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

In groups, learners are guided to:

-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
Money - Depreciation

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

In groups, learners are guided to:

-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
MENTOR Mathematics Learner's Book pg. 128-129

-Observation -Oral questions -Written tests

Measurements

Money - Hire purchase
Money - Calculating hire purchase price

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

In groups, learners are guided to:

-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
MENTOR Mathematics Learner's Book pg. 132-134
-Price lists
-Charts

-Observation -Oral questions -Written tests

Measurements

Money - Calculating deposits and installments
Money - Online financial tools

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

In groups, learners are guided to:

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

-Observation -Oral questions -Written tests

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

In groups, learners are guided to:

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

How can we manage money responsibly?

MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts
-MENTOR mathematics Learner's Book Grade 8 pg. 132
-Pair of compasses
-Ruler

-Observation -Oral questions -Projects

Geometry

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

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

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

-Practice constructing parallel lines using a set square and ruler
-Share drawings with other learners in class

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 133
-Set square
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 135
-Pair of compasses

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing perpendicular lines (2)

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

-Construct a perpendicular line through a point on a given line
-Show interest in geometric constructions

-Practice constructing perpendicular lines through a point on a given line using a ruler and pair of compasses
-Share drawings with other learners in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 136
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 137

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Dividing a line proportionally (1)
4.1 Geometrical Constructions - Angle properties of polygons (1)

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

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

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

How do we construct polygons?

MENTOR mathematics Learner's Book Grade 8 pg. 139
-Pair of compasses
-Ruler
-Set square
MENTOR mathematics Learner's Book Grade 8 pg. 140
-Cut-out polygons

-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

In groups, learners are guided to:

-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
MENTOR mathematics Learner's Book Grade 8 pg. 146

-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 triangle
-Appreciate the importance of accuracy in construction

-Construct triangles given different measurements (sides and angles)
-Share work with other learners in class

Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 149
-Pair of compasses
-Ruler
-Protractor
MENTOR mathematics Learner's Book Grade 8 pg. 152

-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

In groups, learners are guided to:

-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

In groups, learners are guided to:

-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

In groups, learners are guided to:

-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

In groups, learners are guided to:

-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

In groups, learners are guided to:

-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)
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

In groups, learners are guided to:

-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)

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

-Observation -Written assignments

Geometry

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

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

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

-Practice converting scale length to actual length
-Share work with other learners in class

Where do we use scale drawing in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 194
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 195

-Observation -Written assignments

Geometry

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

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

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

-Discuss and write given linear scales in statement form
-Share findings with other learners in class

How do we determine scales in real life?

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

-Observation -Written assignments

Geometry

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

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

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

-Discuss and write given linear scales in ratio form
-Share findings with other learners in class

Where do we use scale drawing in real life situations?

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

-Observation -Written assignments

Geometry

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

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

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

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

Where do we use scale drawing in real life situations?

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

-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)

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

-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 cubes from nets
-Enjoy working with geometric shapes

-Work out the surface area of cubes 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. 216
-Nets of cubes
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)
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)

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

-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 cuboids
-Enjoy working with geometric shapes

-Make models of hollow and compact cuboids using locally available materials
-Share models with other learners in class

What are common solids?

MENTOR mathematics Learner's Book Grade 8 pg. 227
-Stiff paper
-Scissors
-Glue
MENTOR mathematics Learner's Book Grade 8 pg. 228

-Observation

Geometry
Data Handling and Probability

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

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

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

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

How do we use common solids in real life?

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

-Observation

Data Handling and Probability

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

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

-Draw bar graphs of data
-Appreciate the use of bar graphs in real life situations

-Collect data from their own experiences
-Use a suitable scale to represent the information on a bar graph
-Share work with other learners in class

What are the different ways of representing data?

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

-Observation -Written assignments

Data Handling and Probability

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

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

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

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

What are the different ways of representing data?

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

-Observation -Written assignments

Data Handling and Probability

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

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

-Interpret line graphs of data
-Appreciate the use of line graphs in real life situations

-Study given line graphs
-Interpret data from line graphs by answering questions
-Share findings with other learners in class

What are the different ways of representing data?

MENTOR mathematics Learner's Book Grade 8 pg. 241
-Line graphs
MENTOR mathematics Learner's Book Grade 8 pg. 243
-Digital devices

-Observation -Written assignments

Data Handling and Probability

5.1 Data Presentation and Interpretation - Mean of discrete data (2)

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)

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

-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)
5.2 Probability - Probability outcomes in fractions (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
MENTOR mathematics Learner's Book Grade 8 pg. 262

-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
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:

In groups, learners are guided to: