Numbers

Fractions - Combined operations involving addition and subtraction
Fractions - Combined operations involving division and multiplication

By the end of the lesson, the learner should be able to:

-Carry out combined operations involving addition and subtraction of fractions
-Apply combined operations in real-life situations
-Show interest in learning about fractions

-Discuss and use the correct order of operations in fractions
-Work out combined operations involving addition and subtraction
-Add fractions then subtract from the sum

How do we use fractions in real life situations?

-KLB Grade 8 Mathematics pg. 8
-Fraction models
-Digital resources
-KLB Grade 8 Mathematics pg. 11

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations involving brackets
Fractions - Operations on fractions in real-life situations

By the end of the lesson, the learner should be able to:

-Carry out combined operations involving brackets
-Apply BODMAS rule in combined operations
-Show interest in learning about combined operations

-Discuss and use the correct order of operations in fractions
-Work out brackets first in combined operations
-Solve real-life problems involving brackets

How do we apply BODMAS rule in combined operations?

-KLB Grade 8 Mathematics pg. 13
-Fraction models
-Digital resources
-KLB Grade 8 Mathematics pg. 14

-Observation -Oral questions -Written assignments

Numbers

Fractions - Using IT devices for learning fractions
Fractions - Consolidation and assessment

By the end of the lesson, the learner should be able to:

-Use IT devices for learning fractions
-Play games involving operations on fractions
-Show interest in using IT for learning

-Play games of operations on fractions using IT devices
-Use digital resources to solve fraction problems
-Use IT for enjoyment while learning fractions

How can we use technology to learn about fractions?

-KLB Grade 8 Mathematics pg. 14
-Digital resources
-Internet access
-Fraction models
-Assessment tools

-Observation -Oral questions -Digital activities

Numbers

Decimals - Conversion of fractions to decimals

By the end of the lesson, the learner should be able to:

-Convert fractions to decimals
-Apply conversion in real-life situations
-Show interest in converting fractions to decimals

-Practice converting fractions to decimals
-Write equivalent fractions with denominator in the form 10ⁿ
-Divide numerator by denominator to obtain decimal form

How do we work out operations on decimals?

-KLB Grade 8 Mathematics pg. 14
-Decimal charts
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions

By the end of the lesson, the learner should be able to:

-Identify recurring decimals
-Represent recurring decimals correctly
-Show interest in learning about recurring decimals

-In groups discuss and classify non-recurring and recurring decimals
-Indicate the recurring digits using appropriate notation
-Convert fractions to decimals and identify recurring patterns

How do we identify recurring decimals?

-KLB Grade 8 Mathematics pg. 17
-Decimal charts
-Digital resources
-KLB Grade 8 Mathematics pg. 19
-Conversion charts

-Observation -Oral questions -Written tests

Numbers

Decimals - Rounding off decimal numbers
Decimals - Expressing numbers to significant figures

By the end of the lesson, the learner should be able to:

-Round off decimal numbers to required decimal places
-Apply rounding in real-life contexts
-Show interest in rounding decimal numbers

-Discuss and round off decimal numbers to a required number of decimal places
-Apply rounding rules correctly
-Solve problems involving rounding of decimals

How do we round off decimal numbers?

-KLB Grade 8 Mathematics pg. 20
-Decimal charts
-Digital resources
-KLB Grade 8 Mathematics pg. 21
-Number charts

-Observation -Oral questions -Written tests

Numbers

Decimals - Expressing numbers in standard form
Decimals - Combined operations on decimals

By the end of the lesson, the learner should be able to:

-Express numbers in standard form
-Apply standard form in scientific notation
-Show interest in learning about standard form

-Write numbers in standard form in learning materials
-Express numbers as a product of a number between 1 and 10, and a power of 10
-Solve problems involving standard form

How do we express numbers in standard form?

-KLB Grade 8 Mathematics pg. 23
-Number charts
-Digital resources
-Decimal charts

-Observation -Oral questions -Written tests

Numbers

Decimals - Applications of decimals in real life

By the end of the lesson, the learner should be able to:

-Apply decimals in real-life situations
-Solve problems involving decimals
-Show interest in using decimals in daily life

-Discuss and apply decimals to real-life cases
-Play games of operations on decimals using IT
-Solve real-world problems involving decimals

How do we use decimals in real life situations?

