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SCHEME OF WORK
Mathematics
Grade 8 2025
TERM II
School


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WK LSN STRAND SUB-STRAND LESSON LEARNING OUTCOMES LEARNING EXPERIENCES KEY INQUIRY QUESTIONS LEARNING RESOURCES ASSESSMENT METHODS REFLECTION
2 1
Numbers
Integers - Identifying integers
Integers - Representing integers on a number line
By the end of the lesson, the learner should be able to:

-Identify integers in different situations
-Show interest in learning about integers

-Identify integers by carrying out activities involving positive and negative numbers and zero. For example, climbing up stairs (positive), going down stairs (negative).
-Stand at a point (the zero point) and count the number of steps moved either forward or backward.
Where do we use integers in real life situations?
MENTOR Mathematics Learner's Book pg. 1
-Number lines
-Number cards
MENTOR Mathematics Learner's Book pg. 2-3
-Wood ash
-Observation -Oral questions -Written assignments
2 2
Numbers
Integers - Addition of integers
By the end of the lesson, the learner should be able to:

-Add integers on a number line
-Appreciate the use of number line in addition of integers

-Perform addition operations of integers on a number line.
-Use counters to represent positive and negative integers and perform addition.
How do we add integers on a number line?
MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters
-Number lines
-Observation -Oral questions -Written assignments
2 3
Numbers
Integers - Subtraction of integers
By the end of the lesson, the learner should be able to:

-Carry out subtraction of integers on a number line
-Develop interest in solving problems involving subtraction of integers

-Perform subtraction operations of integers on a number line.
-Play creative games that involve number lines, for example jumping steps.
How do we subtract integers on a number line?
MENTOR Mathematics Learner's Book pg. 5-6
-Number lines
-Games
-Observation -Oral questions -Written tests
2 4
Numbers
Integers - Combined operations
Integers - Real life applications
By the end of the lesson, the learner should be able to:

-Carry out combined operations of integers on a number line
-Appreciate the use of number line in operations of integers

-Perform combined operations of addition and subtraction of integers on a number line.
-Apply the order of operations when solving combined operations.
How do we carry out combined operations of integers?
MENTOR Mathematics Learner's Book pg. 7-8
-Number cards
-Number lines
MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet
-Observation -Oral questions -Written assignments
2 5
Numbers
Fractions - Combined operations (Addition and subtraction)
By the end of the lesson, the learner should be able to:

-Carry out combined operations of addition and subtraction on fractions
-Show interest in learning about operations on fractions

-Discuss and use the correct order of operations in fractions.
-Practice combined operations of addition and subtraction on fractions.
How do we use fractions in real life situations?
MENTOR Mathematics Learner's Book pg. 15
-Fraction cards
-Practice cards
-Observation -Oral questions -Written assignments
3 1
Numbers
Fractions - Combined operations (Multiplication and division)
Fractions - Combined operations
By the end of the lesson, the learner should be able to:

-Carry out combined operations of multiplication and division on fractions
-Appreciate the importance of fractions in daily life

-Discuss the order of operations in multiplication and division of fractions.
-Practice combined operations of multiplication and division on fractions.
How do we carry out combined operations of fractions?
MENTOR Mathematics Learner's Book pg. 17-18
-Fraction cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 19
-Practical cards
-Digital resources
-Observation -Oral questions -Written assignments
3 2
Numbers
Fractions - Operations in real life situations
By the end of the lesson, the learner should be able to:

-Work out operations on fractions in real life situations
-Value the use of fractions in solving real life problems

-Discuss and carry out operations on fractions from activities such as shopping and other real life cases.
-Solve word problems involving operations on fractions.
How do we apply fractions in real life situations?
MENTOR Mathematics Learner's Book pg. 20-22
-Charts
-Fraction boards
-Observation -Oral questions -Written assignments
3 3
Numbers
Fractions - Digital applications
By the end of the lesson, the learner should be able to:

-Use IT devices for learning more on fractions
-Enjoy working with fractions using technology

