mode and mean of given data

Week 3

Topic: Tossing coins and throwing of die

Performance objectives

Pupils should be able to:

  1. Record in data from , experiments on coin tossing and dice throwing
  2. Identify various chance events in their daily life activities

Contents

  1. Tossing of coins and throwing of dice.
  2. Other chance events

Teacher’s Activities       

  1. Guides pupils to toss a coin 20 times and record the number of times a head appears and the number of times a tail appears.
  2. Guides pupils to prepare a tally for their results
  3. Guides pupils to throw a dice 24 times and record occurrence of 1,2,3,4,5,6
  4. Guides pupils to prepare tally for their results
  5. Guides the pupils to identify various chance events in their daily life activities.

Student’s Activities

  1. Toss the coin 20 times and records the number of times a head appears and number of times the tail appears.
  2. Prepare a tally of heads and tails (20 tosses)
  3. Throw the die 24 times and records the number of times of occurrence of 1,2,3,4,5 and 6
  4. Prepare tally from the results
  5. Identify various chance events in their daily life activities.

Teaching & Learning Material

  1. Coin, die.            

Evaluation Guide

  1. Pupils to perform experiments as directed by the teacher, and record the result by tallying.

Maths Curriculum for Primary 6

THEME 1:  NUMBER AND NUMERATION

Week 1

Topic:    Whole Numbers

Performance objectives

  1. Count in millions and billions;
  2. Write and read up to one million;
  3. Solve problems involving quantitative reasoning;
  4. Give the place value and the value of a digit in a given whole number;
  5. Identify numbers in place value.
  6. Solve problems on quantitative reasoning with value and place value;
  7. Give the value and place value for a digit in a decimal fractions;
  8. Solve quantitative aptitude problems related to place value;
  9. Find LC M of 2-digits whole numbers.
  10. Find HCF of 2-digits whole numbers;
  11. Solve quantitative aptitude problem on LCM and HCF.

Contents

  1. Counting in millions and billions.
  2. Writing and reading up to one million.
  3. Quantitative reasoning.
  4. Value and place value of whole numbers.
  5. Value and place value of decimal fractions vii. LC M of 2-digits whole numbers.
  6. HCF of 2-digits whole numbers
  7. Quantitative reasoning

Teacher’s Activities        

  • Guides the pupils to revise the previous work in counting up to counting in millions.
  • Guides pupils to count in millions up to nine hundred millions.
  • Guides pupils to read up to one millions as shown below: Numeral word form 1,000,000 one million 10,000,000 ten million 50,000,000 fifty million 100,000,000 one hundred million 500,000,000 five hundred million 1000,000,000 1 billion
  • Devises other practices or methods to write and read up to one billion.
  • Guides pupils to solve problems in quantitative reasoning.
  • Guides the pupils in revising the previous work on place value and value of a digit.
  • Guides pupils to find the place value and value of numbers e.g. The number 347840 has the value and place value of each digit as follows:
    • 3 = 300,000
    • 4 = 40,000
    • 7 = 7,000 }values
    • 8 = 800
    • 4 = 40
    • 0 = 0
    • Hth tth th h t u } place
    • 3 4 7 8 4 0 } value
  • Guides pupils to solve problems in quantitative reasoning on value and place value.
  • Guides pupils in revising previous work on decimal fractions.
  • Guides pupils to find the place value and value of decimal fractions e.g. The number 634.578 has the value and place value of each digit as follows:
    • 6 = 600
    • 3 = 30
    • 4 = 4
    • 5 = 5/10 or 0.5 }value
    • 7 = 7/100 or 0.07
    • 8 = 8.1000 or 0.008
    • H t u t h th } place
    • 6 3 4 5 7 8 }value
  • Guides pupils to solve quantitative aptitude problems related to place value
  • Guides pupils to revise previous work on LCM of 1-digit numbers
  • Guides pupils to write out multiples of numbers say 10  and 12.
  • Guides pupils to list the common multiples of 10 and 12 as 60, 120, 240, and choose the least common multiple (LCM) i.e. 60.
  • Guides pupils to find LCM by factor method as:
    • 10 = 2 x 5
    • 12 = 2 x 2 x 3
    • LCM = 2 x 2 x 3 x 5 = 60
  • Guides pupils to revise previous work on HCF of 1-digit numbers
  • Guides pupils to list the factors of 2- digits numbers say 28 and 30 i.e.
    • Factors of 28 are 1,2,4,7,14,28
    • Factors of 30 are 1, 2, and 3,5,6,15,30.
  • Guides pupils to list the common factors of 28 and 30 as 1 and 2, then choose the Highest Common Factor (HCF) i.e. 2.
  • Guides pupils to find HCF by factor method as:
    • 28 = 1 x 2 x 2 x 7
    • 30 = 1 x 2 x 3 x 5 Common factors = 1 and 2
    •      HCF = 1 x 2 = 2
  • Guides pupils to solve quantitative aptitude problem on LCM and HCF.

Student’s Activities

  1. Revise counting up to one millions.
  2. Count in millions up to nine hundred million
  3. Write numbers up to one million.
  4. Devise other practices or methods to write and read up to one billion.
  5. Solve problems in quantitative reasoning.
  6. Give the value and place value of each of the digits in the given number.
  7. Solve problems in qualitative reasoning.
  8. Revise previous work on decimal fractions
  9. Give the value and place value of the decimal fractions.
  10. Solve quantitative aptitude problems on place value
  11. Revise the previous work on LCM of 1-digit numbers.
  12. List multiples of 10 and 12.
  13. Find the LCM of 10 and 12.
  14. Find the LCM of 10 and 12 by factor method.
  15. Compare the two methods of finding LCM.
  16. Revise the previous work on HCF of 1-digit number.
  17. Using common factor to find HCF e.g.
    • 2| 28| 30 14 |15
    • HCF of 28 and 30
  18. List factors of 28 and 30
  19. Find the HCF of 28 and 30 by factor method.
  20. Solve quantitative aptitude problem on LCM and HCF

Teaching & Learning Material

  1. Abacus and Charts of numbers, etc
  2. Chart of numbers, Abacus Relevant charts, Charts of factors and multiples of numbers.

Evaluation Guide

  1. Count in millions up to a specified number;
  2. Write up to one million;
  3. Solve given problems on quantitative reasoning;
  4. Give the place value of each of the digits in a given number.
  5. Solve problems on quantitative
  6. Give the value and place value of each digit in a given decimal fractions reasoning
  7. Solve quantitative aptitude problems on place value
  8. Find the multiples of given 2- digit numbers
  9. find the LCM of given 2-digit numbers by
    1. factor method
    1. multiples method
  10. Find the factors of given whole numbers
  11. Find the HCF of given whole numbers;
  12. Solve some quantitative aptitude problems involving HCF;
  13. Solve quantitative aptitude problem on LCM and HCF.

Week 2

Topic: Demography

Performance objectives

  1. Read, write and compare populations of small and big cities;
  2. Read and compare population of HIV prevalence in different countries
  3. Use counting in thousand and million in population studies

Contents

1              •             Population:

  1. families
    1. classes
    1. towns and cities etc
  2. Reading and comparing of populations

Teacher’s Activities        

  1. Guides pupils to define population.
  2. Guides pupils to give the populations of:
    1. Their houses
    1. classes
    1. Town etc.
  3. Guides pupils to read and write populations of some cities e.g. Lagos, Kano, Aba in the country using map of Nigeria.
  4. Guides pupils to read and compare population of HIV prevalence in different countries of the world
  5. Guides pupils to use counting in thousands and millions in population studies

Student’s Activities

  1. Define population.
  2. Give population of their houses, classes, towns etc.
  3. Read and write populations of some cities e.g. Lagos, Kano, Aba in the country using the map of Nigeria
  4. Read and compare population of HIV prevalence in different countries in the world.
  5. Use counting in thousands and millions in population studies.

Teaching & Learning Material

  1. Demography map of Nigeria Video of populations
  2. World Atlas and some published information from WHO on HIV/AIDS etc
  3. Flip charts

Evaluation Guide

  1. Define population;
  2. Read and write the population of big cities in Nigeria;
  3. Read and compare population;
  4. Read and compare population of HIV prevalence in some given countries of the world
  5. Give population of countries in Africa.

Week 3

Topic: Fractions   

Performance objectives

  1. Order fractions;
  2. Solve problem on quantitative reasoning;
  3. Express decimals as fractions and vice versa.

Contents

  1. Ordering of fractions
  2. Quantitative reasoning
  3. Decimals

Teacher’s Activities        

  1. Guides pupils to order fractions by first bringing the fractions to have the same denominator and consider the denominators e.g.   In the fractions, ½ and 3/5
    1. ½ = 1 x 5 = 5
    1. 2 x 5 10
    1. 3 = 3 x 2 = 6
    1. 5 2 x 5 10
    1. 5<6 then 5/10 < 6/10 Hence ½ is smaller than 3/5.
  2. Guides pupils to solve problems on quantitative aptitude e.g. Insert the appropriate symbol < or > in the diagram below
    1. 1½ 5/2
  3. Guides pupils to express decimals as fractions and vice versa e.g.
    1. 0.75 = 75 = 3
    1. 100 4L
    1. 2½ = 2 x 2 +1 = 5
    1. 2 2
    1. = 5 x 5 = 25 = 2.5
    1. 5 x 2 10

Student’s Activities

  1. Order fractions by first bringing the fractions to have same dominators and consider the dominators
  2. Solve problems on quantitative reasoning involving fractions
  3. Express given decimals as fractions and vice versa

Teaching & Learning Material

  1. Charts, flash charts, Flip charts of decimal Fractions

Evaluation Guide

  • Order given fractions
  • Solve quantitative aptitude involving fractions
  • Express given decimals as fractions and vice versa

Week 4

Topic: Ratios and Proportions

Performance objectives

  1. Solve problems on ratio;
  2. Apply ratio to everyday life;
  3. Solve quantitative reasoning problem involving ratio;
  4. Solve problems in direct proportion;
  5. Solve problems on quantitative reasoning involving direct proportion;
  6. Solve problems on inverse proportions;
  7. Identify some daily life activities that are inversely related;
  8. Solve problems on quantitative reasoning in inverse proportions

