Numbers

Integers - Identifying integers in different situations
Integers - Representing integers on a number line

By the end of the lesson, the learner should be able to:
-Identify integers in different situations
-Use integers correctly in daily life
-Show interest in learning about integers

-Identify integers by carrying out activities involving positive and negative numbers and zero
-Make steps forward (positive) and backward (negative) from a reference point
-Mark a reference point on level ground and make five steps from the reference point in both directions

How small are atoms and are they divisible?

-KLB Grade 8 Mathematics pg. 1
-Number line charts
-Digital resources
-Number lines

-Observation -Oral questions -Written assignments

Numbers

Integers - Addition of integers on a number line

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

-Add integers using a number line
-Solve problems involving addition of integers
-Show interest in using number line for addition of integers

-Perform addition operations of integers on a number line
-Starting at a point on a number line, move steps in the appropriate direction
-Practice addition of integers using number line

How do we carry out operations of integers?

-KLB Grade 8 Mathematics pg. 3
-Number lines
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Integers - Subtraction of integers on a number line

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

-Subtract integers using a number line
-Solve problems involving subtraction of integers
-Show interest in using a number line for subtraction of integers

-Perform subtraction operations of integers on a number line
-When subtracting a positive integer, move to the left on the number line
-Solve real-life problems involving subtraction of integers

How can we use a number line to subtract integers?

-KLB Grade 8 Mathematics pg. 4
-Number lines
-Charts showing number lines

-Observation -Oral questions -Written tests

Numbers

Integers - Combined operations of integers on a number line
Integers - Games involving a number line

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

-Perform combined operations of integers on a number line
-Solve real-life problems involving combined operations of integers
-Value the importance of combined operations

-Perform combined operations of integers on a number line
-Starting at a point, move steps in appropriate directions for each operation
-Solve problems involving combined operations

How do we carry out combined operations of integers?

-KLB Grade 8 Mathematics pg. 6
-Number lines
-Digital resources
-KLB Grade 8 Mathematics pg. 7
-Number cards
-Internet access

-Observation -Oral questions -Written assignments

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

-Carry out combined operations involving division and multiplication of fractions
-Apply combined operations in solving problems
-Appreciate the importance of combined operations

-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

-Discuss and use the correct order of operations in fractions
-Work out division, then multiplication in combined operations
-Solve real-life problems involving fractions

How do we use fractions in real life situations?
How do we carry out combined operations on fractions?

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

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

-Observation -Oral questions -Written assignments
-Observation -Oral questions -Written tests

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

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

-Observation -Oral questions -Digital activities

Numbers

Fractions - Consolidation and assessment

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

-Solve various problems involving fractions
-Apply fractions in real-life situations
-Appreciate the importance of fractions

-Review combined operations on fractions
-Solve a variety of problems involving fractions
-Apply fractions in real-life contexts

How do we use fractions in real life situations?

-KLB Grade 8 Mathematics pg. 14
-Fraction models
-Assessment tools

-Written tests -Problem-solving tasks -Self-assessment

Numbers

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

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

-Convert recurring decimals to fractions
-Apply algebraic methods in conversion
-Value the relationship between fractions and decimals

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

-Practice converting recurring decimals to fractions
-Use algebraic methods to convert recurring decimals to fractions
-Solve problems involving recurring decimals

How do we work out operations on decimals?
How do we convert recurring decimals to fractions?

-KLB Grade 8 Mathematics pg. 14
-Decimal charts
-Digital resources
-KLB Grade 8 Mathematics pg. 17

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

-Observation -Oral questions -Written assignments

Numbers

Decimals - Rounding off decimal numbers

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

-Observation -Oral questions -Written tests

Numbers

Decimals - Expressing numbers to significant figures
Decimals - Expressing numbers in standard form

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

-Express numbers to a required significant figure
-Apply significant figures in real-life situations
-Appreciate the importance of significant figures

-Write decimal and whole numbers to given significant figures
-Identify significant digits in given numbers
-Apply rules for determining significant figures

How do we express numbers to significant figures?

-KLB Grade 8 Mathematics pg. 21
-Number charts
-Digital resources
-KLB Grade 8 Mathematics pg. 23

-Observation -Oral questions -Written assignments

Numbers

Decimals - Combined operations on decimals

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

-Carry out combined operations on decimals
-Apply the correct order of operations
-Value the importance of accurate calculations

-Work out combined operations on decimals in the correct order
-Apply BODMAS rule in decimal operations
-Solve real-life problems involving decimal operations

How do we use decimals in real life situations?

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

-Observation -Oral questions -Written assignments

Numbers

Decimals - Applications of decimals in real life
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:

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

-Work out squares of numbers greater than ten
-Use standard form in finding squares
-Appreciate the relationship between standard form and squares

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

-Use standard form to find squares of large numbers
-Find squares of numbers between zero and one
-Apply squares in solving real-life problems

How do we use decimals in real life situations?
How do we find squares of large numbers?

