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

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

Numbers

Integers - Subtraction of integers
Integers - Combined operations

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
MENTOR Mathematics Learner's Book pg. 7-8
-Number cards

-Observation -Oral questions -Written tests

Numbers

Integers - Real life applications

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

-Apply operations of integers in real life situations
-Appreciate the use of integers in daily life

-Discuss real-life applications of integers such as temperature, altitude, profit and loss.
-Use IT or other resources to learn more on operations of integers on number lines.

How do we apply integers in real life situations?

MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet

-Observation -Oral questions -Written tests

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

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

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

Numbers

Fractions - Digital applications
Fractions - Applications in various contexts

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
-Reference materials
-Picture charts

-Observation -Oral questions -Practical activities

Numbers

Decimals - Converting fractions to decimals

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

-Convert fractions to decimals in different situations
-Show interest in the relationship between fractions and decimals

-Practice converting fractions to decimals by division method.
-Practice converting fractions to decimals using equivalent fractions.

How do we convert fractions to decimals?

MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts

-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 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
MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables

-Observation -Oral questions -Written tests

Numbers

Decimals - Rounding off decimals

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

-Round off a decimal number to a required number of decimal places
-Appreciate the importance of rounding decimals in daily life

-Discuss and round off decimal numbers to a required number of decimal places.
-Apply rounding rules to decimal numbers.

Why do we need to round off decimal numbers?

MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Significant figures
Decimals - Standard form

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
MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards

-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
-Show interest in solving decimal problems

-Work out combined operations on decimals in the correct order.
-Apply rules of order of operations to decimal calculations.

How do we work out operations on decimals?

MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator

-Observation -Oral questions -Written assignments

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

Numbers

Squares - Squares of numbers from tables
Squares - Squares of numbers greater than 10

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
MENTOR Mathematics Learner's Book pg. 47-48
-Calculator

-Observation -Oral questions -Written tests

Numbers

Squares - Squares of numbers less than 1

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

-Work out squares of numbers less than 1 using tables
-Develop confidence in working with decimal squares

-Express numbers less than 1 in standard form and use table of squares.
-Practice finding squares of decimal numbers.

Where do we apply squares in real life situations?

MENTOR Mathematics Learner's Book pg. 48-49
-Square tables
-Calculator

-Observation -Oral questions -Written tests

Numbers

Squares - Using calculator for squares
Square Roots - Square roots from tables

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
MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables

-Observation -Oral questions -Practical assessment

Numbers

Square Roots - Square roots of numbers greater than 10

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

-Work out square roots of numbers greater than 10 using tables
-Show curiosity in exploring number patterns

-Use square root tables to find square roots of numbers greater than 10.
-Apply standard form to find square roots of large numbers.

How do we find square roots of large numbers?

MENTOR Mathematics Learner's Book pg. 52-53
-Square root tables
-Calculator

-Observation -Oral questions -Written tests

Numbers

Square Roots - Square roots of numbers less than 1
Rates - Identifying rates

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
MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch

-Observation -Oral questions -Written assignments

Numbers

Rates - Working out rates

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

-Observation -Oral questions -Written assignments

Numbers

Ratio - Expressing fractions as ratios

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

-Express fractions as ratios
-Appreciate the relationship between fractions and ratios

-Use cut outs from whole objects or substances to relate fractions to ratios.
-Convert between fractions and ratios.

How do we use ratios in daily activities?

MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards

-Observation -Oral questions -Written tests

Numbers

Ratio - Comparing ratios
Ratio - Dividing quantities in given 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
MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters

-Observation -Oral questions -Written assignments

Numbers

Ratio - Increase and decrease using ratios

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

-Work out increase and decrease of quantities using ratios
-Appreciate changes in quantities expressed as ratios

-Practice increasing quantities in given ratios.
-Practice decreasing quantities in given ratios.

How do we use ratios to increase or decrease quantities?

MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Percentages - Percentage increase
Percentages - Percentage decrease

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
MENTOR Mathematics Learner's Book pg. 65

-Observation -Oral questions -Written tests

Numbers

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

-Observation -Oral questions -Written tests

Numbers

Direct proportion - Working out direct proportion
Indirect proportion

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

-Work out direct proportions in real life situations
-Show interest in applying direct proportion to solve problems

-Solve problems involving direct proportion.
-Apply the concept of direct proportion to real-life scenarios.

How do we calculate quantities in direct proportion?

MENTOR Mathematics Learner's Book pg. 66-67
-Tables
-Price lists
MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion - Working out indirect proportion

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

-Observation -Oral questions -Written assignments

Numbers

Ratios and proportions - Digital applications
Ratios and proportions - Real life applications

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

-Use IT devices to explore ratios and proportions
-Show interest in technology for mathematical learning

-Use IT devices or other materials to explore percentage change.
-Watch videos on ratios and proportions as used in daily activities.

