Measurements

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

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

-Calculate the length of an arc for different angles
-Value the use of arc length in problem solving

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

-Draw and cut out a circle of radius 4 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the length of the arc of the quarter circle
-Apply the formula for arc length based on the angle subtended at the center

-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 determine the length of an arc for different angles?
How do we apply knowledge of sectors to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 92-93
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors

-Observation -Oral questions -Written tests

Measurements

Circles - Perimeter of a sector (continued)

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

-Observation -Oral questions -Written tests

Measurements

Area - Area of a sector

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

-Observation -Oral questions -Written assignments

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

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

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

-Discuss the properties of a cube
-Cut a cube along its edges to separate the faces
-Measure the sides of each face and calculate their areas
-Find the sum of the areas of all six faces
-Derive the formula for surface area of a cube

How do we determine the surface area of a cube?

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of 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

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

-Work out the area of irregular shapes using square grids
-Appreciate the method of estimating areas of irregular shapes

-Place a leaf on a square grid and trace its outline
-Count the number of unit squares fully enclosed
-Count the number of squares partially enclosed and divide by two
-Add the results to estimate the area of the leaf
-Discuss real-life applications of estimating irregular areas

How do we estimate the area of irregular shapes?

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

-Observation -Oral questions -Written tests -Practical activities

Measurements

Money - Interest and principal

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

-Identify interest and principal in real life situations
-Value the importance of understanding financial terms

-Visit or invite resource persons from financial institutions
-Gather information about deposits (principal) and interest
-Discuss the terms principal and interest
-Analyze examples showing how interest is calculated on deposits

What is interest in money?

MENTOR Mathematics Learner's Book pg. 119-120
-Resource persons
-Financial documents
-Charts

-Observation -Oral questions -Written assignments

Measurements

Money - Simple 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

-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 - 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 - Hire purchase

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

-Explain the concept of hire purchase
-Compare different payment options
-Value informed financial decision making

-Visit a furniture shop or examine a poster showing hire purchase terms
-Discuss the terms of payment offered by the shop
-Compare cash price versus hire purchase price
-Analyze which payment option is more economical

How do we pay for goods on hire purchase?

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

-Observation -Oral questions -Written tests

Measurements

Money - Calculating deposits and installments
Money - Financial responsibility

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

-Calculate the deposit in hire purchase transactions
-Calculate the monthly installments in hire purchase
-Show interest in applying mathematics in financial decisions

-Spend money responsibly on needs and leisure
-Value wise financial decision making

-Calculate the deposit when given hire purchase price and monthly installments
-Determine monthly installments when given hire purchase price and deposit
-Solve varied hire purchase problems
-Apply hire purchase concepts to real-life situations

-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 do we apply mathematics in hire purchase decisions?
How can we manage money responsibly?

MENTOR Mathematics Learner's Book pg. 135-137
-Calculator
-Digital devices
-Price lists
MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Written tests
-Observation -Oral questions -Projects

Measurements

Money - Financial responsibility

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

-Spend money responsibly on needs and leisure
-Value wise financial decision making

-Discuss the difference between needs and wants
-Create a simple budget allocating money for different purposes
-Analyze case studies of responsible and irresponsible spending
-Debate the importance of saving versus immediate consumption

How can we manage money responsibly?

MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Projects

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)

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

-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 bisector to a given line
-Show interest in geometric constructions

-Practice constructing perpendicular bisectors 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. 135
-Pair of compasses
-Ruler

-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 - Constructing regular polygons (1)

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

-Construct a regular pentagon
-Show interest in geometric constructions

-Construct regular pentagons 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. 144
-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 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

-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 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

-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)

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 - 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

-Determine an appropriate scale 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

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

-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

4.2 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

-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

-Write 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

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

-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:

-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

-Observation -Written assignments

Geometry

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

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

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

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

How do we determine scales in real life?

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

-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. 211
-Various solid objects

-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 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

-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

-Observation -Written assignments

Geometry

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

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

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

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

What are common solids?

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

-Observation -Written assignments

Geometry

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

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

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

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

What are common solids?

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

-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

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

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

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

What are common solids?
How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 221
-Nets of pyramids
MENTOR mathematics Learner's Book Grade 8 pg. 225
-Various solid objects

-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

-Observation

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

-Observation

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. 229
-Stiff paper
-Scissors
-Glue

-Observation