-KLB Grade 8 Mathematics pg. 25
-Real-life objects
-Digital resources

-Observation -Oral questions -Problem-solving tasks

Numbers

Squares and Square Roots - Working out squares from tables
Squares and Square Roots - Squares of numbers greater than ten

By the end of the lesson, the learner should be able to:

-Work out squares of numbers from tables
-Apply squares in real-life situations
-Show interest in working with squared numbers

-Read and write the squares of numbers from tables
-Use table of squares to find squares of numbers
-Apply squares in solving real-life problems

What are squares and square roots of numbers?

-KLB Grade 8 Mathematics pg. 25
-Table of squares
-Digital resources
-KLB Grade 8 Mathematics pg. 29

-Observation -Oral questions -Written assignments

Numbers

Squares and Square Roots - Working out square roots from tables
Squares and Square Roots - Square roots of numbers greater than 100

By the end of the lesson, the learner should be able to:

-Work out square roots of numbers from tables
-Apply square roots in problem-solving
-Show interest in working with square roots

-Read and write the square roots of numbers from tables
-Use table of square roots to find square roots
-Apply square roots in solving real-life problems

Where do we apply squares and square roots in real life situations?

-KLB Grade 8 Mathematics pg. 31
-Table of square roots
-Digital resources
-KLB Grade 8 Mathematics pg. 33

-Observation -Oral questions -Written assignments

Numbers

Squares and Square Roots - Using a calculator for squares
Squares and Square Roots - Using a calculator for square roots

By the end of the lesson, the learner should be able to:

-Work out squares of numbers using a calculator
-Apply calculator skills effectively
-Show interest in using calculators in mathematics

-Practice working out squares using a calculator
-Compare results from calculator with table values
-Solve real-life problems involving squares

How do we use calculators to find squares?

-KLB Grade 8 Mathematics pg. 35
-Calculators
-Digital resources
-KLB Grade 8 Mathematics pg. 36

-Observation -Oral questions -Calculator activities

Numbers

Rates, Ratios, Proportion and Percentages - Identifying rates

By the end of the lesson, the learner should be able to:

-Identify rates in different situations
-Recognize rates as quotients of different units
-Show interest in learning about rates

-Using a mobile phone, note the amount of airtime available
-Make calls and check the airtime used
-Compare different call rates from service providers

How do we use rates in real life situations?

-KLB Grade 8 Mathematics pg. 36
-Mobile phones (if available)
-Rate charts

-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Working out rates
Rates, Ratios, Proportion and Percentages - Expressing fractions as ratios

By the end of the lesson, the learner should be able to:

-Work out rates in real life situations
-Apply rates in problem-solving
-Value the importance of rates in daily life

-Find cost per unit for various items
-Calculate rates for different quantities
-Solve real-life problems involving rates

How do we calculate rates?

-KLB Grade 8 Mathematics pg. 37
-Rate charts
-Digital resources
-KLB Grade 8 Mathematics pg. 39
-Fraction models

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Comparing two ratios
Rates, Ratios, Proportion and Percentages - Comparing three ratios

By the end of the lesson, the learner should be able to:

-Compare two ratios in different situations
-Determine which ratio is greater
-Appreciate the importance of comparing ratios

-Use strips of paper to compare ratios
-Express ratios as fractions with common denominators
-Compare numerators to determine the greater ratio

How do we compare ratios?

-KLB Grade 8 Mathematics pg. 41
-Paper strips
-Digital resources
-KLB Grade 8 Mathematics pg. 43
-Ratio charts

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Dividing quantities in given ratios
Rates, Ratios, Proportion and Percentages - Working out ratios

By the end of the lesson, the learner should be able to:

-Divide quantities in given ratios
-Apply ratio division in real-life situations
-Value fair division of resources

-Discuss and share quantities of concrete objects in different ratios
-Divide a quantity into parts proportional to the ratio
-Solve real-life problems involving division in a ratio

How do we divide quantities in a given ratio?

-KLB Grade 8 Mathematics pg. 46
-Concrete objects
-Digital resources
-KLB Grade 8 Mathematics pg. 48
-Ratio charts

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Ratio increase

By the end of the lesson, the learner should be able to:

-Work out increase of quantities using ratios
-Apply ratio increase in real-life situations
-Value the importance of ratios in quantity changes

-Increase quantities in given ratios
-Find quantities after ratio increases
-Solve real-life problems involving ratio increases

How do we use ratios to increase quantities?