How can we use technology to learn about ratios and proportions?

MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos
-Reference materials
-Picture charts

-Observation -Oral questions -Digital activities

Algebra

Algebraic Expressions - Factorizing algebraic expressions (1)

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Factorize algebraic expressions by grouping terms in pairs
-Appreciate the different methods of factorizing expressions

-Group the terms in pairs to identify common factors
-Factorize each pair by identifying the common factor
-Identify the common factor from the factorized pairs to factorize the whole expression

How do we factorize algebraic expressions by grouping?

MENTOR Mathematics Learner's Book pg. 69-70
-Number cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (1)
Algebraic Expressions - Simplifying algebraic fractions (2)

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
MENTOR Mathematics Learner's Book pg. 73-74
-Number cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (2)
Linear Equations - Forming linear equations in two unknowns

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

-Evaluate algebraic expressions with multiple variables
-Apply substitution to real-life problems
-Appreciate the use of algebraic expressions in real life

-Practice substituting multiple values in algebraic expressions
-Solve problems involving area, perimeter and volume using substitution
-Apply algebraic expressions to real-life situations

How do we use algebraic expressions in real life situations?

MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards
-Digital resources
MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Substitution method introduction

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

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by substitution
Linear Equations - Elimination method introduction

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

-Solve linear equations in two unknowns using substitution method
-Apply the substitution method to solve problems
-Show curiosity in solving equations by substitution

-Discuss and use substitution method to find the solutions of simultaneous equations in two unknowns
-Solve real-life problems using the substitution method
-Practice solving various simultaneous equations using substitution

What situations require the use of simultaneous equations?

MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 84
-Linear equation cards

-Observation -Oral questions -Written assignments

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

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

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

Measurements

Circles - Length of an arc

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc (continued)
Circles - Perimeter of a sector

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

-Calculate the length of an arc for different angles
-Value the use of arc length in problem solving

-Draw and cut out a circle of radius 4 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the length of the arc of the quarter circle
-Apply the formula for arc length based on the angle subtended at the center

How do we determine the length of an arc for different angles?

MENTOR Mathematics Learner's Book pg. 92-93
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 94-95

-Observation -Oral questions -Written tests

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

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

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

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

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

Measurements

Area - Surface area of cylinders

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cylinders (continued)
Area - Surface area of triangular prisms

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

-Calculate the surface area of cylinders in real life situations
-Value the use of surface area in practical contexts

-Apply the formula for surface area of a cylinder in real-life problems
-Calculate the surface area of cylindrical objects
-Solve problems involving packaging and wrapping of cylindrical objects

How do we apply the concept of surface area of cylinders in real life?

MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools
MENTOR Mathematics Learner's Book pg. 114-115
-Triangular prism
-Ruler
-Pair of scissors

-Observation -Oral questions -Written tests

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

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

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

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

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

Measurements

Money - Calculating hire purchase price
Money - Calculating deposits and installments

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
MENTOR Mathematics Learner's Book pg. 135-137
-Digital devices

-Observation -Oral questions -Written assignments

Measurements

Money - Online financial tools

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

-Use IT and other resources to carry out operations related to money
-Appreciate the role of technology in financial calculations

-Use IT to access online shopping platforms and identify terms of sale
-Explore online calculators for interest, depreciation, and hire purchase
-Compare different financial options using digital tools
-Discuss the role of technology in financial management

How does technology help in financial calculations?

MENTOR Mathematics Learner's Book pg. 138
-Digital devices
-Internet access
-Online calculators

-Observation -Oral questions -Digital activities

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

Geometry

4.1 Geometrical Constructions - Constructing parallel and perpendicular lines (2)

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

-Construct parallel lines using a ruler and pair of compasses
-Appreciate the importance of accurate construction of geometric shapes

-Practice constructing parallel lines using a ruler and pair of compasses
-Share drawings with other learners in class

How do we construct polygons?

-MENTOR mathematics Learner's Book Grade 8 pg. 132
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 133
-Set square

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing perpendicular lines (2)

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

-Construct a perpendicular bisector to a given line
-Show interest in geometric constructions

-Practice constructing perpendicular bisectors using a ruler and pair of compasses
-Share drawings with other learners in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 135
-Pair of compasses
-Ruler

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing perpendicular lines (2)

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

-Construct a perpendicular line through a point on a given line
-Show interest in geometric constructions

-Practice constructing perpendicular lines through a point on a given line using a ruler and pair of compasses
-Share drawings with other learners in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 136
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 137

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Dividing a line proportionally (1)

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

-Divide a line proportionally
-Appreciate the importance of accurate construction of geometric shapes

-Practice dividing lines proportionally using a ruler, set square and pair of compasses
-Share drawings with other learners in class

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 139
-Pair of compasses
-Ruler
-Set square

-Observation -Written assignments