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
Fractions - Operations in real life situations

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
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
Decimals - Identifying recurring 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
MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimals

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

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

-Practice converting recurring decimals to fractions.
-Discuss methods of converting recurring decimals to fractions.

How do we convert recurring decimals to fractions?

MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
-Calculator
MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards

-Observation -Oral questions -Written assignments

Numbers

Decimals - Significant figures
Decimals - Standard form
Decimals - Combined operations on decimals

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

-Observation -Oral questions -Written assignments

Numbers

Decimals - Real life applications
Squares - Squares of numbers from tables

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
MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers greater than 10
Squares - Squares of numbers less than 1

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

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

-Use standard form and table of squares to find squares of numbers greater than 10.
-Practice finding squares of large numbers.

How do we find squares of large numbers?

MENTOR Mathematics Learner's Book pg. 47-48
-Square tables
-Calculator
MENTOR Mathematics Learner's Book pg. 48-49

-Observation -Oral questions -Written assignments

Numbers

Squares - Using calculator for squares
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 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
MENTOR Mathematics Learner's Book pg. 52-53

-Observation -Oral questions -Practical assessment

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
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
Percentages - Percentage increase
Percentages - Percentage decrease

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
MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources
MENTOR Mathematics Learner's Book pg. 65

-Observation -Oral questions -Written assignments

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
Linear Equations - Real life applications

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

-Observation -Oral questions -Written tests

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
Circles - Length of an arc (continued)

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

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

-Draw and cut out a circle of radius 3.5 cm
-Work out the circumference of the circular cut out
-Fold the circular cut out to form two equal parts and cut along the fold line
-Work out the length of the arc of the semicircle
-Relate the angle subtended by the arc to the circumference

How do we find the length of an arc of a circle?

MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 92-93

-Observation -Oral questions -Written assignments

Measurements

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

-Draw and cut out a circle of radius 5 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the perimeter of the quarter circle
-Define a sector as a region bound by two radii and an arc
-Calculate the perimeter as the sum of the arc length and the two radii

How do we use sectors of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 94-95
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors

-Observation -Oral questions -Written assignments

Measurements

Area - Area of a circle
Area - Area of a circle in real life
Area - Area of a sector

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
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
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
Money - Interest and principal
Money - Simple interest

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
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 tests -Practical activities

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
Money - Hire purchase

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
MENTOR Mathematics Learner's Book pg. 130-131
-Posters showing hire purchase terms

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating hire purchase price
Money - Calculating deposits and installments
Money - Online financial tools

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

-Observation -Oral questions -Written assignments

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)
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
MENTOR mathematics Learner's Book Grade 8 pg. 171

-Observation -Written assignments

Geometry

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

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

-Generate a table of values for a linear equation
-Show interest in plotting coordinates

-Discuss and make an appropriate table of values for a given linear equation
-Generate values for linear equations

Where do we use linear graphs in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 174
-Graph paper
MENTOR mathematics Learner's Book Grade 8 pg. 178

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - Linear graphs (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

-Make an appropriate table of values for a given linear equation and draw the linear graphs
-Use IT graphing tools to create linear graphs

Where do we use linear graphs in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 180
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 183

-Observation -Written assignments

Geometry

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

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

-Solve simultaneous linear equations graphically
-Appreciate the use of graphs in real life

-Generate the values in a table of the simultaneous linear equations and draw the graphs
-Read the point of intersection as solution for the equations

Where do we use linear graphs in real life?

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

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Representing length to a given scale (2)
4.3 Scale Drawing - Converting between actual length and scale length (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
MENTOR mathematics Learner's Book Grade 8 pg. 193

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Converting between actual length and scale length (2)
4.3 Scale Drawing - Linear scales in statement form (2)

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

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

-Practice converting scale length to actual 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. 194
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 195

-Observation -Written assignments

Geometry

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

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

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

-Discuss and write 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. 196
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 198

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Linear scales in ratio form (2)
4.3 Scale Drawing - Converting between statement form and ratio form (1)

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

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

-Discuss and write 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. 199
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 200

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Making scale drawings (1)
4.4 Common Solids - Identifying common solids (3)
4.4 Common Solids - Identifying common solids (3)

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

-Make scale drawings
-Recognize the use of scale drawing in maps

-Make scale drawings on different learning materials using appropriate scale
-Share drawings with other learners in class

Where do we use scale drawing in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 202
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 209
-Various solid objects
MENTOR mathematics Learner's Book Grade 8 pg. 210

-Observation -Written assignments

Geometry

4.4 Common Solids - Identifying common solids (3)
4.4 Common Solids - Sketching nets of 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. 211
-Various solid objects
MENTOR mathematics Learner's Book Grade 8 pg. 212
-Various hollow solids

-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 cylinders
-Enjoy working with geometric shapes

-Discuss, open and sketch the nets of hollow cylinders
-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
v Learner's Book Grade 8 pg. 214

-Observation -Written assignments

Geometry

4.4 Common Solids - Sketching nets of common solids (3)
4.4 Common Solids - Surface area of solids from nets (4)

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

-Sketch nets of cones
-Enjoy working with geometric shapes

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

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 215
-Various hollow solids
MENTOR mathematics Learner's Book Grade 8 pg. 216
-Nets of cubes

-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 cuboids from nets
-Enjoy working with geometric shapes

-Work out the surface area of cuboids 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. 217
-Nets of cuboids
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

-Observation

Geometry
Data Handling and Probability

4.4 Common Solids - Making models of solids (3)
5.1 Data Presentation and Interpretation - Drawing bar graphs (2)

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

-Make models of cylinders, pyramids and cones
-Enjoy working with geometric shapes

-Make models of hollow and compact cylinders, pyramids and cones using locally available materials
-Share models with other learners in class

How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 228
-Stiff paper
-Scissors
-Glue
MENTOR mathematics Learner's Book Grade 8 pg. 229
MENTOR mathematics Learner's Book Grade 8 pg. 233
-Graph paper
-Ruler

-Observation

Data Handling and Probability

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

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
-Use 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. 235
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 236
-Bar graphs

-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. 238
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 240

-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)
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

-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
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)
5.2 Probability - Experimental probability outcomes (1)

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
MENTOR mathematics Learner's Book Grade 8 pg. 260

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Probability outcomes in fractions (1)
5.2 Probability - Probability outcomes in decimals or percentages (2)
5.2 Probability - Probability outcomes in decimals or percentages (2)
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 fractions
-Value the concept of probability in analyzing events

-Roll a die multiple times
-Record the number that appears on the top face of the die
-Determine the experimental probability of getting specific numbers
-Express outcomes as fractions
-Share findings with other learners in class

Why is probability important in real life situations?

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