-KLB Grade 8 Mathematics pg. 50
-Ratio charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Ratio decrease
Rates, Ratios, Proportion and Percentages - Percentage change

By the end of the lesson, the learner should be able to:

-Work out decrease of quantities using ratios
-Apply ratio decrease in real-life situations
-Show interest in ratio applications

-Decrease quantities in given ratios
-Find quantities after ratio decreases
-Solve real-life problems involving ratio decreases

How do we use ratios to decrease quantities?

-KLB Grade 8 Mathematics pg. 51
-Ratio charts
-Digital resources
-KLB Grade 8 Mathematics pg. 52
-Percentage charts

-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Direct proportion
Rates, Ratios, Proportion and Percentages - Working out direct proportions

By the end of the lesson, the learner should be able to:

-Identify direct proportions in real life situations
-Recognize when quantities vary in the same ratio
-Show interest in proportional relationships

-Role play shopping activities to show direct relationships
-Identify when quantities increase or decrease in the same ratio
-Create tables of directly proportional quantities

How do we identify direct proportion?

-KLB Grade 8 Mathematics pg. 53
-Proportion charts
-Digital resources
-KLB Grade 8 Mathematics pg. 54

-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Indirect proportion
Rates, Ratios, Proportion and Percentages - Working out indirect proportions

By the end of the lesson, the learner should be able to:

-Identify indirect proportions in real life situations
-Recognize when products of quantities remain constant
-Show interest in inverse relationships

-Use hourglass to show indirect relationships
-Identify when one quantity increases as another decreases
-Create tables of indirectly proportional quantities

How do we identify indirect proportion?

-KLB Grade 8 Mathematics pg. 54
-Hourglass (if available)
-Digital resources
-KLB Grade 8 Mathematics pg. 55
-Proportion charts

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Factorization of algebraic expressions

By the end of the lesson, the learner should be able to:

-Identify like terms in algebraic expressions
-Find the highest common factor of terms in expressions
-Show interest in learning algebraic expressions

-Discuss and identify like and unlike terms in expressions
-Find the highest common factor of terms in algebraic expressions
-Write algebraic expressions for real-life situations

How do we factorize algebraic expressions?

-KLB Grade 8 Mathematics pg. 56
-Algebra tiles
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Factorization using the HCF
Algebraic Expressions - Addition and subtraction of algebraic fractions

By the end of the lesson, the learner should be able to:

-Factorize algebraic expressions using the HCF
-Express algebraic expressions as a product of factors
-Value the importance of factorization

-Write expressions as a product of the highest common factor and the other factor
-Practice factorizing different algebraic expressions
-Use factorization to solve problems

How do we factorize algebraic expressions?

-KLB Grade 8 Mathematics pg. 57
-Algebra tiles
-Digital resources
-KLB Grade 8 Mathematics pg. 58
-Algebra charts

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplification of algebraic fractions by factorization
Algebraic Expressions - Evaluating algebraic expressions

By the end of the lesson, the learner should be able to:

-Simplify algebraic fractions by factorization
-Use factorization to simplify complex fractions
-Appreciate the use of factorization in simplification

-Write numerator and denominator as products of factors
-Identify and cancel common factors
-Simplify algebraic fractions using factorization

How do we simplify algebraic fractions?

-KLB Grade 8 Mathematics pg. 59
-Algebra charts
-Digital resources
-KLB Grade 8 Mathematics pg. 60

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Applications of algebraic expressions
Linear Equations - Forming linear equations in two unknowns

By the end of the lesson, the learner should be able to:

-Apply algebraic expressions in real-life situations
-Form expressions from word problems
-Value the importance of algebraic expressions

-Form algebraic expressions from real-life situations
-Evaluate expressions for given values
-Use IT to practice algebraic expressions

How do we apply algebraic expressions in real life?

-KLB Grade 8 Mathematics pg. 61
-Digital resources
-Internet access
-KLB Grade 8 Mathematics pg. 62
-Shop setup materials

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Forming related linear equations

By the end of the lesson, the learner should be able to:

-Form related linear equations in two unknowns
-Create simultaneous equations from real-life situations
-Value the use of equations in problem-solving

-Set up a demonstration shop with two different improvised items
-Relate amounts spent to total amounts
-Form simultaneous equations from given scenarios

Where do we use linear equations in two unknowns in real life situations?

