**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**

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

**Contents**

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

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

- List factors of 28 and 30
- Find the HCF of 28 and 30 by factor method.
- Solve quantitative aptitude problem on LCM and HCF

**Teaching & Learning Material**

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

**Evaluation Guide**

- Count in millions up to a specified number;
- Write up to one million;
- Solve given problems on quantitative reasoning;
- Give the place value of each of the digits in a given number.
- Solve problems on quantitative
- Give the value and place value of each digit in a given decimal fractions reasoning
- Solve quantitative aptitude problems on place value
- Find the multiples of given 2- digit numbers
- find the LCM of given 2-digit numbers by
- factor method

- multiples method

- Find the factors of given whole numbers
- Find the HCF of given whole numbers;
- Solve some quantitative aptitude problems involving HCF;
- Solve quantitative aptitude problem on LCM and HCF.

**Week 2**

**Topic: Demography**

**Performance objectives**

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

**Contents**

1 â€¢ Population:

- families
- classes

- towns and cities etc

- Reading and comparing of populations

**Teacher’s Activities **

- Guides pupils to define population.
- Guides pupils to give the populations of:
- Their houses

- classes

- Town etc.

- Guides pupils to read and write populations of some cities e.g. Lagos, Kano, Aba in the country using map of Nigeria.
- Guides pupils to read and compare population of HIV prevalence in different countries of the world
- Guides pupils to use counting in thousands and millions in population studies

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

- Define population;
- Read and write the population of big cities in Nigeria;
- Read and compare population;
- Read and compare population of HIV prevalence in some given countries of the world
- Give population of countries in Africa.

**Week 3**

**Topic: Fractions **

**Performance objectives**

- Order fractions;
- Solve problem on quantitative reasoning;
- Express decimals as fractions and vice versa.

**Contents**

- Ordering of fractions
- Quantitative reasoning
- Decimals

**Teacher’s Activities **

- Guides pupils to order fractions by first bringing the fractions to have the same denominator and consider the denominators e.g. In the fractions, Â½ and 3/5
- Â½ = 1 x 5 = 5

- 2 x 5 10

- 3 = 3 x 2 = 6

- 5 2 x 5 10

- 5<6 then 5/10 < 6/10 Hence Â½ is smaller than 3/5.

- Guides pupils to solve problems on quantitative aptitude e.g. Insert the appropriate symbol < or > in the diagram below
- 1Â½ 5/2

- Guides pupils to express decimals as fractions and vice versa e.g.
- 0.75 = 75 = 3

- 100 4L

- 2Â½ = 2 x 2 +1 = 5

- 2 2

- = 5 x 5 = 25 = 2.5

- 5 x 2 10

**Student’s Activities**

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

**Teaching & Learning Material**

- 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**

- Solve problems on ratio;
- Apply ratio to everyday life;
- Solve quantitative reasoning problem involving ratio;
- Solve problems in direct proportion;
- Solve problems on quantitative reasoning involving direct proportion;
- Solve problems on inverse proportions;
- Identify some daily life activities that are inversely related;
- Solve problems on quantitative reasoning in inverse proportions

**Contents**

- Ratios
- Direct proportion
- Quantitative reasoning
- Inverse proportions

**Teacher’s Activities **

- Guides pupils to revise previous work done on ratios
- 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.
- Total population 100,000

- Infected population = 100

- The ratio of infected to total population is 100:10,000 or 1:100 or 1/100.

- Guides pupils to apply ratio to everyday life
- Guides pupils to solve quantitative problems related to ratios.
- Guides pupils to solve direct proportion problems e.g. a man saves money every day. If he saves â‚¦30 each day, how much can be saved in 4 days? Saving (â‚¦) day
- 30 1

- 60 2

- 90 3

- 120 4

- He saves â‚¦120 in 4 days.