Contents

  1. Ratios
  2. Direct proportion
  3. Quantitative reasoning
  4. Inverse proportions

Teacher’s Activities        

  1. Guides pupils to revise previous work done on ratios
  2. Guides pupils to solve problems on population e.g. in a city of 10,000 people 100 of them are HIV positive. Find the ratio of those infected to the total population.
    1. Total population 100,000
    1. Infected population = 100
    1. The ratio of infected to total population is 100:10,000 or 1:100 or 1/100.
  3. Guides pupils to apply ratio to everyday life
  4. Guides pupils to solve quantitative problems related to ratios.
  5. Guides pupils to solve direct proportion problems e.g. a man saves money every day. If he saves ₦30 each day, how much can be saved in 4 days? Saving (₦) day
    1. 30 1
    1. 60 2
    1. 90 3
    1. 120 4
    1. He saves ₦120 in 4 days.
  6. Guides pupils to note that his saving is in direct proportion to the number of days.
  7. Guides pupils to solve problems on quantitative reasoning involving direct proportion.
  8. Guides pupils to solve problems on inverse proportions
  9. Guides pupils to identify some activities that are inversely related.
  10. Guides pupils to solve problems on quantitative reasoning in inverse proportions.

Student’s Activities

  1. Revise the previous work
  2. on ratios
  3. Solve problems on ratios
  4. Apply the application of ratios in everyday life.
  5. Solve quantitative reasoning problem related to ratios.
  6. Solve examples on direct proportion.
  7. Note that the saving is in direct proportion to the number of days.
  8. Solve quantitative aptitude problems involving direct proportion
  9. Solve given problems in inverse proportion.
  10. Identify some daily life activities that are inversely related.
  11. Solve problems on quantitative reasoning in inverse proportion.

Teaching & Learning Material

  1. Source for related charts Flash charts Inverse proportion charts
  2. Inverse population charts

Evaluation Guide

  1. Solve given problems on ratios;
  2. Solve some quantitative reasoning problem on ratios;
  3. Solve given problems on direct proportions;
  4. Solve problem on quantitative aptitude involving direct proportion;
  5. Solve given problems in inverse proportions;
  6. solve given problems in quantitative reasoning in inverse proportions

Week 5

Topic: Ratio of family size and resources

Performance objectives

  1. Find ratio of family size and resources
  2. Correctly use ratio in relating proportion of resources to family size.

Contents

  1. Ratio of family size and resource

Teacher’s Activities       

  1. Guides pupils to solve problems on ratio of family size and resource e.g.
    1.  Tunde‟s family size is 12 and he earns ₦36,000 monthly. Find the ratio of his family size to his salary ratio is 12:36000 or 1:3000 ₦3000
  2. Guides pupils to correctly use ratio in relating proportion of resources to family size.

Student’s Activities

  1. Solve given problems by finding the ratio of family size to salary and state how much each member will get.
  2. Correctly use ratio in relating proportion of resources to family size.

Teaching & Learning Material

  1. A poster depicting two miles one smaller and happy and the other larger and unhappy art with population figures

Evaluation Guide

  1. Calculate the ratio of given family size to their earning;
  2. Give four examples of everyday activities that demand correct application of ratio.

Week 6

Topic: Ratio of two populations

Performance objectives

  1. Pupils should be able to express two populations in given ratio.

Contents

  1. Expressing two populations in ratio form

Teacher’s Activities        

  1. Guides pupils to express two populations in a ratio e.g.
    1. Two families
    1.  Two towns
    1.  Two countries.

Student’s Activities

  1. Find the ratio of two given populations.

Teaching & Learning Material

  1. Charts with population figures

Evaluation Guide

  1. Pupils to find the ratio of given populations.

Week 7

Topic: Ratio of prevalence of HIV/AIDS between two sexes, two states

Performance objectives

  1. Pupils should be able to express two populations in given ratio.

Contents

1.            Expressing two populations in ratio form

Teacher’s Activities        

  1. Guides pupils to express two populations in a ratio e.g.
  2. . Two families
  3. . Two towns
  4. . Two countries.

Student’s Activities

  1. Find the ratio of two given populations.

Teaching & Learning Material

  1. Charts with population figures

Evaluation Guide

  1. Pupils to find the ratio of given populations.

Week 8

Topic: Percentages

Performance objectives

  1. Pupils should be able to express two populations in given ratio

Contents

  1. Expressing two populations in ratio form

Teacher’s Activities

  1. Guides pupils to express two populations in a ratio e.g.
  2. . Two families
  3. . Two towns
  4. . Two countries.

Student’s Activities

  1. Find the ratio of two given populations.

Teaching & Learning Material

  1. Charts with population figures

Evaluation Guide

Pupils to find the ratio of given populations.

Basic 6 NERDC General Mathematics Curriculum for Primary 6. LCM and HCF, Order of operations, calculate average speed- Schemeofwork

THEME 2:  BASIC OPERATIONS

Week 1

Topic:    Addition and Subtraction

Performance objectives

  1. Add any set of numbers;
  2. Solve problems on subtraction of whole numbers;
  3. Solve word problems involving addition and subtraction of whole numbers.