-Play games of operations on fractions using IT devices or other resources.
-Solve fraction problems using digital tools.
How can we use digital tools to learn about fractions?
MENTOR Mathematics Learner's Book pg. 22
-Digital devices
-Internet resources
-Observation -Oral questions -Practical activities
3 4
Numbers
Fractions - Applications in various contexts
Decimals - Converting fractions to decimals
By the end of the lesson, the learner should be able to:

-Promote use of fractions in real life situations
-Appreciate the relevance of fractions in different fields

-Discuss various applications of fractions in fields like cooking, construction, and finance.
-Create and solve fraction problems related to daily activities.
How are fractions used in different professions?
MENTOR Mathematics Learner's Book pg. 22
-Reference materials
-Picture charts
MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts
-Observation -Oral questions -Projects
3 5
Numbers
Decimals - Identifying recurring decimals
By the end of the lesson, the learner should be able to:

-Identify recurring decimals in different situations
-Appreciate patterns in recurring decimals

-In groups, discuss and classify non-recurring and recurring decimals.
-Indicate the recurring digits in decimal numbers.
How do we identify recurring decimals?
MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards
-Calculator
-Observation -Oral questions -Written tests
4 1
Numbers
Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimals
By the end of the lesson, the learner should be able to:

-Convert recurring decimals into fractions in different situations
-Show curiosity in relating decimals to fractions

-Practice converting recurring decimals to fractions.
-Discuss methods of converting recurring decimals to fractions.
How do we convert recurring decimals to fractions?
MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
-Calculator
MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards
-Observation -Oral questions -Written assignments
4 2
Numbers
Decimals - Significant figures
By the end of the lesson, the learner should be able to:

-Express numbers to a required significant figure
-Value precision in representing numbers

-Write decimal and whole numbers to a given significant figures.
-Apply rules for determining significant figures.
When do we use significant figures?
MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts
-Number cards
-Observation -Oral questions -Written assignments
4 3
Numbers
Decimals - Standard form
Decimals - Combined operations on decimals
By the end of the lesson, the learner should be able to:

-Express numbers in standard form
-Show interest in different representations of numbers

-Write numbers in standard form in learning materials such as cards or charts.
-Convert between standard form and ordinary numbers.
How do we express numbers in standard form?
MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards
-Number cards
MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator
-Observation -Oral questions -Written tests
4 4
Numbers
Decimals - Real life applications
By the end of the lesson, the learner should be able to:

-Apply decimals to real life situations
-Value the use of decimals in solving practical problems

-Discuss and apply decimals to real life cases.
-Solve word problems involving decimals.
How do we use decimals in real life situations?
MENTOR Mathematics Learner's Book pg. 43-44
-Price lists
-Measurement tools
-Observation -Oral questions -Written assignments
4 5
Numbers
Squares - Squares of numbers from tables
By the end of the lesson, the learner should be able to:

-Work out the squares of numbers from tables
-Appreciate the use of tables in mathematical computations

-Read and write the squares of numbers from tables.
-Use table of squares to find squares of numbers between 1 and 10.
What are squares of numbers?
MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs
-Observation -Oral questions -Written tests
5 1
Numbers
Squares - Squares of numbers greater than 10
Squares - Squares of numbers less than 1
By the end of the lesson, the learner should be able to:

-Work out squares of numbers greater than 10 using tables
-Show interest in finding patterns in number squares

-Use standard form and table of squares to find squares of numbers greater than 10.
-Practice finding squares of large numbers.
How do we find squares of large numbers?
MENTOR Mathematics Learner's Book pg. 47-48
-Square tables
-Calculator
MENTOR Mathematics Learner's Book pg. 48-49
-Observation -Oral questions -Written assignments
5 2
Numbers
Squares - Using calculator for squares
By the end of the lesson, the learner should be able to:

-Work out squares of numbers using a calculator
-Appreciate the efficiency of using calculators for computation

-Practice working out squares using a calculator.
-Use calculator to find squares and verify results from tables.
How does a calculator simplify finding squares?
MENTOR Mathematics Learner's Book pg. 49
-Calculator
-Digital devices
-Observation -Oral questions -Practical assessment
5 3
Numbers
Square Roots - Square roots from tables
Square Roots - Square roots of numbers greater than 10
By the end of the lesson, the learner should be able to:

-Work out the square roots of numbers from tables
-Show interest in the relationship between squares and square roots

-Read and write the square roots of numbers from tables.
-Use square root tables to find square roots of numbers between 1 and 10.
What are square roots of numbers?
MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables
-Calculator
MENTOR Mathematics Learner's Book pg. 52-53
-Observation -Oral questions -Written assignments
5 4
Numbers
Square Roots - Square roots of numbers less than 1
By the end of the lesson, the learner should be able to:

-Work out square roots of numbers less than 1 using tables
-Appreciate the relationship between decimals and their square roots

-Express numbers less than 1 in standard form and use square root tables.
-Practice finding square roots of decimal numbers.
Where do we apply square roots in real life situations?
MENTOR Mathematics Learner's Book pg. 53-54
-Square root tables
-Calculator
-Observation -Oral questions -Written assignments
5 5
Numbers
Rates - Identifying rates
By the end of the lesson, the learner should be able to:

-Identify rates in different situations
-Appreciate the concept of rates in daily life

-Discuss the concept of rates and identify examples from daily life.
-Time different activities and calculate rates.
How do we use rates in real life situations?
MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch
-Observation -Oral questions -Written tests
6 1
Numbers
Rates - Working out rates
Ratio - Expressing fractions as ratios
By the end of the lesson, the learner should be able to:

-Work out rates in real life situations
-Show interest in applying rates to solve problems

-Calculate rates for different activities and scenarios.
-Role play activities involving rates.
How do we calculate rates?
MENTOR Mathematics Learner's Book pg. 56-57
-Rate cards
-Price lists
MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards
-Observation -Oral questions -Written assignments
6 2
Numbers
Ratio - Comparing ratios
By the end of the lesson, the learner should be able to:

-Compare two or more ratios
-Show interest in equivalent ratios

-Discuss and compare ratios from the cut outs.
-Identify which ratio is greater or smaller.
How do we compare ratios?
MENTOR Mathematics Learner's Book pg. 59-60
-Ratio cards
-Cut-outs
-Observation -Oral questions -Written assignments
6 3
Numbers
Ratio - Dividing quantities in given ratios
Ratio - Increase and decrease using ratios
By the end of the lesson, the learner should be able to:

-Divide quantities in given ratios
-Value fairness in sharing quantities according to ratios

-Discuss and share quantities of concrete objects in different ratios.
-Practice dividing quantities in given ratios.
How do we divide quantities in given ratios?
MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters
MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards
-Number cards
-Observation -Oral questions -Written tests
6 4
Numbers
Percentages - Percentage increase
By the end of the lesson, the learner should be able to:

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.
How do we calculate percentage increase?
MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources
-Observation -Oral questions -Written tests
6 5
Numbers
Percentages - Percentage decrease
By the end of the lesson, the learner should be able to:

-Work out percentage decrease of given quantities
-Value the use of percentages in expressing changes

-Discuss and determine percentage decrease of different quantities.
-Solve problems involving percentage decrease.
How do we calculate percentage decrease?
MENTOR Mathematics Learner's Book pg. 65
-Charts
-Digital resources
-Observation -Oral questions -Written assignments
7 1
Numbers
Direct proportion
Direct proportion - Working out direct proportion
By the end of the lesson, the learner should be able to:

-Identify direct proportions in real life situations
-Appreciate direct proportional relationships

-Role play shopping activities to show and determine direct relationships.
-Identify examples of direct proportion from daily life.
What is direct proportion?
MENTOR Mathematics Learner's Book pg. 66
-Tables
-Charts
MENTOR Mathematics Learner's Book pg. 66-67
-Price lists
-Observation -Oral questions -Written tests
7 2
Numbers
Indirect proportion
By the end of the lesson, the learner should be able to:

-Identify indirect proportions in real life situations
-Appreciate indirect proportional relationships

-Use hourglass to show and determine indirect relationships.
-Identify examples of indirect proportion from daily life.
What is indirect proportion?
MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts
-Observation -Oral questions -Written tests
7 3
Numbers
Indirect proportion - Working out indirect proportion
Ratios and proportions - Digital applications
By the end of the lesson, the learner should be able to:

-Work out indirect proportions in real life situations
-Value the application of indirect proportion in solving problems

-Solve problems involving indirect proportion.
-Apply the concept of indirect proportion to real-life scenarios.
How do we calculate quantities in indirect proportion?
MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources
MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos
-Observation -Oral questions -Written assignments
7 4
Numbers
Ratios and proportions - Real life applications
By the end of the lesson, the learner should be able to:

-Promote use of ratios and proportions in real life
-Appreciate the relevance of ratios and proportions in various fields

-Discuss applications of ratios and proportions in various fields like cooking, construction, and finance.
-Create and solve problems involving ratios and proportions related to daily activities.
How are ratios and proportions used in different professions?
MENTOR Mathematics Learner's Book pg. 68
-Reference materials
-Picture charts
-Observation -Oral questions -Projects
7 5
Algebra
Algebraic Expressions - Factorizing algebraic expressions (1)
Algebraic Expressions - Factorizing algebraic expressions (2)
By the end of the lesson, the learner should be able to:

-Identify common factors in algebraic expressions
-Factorize algebraic expressions using the greatest common factor
-Show interest in factorizing algebraic expressions

-Discuss and identify the GCD of pairs of numbers
-Identify common factors in algebraic expressions
-Practice factorizing algebraic expressions by taking out the common factor
How do we factorize algebraic expressions?
MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 69-70
-Observation -Oral questions -Written assignments
8 1
Algebra
Algebraic Expressions - Simplifying algebraic fractions (1)
By the end of the lesson, the learner should be able to:

-Find the LCM of denominators in algebraic fractions
-Simplify algebraic fractions with different denominators
-Show interest in simplifying algebraic fractions

-Work out the LCM of denominators in algebraic fractions
-Practice simplifying algebraic fractions by using the LCM of denominators
-Express algebraic fractions as a single fraction
How do we simplify algebraic fractions?
MENTOR Mathematics Learner's Book pg. 71-72
-Practice cards
-Fraction boards
-Observation -Oral questions -Written assignments
8 2
Algebra
Algebraic Expressions - Simplifying algebraic fractions (2)
By the end of the lesson, the learner should be able to:

-Factorize the numerator and denominator in algebraic fractions
-Simplify algebraic fractions in their lowest form
-Show curiosity in working with algebraic fractions

-Factorize the numerators and denominators in algebraic expressions
-Identify common factors in both the numerator and denominator
-Simplify algebraic fractions to their lowest form
How do we simplify algebraic fractions by factorizing?
MENTOR Mathematics Learner's Book pg. 73-74
-Number cards
-Fraction boards
-Observation -Oral questions -Written tests
8 3
Algebra
Algebraic Expressions - Evaluating algebraic expressions by substitution (1)
Algebraic Expressions - Evaluating algebraic expressions by substitution (2)
By the end of the lesson, the learner should be able to:

-Substitute numerical values in algebraic expressions
-Evaluate algebraic expressions with one variable
-Value the use of substitution in solving problems

-Discuss how to substitute given numerical values to work out algebraic expressions
-Practice substituting values in different algebraic expressions
-Evaluate expressions by replacing variables with given values
How do we evaluate algebraic expressions?
MENTOR Mathematics Learner's Book pg. 75-76
-Number cards
-Expression cards
MENTOR Mathematics Learner's Book pg. 77-78
-Digital resources
-Observation -Oral questions -Written assignments
8 4
Algebra
Linear Equations - Forming linear equations in two unknowns
By the end of the lesson, the learner should be able to:

-Form linear equations in two unknowns
-Interpret real-life problems into linear equations
-Show interest in linear equations

-Role-play activities such as shopping on two different items to form linear equations in two unknowns
-Discuss with others and use other activities with two unknowns
-Practice forming linear equations from different real-life situations
How do we form linear equations in two unknowns?
MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses
-Observation -Oral questions -Written assignments
8 5
Algebra
Linear Equations - Substitution method introduction
Linear Equations - Solving linear equations by substitution
By the end of the lesson, the learner should be able to:

-Express variables in terms of other variables in linear equations
-Prepare linear equations for solution by substitution
-Develop interest in solving linear equations

