Measurements

Circles - Circumference of a circle

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

-Observation -Oral questions -Written assignments

Measurements

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 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

-Observation -Oral questions -Written tests

Measurements

Circles - Length of an arc

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc (continued)

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

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

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

How do we determine the length of an arc for different angles?

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

-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

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

-Observation -Oral questions -Written assignments

Measurements

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 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

-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 cuboids

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

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of cylinders

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cylinders (continued)

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

-Observation -Oral questions -Written tests

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

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 - Compound interest

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

-Observation -Oral questions -Written assignments

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

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

-Observation -Oral questions -Written assignments

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 hire purchase price

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

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating deposits and installments

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

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

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

How do we apply mathematics in hire purchase decisions?

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

-Observation -Oral questions -Written tests

Measurements

Money - Online financial tools

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

-Observation -Oral questions -Digital activities

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

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)

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

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Drawing line graphs (2)

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

-Draw line graphs of given data
-Show interest in representing data using line graphs

-Choose a suitable scale for presenting data
-Make tables of values
-Plot points on the graph
-Join the points to form a line graph
-Share work with other learners in class

What are the different ways of representing data?

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

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Drawing line graphs (2)

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

-Draw line graphs of given data
-Show interest in representing data using line graphs

-Choose a suitable scale for presenting data
-Make tables of values
-Plot points on the graph
-Join the points to form a line graph
-Share work with other learners in class

What are the different ways of representing data?

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

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Interpreting line graphs (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

-Observation -Written assignments

Data Handling and Probability

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

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

-Identify the mode of a set of discrete data
-Show interest in learning about mode

-Record favorite colors of classmates in a table
-Identify which color is liked by most learners
-Search for the meaning of mode 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. 243
-Digital devices

-Observation -Oral questions

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

-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

-Calculate mean of different sets of data
-Share work with other learners in class

How do we determine the mean of data?

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)

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

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Events involving chance (1)

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

-Identify events involving chance in real life situations
-Value the study of probability in daily life

-Discuss events that are likely to happen, unlikely to happen or will not happen
-Discuss other daily events that are likely to happen, unlikely to happen or will not happen
-Search for the meaning of probability using digital devices or relevant print resources
-Share findings with other learners in class

When do we consider chances that an event is likely to happen?

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

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Chance experiments (2)

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

-Perform chance experiments
-Value the use of probability in decision making

-Toss a coin 10 times
-Record how many times the head shows up
-Record how many times the tail shows up
-Share findings with other learners in class

When do we consider chances that an event is likely to happen?

MENTOR mathematics Learner's Book Grade 8 pg. 258
-Coins
MENTOR mathematics Learner's Book Grade 8 pg. 259
-Dice
-Marbles of different colors

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Experimental probability outcomes (1)

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

-Write the experimental probability outcomes
-Show interest in determining chance

-Roll a die multiple times
-Record the number that appears on the top face of the die
-Determine the number of possible outcomes
-State each possible outcome
-Share results with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 260
-Dice

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Probability outcomes in fractions (1)

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

-Observation -Written assignments

Data Handling and Probability

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 decimals
-Value the use of probability in daily life

-Toss a coin multiple times
-Record the results in a table
-Calculate the probability of heads and tails
-Express probability as decimals
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 263
-Coins

-Observation -Written assignments

Data Handling and Probability

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 percentages
-Value the use of probability in daily life

-Put marbles of different colors in a bag
-Pick a marble randomly and record the color
-Calculate probabilities and express them as percentages
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 264
-Marbles of different colors

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Probability outcomes in decimals or percentages (2)

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