Contents

  1. Addition of whole numbers. Subtraction of numbers.
  2. Addition and subtraction (word problems)

Teacher’s Activities        

  1. Guides pupils to solve involving of addition of whole numbers.
  2. Guides pupils to solve problems on subtraction of whole numbers.
  3. Guides pupils to solve word problem in addition and subtraction

Student’s Activities

  1. Solve problems involving addition of whole numbers.
  2. Solve problems on subtraction of whole numbers.
  3. Solve word problems involving addition and subtraction.

Teaching & Learning Material

  1. Flash cards of numbers

Evaluation Guide

  1. Solve given problems on addition of whole numbers;
  2. Solve given problems on subtraction of whole numbers;
  3. Solve given word problems involving addition and subtraction.

Week 1

Topic: Indices (power)

Performance objectives

  1. Write numbers in index form;
  2. Solve problems involving powers (indices )
  3. Solve problem on quantitative reasoning involving indices.

Contents

Numbers in index form (power not exceeding 5).

ii. Indices

Teacher’s Activities        

  1. Introduce powers by using the idea of square e.g.
    1. 2 x 2 = 22 , 3 x 3 = 32
  2. Guides the pupils to express numbers in index form e.g. express 48 in index form
    1. 48 = 2 x 2 x 2 x 2 x3 = 24 x 3
  3. Guides pupils to multiply numbers using the index form e.g. 20 x 63 = (22 x 5) x (32 x 7)
  4. Guides pupils to solve problems on quantitative reasoning in index form.

Student’s Activities

  1. Solve problems in index form.
  2. Express numbers in index form
  3. Multiply numbers using index form.
  4. Solve problems on quantitative aptitude related to indices

Teaching & Learning Material

  1. Flash cards of numbers

Evaluation Guide

  1. Write given squares in index form;
  2. Express given numbers in index form;
  3. Multiply given numbers using index form;
  4. Solve problem on quantitative reasoning related to indices.

Week 2

Topic: Multiplication

Performance objectives

  1. Multiply a 3-digit number by a 3-digit number.
  2. Apply multiplication to the daily life activities
  3. Solve problems on quantitative aptitude on multiplication.
  4. Multiply decimal by decimal (to one decimal place).
  5. Multiply fractions by fraction
  6. Calculate square of numbers up to 500.
  7. Calculate the square roots of perfect squares.

Contents

  1. Multiplication by 3-digit numbers
  2. Multiplication of decimal by decimal
  3. Multiplication of fractions by fraction
  4. Squares of numbers up to 500
  5. Square roots of perfect square 4,9,25,100,900

Teacher’s Activities        

  1. Drills pupils on multiplication.
  2. Guides pupils to solve multiplication problems on 3 by 3- digits numbers e.g.
    • 572 x 321
    • 572
    • 1144
    • 1716
    • 183612
  3. Solves problems on quantitative aptitude on multiplication.
  4. Guides pupils to solve problems on the multiplication of decimals by a decimal.
  5. Guides pupils to solve problems on multiplication of fractions by fraction e.g.
    • 3 x 8 = 3 x 8 = 2
    • 4 9 4 x 9 3
    • 1 1 x 2 1 = 4 x 9 = 3.
    • 3 4 3 4
  6. Guides pupils to solve problems on square of numbers e.g.
    • Square of 5 is 52 = 5 x 5 = 25
    • Square of 15 = 15 =15 x 15
  7. Guides pupils to solve problems on square roots using factorization method.

Student’s Activities

  1. Solve problems on multiplication on 3 of 3 -digits numbers.
  2. Apply multiplication to daily life activities.
  3. Solve problems on quantitative aptitude on multiplication.
  4. Solve problems on the multiplication of decimals by a decimal.
  5. Solve problems in multiplication of fraction by fractions.
  6. Solve problems on square of numbers.
  7. Solving problems on square roots using factorization method

Teaching & Learning Material

  1. Sum cards containing multiplication facts and charts of solved problems Charts of decimal numbers Charts of fractions
  2. Perfect square chart

Evaluation Guide

  1. Solve given problems involving multiplication by3- digit number;
  2. Solve problems on quantitative aptitude involving multiplication
  3. Multiply given decimals by decimal;
  4. Solve exercise on multiplication of fractions by fraction;
  5. Calculate squares of given numbers up to 500;
  6. Find the square roots of given perfect squares.

Week 3

Topic: Division               

Performance objectives

  1. Divide whole number and decimal by 2-diit and 3- digit numbers.

Contents

  1. Division of whole numbers and decimal by 2-digit and 3-digit numbers.

Teacher’s Activities        

  1. Guides the pupils to divide whole number by 2-digit numbers.
  2. Guides pupils to solve problems on division of whole numbers and decimal by 2-digit and 3-digit numbers
  3. Guides pupils to solve quantitative problems on division of whole numbers and decimals by 2-digit and 3-digit numbers.

