Numbers

Integers - Identifying integers

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

-Observation -Oral questions -Written assignments

Numbers

Integers - Representing integers on a number line
Integers - Addition of integers

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

-Represent integers on a number line
-Show curiosity in representing integers

-Draw and represent integers on number lines on learning materials.
-Practice representing positive and negative integers on a number line.

How do we represent integers on a number line?

MENTOR Mathematics Learner's Book pg. 2-3
-Number lines
-Wood ash
MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters

-Observation -Oral questions -Written tests

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
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
Fractions - Digital applications

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
MENTOR Mathematics Learner's Book pg. 22
-Digital devices
-Internet resources

-Observation -Oral questions -Written assignments

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

Numbers

Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions
Decimals - Rounding off 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
MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
MENTOR Mathematics Learner's Book pg. 38-39

-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
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
Squares - Using calculator for squares

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
MENTOR Mathematics Learner's Book pg. 49
-Digital devices

-Observation -Oral questions -Written tests

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

Numbers

Square Roots - Square roots of numbers less than 1
Rates - Identifying rates
Rates - Working out 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
MENTOR Mathematics Learner's Book pg. 56-57
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Ratio - Expressing fractions as ratios
Ratio - Comparing 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
MENTOR Mathematics Learner's Book pg. 59-60
-Cut-outs

-Observation -Oral questions -Written tests

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

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
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

Numbers

Indirect proportion
Indirect proportion - Working out 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
MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written tests

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)
Algebraic Expressions - Factorizing algebraic expressions (2)
Algebraic Expressions - Simplifying algebraic fractions (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
MENTOR Mathematics Learner's Book pg. 69-70
MENTOR Mathematics Learner's Book pg. 71-72
-Fraction boards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)
Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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
MENTOR Mathematics Learner's Book pg. 75-76
-Expression cards

-Observation -Oral questions -Written tests

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
Linear Equations - Solving linear equations by elimination

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
MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written tests

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
Circles - Length of an arc

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
MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors

-Observation -Oral questions -Written tests

Measurements

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

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
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
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
Area - Surface area of cuboids

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
MENTOR Mathematics Learner's Book pg. 108-109
-Closed cuboid

-Observation -Oral questions -Written assignments

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

Measurements

Area - Surface area of triangular prisms
Area - Area of irregular shapes

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
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid
-Leaf

-Observation -Oral questions -Written assignments

Measurements

Money - Interest and principal
Money - Simple interest
Money - Compound 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
MENTOR Mathematics Learner's Book pg. 123-125

-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
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
Geometry

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

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

-Observation -Oral questions -Projects

Geometry

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

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

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

-Practice constructing parallel lines using a set square and ruler
-Share drawings with other learners in class

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 133
-Set square
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 135
-Pair of compasses

-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)
4.1 Geometrical Constructions - Angle properties of polygons (1)
4.1 Geometrical Constructions - Constructing regular polygons (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
MENTOR mathematics Learner's Book Grade 8 pg. 140
-Cut-out polygons
MENTOR mathematics Learner's Book Grade 8 pg. 144
-Protractor

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing regular polygons (1)
4.1 Geometrical Constructions - Constructing irregular polygons (1)

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

-Construct a regular hexagon
-Show interest in geometric constructions

-Construct regular hexagons using pair of compasses, rulers, protractors
-Share work with other groups in class

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 146
-Pair of compasses
-Ruler
-Protractor
MENTOR mathematics Learner's Book Grade 8 pg. 149

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing irregular polygons (1)

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

-Construct irregular quadrilaterals
-Appreciate the importance of accuracy in construction

-Construct irregular quadrilaterals - rectangles, rhombuses, parallelograms and trapeziums
-Share drawings with other groups in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 152
-Pair of compasses
-Ruler
-Protractor
-KLB Mathematics Learner's Book Grade 8 pg. 158

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing irregular polygons (1)
4.1 Geometrical Constructions - Constructing circles related to triangles (1)

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

-Construct an irregular hexagon
-Appreciate the importance of accuracy in construction

-Construct irregular hexagons given different measurements
-Share work with other groups in class

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 161
-Pair of compasses
-Ruler
-Protractor
MENTOR mathematics Learner's Book Grade 8 pg. 163

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing circles related to triangles (1)
4.2 Coordinates and Graphs - The Cartesian plane (2)

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

-Construct circles touching the sides of the triangle
-Show interest in geometric constructions

-Practice constructing circles touching sides of given triangles
-Share drawings with other groups in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 164
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 167
-Graph paper

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - The Cartesian plane (2)
4.2 Coordinates and Graphs - Table of values for linear equations (2)

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

-Plot points on the Cartesian plane
-Show interest in learning about coordinates

-Practice plotting points on a Cartesian plane appropriately
-Discuss and read coordinates of points on the Cartesian plane

How do we plot coordinates on a Cartesian plane?

