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
Integers - Subtraction 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
MENTOR Mathematics Learner's Book pg. 5-6
-Games

-Observation -Oral questions -Written assignments

Numbers

Integers - Combined operations

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

-Observation -Oral questions -Written assignments

Numbers

Integers - Real life applications
Fractions - Combined operations (Addition and subtraction)

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
MENTOR Mathematics Learner's Book pg. 15
-Fraction cards
-Practice cards

-Observation -Oral questions -Written tests

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
Decimals - Significant figures

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
MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts
-Number cards

-Observation -Oral questions -Written tests

Numbers

Decimals - Standard form

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

-Observation -Oral questions -Written tests

Numbers

Decimals - Combined operations on decimals
Decimals - Real life applications

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
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
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 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
MENTOR Mathematics Learner's Book pg. 53-54

-Observation -Oral questions -Written tests

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

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

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
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

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

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

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
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

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

Algebra

Linear Equations - Solving linear equations by elimination
Linear Equations - Real life applications

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
MENTOR Mathematics Learner's Book pg. 87
-Digital devices
-Videos

-Observation -Oral questions -Written assignments

Measurements

Circles - Circumference of a circle
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
-Show interest in finding the circumference of circular objects

-Fix wooden pegs at each end of a rope
-Fix one peg at a point on the ground and use the other end to draw a circle
-Lay a string round the circle drawn and measure the length of the string used
-Discuss and work out the circumference of a circle using the formula C = πd

How do we determine the circumference of a circle?

MENTOR Mathematics Learner's Book pg. 88
-Rope
-Wooden pegs
-String
-Metre ruler
MENTOR Mathematics Learner's Book pg. 89
-Circular objects
-Ruler

-Observation -Oral questions -Written assignments

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)
Area - Area of a circle

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
MENTOR Mathematics Learner's Book pg. 99
-Peg
-String
-Tape measure
-Wood ash

-Observation -Oral questions -Written tests

Measurements

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 in real life situations
-Value the use of area of a circle in problem solving

-Solve real-life problems involving area of circles
-Calculate areas of circular objects in the environment
-Convert between different units when calculating areas

How do we apply the area of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Area of a sector
Area - Area of a sector (continued)

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
MENTOR Mathematics Learner's Book pg. 104-105
-Calculator
-Digital resources
-Cut-outs of sectors

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cubes

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

-Work out the surface area of a cube
-Appreciate the 3D nature of a cube

-Discuss the properties of a cube
-Cut a cube along its edges to separate the faces
-Measure the sides 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 cube

How do we determine the surface area of a cube?

MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube
-Ruler
-Pair of scissors

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cuboids
Area - Surface area of cylinders

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
MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder

-Observation -Oral questions -Written tests

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
Money - Appreciation

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
MENTOR Mathematics Learner's Book pg. 126-127

-Observation -Oral questions -Written assignments

Measurements

Money - Depreciation

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

-Work out depreciation per annum step by step
-Show interest in the concept of depreciation in assets

-Discuss the concept of depreciation as decrease in value over time
-Calculate depreciation step by step for assets that decrease in value
-Use formula for depreciation based on percentage decrease
-Identify assets that typically depreciate in value

How do we calculate depreciation over time?

MENTOR Mathematics Learner's Book pg. 128-129
-Calculator
-Digital devices
-Charts

-Observation -Oral questions -Written assignments

Measurements

Money - Hire purchase
Money - Calculating hire purchase price

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
MENTOR Mathematics Learner's Book pg. 132-134
-Price lists
-Charts

-Observation -Oral questions -Written tests

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

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

Data Handling and Probability

5.1 Data Presentation and Interpretation - Drawing bar graphs (2)

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

-Draw bar graphs of data
-Appreciate the use of bar graphs in real life situations

-Collect data from their own experiences, e.g., shoe sizes or heights
-Choose a suitable scale to represent the information on a bar graph
-Share work with other learners in class

What are the different ways of representing data?