Student’s Activities

  1. Solve problems on division of whole numbers and decimals by 2-digit and 3-diit numbers.
  2. Solve quantitative problems on whole numbers and decimals by 2-digit and 3-digit numbers.

Teaching & Learning Material

  1. Flash cards and charts.

Evaluation Guide

  1. Solve given problems on divisions by 2-digit and 3-digit number
  2. Solve problem on quantitative aptitude involving division.

Week 4

Topic: Order of operations

Performance objectives

  1. Use basics operations in the right order.
  2. Solve quantitative aptitude problems involving BODMAS

Contents

  1. Order of operations (BODMAS)
  2. Quantitative reasoning

Teacher’s Activities        

  1. Explain BODMAS as showing the order of operation i.e.
    • B (bracket) is done first, O (of) is done next to bracket, ,D (Division) follows M (multiplication) is next to division,  A (Addition) is next to multiplication S (Subtraction) is taken last.
  2. Guides pupils to solve problems using BODMAS
  3. Guides the pupils to solve problems in quantitative aptitude involving BODMAS.

Student’s Activities

  1. Note and write the meaning of BODMAS.
  2. Solve problems using order of OPERATIONS.

Teaching & Learning Material

  1. Flip charts of operations involving BODMAS

Evaluation Guide

  1. Solve problem using BODMAS
  2. Solve quantitative aptitude exercise involving BODMAS.

Week 5

Topic: Ratio and percentage

Performance objectives

  1. Solve problems on ratios;
  2. Express a number as a percentage of another number;
  3. Solve problems on profit and loss percent;
  4. Apply the profit and loss percent to business;
  5. Solve problem on quantitative aptitude on ratio, percentage, profit and loss.

Contents

  1. Ratio and percentage
  2. Expressing a number as a percentage of another number
  3. Profit and loss percent

Teacher’s Activities        

  1. Guides pupils to solve problem on ratio, e.g. the ratio of boys to girls in a class is 3:2. If there are 35 pupils in the class, how many are boys?
    • Total ratio = 3 + 2 = 5
    • No. of boys = 2/5 x 35 = 21.
  2. There are 21 boys in the class.
  3. Guides pupils to express a number as a percentage of another e.g. what percentage of 10 is 5.= 5/10 x 100/1 = 50%
  4. Guides pupils to calculate the profit and loss percent in a given problem.
  5. Guides pupils to solve quantitative aptitude problems on ratio, percentage, profit and loss.

Student’s Activities

  1. Calculate ratios of given numbers.
  2. Express given numbers as percentages of others.
  3. Calculate profit and loss percent of given problems.
  4. Solve quantitative aptitude problems on ratio, percentage, profit and loss.

Teaching & Learning Material

  1. Charts containing ratios and percentages
  2. Charts containing numbers Profit and loss charts

Evaluation Guide

  1. Calculate ratios of given numbers;
  2. Express a number as a percentage of another;
  3. Calculate profit and loss percent of given problems;
  4. Solve quantitative aptitude problems on ratio percentage profit and loss.

Basic 6 NERDC General Mathematics Curriculum for Primary 6. LCM and HCF, Order of operations, calculate average speed- Schemeofwork

SUBJECT:   GENERAL MATHEMATICS            CLASS LEVEL: PRIMARY 6

THEME 4:  ALGEBRAIC PROCESSES

Week 1

Topic:    Open sentences

Performance objectives

  1. Solve problems expressed as open sentence.
  2. Interpret words in open sentences and solve them.
  3. Solve related problems on quantitative aptitude.

Contents

  1. Open sentences
  2. Interpret word problems into open sentences and solve them.

Teacher’s Activities        

  1. Guides pupils to interpret and solve word problems e.g. if 60 oranges are divided equally in 3 baskets how many are in one basket?
  2. Guides pupils to solve quantitative aptitude related problems involving three or more arithmetic operations in a sample

Student’s Activities

  1. Interpret word problems into open sentences and solve them.
  2. Solve quantitative aptitude problems involving three or more arithmetic operations in a sample.

Teaching & Learning Material

  1. Open sentence chart

Evaluation Guide

  1. Interpret word problems into open sentences and solve them;
  2. Pupils to solve quantitative aptitude problems involving at least three arithmetic operations in a sample.

SUBJECT:   GENERAL MATHEMATICS            CLASS LEVEL: PRIMARY 6

THEME 5:  MEASUREMENT

Week 1

Topic:    Money (a) Population and Economics consequences

Performance objectives

  1. Solve problems on taxes and rates;
  2. Solve problem involving buying and selling of share and dividends;
  3. Solve problem on quantitative aptitude based on taxes and rate as well as selling of share and dividends.

Contents

  1. Taxes, rates, rents, buying and selling of shares and dividends.

Teacher’s Activities        

  1. Guides pupils to give reasons for some levies.
  2. Guides pupils in the transaction of buying and selling of shares.
  3. Guides pupils to calculate taxes, rates, and shares dividends.
  4. Guides pupils to solve problem on quantitative aptitude based on taxes and rates as well as selling of shares and dividends.

