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

In groups, learners are guided to:

-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?

Spotlight 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
Circles - Length of an arc
Circles - Length of an arc (continued)

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

-Work out the circumference of a circle in real life situations
-Value the use of circumference in problem solving

In groups, learners are guided to:

-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?

Spotlight Mathematics Learner's Book pg. 89
-Circular objects
-Ruler
-String
Spotlight Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors Spotlight Mathematics Learner's Book pg. 92-93

-Observation -Oral questions -Written tests

Measurements

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

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

In groups, learners are guided to:

-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?

Spotlight Mathematics Learner's Book pg. 94-95
-Plain paper
-Pair of scissors
-RulerMathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors
Spotlight 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
Area - Area of a sector
Area - Area of a sector (continued)

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

In groups, learners are guided to:

-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?

Spotlight Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools
Spotlight Mathematics Learner's Book pg. 102-103
-Ruler
-Plain paper
-Pair of compasses Spotlight Mathematics Learner's Book pg. 104-105
-Digital resources
-Cut-outs of sectors

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of cubes
Area - Surface area of cuboids
Area - Surface area of cylinders
Area - Surface area of cylinders (continued)

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

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

In groups, learners are guided to:

-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?

Spotlight Mathematics Learner's Book pg. 106-107
-Closed cube
-Ruler
-Pair of scissors
Spotlight Mathematics Learner's Book pg. 108-109
-Closed cuboid
Spotlight Mathematics Learner's Book pg. 110-111
-Closed cylinder
Spotlight Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of triangular prisms
Area - Area of irregular shapes
Money - Interest and principal

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

In groups, learners are guided to:

-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?

Spotlight Mathematics Learner's Book pg. 114-115
-Triangular prism
-Ruler
-Pair of scissors
Spotlight Mathematics Learner's Book pg. 116-118
-Square grid
-Leaf
Spotlight Mathematics Learner's Book pg. 119-120
-Resource persons
-Financial documents
-Charts

-Observation -Oral questions -Written assignments

Measurements

Money - Simple interest
Money - Compound interest
Money - Appreciation

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?

Spotlight Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices
-Charts
Spotlight Mathematics Learner's Book pg. 123-125
Spotlight Mathematics Learner's Book pg. 126-127

-Observation -Oral questions -Written tests

Measurements

Money - Depreciation
Money - Hire purchase
Money - Calculating hire purchase price

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

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

How do we calculate depreciation over time?

Spotlight Mathematics Learner's Book pg. 128-129
-Calculator
-Digital devices
-Charts
Spotlight Mathematics Learner's Book pg. 130-131
-Posters showing hire purchase terms
Spotlight Mathematics Learner's Book pg. 132-134
-Price lists

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating deposits and installments
Money - Online financial tools
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

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?

Spotlight Mathematics Learner's Book pg. 135-137
-Calculator
-Digital devices
-Price lists
Spotlight Mathematics Learner's Book pg. 138
-Internet access
-Online calculators
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Written tests

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 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?

-Spotlight mathematics Learner's Book Grade 8 pg. 132
-Pair of compasses
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 133
-Set square
Spotlight mathematics Learner's Book Grade 8 pg. 135

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing perpendicular lines (2)
4.1 Geometrical Constructions - Dividing a line proportionally (1)

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?

Spotlight mathematics Learner's Book Grade 8 pg. 136
-Pair of compasses
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 137
Spotlight mathematics Learner's Book Grade 8 pg. 139
-Set square

-Observation -Written assignments

Geometry

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)
4.1 Geometrical Constructions - Constructing irregular polygons (1)

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

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

In groups, learners are guided to:

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

Where do we use polygons in real life situations?

Spotlight mathematics Learner's Book Grade 8 pg. 140
-Cut-out polygons
Spotlight mathematics Learner's Book Grade 8 pg. 144
-Pair of compasses
-Ruler
-Protractor
Spotlight mathematics Learner's Book Grade 8 pg. 146
Spotlight mathematics Learner's Book Grade 8 pg. 149

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing irregular polygons (1)

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

-Construct irregular quadrilaterals
-Appreciate the importance of accuracy in construction

In groups, learners are guided to:

-Construct irregular quadrilaterals - rectangles, rhombuses, parallelograms and trapeziums
-Share drawings with other groups in class

Where do we use polygons in real life situations?