MENTOR mathematics Learner's Book Grade 8 pg. 233
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 235

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Interpreting bar graphs (1)
5.1 Data Presentation and Interpretation - Drawing line graphs (2)

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

-Interpret bar graphs of data
-Show interest in analyzing data

-Study given bar graphs
-Interpret data from bar graphs by answering questions
-Share findings with other learners in class

What are the different ways of representing data?

MENTOR mathematics Learner's Book Grade 8 pg. 236
-Bar graphs
MENTOR mathematics Learner's Book Grade 8 pg. 238
-Graph paper
-Ruler

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Drawing line graphs (2)

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

-Draw line graphs of given data
-Show interest in representing data using line graphs

-Choose a suitable scale for presenting data
-Make tables of values
-Plot points on the graph
-Join the points to form a line graph
-Share work with other learners in class

What are the different ways of representing data?

MENTOR mathematics Learner's Book Grade 8 pg. 240
-Graph paper
-Ruler

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Interpreting line graphs (1)
5.1 Data Presentation and Interpretation - Mode of discrete data (1)

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

-Interpret line graphs of data
-Appreciate the use of line graphs in real life situations

-Study given line graphs
-Interpret data from line graphs by answering questions
-Share findings with other learners in class

What are the different ways of representing data?

MENTOR mathematics Learner's Book Grade 8 pg. 241
-Line graphs
MENTOR mathematics Learner's Book Grade 8 pg. 243
-Digital devices

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Mean of discrete data (2)

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

-Calculate the mean of a set of discrete data
-Value the use of mean in summarizing data

-Measure heights of group members using a tape measure
-Record findings in a table
-Add the heights of group members
-Divide the total height by the number of learners
-Share work with other learners in class

How do we determine the mean of data?

MENTOR mathematics Learner's Book Grade 8 pg. 246
-Tape measure

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Mean of discrete data (2)
5.1 Data Presentation and Interpretation - Median of discrete data (1)

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

-Calculate the mean of a set of discrete data
-Value the use of mean in summarizing data

-Calculate mean of different sets of data
-Share work with other learners in class

How do we determine the mean of data?

MENTOR mathematics Learner's Book Grade 8 pg. 248
-Calculator
MENTOR mathematics Learner's Book Grade 8 pg. 249
-Number cards
-Digital devices

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Events involving chance (1)
5.2 Probability - Chance experiments (2)

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

-Identify events involving chance in real life situations
-Value the study of probability in daily life

-Discuss events that are likely to happen, unlikely to happen or will not happen
-Discuss other daily events that are likely to happen, unlikely to happen or will not happen
-Search for the meaning of probability using digital devices or relevant print resources
-Share findings with other learners in class

When do we consider chances that an event is likely to happen?

MENTOR mathematics Learner's Book Grade 8 pg. 256
-Digital devices
MENTOR mathematics Learner's Book Grade 8 pg. 258
-Coins

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Chance experiments (2)

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

-Perform chance experiments
-Value the use of probability in decision making

-Roll a die 10 times
-Record the number that appears on the top face of the die
-Put marbles of different colors in a bag and pick randomly
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 259
-Dice
-Marbles of different colors

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Experimental probability outcomes (1)
5.2 Probability - Probability outcomes in fractions (1)

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

-Write the experimental probability outcomes
-Show interest in determining chance

-Roll a die multiple times
-Record the number that appears on the top face of the die
-Determine the number of possible outcomes
-State each possible outcome
-Share results with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 260
-Dice
MENTOR mathematics Learner's Book Grade 8 pg. 262

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Probability outcomes in decimals or percentages (2)

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

-Express the probability outcomes in decimals
-Value the use of probability in daily life

-Toss a coin multiple times
-Record the results in a table
-Calculate the probability of heads and tails
-Express probability as decimals
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 263
-Coins
MENTOR mathematics Learner's Book Grade 8 pg. 264
-Marbles of different colors

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Probability outcomes in decimals or percentages (2)

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