Student’s Activities

  1. List items on which taxes and rates could be taken.
  2. Calculates taxes, rates and shares dividends.
  3. Solve problems on quantitative aptitude based on taxes and rates as well as selling and share and dividends

Teaching & Learning Material

  1. Chart on market pricing index

Evaluation Guide

  1. List various forms of taxes;
  2. Calculate taxes, rates and shares dividends;
  3. Solve quantitative aptitude problems.

Week 2 (b)

Topic: Conversion of currencies

Performance objectives

  1. Use a calculator to convert from one currency to another;
  2. Solve problems on quantitative aptitude based on converting from one currency to another.

Contents        

  1. Use of calculator in conversion of currency.

Teacher’s Activities        

  1. Guides pupils to use calculator for the conversion of one currency to another.
  2. Guides pupils to solve problem on quantitative aptitude based on converting from one currency to another

Student’s Activities

  1. Use calculator to convert currencies.
  2. Solve problems on quantitative aptitude bases on converting from one currency to another.

Teaching & Learning Material

  1. Calculator

Evaluation Guide

  1. Use calculator to convert currencies;
  2. Solve quantitative aptitude problems.

Week 3

Topic: Length

Performance objectives

  1. Use Pythagoras rule to find the unknown length of a right angled triangle.
  2. Solve many quantitative aptitude problems involving Pythagoras rule

Contents

  1. Pythagoras rule

Teacher’s Activities        

  • Guides pupils to draw a right-angled triangle with sides 3cm, 4cm and 5cm. i.e.
  • Guides pupils to identify the hypotenuse, opposite and the adjacent sides of the right
  • Guides the pupils to use Pythagoras rule to calculate the unknown side i.e.

a² + b² = c² – where a and b are the adjacent and opposite sides of the triangle and c the hypotenuse side

Student’s Activities

  1. Draw the right angle triangle.    
  2. Use Pythagoras theory  triangle using the a² + b² = c² to calculate the unknown side
  3. Solve quantitative aptitude problems on Pythagoras rule.
  4. Guides pupils to solve quantitative aptitude problems involving Pythagoras rule.

Teaching & Learning Material

  1. Chart on Pythagoras theorem

Evaluation Guide

Find unknown length of a given right angled triangle using the Pythagoras formula;

Solve given quantitative aptitude problems on Pythagoras rule.

Week 4

Topic: Weight

Performance objectives

  1. Express the same weight in different unit gram, kilogram, tone;
  2. Solve word problems on weights.

Contents

  1. Word problem on weights

Teacher’s Activities        

  1. Guides pupils to obtain measures of their weight or other objects using weighing scales.
  2. Guides pupils to express the weights in different units
  3. Guides pupils to solve word problems on weight.

Student’s Activities

  1. Convert weights to different units.
  2. Solve word problems on weights.

Teaching & Learning Material

  1. Samples of different objects, weighing scales and spring balance.

Evaluation Guide

  1. Convert weights expressed in tones to kilogram and vice versa;
  2. Solve word problem involving weights.

Week 5

Topic:   Time        

Performance objectives

  1. Tell time in seconds and minutes;
  2. Solve quantitative aptitude problem on time;
  3. Read timetable of journeys especially by trains and aero planes;
  4. Use time to plan daily activities

Contents

  1. Timing in minutes and seconds
  2. Reading time table of journey

Teacher’s Activities        

  1. Guides pupils to perform practical activities to determine Time on task e.g. walking, eating, etc.
  2. Guides pupils to solve Quantitative aptitude problem on time.
  3. Guides pupils to use these time table to estimate the time it takes a train or an airplane to get to a specific destination.
  4. Guides pupils to prepare timetable their daily or weekly activities.

Student’s Activities

  1. Measure time on task  in seconds and minutes
  2. Solve quantitative aptitude problems involving timing.                  
  3. Use time table to estimate the time it will take a train and  airplane to get to a designated destination
  4. Use timetable to plan for a day or a week.

Teaching & Learning Material

  1. Second pendulum, stopwatch and clock.
  2. School Time-table or calendar, list schedule of flight.

Evaluation Guide

  1. Measure time on task;
  2. Solve quantitative aptitude problems involving timing;
  3. Plan for a week or two weeks;
  4. Obtain time table of train and estimate the time it will take the train to get to specific destination.

Week 6

Topic: perimeter

Performance objectives

  1. Pupils should be able to discover that difference rectangle with same area have different perimeters

Contents

  1. Perimeter of a rectangle

Teacher’s Activities        

  1. Guides pupils to draw two rectangles of dimensions 20cm by 10cm and 25cm by 8cm.
  2. Guides pupils to prove that they have equal area but different perimeters

Student’s Activities

  1. Find the perimeters of the two rectangles.
  2. Compare their results

Teaching & Learning Material

  1. Cardboard showing rectangle of equal areas but different perimeters.

Evaluation Guide

  1. Calculate perimeters of rectangles with equal areas but with different lengths and breadths

Week 7

Topic: Area

Performance objectives

  1. Calculate the areas of figure which can be divided into rectangles and or triangles
  2. Calculate land areas in hectares.