-KLB Grade 8 Mathematics pg. 64
-Shop setup materials
-Digital resources

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by substitution method
Linear Equations - More on substitution method

By the end of the lesson, the learner should be able to:

-Solve linear equations using substitution method
-Apply the method to solve simultaneous equations
-Show interest in using substitution method

-Express one unknown in terms of the other
-Substitute the expression in the other equation
-Practice solving equations using substitution method

How do we solve linear equations in two unknowns?

-KLB Grade 8 Mathematics pg. 66
-Equation charts
-Digital resources
-KLB Grade 8 Mathematics pg. 67

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by elimination method
Linear Equations - More on elimination method

By the end of the lesson, the learner should be able to:

-Solve linear equations using elimination method
-Apply the method to solve simultaneous equations
-Show interest in using elimination method

-Multiply equations by suitable numbers to make coefficients equal
-Eliminate one unknown by addition or subtraction
-Practice solving equations using elimination method

How do we solve linear equations by elimination?

-KLB Grade 8 Mathematics pg. 68
-Equation charts
-Digital resources
-KLB Grade 8 Mathematics pg. 70

-Observation -Oral questions -Written assignments

Algebra
Measurements

Linear Equations - Applying linear equations in real-life situations
Circles - Working out the circumference of a circle

By the end of the lesson, the learner should be able to:

-Apply linear equations to real-life situations
-Solve word problems using simultaneous equations
-Recognize use of linear equations in real life

-Practice forming and solving simultaneous equations from real-life cases
-Apply appropriate methods to solve problems
-Watch videos involving linear equations in real life

Where do we use linear equations in real life situations?

-KLB Grade 8 Mathematics pg. 70
-Internet access
-Digital resources
-KLB Grade 8 Mathematics pg. 71
-Circular objects
-Measuring tape or ruler

-Observation -Oral questions -Problem-solving tasks

Measurements

Circles - Working out the circumference of circles in real life

By the end of the lesson, the learner should be able to:

-Apply knowledge of circumference in real-life contexts
-Calculate the circumference of circular objects
-Value the importance of circles in everyday life

-Discuss and find the circumference of different circular objects in the environment
-Measure diameter and calculate circumference
-Solve real-life problems involving circumference

How do we use circles in real life situations?

-KLB Grade 8 Mathematics pg. 73
-Circular objects
-Digital resources

-Observation -Oral questions -Written tests

Measurements

Circles - Working out the length of an arc
Circles - Working out the length of an arc in real life

By the end of the lesson, the learner should be able to:

-Work out the length of an arc of a circle
-Apply the formula for arc length in calculations
-Show interest in arc lengths

-Draw a circle and cut it out
-Fold the cut-out into four equal parts
-Relate the arc length to the circumference
-Calculate arc length using the formula
-Use cut-outs to relate arc length to the circumference

How do we determine the length of an arc of a circle?

-KLB Grade 8 Mathematics pg. 73
-Paper
-Pair of compasses
-KLB Grade 8 Mathematics pg. 74
-Circular objects
-Protractors

-Observation -Oral questions -Written assignments

Measurements

Circles - Calculating the perimeter of a sector
Area - Calculating the area of a circle

By the end of the lesson, the learner should be able to:

-Calculate the perimeter of a sector of a circle
-Apply the formula for sector perimeter
-Show interest in using sectors

-Draw a circle and cut out the circle along its boundary
-Fold the circular cut-out into four equal parts and cut out one part
-Calculate the arc length of the sector
-Add the sum of the two radii to the arc length
-Determine the perimeter of the sector

How do we use sectors of a circle in real life situations?

-KLB Grade 8 Mathematics pg. 75
-Paper
-Pair of compasses
-Scissors
-KLB Grade 8 Mathematics pg. 77
-Graph paper

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the area of a circle in real life
Area - Working out the area of a sector

By the end of the lesson, the learner should be able to:

-Apply knowledge of circular area in real-life contexts
-Calculate areas of circular objects
-Show interest in circular areas

-Discuss and work out areas of different circles
-Measure radius and calculate area
-Solve real-life problems involving circular area

How do we apply knowledge of circular area?

-KLB Grade 8 Mathematics pg. 79
-Circular objects
-Measuring tools
-KLB Grade 8 Mathematics pg. 80
-Paper
-Pair of compasses
-Protractors

-Observation -Oral questions -Written tests

Measurements

Area - Working out the area of a sector in real life

By the end of the lesson, the learner should be able to:

-Apply knowledge of sector area in real-life contexts
-Calculate sector areas in various scenarios
-Show interest in sector applications

-Calculate sector areas for different angles
-Solve real-life problems involving sector areas
-Discuss practical applications of sectors

How do we use sectors in real life?