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

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

-Observation -Oral questions -Problem-solving tasks
-Observation -Oral questions -Written tests

Numbers

Squares and Square Roots - Working out square roots from tables

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

-Observation -Oral questions -Written assignments

Numbers

Squares and Square Roots - Square roots of numbers greater than 100
Squares and Square Roots - Using a calculator for squares

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

-Work out square roots of numbers greater than 100
-Use standard form in finding square roots
-Value the relationship between standard form and square roots

-Use standard form to find square roots of large numbers
-Find square roots of numbers between zero and one
-Apply square roots in solving real-life problems

How do we find square roots of large numbers?

-KLB Grade 8 Mathematics pg. 33
-Table of square roots
-Digital resources
-KLB Grade 8 Mathematics pg. 35
-Calculators

-Observation -Oral questions -Written tests

Numbers

Squares and Square Roots - Using a calculator for square roots

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

-Work out square roots of numbers using a calculator
-Apply calculator skills effectively
-Appreciate technology in mathematical calculations

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

How do we use calculators to find square roots?

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

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Identifying rates
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:

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

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

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

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

How do we use rates in real life situations?
How do we calculate rates?

-KLB Grade 8 Mathematics pg. 36
-Mobile phones (if available)
-Rate charts
-KLB Grade 8 Mathematics pg. 37
-Rate charts
-Digital resources
-KLB Grade 8 Mathematics pg. 39
-Fraction models

-Observation -Oral questions -Written assignments
-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Comparing two 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

-Observation -Oral questions -Written tests

Numbers

Rates, Ratios, Proportion and Percentages - Comparing three ratios

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

-Compare three ratios in different situations
-Arrange ratios in order of magnitude
-Show interest in comparing multiple ratios

-Write ratios as fractions with common denominators
-Compare numerators to arrange ratios
-Solve problems involving multiple ratios

How do we compare multiple ratios?

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

-Observation -Oral questions -Written assignments

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

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

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

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

How do we use ratios to increase quantities?
How do we use ratios to decrease quantities?

-KLB Grade 8 Mathematics pg. 50
-Ratio charts
-Digital resources
-KLB Grade 8 Mathematics pg. 51
-Ratio charts
-Digital resources
-KLB Grade 8 Mathematics pg. 52
-Percentage charts

-Observation -Oral questions -Written tests
-Observation -Oral questions -Written assignments

Numbers

Rates, Ratios, Proportion and Percentages - Direct proportion

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

-Observation -Oral questions -Written assignments

Numbers

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

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

-Work out direct proportions in real life situations
-Apply direct proportion in problem-solving
-Value the importance of direct proportion

-Complete tables of directly proportional quantities
-Calculate unknown values using direct proportion
-Solve real-life problems involving direct proportion

How do we calculate using direct proportion?

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

-Observation -Oral questions -Written tests

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
Algebraic Expressions - Factorization using the HCF

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

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

-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

-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. 56
-Algebra tiles
-Digital resources

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

-Observation -Oral questions -Written assignments
-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Addition and subtraction of algebraic fractions
Algebraic Expressions - Simplification of algebraic fractions by factorization

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

-Add algebraic fractions
-Subtract algebraic fractions
-Show interest in working with algebraic fractions

-Discuss and use the correct methods to add algebraic fractions
-Find the LCM of denominators in algebraic fractions
-Practice addition and subtraction of algebraic fractions

How do we simplify algebraic expressions?

-KLB Grade 8 Mathematics pg. 58
-Algebra charts
-Digital resources
-KLB Grade 8 Mathematics pg. 59

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions

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

-Evaluate algebraic expressions by substituting values
-Apply substitution to solve problems
-Show interest in evaluating expressions

-Discuss how to substitute given numerical values in expressions
-Practice evaluating expressions with given values
-Apply substitution to real-life situations

How do we evaluate algebraic expressions?

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Applications of algebraic expressions

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

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Forming linear equations in two unknowns
Linear Equations - Forming related linear equations
Linear Equations - Solving linear equations by substitution method

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

-Form linear equations in two unknowns
-Translate word problems into equations
-Show interest in linear equations

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

-Role play activities such as shopping on two different items to form linear equations
-Represent price of items using letters
-Form equations from real-life situations

-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. 62
-Shop setup materials
-Digital resources
-KLB Grade 8 Mathematics pg. 64

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

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - More on substitution method

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

-Apply substitution method to various equations
-Solve complex simultaneous equations
-Appreciate the substitution method

-Solve different types of linear equations using substitution
-Apply substitution method to practical problems
-Compare solutions with other methods

How do we apply substitution method to different equations?

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

-Observation -Oral questions -Written tests

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

Linear Equations - Applying linear equations in real-life situations

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

-Observation -Oral questions -Problem-solving tasks