Mathematics Curriculum for Primary 6

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

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.

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