MENTOR mathematics Learner's Book Grade 8 pg. 171
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 174

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - Table of values for linear equations (2)
4.2 Coordinates and Graphs - Linear graphs (2)

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

-Determine an appropriate scale for a linear equation
-Show interest in plotting coordinates

-Discuss, choose and use appropriate scale for given data
-Practice using different scales

Where do we use linear graphs in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 178
-Graph paper
MENTOR mathematics Learner's Book Grade 8 pg. 180
-Ruler

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - Linear graphs (2)
4.2 Coordinates and Graphs - Graphical solution of simultaneous linear equations (2)
4.2 Coordinates and Graphs - Graphical solution of simultaneous linear equations (2)

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

-Draw a linear graph from table of values
-Appreciate the use of graphs in real life

-Draw linear graphs from tables of values on Cartesian plane
-Share work with other learners in class

How do we plot coordinates on a Cartesian plane?

MENTOR mathematics Learner's Book Grade 8 pg. 183
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 185
MENTOR mathematics Learner's Book Grade 8 pg. 186

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Representing length to a given scale (2)

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

-Represent length to a given scale
-Appreciate the use of scale drawing in daily life

-Measure and represent length of different objects from immediate environment in work book
-Share work with other learners in class

How do we determine scales in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 189
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 191

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Converting between actual length and scale length (2)

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

-Convert actual length to scale length
-Enjoy working with measurements

-Practice converting actual length to scale length
-Share work with other learners in class

Where do we use scale drawing in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 193
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 194

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Linear scales in statement form (2)

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

-Interpret linear scales in statement form
-Appreciate the use of scale drawing in daily life

-Read, discuss and interpret given linear scales in statement form
-Share findings with other learners in class

How do we determine scales in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 195
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 196

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Linear scales in ratio form (2)

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

-Interpret linear scales in ratio form
-Appreciate the use of scale drawing in maps

-Read, discuss and interpret given linear scales in ratio form
-Share findings with other learners in class

Where do we use scale drawing in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 198
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 199

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Converting between statement form and ratio form (1)
4.3 Scale Drawing - Making scale drawings (1)

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

-Convert linear scale from statement form to ratio form
-Convert linear scale from ratio form to statement form
-Appreciate the use of scale drawing in maps

-Discuss and carry out conversions of scales from one form to another
-Share findings with other learners in class

How do we determine scales in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 200
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 202

-Observation -Written assignments

Geometry

4.4 Common Solids - Identifying common solids (3)

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

-Identify common solids from the environment
-Appreciate the use of common solids in real life

-Identify and collect common solids such as cubes, cuboids, cylinders, pyramids and cones from the immediate environment
-Share findings with other learners in class

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 209
-Various solid objects
MENTOR mathematics Learner's Book Grade 8 pg. 210
MENTOR mathematics Learner's Book Grade 8 pg. 211

-Observation

Geometry

4.4 Common Solids - Sketching nets of common solids (3)

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

-Sketch nets of cubes and cuboids
-Enjoy working with geometric shapes

-Discuss, open and sketch the nets of hollow cubes and cuboids
-Share sketches with other learners in class

How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 212
-Various hollow solids

-Observation -Written assignments

Geometry

4.4 Common Solids - Sketching nets of common solids (3)

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

-Sketch nets of pyramids
-Enjoy working with geometric shapes

-Discuss, open and sketch the nets of hollow pyramids
-Share sketches with other learners in class

What are common solids?

v Learner's Book Grade 8 pg. 214
-Various hollow solids
MENTOR mathematics Learner's Book Grade 8 pg. 215

-Observation -Written assignments

Geometry

4.4 Common Solids - Surface area of solids from nets (4)

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

-Work out surface area of cubes from nets
-Enjoy working with geometric shapes

-Work out the surface area of cubes from nets
-Share findings with other learners in class

How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 216
-Nets of cubes
MENTOR mathematics Learner's Book Grade 8 pg. 217
-Nets of cuboids

-Observation -Written assignments

Geometry

4.4 Common Solids - Surface area of solids from nets (4)

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

-Work out surface area of cylinders from nets
-Enjoy working with geometric shapes

-Work out the surface area of cylinders from nets
-Share findings with other learners in class

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 219
-Nets of cylinders
MENTOR mathematics Learner's Book Grade 8 pg. 221
-Nets of pyramids

-Observation -Written assignments

Geometry

4.4 Common Solids - Distance between points on a solid (2)

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

-Determine the distance between two points on the surface of a solid
-Show interest in properties of solids

-Discuss and practice measuring the distance between any two points on the surface of the solids
-Share findings with other learners in class

How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 224
-Various solid objects
MENTOR mathematics Learner's Book Grade 8 pg. 225

-Observation -Written assignments

Geometry

4.4 Common Solids - Making models of solids (3)

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

-Make models of cubes
-Enjoy working with geometric shapes

-Make models of hollow and compact cubes using locally available materials
-Share models with other learners in class

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 226
-Stiff paper
-Scissors
-Glue
MENTOR mathematics Learner's Book Grade 8 pg. 227
MENTOR mathematics Learner's Book Grade 8 pg. 228
MENTOR mathematics Learner's Book Grade 8 pg. 229

-Observation