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)
Fractions - Combined operations (Multiplication and division)

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
MENTOR Mathematics Learner's Book pg. 17-18

-Observation -Oral questions -Written tests

Numbers

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 on fractions
-Show interest in working with fractions

-Discuss the procedure to follow when working out combined operations on fractions.
-Work out fractions involving all operations following the correct order.

How do we solve problems involving all operations on fractions?

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 tests

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
Decimals - Converting recurring decimals to fractions

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
MENTOR Mathematics Learner's Book pg. 37-38

-Observation -Oral questions -Written assignments

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
Decimals - Combined operations on decimals

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

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

-Write numbers in standard form in learning materials such as cards or charts.
-Convert between standard form and ordinary numbers.

How do we express numbers in standard form?

MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards
-Number cards
MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Real life applications
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:

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

-Observation -Oral questions -Written assignments

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
Direct proportion

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
MENTOR Mathematics Learner's Book pg. 66
-Tables

-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
Algebra
Algebra

Ratios and proportions - Real life applications
Algebraic Expressions - Factorizing algebraic expressions (1)
Algebraic Expressions - Factorizing algebraic expressions (2)

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
MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 69-70

-Observation -Oral questions -Projects

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)
Algebraic Expressions - Evaluating algebraic expressions by substitution (2)

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

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

-Discuss how to substitute given numerical values to work out algebraic expressions
-Practice substituting values in different algebraic expressions
-Evaluate expressions by replacing variables with given values

How do we evaluate algebraic expressions?

MENTOR Mathematics Learner's Book pg. 75-76
-Number cards
-Expression cards
MENTOR Mathematics Learner's Book pg. 77-78
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Forming linear equations in two unknowns
Linear Equations - Substitution method introduction
Linear Equations - Solving linear equations by substitution

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

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

-Role-play activities such as shopping on two different items to form linear equations in two unknowns
-Discuss with others and use other activities with two unknowns
-Practice forming linear equations from different real-life situations

How do we form linear equations in two unknowns?

MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses
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 assignments

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
Circles - Length of an arc (continued)

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
MENTOR Mathematics Learner's Book pg. 92-93

-Observation -Oral questions -Written tests

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

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)
Area - Surface area of cubes

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
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube
-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
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)
4.1 Geometrical Constructions - Dividing a line proportionally (1)

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
MENTOR mathematics Learner's Book Grade 8 pg. 139
-Set square

-Observation -Written assignments

Geometry

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:

-Identify angle properties of polygons
-Show interest in geometric constructions

-Discuss angle properties of polygons and relate the number of right angles to the number of sides
-Determine the angles in a given polygon

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 140
-Cut-out polygons
MENTOR mathematics Learner's Book Grade 8 pg. 144
-Pair of compasses
-Ruler
-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
MENTOR mathematics Learner's Book Grade 8 pg. 161

-Observation -Written assignments

Geometry

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

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

-Construct circles passing through the vertices of a triangle
-Show interest in geometric constructions

-Practice constructing circles passing through vertices 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. 163
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 164

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - The Cartesian plane (2)

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

-Draw a labelled Cartesian plane
-Identify points on the Cartesian plane
-Show interest in learning about coordinates

-Draw and appropriately label the axes on the Cartesian plane
-Practice locating points on a Cartesian plane appropriately

How do we plot coordinates on a Cartesian plane?

MENTOR mathematics Learner's Book Grade 8 pg. 167
-Graph paper
-Ruler
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)
4.2 Coordinates and Graphs - Linear graphs (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
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)

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

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - Graphical solution of simultaneous linear equations (2)
4.3 Scale Drawing - Representing length to a given scale (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. 186
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 189

-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)
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. 191
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 193
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)
4.4 Common Solids - Identifying common solids (3)

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

-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. 210
-Various solid objects
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)
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 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
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

-Observation -Written assignments

Geometry

4.4 Common Solids - Surface area of solids from nets (4)
4.4 Common Solids - Distance between points on a solid (2)

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

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

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

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 221
-Nets of pyramids
MENTOR mathematics Learner's Book Grade 8 pg. 224
-Various solid objects

-Observation -Written assignments

Geometry

4.4 Common Solids - Distance between points on a solid (2)
4.4 Common Solids - Making models of solids (3)
4.4 Common Solids - Making models of solids (3)

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. 225
-Various solid objects
MENTOR mathematics Learner's Book Grade 8 pg. 226
-Stiff paper
-Scissors
-Glue
MENTOR mathematics Learner's Book Grade 8 pg. 227

-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 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

-Observation

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)
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
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)

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

-Observation -Written assignments

Data Handling and Probability

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

-Determine the median of a set of discrete data
-Show interest in analyzing data

-Make number cards with different numbers
-Arrange the numbers in ascending or descending order
-Identify the middle number
-Search for the meaning of median using digital devices or relevant print resources
-Share findings with other learners in class

How do we determine the mean of data?

MENTOR mathematics Learner's Book Grade 8 pg. 249
-Number cards
-Digital devices
MENTOR mathematics Learner's Book Grade 8 pg. 256
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