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

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

-Observation -Oral questions -Written tests

Measurements

Money - Depreciation
Money - Hire purchase
Money - Calculating hire purchase price
Money - Calculating deposits and installments

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

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

In groups, learners are guided to:

-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

-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

How do we calculate depreciation over time?
What are the advantages and disadvantages of hire purchase?

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
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

In groups, learners are guided to:

-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
MENTOR mathematics Learner's Book Grade 8 pg. 133
-Set square

-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
MENTOR mathematics Learner's Book Grade 8 pg. 136

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing perpendicular lines (2)
4.1 Geometrical Constructions - Dividing a line proportionally (1)
4.1 Geometrical Constructions - Angle properties of polygons (1)
4.1 Geometrical Constructions - Constructing regular polygons (1)
4.1 Geometrical Constructions - Constructing regular polygons (1)

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

-Construct a perpendicular line from a point to a given line
-Appreciate the importance of accurate construction of geometric shapes

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

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

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

How do we construct polygons?
Where do we use polygons in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 137
-Pair of compasses
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 139
-Set square
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
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)
4.2 Coordinates and Graphs - Table of values for linear equations (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

-Generate a table of values for a linear equation
-Show interest in plotting 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

-Discuss and make an appropriate table of values for a given linear equation
-Generate values for linear equations

How do we plot coordinates on a Cartesian plane?
Where do we use linear graphs in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 167
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 171
MENTOR mathematics Learner's Book Grade 8 pg. 174
-Graph paper
MENTOR mathematics Learner's Book Grade 8 pg. 178

-Observation -Written assignments

Geometry

4.2 Coordinates and Graphs - Linear graphs (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

In groups, learners are guided to:

-Make an appropriate table of values for a given linear equation and draw the linear graphs
-Use IT graphing tools to create linear graphs

Where do we use linear graphs in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 180
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 183

-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. 185
-Graph paper
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 186
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)
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:

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

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

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

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

Where do we use scale drawing in real life situations?
How do we determine scales in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 194
-Ruler
MENTOR mathematics Learner's Book Grade 8 pg. 195
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)
4.4 Common Solids - Sketching nets of common solids (3)
4.4 Common Solids - Surface area of solids from nets (4)

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

-Sketch nets of cubes and cuboids
-Enjoy working with geometric shapes

-Sketch nets of cones
-Enjoy working with geometric shapes

-Discuss, open and sketch the nets of hollow cubes and cuboids
-Share sketches with other learners in class

-Discuss, open and sketch the nets of hollow cones
-Share sketches with other learners in class

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

MENTOR mathematics Learner's Book Grade 8 pg. 212
-Various hollow solids
v Learner's Book Grade 8 pg. 214
MENTOR mathematics Learner's Book Grade 8 pg. 215
-Various hollow solids
MENTOR mathematics Learner's Book Grade 8 pg. 216
-Nets of cubes

-Observation -Written assignments

Geometry

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

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

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

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

How do we use common solids in real life?

MENTOR mathematics Learner's Book Grade 8 pg. 217
-Nets of cuboids
MENTOR mathematics Learner's Book Grade 8 pg. 219
-Nets of cylinders

-Observation -Written assignments

Geometry

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

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

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

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

What are common solids?

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

-Observation -Written assignments

Geometry

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

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
Geometry
Data Handling and Probability

4.4 Common Solids - Making models of solids (3)
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 cuboids
-Enjoy working with geometric shapes

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

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

-Make models of hollow and compact cylinders, pyramids and cones using locally available materials
-Share models 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. 227
-Stiff paper
-Scissors
-Glue
MENTOR mathematics Learner's Book Grade 8 pg. 228
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)
5.1 Data Presentation and Interpretation - Drawing line 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
-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
MENTOR mathematics Learner's Book Grade 8 pg. 238

-Observation -Written assignments

Data Handling and Probability

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

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

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
MENTOR mathematics Learner's Book Grade 8 pg. 246
-Tape measure

-Observation -Oral questions

Data Handling and Probability

5.1 Data Presentation and Interpretation - Mean of discrete data (2)
5.1 Data Presentation and Interpretation - Median of discrete data (1)
5.2 Probability - Events involving chance (1)
5.2 Probability - Chance experiments (2)

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

-Calculate the mean of a set of discrete data
-Value the use of mean in summarizing data

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

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

-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

How do we determine the mean of data?
When do we consider chances that an event is likely to happen?

MENTOR mathematics Learner's Book Grade 8 pg. 248
-Calculator
MENTOR mathematics Learner's Book Grade 8 pg. 249
-Number cards
-Digital devices
MENTOR mathematics Learner's Book Grade 8 pg. 256
-Digital devices
MENTOR mathematics Learner's Book Grade 8 pg. 258
-Coins

-Observation -Written assignments
-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Chance experiments (2)
5.2 Probability - Experimental probability outcomes (1)

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

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

-Roll a die 10 times
-Record the number that appears on the top face of the die
-Put marbles of different colors in a bag and pick randomly
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 259
-Dice
-Marbles of different colors
MENTOR mathematics Learner's Book Grade 8 pg. 260

-Observation -Oral questions

Data Handling and Probability

5.2 Probability - Probability outcomes in fractions (1)
5.2 Probability - Probability outcomes in decimals or percentages (2)
5.2 Probability - Probability outcomes in decimals or percentages (2)
5.2 Probability - Probability outcomes in decimals or percentages (2)

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

-Express the probability outcomes in fractions
-Value the concept of probability in analyzing events

-Roll a die multiple times
-Record the number that appears on the top face of the die
-Determine the experimental probability of getting specific numbers
-Express outcomes as fractions
-Share findings with other learners in class

Why is probability important in real life situations?

MENTOR mathematics Learner's Book Grade 8 pg. 262
-Dice
MENTOR mathematics Learner's Book Grade 8 pg. 263
-Coins
MENTOR mathematics Learner's Book Grade 8 pg. 264
-Marbles of different colors

-Observation -Written assignments