- Guides pupils to note that his saving is in direct proportion to the number of days.
- Guides pupils to solve problems on quantitative reasoning involving direct proportion.
- Guides pupils to solve problems on inverse proportions
- Guides pupils to identify some activities that are inversely related.
- Guides pupils to solve problems on quantitative reasoning in inverse proportions.

**Student’s Activities**

- Revise the previous work
- on ratios
- Solve problems on ratios
- Apply the application of ratios in everyday life.
- Solve quantitative reasoning problem related to ratios.
- Solve examples on direct proportion.
- Note that the saving is in direct proportion to the number of days.
- Solve quantitative aptitude problems involving direct proportion
- Solve given problems in inverse proportion.
- Identify some daily life activities that are inversely related.
- Solve problems on quantitative reasoning in inverse proportion.

**Teaching & Learning Material**

- Source for related charts Flash charts Inverse proportion charts
- Inverse population charts

**Evaluation Guide**

- Solve given problems on ratios;
- Solve some quantitative reasoning problem on ratios;
- Solve given problems on direct proportions;
- Solve problem on quantitative aptitude involving direct proportion;
- Solve given problems in inverse proportions;
- solve given problems in quantitative reasoning in inverse proportions

**Week 5**

**Topic: Ratio of family size and resources**

**Performance objectives**

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

**Contents**

- Ratio of family size and resource

**Teacher’s Activitie****s **

- Guides pupils to solve problems on ratio of family size and resource e.g.
- Tundeâ€Ÿs family size is 12 and he earns â‚¦36,000 monthly. Find the ratio of his family size to his salary ratio is 12:36000 or 1:3000 â‚¦3000

- Guides pupils to correctly use ratio in relating proportion of resources to family size.

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

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

**Week 6**

**Topic: Ratio of two populations**

**Performance objectives**

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

**Contents**

- Expressing two populations in ratio form

**Teacher’s Activities **

- Guides pupils to express two populations in a ratio e.g.
- Two families

- Two towns

- Two countries.

**Student’s Activities**

- Find the ratio of two given populations.

**Teaching & Learning Material**

- Charts with population figures

**Evaluation Guide**

- Pupils to find the ratio of given populations.

**Week 7**

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

**Performance objectives**

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

**Contents**

1. Expressing two populations in ratio form

**Teacher’s Activities **

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

**Student’s Activities**

- Find the ratio of two given populations.

**Teaching & Learning Material**

- Charts with population figures

**Evaluation Guide**

- Pupils to find the ratio of given populations.

**Week 8**

**Topic: Percentages**

**Performance objectives**

- Pupils should be able to express two populations in given ratio

**Contents**

- Expressing two populations in ratio form

**Teacher’s Activities**

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

**Student’s Activities**

- Find the ratio of two given populations.

**Teaching & Learning Material**

- 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**

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

**Contents**

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

**Teacher’s Activities **

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

**Student’s Activities**

- Solve problems involving addition of whole numbers.
- Solve problems on subtraction of whole numbers.
- Solve word problems involving addition and subtraction.

**Teaching & Learning Material**

- Flash cards of numbers

**Evaluation Guide**

- Solve given problems on addition of whole numbers;
- Solve given problems on subtraction of whole numbers;
- Solve given word problems involving addition and subtraction.

**Week 1**

**Topic: Indices (power)**

**Performance objectives**

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

**Contents**

**Numbers in index form (power not exceeding 5).**

**ii. Indices**

**Teacher’s Activities **

- Introduce powers by using the idea of square e.g.
- 2 x 2 = 22 , 3 x 3 = 32

- Guides the pupils to express numbers in index form e.g. express 48 in index form
- 48 = 2 x 2 x 2 x 2 x3 = 24 x 3

- Guides pupils to multiply numbers using the index form e.g. 20 x 63 = (22 x 5) x (32 x 7)
- Guides pupils to solve problems on quantitative reasoning in index form.