Spotlight mathematics Learner's Book Grade 8 pg. 152
-Pair of compasses
-Ruler
-Protractor
-KLB Mathematics Learner's Book Grade 8 pg. 158
MENTOR mathematics Learner's Book Grade 8 pg. 161

-Observation -Written assignments

Geometry

4.1 Geometrical Constructions - Constructing circles related to triangles (1)
4.2 Coordinates and Graphs - The Cartesian plane (2)

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?

Spotlight mathematics Learner's Book Grade 8 pg. 163
-Pair of compasses
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 164
Spotlight mathematics Learner's Book Grade 8 pg. 167
-Graph paper

-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)
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?

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

-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

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?

Spotlight mathematics Learner's Book Grade 8 pg. 180
-Graph paper
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 183
Spotlight 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)
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?

Spotlight mathematics Learner's Book Grade 8 pg. 186
-Graph paper
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 189
Spotlight mathematics Learner's Book Grade 8 pg. 191

-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 actual length to scale length
-Enjoy working with measurements

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

Where do we use scale drawing in real life situations?

Spotlight mathematics Learner's Book Grade 8 pg. 193
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 194
Spotlight 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)
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?

Spotlight mathematics Learner's Book Grade 8 pg. 196
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 198
Spotlight mathematics Learner's Book Grade 8 pg. 199

-Observation -Written assignments

Geometry

4.3 Scale Drawing - Converting between statement form and ratio form (1)
4.3 Scale Drawing - Making scale drawings (1)
4.4 Common Solids - Identifying common solids (3)
4.4 Common Solids - Identifying common solids (3)

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?

Spotlight mathematics Learner's Book Grade 8 pg. 200
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 202
Spotlight mathematics Learner's Book Grade 8 pg. 209
-Various solid objects
Spotlight mathematics Learner's Book Grade 8 pg. 210

-Observation -Written assignments

Geometry

4.4 Common Solids - Identifying common solids (3)
4.4 Common Solids - Sketching nets of common solids (3)
4.4 Common Solids - Sketching nets of 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?

Spotlight mathematics Learner's Book Grade 8 pg. 211
-Various solid objects
Spotlight mathematics Learner's Book Grade 8 pg. 212
-Various hollow solids

-Observation

Geometry

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 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?

Spotlight mathematics Learner's Book Grade 8 pg. 214
-Various hollow solids
Spotlight mathematics Learner's Book Grade 8 pg. 215
Spotlight 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?

Spotlight mathematics Learner's Book Grade 8 pg. 217
-Nets of cuboids
Spotlight mathematics Learner's Book Grade 8 pg. 219
-Nets of cylinders
Spotlight mathematics Learner's Book Grade 8 pg. 221
-Nets of pyramids

-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?

Spotlight mathematics Learner's Book Grade 8 pg. 224
-Various solid objects
Spotlight mathematics Learner's Book Grade 8 pg. 225
Spotlight 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?

Spotlight mathematics Learner's Book Grade 8 pg. 227
-Stiff paper
-Scissors
-Glue
Spotlight mathematics Learner's Book Grade 8 pg. 228
Spotlight mathematics Learner's Book Grade 8 pg. 229

-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, 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?

Spotlight mathematics Learner's Book Grade 8 pg. 233
-Graph paper
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 235
Spotlight 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)
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:

-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?

Spotlight mathematics Learner's Book Grade 8 pg. 238
-Graph paper
-Ruler
Spotlight mathematics Learner's Book Grade 8 pg. 240
Spotlight mathematics Learner's Book Grade 8 pg. 241
-Line graphs
Spotlight 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)
5.1 Data Presentation and Interpretation - Median of discrete data (1)

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?

Spotlight mathematics Learner's Book Grade 8 pg. 246
-Tape measure
Spotlight mathematics Learner's Book Grade 8 pg. 248
-Calculator
Spotlight mathematics Learner's Book Grade 8 pg. 249
-Number cards
-Digital devices

-Observation -Written assignments

Data Handling and Probability

5.2 Probability - Events involving chance (1)
5.2 Probability - Chance experiments (2)
5.2 Probability - Chance experiments (2)

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?

Spotlight mathematics Learner's Book Grade 8 pg. 256
-Digital devices
Spotlight mathematics Learner's Book Grade 8 pg. 258
-Coins
Spotlight 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)
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:

-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?

Spotlight mathematics Learner's Book Grade 8 pg. 260
-Dice
Spotlight mathematics Learner's Book Grade 8 pg. 262
Spotlight mathematics Learner's Book Grade 8 pg. 263
-Coins
Spotlight mathematics Learner's Book Grade 8 pg. 264
-Marbles of different colors

-Observation -Written assignments