Contents

  1. Areas of trapezium and other figures.
  2. Land areas

Teacher’s Activities

  1. Guides pupils to draw and break the trapezium into two parts (rectangle and triangle)
  2. The area of the trapezium is (Area of Rectangle) + (Area of Triangle) i.e. (L x H) + (hxb/2).
  3. Guides pupils to calculate land areas expressing the units in hectares.

Student’s Activities

  1. Calculate the area of the given trapezium.
  2. Find areas in m2 and convert to hectares.

Teaching & Learning Material

  1. Nail board, rubber bands, and cut out shape form cardboards
  2. Land plan

Evaluation Guide

  1. Find the areas of figures which can be divided into rectangles and triangles;
  2. Calculate the areas of the given shapes or figures.
  3. Calculate given areas in square meters and convert to hectares.

Week 8

Topic: Volume

Performance objectives

  1. Calculate volume of prisms, cylinders and spheres;
  2. Solve some quantitative aptitude problem on volume of prism, cylinder and sphere.

Contents

  1. Volume of prism, cylinders and sphere

Teacher’s Activities

  1. Guides pupils to calculate volumes of prism, cylinders and spheres.
  2. Guides pupils to solve some quantitative aptitude problem on volume of prism cylinder and spheres

Student’s Activities

  1. Calculate volumes of prism, cylinders and spheres.
  2. Solve quantitative aptitude problems on volume

Teaching & Learning Material

  1. Balls, cylindrical tins, triangular and prisms

Evaluation Guide

  1. Pupils to calculate volumes of given triangular prism, cylinders and spheres.

Week 9

Topic: Capacity

Performance objectives

  1. To use standard units;
  2. Solve word problems involving liters.

Contents

  1. Word problem on liters

Teacher’s Activities        

  1. Guides pupils to work in groups to compare the capacities of the containers given to them e.g. different sizes of graduated containers.                  
  2. Guides pupils solve word problems on capacity e.g.
    • A drum contains 1500 liters of petrol. How long will it last if a driver takes 50 liters a day?

Student’s Activities

  1. Calculate capacities of given container
  2. Solve word problems on capacity.

Teaching & Learning Material

  1. Standard bottles or container of Ragolis or Swan water, buckets of different sizes.

Evaluation Guide

  1. Find the capacities of common containers in their respective home. Record the results and bring them to the class for discussion;
  2. Solve word problems on capacities.

Week 10

Topic: Speed

Performance objectives

  1. Pupils should be able to calculate average speed;
  2. Solve quantitative aptitude problems on time and speed.

Contents

  1. Average speed

Teacher’s Activities        

  1. Guides pupils to calculate average speed as distance covered/ time
  2. Guides pupils to solve quantitative aptitude problems related to time and speed.

Student’s Activities

  1. Calculate average speed using distance covered/ time
  2. Solve quantitative aptitude problems related to time and speed.

Teaching & Learning Material

  1. Clock face, stop watch, railway time-table, bus time- table, air time-table

Evaluation Guide

  1. Calculate speed when time and distance are given.

Week 11

Topic: Athletics time

Performance objectives

  1. Pupils should be able to estimate time to complete races.

Contents

  1. Standard time for races

Teacher’s Activities        

  1. Guides the pupils to give record times for 100m, 400m, 800m by men and women from different competitions for different years.

Student’s Activities

  1. Estimate time taken for different races

Teaching & Learning Material

  1. Time of race completion charts

Evaluation Guide

  1. Pupils to estimate time a boy or girl will take to run 100m.

SUBJECT:   GENERAL MATHEMATICS            CLASS LEVEL: PRIMARY 6

THEME 6:  MENSURATION AND GEOMETRY

Week 1

Topic:    Plane Figures   

Performance objectives

  1. Pupils should be able to identify the basic properties of plane figures such as: rectangle and a square

Contents

  1. Basic properties of plane figures.

Teacher’s Activities        

  1. Guides pupils to identify properties of plane figures such as square and rectangular shapes.
  2. Guides pupils to identify properties such as equal sides, parallel sides, right angles, line of symmetry, diagonals of square and rectangle.

Student’s Activities

  1. Identity properties of plane figures such as square and rectangular shapes.

Teaching & Learning Material

  1. Rectangular and square shapes, meter rule/tape, and protractors

Evaluation Guide

  1. Pupils to state the properties of a square and a rectangle.

Week 2

Topic: Angles       

Performance objectives

  1. Measure angles in degrees;       
  2. Measure angles in a plane.

Contents

  1. Measurement of angles

Teacher’s Activities        

  1. Guides pupils in the correct placement of protractors to measure a given angle in degree
  2. Guides pupils to indicate the edges, vetches and faces of given three dimensional shapes.
  3. Guides pupils to measure the size of angle, indicate lines that are parallel and perpendicular in each of the given shape.

Student’s Activities

  1. Use protractor and ruler to measure correctly the given angle.
  2. Identify the number of edges vertices and faces for different shapes.
  3. Use protractors to determine the sizes of angles in a given shape.
  4. Identify lines that are parallel and perpendicular in three dimensional shapes.