**Student’s Activities**

- Solve problems in index form.
- Express numbers in index form
- Multiply numbers using index form.
- Solve problems on quantitative aptitude related to indices

**Teaching & Learning Material**

- Flash cards of numbers

**Evaluation Guide**

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

**Week 2**

**Topic: Multiplication**

**Performance objectives**

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

**Contents**

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

**Teacher’s Activities **

- Drills pupils on multiplication.
- Guides pupils to solve multiplication problems on 3 by 3- digits numbers e.g.
- 572 x 321
- 572
- 1144
- 1716
- 183612

- Solves problems on quantitative aptitude on multiplication.
- Guides pupils to solve problems on the multiplication of decimals by a decimal.
- 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

- 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

- Guides pupils to solve problems on square roots using factorization method.

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

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

**Week 3**

**Topic: Division **

**Performance objectives**

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

**Contents**

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

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Flash cards and charts.

**Evaluation Guide**

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

**Week 4**

**Topic: Order of operations**

**Performance objectives**

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

**Contents**

- Order of operations (BODMAS)
- Quantitative reasoning

**Teacher’s Activities **

- 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.

- Guides pupils to solve problems using BODMAS
- Guides the pupils to solve problems in quantitative aptitude involving BODMAS.

**Student’s Activities**

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

**Teaching & Learning Material**

- Flip charts of operations involving BODMAS

**Evaluation Guide**

- Solve problem using BODMAS
- Solve quantitative aptitude exercise involving BODMAS.

**Week 5**

**Topic: Ratio and percentage**

**Performance objectives**

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

**Contents**

- Ratio and percentage
- Expressing a number as a percentage of another number
- Profit and loss percent

**Teacher’s Activities **

- 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.

- There are 21 boys in the class.
- 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%
- Guides pupils to calculate the profit and loss percent in a given problem.
- Guides pupils to solve quantitative aptitude problems on ratio, percentage, profit and loss.

**Student’s Activities**

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

**Teaching & Learning Material**

- Charts containing ratios and percentages
- Charts containing numbers Profit and loss charts

**Evaluation Guide**

- Calculate ratios of given numbers;
- Express a number as a percentage of another;
- Calculate profit and loss percent of given problems;
- 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**

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

**Contents**

- Open sentences
- Interpret word problems into open sentences and solve them.

**Teacher’s Activities **

- 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?
- Guides pupils to solve quantitative aptitude related problems involving three or more arithmetic operations in a sample

**Student’s Activities**

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

**Teaching & Learning Material**

- Open sentence chart

**Evaluation Guide**

- Interpret word problems into open sentences and solve them;
- 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**

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

**Contents**

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

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Chart on market pricing index

**Evaluation Guide**

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

**Week 2 (b)**

**Topic: Conversion of currencies**

**Performance objectives**

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

**Contents **

- Use of calculator in conversion of currency.

**Teacher’s Activities **

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

**Student’s Activitie****s**

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

**Teaching & Learning Material**

- Calculator

**Evaluation Guide**

- Use calculator to convert currencies;
- Solve quantitative aptitude problems.

**Week 3**

**Topic: Length**

**Performance objectives**

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

**Contents**

- 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.

aÂ² + bÂ² = cÂ² – where a and b are the adjacent and opposite sides of the triangle and c the hypotenuse side

**Student’s Activities**

- Draw the right angle triangle.
- Use Pythagoras theory triangle using the aÂ² + bÂ² = cÂ² to calculate the unknown side
- Solve quantitative aptitude problems on Pythagoras rule.
- Guides pupils to solve quantitative aptitude problems involving Pythagoras rule.

**Teaching & Learning Material**

- 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**

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

**Contents**

- Word problem on weights

**Teacher’s Activities **

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

**Student’s Activities**

- Convert weights to different units.
- Solve word problems on weights.