-KLB Grade 8 Mathematics pg. 81
-Sector models
-Protractors

-Observation -Oral questions -Written tests

Measurements

Area - Working out the surface area of cubes
Area - Working out the surface area of cuboids

By the end of the lesson, the learner should be able to:

-Work out the surface area of cubes
-Apply the formula for cube surface area
-Value the importance of surface area

-Use a model of a cube to identify faces
-Measure edges and calculate face areas
-Find the sum of areas of all faces
-Apply the formula for cube surface area

How do we calculate the surface area of a cube?

-KLB Grade 8 Mathematics pg. 82
-Cube models
-Measuring tools
-KLB Grade 8 Mathematics pg. 84
-Cuboid models

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the surface area of cylinders
Area - Working out the surface area of triangular prisms

By the end of the lesson, the learner should be able to:

-Work out the surface area of cylinders
-Apply the formula for cylinder surface area
-Appreciate cylinders in everyday life

-Make a paper model of a cylinder
-Open the model to identify faces
-Calculate area of circular ends and curved face
-Apply the formula for cylinder surface area

How do we calculate the surface area of a cylinder?

-KLB Grade 8 Mathematics pg. 86
-Cylindrical objects
-Paper
-Scissors
-KLB Grade 8 Mathematics pg. 87
-Triangular prism models
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Working out the area of irregular shapes
Money - Identifying interest and principal

By the end of the lesson, the learner should be able to:

-Work out the area of irregular shapes using square grids
-Estimate areas by counting grid squares
-Value the importance of area estimation

-Trace irregular shaped objects on square grids
-Count complete and partial squares
-Estimate areas by adding complete squares and half of partial squares
-Compare estimated areas with regular shapes

How do we determine the area of irregular shapes?

-KLB Grade 8 Mathematics pg. 88
-Square grid paper
-Irregular objects
-Tracing paper
-KLB Grade 8 Mathematics pg. 89
-Financial brochures
-Digital resources

-Observation -Oral questions -Written tests

Measurements

Money - Calculating simple interest

By the end of the lesson, the learner should be able to:

-Calculate simple interest in real-life situations
-Apply the formula for simple interest
-Value the importance of interest calculations

-Identify principal, rate, and time in scenarios
-Apply the formula I = PRT/100
-Solve problems involving simple interest
-Discuss terms of interest on deposits

What is interest in money?

-KLB Grade 8 Mathematics pg. 91
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Measurements

Money - More on simple interest
Money - Calculating compound interest for one year

By the end of the lesson, the learner should be able to:

-Solve complex problems involving simple interest
-Find unknown values in interest calculations
-Show interest in financial calculations

-Calculate unknown principal, rate, or time given other values
-Apply simple interest formula in reverse
-Solve real-life problems involving simple interest

How do we calculate simple interest for different time periods?

-KLB Grade 8 Mathematics pg. 92
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 93

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating compound interest for two years
Money - Calculating compound interest for three years

By the end of the lesson, the learner should be able to:

-Calculate compound interest for two years
-Apply step-by-step calculation method
-Show interest in long-term investments

-Calculate interest for the first year and new principal
-Calculate interest for the second year
-Find the total compound interest
-Discuss the growth of investments

How do we pay for goods on hire purchase?

-KLB Grade 8 Mathematics pg. 94
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 95

-Observation -Oral questions -Written assignments

Measurements

Money - Working out appreciation
Money - Working out depreciation

By the end of the lesson, the learner should be able to:

-Work out appreciation of value
-Apply appreciation calculations to assets
-Show interest in value appreciation

-Research meaning of appreciation
-List items that appreciate in value
-Calculate value after appreciation
-Discuss items worth investing in

How do we calculate appreciation of value?

-KLB Grade 8 Mathematics pg. 96
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 97

-Observation -Oral questions -Written assignments

Measurements

Money - Working out hire purchase

By the end of the lesson, the learner should be able to:

-Work out hire purchase costs
-Compare cash price and hire purchase price
-Make informed financial decisions

-Visit shops with hire purchase options or use digital resources
-Gather information on deposit, cash price, and installments
-Calculate total hire purchase cost
-Compare with cash price and determine the extra cost

How do we pay for goods on hire purchase?

-KLB Grade 8 Mathematics pg. 98
-Calculator
-Brochures from shops
-Digital resources

-Observation -Oral questions -Written assignments