Teaching & Learning Material

  1. Mathematical set, chalkboard and protractor
  2. Protractors, net of polygons, adhesive tapes, graph sheets.

Evaluation Guide

  1. Measure given angles from diagram in their text books, work books etc.
  2. Draw various plane shapes and measure resulting angles to the nearest degree;
  3. Identify the edges, vertices and faces of given three dimensional shapes;
  4. Measure the sizes of angle in a two dimensional shapes.

Week 3

Topic:  Height and distances

Performance objectives

  1. Pupils should be able to measure heights of human beings building, trees and distance

Contents

  1. Measurement of height and distances

Teacher’s Activities        

  1. Guides pupils to obtain readings of their heights in meter using the wall meter rule.
  2. Guides pupils to read measurements of distance and heights using click wheel.

Student’s Activities

  1. Measure their heights (without shoes) using the wall meter rule.            
  2. Use meter rule to obtain measures of the dimensions of the classroom, flower lawns etc.
  3. Use tapes to measure longer distances.

Teaching & Learning Material

  1. Meter rule, wall meter rule, click wheel, steel measuring tapes

Evaluation Guide

  1. Pupils to measure and obtain the dimensions of classroom, house, play grounds, halls etc as project * Note that the units for these measurements are in meters and kilometers

Week 4

Topic: Polygons

Performance objectives

  1. Solve more problems on two dimensional and three dimensional shapes.

Contents

  1. Two dimensional figures not exceeding octagon and three dimensional shapes

Teacher’s Activities        

  1. Guides the pupils to recall the names and features of given shapes
  2. Guides pupils to identify line of symmetry, number of sides, number of angles, etc.

Student’s Activities

  1. Identify a given plane shapes in terms of its name and essential features e.g. square, rectangle, triangle rhombus, parallelograms etc.
  2. Using paper cutouts to determine the number of lines of symmetry, number of angles and number of sides.

Teaching & Learning Material

  1. Charts of two and three dimensional figures.

Evaluation Guide

  1. Pupils to Complete a chart to indicate
    • Number of lines of symmetry
    • Number of sides
    • Number of angles contained in given shape.

Week 5

Topic: Scale drawing

Performance objectives

  1. Draw plans according to a given scale;
  2. Apply and use scale drawing in converting lengths and distances of objects in his /her environment to any scale.

Contents

  1. Scale drawing

Teacher’s Activities        

  1. Guides pupils in converting given lengths and distances to their corresponding scale values.
  2. Takes out pupils to measure the dimensions of farms, garden, playground etc and reduce it to a given scale.

Student’s Activities

  1. Convert given lengths and distance using a defined scale
  2. Draw the floor plan of their classroom, school farms, and gardens and play grounds using a given scale.
  3. Determine actual values/dimensions of figures drawn to scale.

Teaching & Learning Material

  1. Different scale, rule, tapes, protractors

Evaluation Guide

  1. Convert given lengths and distances to a given scale;
  2. Draw to scale school farms, play grounds etc with their dimension given;
  3. Convert scale plans to their real dimensions.

SUBJECT:   GENERAL MATHEMATICS            CLASS LEVEL: PRIMARY 6

THEME 7:  EVERYDAY STATISTICS

Week 1

Topic:    Population

Performance objectives

  1. Interpret pictograms and bar graphs.
  2. Use pictogram and bar graphs in representing population of people or data.

Contents

  1. Pictograms and bar graphs

Teacher’s Activities        

  1. Guides pupils to present data such as:
    • men – 20,000
    • women – 30,000
    • boys – 40,000
    • Girls – 36,000 on a bar graph.

Student’s Activities

  1. Present the population data of men, women, boys and girls in the bar graph.
  2. Represent a given population data on a bar graph or pictogram.

Teaching & Learning Material

  1. Population data chart.

Evaluation Guide

Pupils to Prepare a given population data on pictogram or bar graph.

Week 2

Topic: Measures of Central Tendency

Performance objectives

  1. Find the mode of data;
  2. Calculate the mean of given data.

Contents

  1. Mode
  2. Mean

Teacher’s Activities        

  1. Guides pupils to collect and summarize data and indicate the mode.
  2. Guides pupils to organize a given data and calculates the mean.

Student’s Activities

  1. Organize a given data and indicate the mode.
  2. Organize a given data and calculate the mean.

Teaching & Learning Material

  1. Data chart Set of data

Evaluation Guide

  1. Organize a given data and find the mode
  2. Organize a given data and calculate the mean.

READ ALSO

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Mathematics Curriculum for Primary School 1 – 6

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Mathematics Scheme of Work
Mathematics Scheme of Work SSS 1 Lagos State
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information and technology curriculum
Information Technology Scheme of Work SSS 3 Lagos State
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Mathematics Curriculum
Mathematics Scheme of Work SSS 3 Lagos State
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Further Mathematics Curriculum
Further Mathematics Scheme of Work SSS 3 Lagos State
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Nursery Scheme of Work Federal

Nursery Curriculum schemeofwork.com
Nursery Scheme of Work Federal (Ages 4 – 5 Years)
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Nursery 1 Scheme of Work Federal (Age 4)
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Pre school curriculum schemofwork
Pre-Primary Scheme of Work Federal
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Nursery 2 Scheme of Work Federal (Age 5)
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