Algebra

Algebraic Expressions - Factorizing algebraic expressions (1)
Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Identify common factors in algebraic expressions
-Factorize algebraic expressions using the greatest common factor
-Show interest in factorizing algebraic expressions

-Discuss and identify the GCD of pairs of numbers
-Identify common factors in algebraic expressions
-Practice factorizing algebraic expressions by taking out the common factor

How do we factorize algebraic expressions?

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

-Observation -Oral questions -Written assignments

Algebra

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

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

-Find the LCM of denominators in algebraic fractions
-Simplify algebraic fractions with different denominators
-Show interest in simplifying algebraic fractions

-Work out the LCM of denominators in algebraic fractions
-Practice simplifying algebraic fractions by using the LCM of denominators
-Express algebraic fractions as a single fraction

How do we simplify algebraic fractions?

MENTOR Mathematics Learner's Book pg. 71-72
-Practice cards
-Fraction boards
MENTOR Mathematics Learner's Book pg. 73-74
-Number cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

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

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

How do we evaluate algebraic expressions?

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

-Observation -Oral questions -Written assignments

Algebra

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

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

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

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

How do we use algebraic expressions in real life situations?

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

-Observation -Oral questions -Written tests

Algebra

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

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

-Express variables in terms of other variables in linear equations
-Prepare linear equations for solution by substitution
-Develop interest in solving linear equations

-Discuss and express one variable in terms of the other in linear equations
-Practice making one variable the subject of a formula
-Prepare different linear equations for solution by substitution

How do we solve linear equations in two unknowns by substitution?

MENTOR Mathematics Learner's Book pg. 81
-Number cards
-Linear equation cards
MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Elimination method introduction

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

-Set up linear equations for solution by elimination
-Prepare linear equations by multiplying to get equal coefficients
-Value the elimination method in solving equations

-Discuss the concept of the elimination method
-Practice multiplying equations by suitable numbers to get equal coefficients
-Set up different linear equations for solution by elimination

How do we solve linear equations by elimination?

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

-Observation -Oral questions -Written tests

Algebra

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

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

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

Where do we use linear equations in real life situations?

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Circumference of a circle
Circles - Circumference of a circle in real life

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

-Work out the circumference of a circle
-Show interest in finding the circumference of circular objects

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

How do we determine the circumference of a circle?

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc
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

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Perimeter of a sector (continued)
Area - Area of a circle

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

-Solve problems involving the perimeter of a sector
-Appreciate the use of sectors in real life situations

-Solve various problems involving sectors of different angles
-Apply the formula for perimeter of a sector in real-life contexts
-Discuss real-life examples of sectors

How do we apply knowledge of sectors to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors
MENTOR Mathematics Learner's Book pg. 99
-Peg
-String
-Tape measure
-Wood ash

-Observation -Oral questions -Written tests

Measurements

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

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

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

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

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

MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools
MENTOR Mathematics Learner's Book pg. 102-103
-Ruler
-Plain paper
-Pair of compasses

-Observation -Oral questions -Written tests

Measurements

Area - Area of a sector (continued)

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

-Observation -Oral questions -Written tests

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

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

-Observation -Oral questions -Written assignments

Measurements

Area - Area of irregular shapes
Money - Interest and principal

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

-Observation -Oral questions -Written tests -Practical activities

Measurements

Money - Simple interest
Money - Compound interest

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

-Calculate simple interest in real life situations
-Appreciate the concept of simple interest in financial transactions

-Search for the meaning of simple interest using digital devices or print resources
-Discuss how simple interest is calculated using the formula I = PRT
-Practice calculating simple interest for different principals, rates and time periods
-Analyze the pattern of simple interest over time

How do we calculate simple interest?

MENTOR Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices
-Charts
MENTOR Mathematics Learner's Book pg. 123-125

-Observation -Oral questions -Written tests

Measurements

Money - Appreciation

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

-Observation -Oral questions -Written tests

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

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

-Calculate the total hire purchase price
-Work out the difference between cash price and hire purchase price
-Appreciate the importance of comparing payment options

-Calculate hire purchase price as sum of deposit and all installments
-Determine the difference between hire purchase price and cash price
-Solve problems involving hire purchase transactions
-Discuss the advantages and disadvantages of hire purchase

What are the advantages and disadvantages of hire purchase?

MENTOR Mathematics Learner's Book pg. 132-134
-Calculator
-Price lists
-Charts
MENTOR Mathematics Learner's Book pg. 135-137
-Digital devices

-Observation -Oral questions -Written assignments

Measurements

Money - Online financial tools
Money - Financial responsibility

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

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

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

How does technology help in financial calculations?

MENTOR Mathematics Learner's Book pg. 138
-Digital devices
-Internet access
-Online calculators
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Digital activities

Geometry

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

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

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

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

How do we construct polygons?

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

-Observation -Written assignments

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)

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

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

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

How do we construct polygons?

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

-Observation -Written assignments

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

-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 an irregular pentagon
-Appreciate the importance of accuracy in construction

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

How do we construct polygons?

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

-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)

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)

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

-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

-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)

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

-Observation -Written assignments