**Teaching & Learning Material**

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

**Evaluation Guide**

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

**Week 5**

**Topic: Time **

**Performance objectives**

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

**Contents**

- Timing in minutes and seconds
- Reading time table of journey

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

- Measure time on task;
- Solve quantitative aptitude problems involving timing;
- Plan for a week or two weeks;
- 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**

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

**Contents**

- Perimeter of a rectangle

**Teacher’s Activities **

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

**Student’s Activities**

- Find the perimeters of the two rectangles.
- Compare their results

**Teaching & Learning Material**

- Cardboard showing rectangle of equal areas but different perimeters.

**Evaluation Guide**

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

**Week 7**

**Topic: Area**

**Performance objectives**

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

**Contents**

- Areas of trapezium and other figures.
- Land areas

**Teacher’s Activities**

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Nail board, rubber bands, and cut out shape form cardboards
- Land plan

**Evaluation Guide**

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

**Week 8**

**Topic: Volume**

**Performance objectives**

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

**Contents**

- Volume of prism, cylinders and sphere

**Teacher’s Activities**

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Balls, cylindrical tins, triangular and prisms

**Evaluation Guide**

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

**Week 9**

**Topic: Capacity**

**Performance objectives**

- To use standard units;
- Solve word problems involving liters.

**Contents**

- Word problem on liters

**Teacher’s Activities **

- Guides pupils to work in groups to compare the capacities of the containers given to them e.g. different sizes of graduated containers.
- 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**

- Calculate capacities of given container
- Solve word problems on capacity.

**Teaching & Learning Material**

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

**Evaluation Guide**

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

**Week 10**

**Topic: Speed**

**Performance objectives**

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

**Contents**

- Average speed

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

- Calculate speed when time and distance are given.

**Week 11**

**Topic: Athletics time**

**Performance objectives**

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

**Contents**

- Standard time for races

**Teacher’s Activities **

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

**Student’s Activities**

- Estimate time taken for different races

**Teaching & Learning Material**

- Time of race completion charts

**Evaluation Guide**

- 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**

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

**Contents**

- Basic properties of plane figures.

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Rectangular and square shapes, meter rule/tape, and protractors

**Evaluation Guide**

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

**Week 2**

**Topic: Angles **

**Performance objectives**

- Measure angles in degrees;
- Measure angles in a plane.

**Contents**

- Measurement of angles

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

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

**Evaluation Guide**

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

**Week 3**

**Topic: Height and distances**

**Performance objectives**

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

**Contents**

- Measurement of height and distances

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Meter rule, wall meter rule, click wheel, steel measuring tapes

**Evaluation Guide**

- 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**

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

**Contents**

- Two dimensional figures not exceeding octagon and three dimensional shapes

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Charts of two and three dimensional figures.

**Evaluation Guide**

- 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**

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

**Contents**

- Scale drawing

**Teacher’s Activities **

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

**Student’s Activities**

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

**Teaching & Learning Material**

- Different scale, rule, tapes, protractors

**Evaluation Guide**

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

**SUBJECT: GENERAL MATHEMATICS CLASS LEVEL:** **PRIMARY 6**

**THEME 7: EVERYDAY STATISTICS**

**Week 1**

**Topic: Population**

**Performance objectives**

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

**Contents**

- Pictograms and bar graphs

**Teacher’s Activities **

- 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**

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

**Teaching & Learning Material**

- 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**

- Find the mode of data;
- Calculate the mean of given data.

**Contents**

- Mode
- Mean

**Teacher’s Activities **

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

**Student’s Activities**

- Organize a given data and indicate the mode.
- Organize a given data and calculate the mean.

**Teaching & Learning Material**

- Data chart Set of data

**Evaluation Guide**

- Organize a given data and find the mode
- Organize a given data and calculate the mean.

**READ ALSO**

**Mathematics Curriculum for Primary 1**

**Mathematics Curriculum for Primary 2**

**Mathematics Curriculum for Primary 3**

**Mathematics Curriculum for Primary 4**

**Mathematics Curriculum for Primary 5**