-Discuss and express one variable in terms of the other in linear equations
-Practice making one variable the subject of a formula
-Prepare different linear equations for solution by substitution
How do we solve linear equations in two unknowns by substitution?
MENTOR Mathematics Learner's Book pg. 81
-Number cards
-Linear equation cards
MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards
-Observation -Oral questions -Written tests
9 1
Algebra
Linear Equations - Elimination method introduction
By the end of the lesson, the learner should be able to:

-Set up linear equations for solution by elimination
-Prepare linear equations by multiplying to get equal coefficients
-Value the elimination method in solving equations

-Discuss the concept of the elimination method
-Practice multiplying equations by suitable numbers to get equal coefficients
-Set up different linear equations for solution by elimination
How do we solve linear equations by elimination?
MENTOR Mathematics Learner's Book pg. 84
-Flash cards
-Linear equation cards
-Observation -Oral questions -Written tests
9 2
Algebra
Linear Equations - Solving linear equations by elimination
By the end of the lesson, the learner should be able to:

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

-Discuss and use elimination method to find the solutions of simultaneous equations in two unknowns
-Practice solving various simultaneous equations using elimination
-Solve real-life problems using the elimination method
Where do we use linear equations in real life situations?
MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources
-Observation -Oral questions -Written assignments
9-10

Midterm break

10 2
Algebra
Measurements
Linear Equations - Real life applications
Circles - Circumference of a circle
By the end of the lesson, the learner should be able to:

-Apply linear equations in two unknowns to real life situations
-Choose appropriate methods to solve real-life problems
-Recognize the value of linear equations in daily life

-Practice forming and solving simultaneous equations from real life cases using any method
-Solve problems involving cost, age, distance and other quantities
-Watch videos or use other materials involving linear equations in two unknowns
How do we apply linear equations to solve real-life problems?
MENTOR Mathematics Learner's Book pg. 87
-Digital devices
-Videos
MENTOR Mathematics Learner's Book pg. 88
-Rope
-Wooden pegs
-String
-Metre ruler
-Observation -Oral questions -Written tests -Projects
10 3
Measurements
Circles - Circumference of a circle in real life
By the end of the lesson, the learner should be able to:

-Work out the circumference of a circle in real life situations
-Value the use of circumference in problem solving

-Collect different circular objects from the environment
-Work out the circumference of each object
-Solve real-life problems involving the circumference of a circle
How do we use the circumference of a circle in real life situations?
MENTOR Mathematics Learner's Book pg. 89
-Circular objects
-Ruler
-String
-Observation -Oral questions -Written tests
10 4
Measurements
Circles - Length of an arc
Circles - Length of an arc (continued)
By the end of the lesson, the learner should be able to:

-Work out the length of an arc of a circle
-Show curiosity in relating arc length to the circumference

-Draw and cut out a circle of radius 3.5 cm
-Work out the circumference of the circular cut out
-Fold the circular cut out to form two equal parts and cut along the fold line
-Work out the length of the arc of the semicircle
-Relate the angle subtended by the arc to the circumference
How do we find the length of an arc of a circle?
MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 92-93
-Observation -Oral questions -Written assignments
10 5
Measurements
Circles - Perimeter of a sector
By the end of the lesson, the learner should be able to:

-Calculate the perimeter of a sector of a circle
-Show interest in relating the perimeter of a sector to its parts

-Draw and cut out a circle of radius 5 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the perimeter of the quarter circle
-Define a sector as a region bound by two radii and an arc
-Calculate the perimeter as the sum of the arc length and the two radii
How do we use sectors of a circle in real life situations?
MENTOR Mathematics Learner's Book pg. 94-95
-Plain paper
-Pair of scissors
-Ruler
-Observation -Oral questions -Written assignments
11 1
Measurements
Circles - Perimeter of a sector (continued)
By the end of the lesson, the learner should be able to:

-Solve problems involving the perimeter of a sector
-Appreciate the use of sectors in real life situations

-Solve various problems involving sectors of different angles
-Apply the formula for perimeter of a sector in real-life contexts
-Discuss real-life examples of sectors
How do we apply knowledge of sectors to solve real-life problems?
MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors
-Observation -Oral questions -Written tests
11 2
Measurements
Area - Area of a circle
Area - Area of a circle in real life
By the end of the lesson, the learner should be able to:

-Calculate the area of a circle
-Show interest in finding the area of circles

-Go to the field and use a peg, string, tape measure and wood ash to draw circles of different radii
-Work out the area of each circle using the formula A = πr²
-Compare the areas of circles of different radii
How do we use area in real life situations?
MENTOR Mathematics Learner's Book pg. 99
-Peg
-String
-Tape measure
-Wood ash
MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools
-Observation -Oral questions -Written assignments
11 3
Measurements
Area - Area of a sector
By the end of the lesson, the learner should be able to:

-Calculate the area of a sector of a circle
-Appreciate the relationship between angle and area of a sector

-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts
-Find the area of the shaded part (semicircle)
-Draw another circle and divide it into 4 equal parts
-Find the area of one part (quarter circle)
-Derive the formula for area of a sector
How do we calculate the area of a sector?
MENTOR Mathematics Learner's Book pg. 102-103
-Ruler
-Plain paper
-Pair of compasses
-Observation -Oral questions -Written assignments
11 4
Measurements
Area - Area of a sector (continued)
Area - Surface area of cubes
By the end of the lesson, the learner should be able to:

-Solve problems involving area of sectors
-Show interest in applying sector area in different contexts

-Apply the formula for area of a sector to solve various problems
-Work out areas of sectors with different angles
-Relate the angle subtended by the sector to the area of the whole circle
How do we apply the area of a sector to solve problems?
MENTOR Mathematics Learner's Book pg. 104-105
-Calculator
-Digital resources
-Cut-outs of sectors
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube
-Ruler
-Pair of scissors
-Observation -Oral questions -Written tests
11 5
Measurements
Area - Surface area of cuboids
By the end of the lesson, the learner should be able to:

-Work out the surface area of a cuboid
-Show interest in calculating surface areas of cuboids

-Discuss the properties of a cuboid
-Cut a cuboid along its edges to separate the faces
-Measure the length and width of each face and calculate their areas
-Find the sum of the areas of all six faces
-Derive the formula for surface area of a cuboid
How do we find the surface area of a cuboid?
MENTOR Mathematics Learner's Book pg. 108-109
-Closed cuboid
-Ruler
-Pair of scissors
-Observation -Oral questions -Written tests
12 1
Measurements
Area - Surface area of cylinders
Area - Surface area of cylinders (continued)
By the end of the lesson, the learner should be able to:

-Work out the surface area of a cylinder
-Show curiosity in exploring the surface of a cylinder

-Discuss the properties of a cylinder
-Cut a cylinder to separate the two circular parts and the curved surface
-Observe that the curved surface opens up into a rectangle
-Measure the dimensions of the rectangle and the circles
-Calculate the areas of the circular top, circular bottom and the curved surface
-Find the sum of all the areas
How do we determine the surface area of a cylinder?
MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools
-Observation -Oral questions -Written assignments
12 2
Measurements
Area - Surface area of triangular prisms
By the end of the lesson, the learner should be able to:

-Determine the surface area of a triangular prism
-Show interest in exploring surface areas of prisms

-Examine a triangular prism and identify its faces
-Cut the triangular prism along its edges to separate the faces
-Measure the sides of the faces and calculate their areas
-Find the sum of the areas of all five faces
-Derive the formula for surface area of a triangular prism
How do we find the surface area of a triangular prism?
MENTOR Mathematics Learner's Book pg. 114-115
-Triangular prism
-Ruler
-Pair of scissors
-Observation -Oral questions -Written assignments
12 3
Measurements
Area - Area of irregular shapes
By the end of the lesson, the learner should be able to:

-Work out the area of irregular shapes using square grids
-Appreciate the method of estimating areas of irregular shapes

-Place a leaf on a square grid and trace its outline
-Count the number of unit squares fully enclosed
-Count the number of squares partially enclosed and divide by two
-Add the results to estimate the area of the leaf
-Discuss real-life applications of estimating irregular areas
How do we estimate the area of irregular shapes?
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid
-Leaf
-Ruler
-Observation -Oral questions -Written tests -Practical activities
12 4
Measurements
Money - Interest and principal
Money - Simple interest
By the end of the lesson, the learner should be able to:

-Identify interest and principal in real life situations
-Value the importance of understanding financial terms

-Visit or invite resource persons from financial institutions
-Gather information about deposits (principal) and interest
-Discuss the terms principal and interest
-Analyze examples showing how interest is calculated on deposits
What is interest in money?
MENTOR Mathematics Learner's Book pg. 119-120
-Resource persons
-Financial documents
-Charts
MENTOR Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices
-Observation -Oral questions -Written assignments
12 5
Measurements
Money - Compound interest
By the end of the lesson, the learner should be able to:

-Calculate compound interest per annum step by step
-Show interest in the growth of money through compound interest

-Search for the meaning of compound interest using digital devices or print resources
-Discuss the concept of compound interest as interest on principal plus previously earned interest
-Calculate compound interest step by step for different years
-Compare compound interest with simple interest
How does compound interest differ from simple interest?
MENTOR Mathematics Learner's Book pg. 123-125
-Calculator
-Digital devices
-Charts
-Observation -Oral questions -Written assignments
13 1
Measurements
Money - Appreciation
Money - Depreciation
By the end of the lesson, the learner should be able to:

-Work out appreciation per annum step by step
-Value the concept of appreciation in investments

-Discuss the concept of appreciation as increase in value over time
-Calculate appreciation step by step for assets that increase in value
-Use formula for appreciation based on percentage increase
-Identify assets that typically appreciate in value
How do we calculate appreciation over time?
MENTOR Mathematics Learner's Book pg. 126-127
-Calculator
-Digital devices
-Charts
MENTOR Mathematics Learner's Book pg. 128-129
-Observation -Oral questions -Written tests
13 2
Measurements
Money - Hire purchase
By the end of the lesson, the learner should be able to:

-Explain the concept of hire purchase
-Compare different payment options
-Value informed financial decision making

-Visit a furniture shop or examine a poster showing hire purchase terms
-Discuss the terms of payment offered by the shop
-Compare cash price versus hire purchase price
-Analyze which payment option is more economical
How do we pay for goods on hire purchase?
MENTOR Mathematics Learner's Book pg. 130-131
-Posters showing hire purchase terms
-Digital devices
-Calculator
-Observation -Oral questions -Written tests
13 3
Measurements
Money - Calculating hire purchase price
By the end of the lesson, the learner should be able to:

-Calculate the total hire purchase price
-Work out the difference between cash price and hire purchase price
-Appreciate the importance of comparing payment options

-Calculate hire purchase price as sum of deposit and all installments
-Determine the difference between hire purchase price and cash price
-Solve problems involving hire purchase transactions
-Discuss the advantages and disadvantages of hire purchase
What are the advantages and disadvantages of hire purchase?
MENTOR Mathematics Learner's Book pg. 132-134
-Calculator
-Price lists
-Charts
-Observation -Oral questions -Written assignments
13 4
Measurements
Money - Calculating deposits and installments
Money - Online financial tools
By the end of the lesson, the learner should be able to:

-Calculate the deposit in hire purchase transactions
-Calculate the monthly installments in hire purchase
-Show interest in applying mathematics in financial decisions

-Calculate the deposit when given hire purchase price and monthly installments
-Determine monthly installments when given hire purchase price and deposit
-Solve varied hire purchase problems
-Apply hire purchase concepts to real-life situations
How do we apply mathematics in hire purchase decisions?
MENTOR Mathematics Learner's Book pg. 135-137
-Calculator
-Digital devices
-Price lists
MENTOR Mathematics Learner's Book pg. 138
-Internet access
-Online calculators
-Observation -Oral questions -Written tests
13 5
Measurements
Money - Financial responsibility
By the end of the lesson, the learner should be able to:

-Spend money responsibly on needs and leisure
-Value wise financial decision making

-Discuss the difference between needs and wants
-Create a simple budget allocating money for different purposes
-Analyze case studies of responsible and irresponsible spending
-Debate the importance of saving versus immediate consumption
How can we manage money responsibly?
MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts
-Observation -Oral questions -Projects

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