Measurements

Area - Calculating the area of a circle
Area - Working out the 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
-Apply the formula for area of a circle
-Value the importance of circular areas

-Draw a circle on a graph paper
-Estimate its area by counting squares
-Calculate area using the formula A = πr²
-Compare the estimated and calculated areas

How do we use area in real life situations?

-KLB Grade 8 Mathematics pg. 77
-Graph paper
-Pair of compasses
-KLB Grade 8 Mathematics pg. 79
-Circular objects
-Measuring tools

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the 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
-Apply the formula for sector area
-Appreciate sectors in everyday objects

-Use cut-outs of sectors from locally available materials
-Express the angle of sector as a fraction of 360°
-Calculate sector area using the formula
-Relate the angle of the sector to the area of the circle

How do we calculate the area of a sector?

-KLB Grade 8 Mathematics pg. 80
-Paper
-Pair of compasses
-Protractors

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the area of a sector in real life

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

-Apply knowledge of sector area in real-life contexts
-Calculate sector areas in various scenarios
-Show interest in sector applications

-Calculate sector areas for different angles
-Solve real-life problems involving sector areas
-Discuss practical applications of sectors

How do we use sectors in real life?

-KLB Grade 8 Mathematics pg. 81
-Sector models
-Protractors

-Observation -Oral questions -Written tests

Measurements

Area - Working out the surface area of cubes
Area - Working out the surface area of cuboids

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

-Work out the surface area of cubes
-Apply the formula for cube surface area
-Value the importance of surface area

-Use a model of a cube to identify faces
-Measure edges and calculate face areas
-Find the sum of areas of all faces
-Apply the formula for cube surface area

How do we calculate the surface area of a cube?

-KLB Grade 8 Mathematics pg. 82
-Cube models
-Measuring tools
-KLB Grade 8 Mathematics pg. 84
-Cuboid models

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the surface area of cylinders

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

-Work out the surface area of cylinders
-Apply the formula for cylinder surface area
-Appreciate cylinders in everyday life

-Make a paper model of a cylinder
-Open the model to identify faces
-Calculate area of circular ends and curved face
-Apply the formula for cylinder surface area

How do we calculate the surface area of a cylinder?

-KLB Grade 8 Mathematics pg. 86
-Cylindrical objects
-Paper
-Scissors

-Observation -Oral questions -Written tests

Measurements

Area - Working out the surface area of triangular prisms
Area - Working out the area of irregular shapes

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

-Determine the surface area of triangular prisms
-Apply the formula for triangular prism surface area
-Show interest in prism measurements

-Use a model of triangular prism to identify faces
-Calculate areas of triangular faces and rectangular faces
-Find the sum of all face areas
-Apply the formula for triangular prism surface area

How do we calculate the surface area of a triangular prism?

-KLB Grade 8 Mathematics pg. 87
-Triangular prism models
-Measuring tools
-KLB Grade 8 Mathematics pg. 88
-Square grid paper
-Irregular objects
-Tracing paper

-Observation -Oral questions -Written assignments

Measurements

Money - Identifying interest and principal

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

-Identify interest and principal in real-life situations
-Differentiate between principal and interest
-Show interest in financial terms

-Visit or invite resource persons from financial institutions
-Discuss how money is deposited and borrowed
-Gather information on principal and interest
-Identify principal and interest in various scenarios

What is interest in money?

-KLB Grade 8 Mathematics pg. 89
-Financial brochures
-Digital resources

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating simple interest
Money - More on simple interest

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

-Calculate simple interest in real-life situations
-Apply the formula for simple interest
-Value the importance of interest calculations

-Identify principal, rate, and time in scenarios
-Apply the formula I = PRT/100
-Solve problems involving simple interest
-Discuss terms of interest on deposits

What is interest in money?

-KLB Grade 8 Mathematics pg. 91
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 92

-Observation -Oral questions -Written tests

Measurements

Money - Calculating compound interest for one year

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

-Calculate compound interest for one year
-Understand the concept of compounding
-Appreciate the impact of compounding

-Calculate interest for the first year
-Find the total amount at the end of the year
-Compare simple and compound interest for one year
-Discuss the effect of compounding

How does compound interest differ from simple interest?

-KLB Grade 8 Mathematics pg. 93
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Measurements

Money - Calculating compound interest for two years

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

-Calculate compound interest for two years
-Apply step-by-step calculation method
-Show interest in long-term investments

-Calculate interest for the first year and new principal
-Calculate interest for the second year
-Find the total compound interest
-Discuss the growth of investments

How do we pay for goods on hire purchase?

-KLB Grade 8 Mathematics pg. 94
-Calculator
-Digital resources

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating compound interest for three years
Money - Working out appreciation

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

-Calculate compound interest for three years
-Apply step-by-step calculation method
-Value long-term financial planning

-Calculate interest year by year
-Find total compound interest over three years
-Compare with simple interest
-Discuss the advantages of compound interest

How does compound interest grow over time?

-KLB Grade 8 Mathematics pg. 95
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 96

-Observation -Oral questions -Written tests

Measurements

Money - Working out depreciation

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

-Work out depreciation of value
-Apply depreciation calculations to assets
-Understand depreciation in financial planning

-Research meaning of depreciation
-List items that depreciate in value
-Calculate value after depreciation
-Discuss impact of depreciation on investments

How do we calculate depreciation of value?

-KLB Grade 8 Mathematics pg. 97
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Measurements
Geometry

Money - Working out hire purchase
Geometrical Constructions - Construction of parallel lines

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

-Work out hire purchase costs
-Compare cash price and hire purchase price
-Make informed financial decisions

-Visit shops with hire purchase options or use digital resources
-Gather information on deposit, cash price, and installments
-Calculate total hire purchase cost
-Compare with cash price and determine the extra cost

How do we pay for goods on hire purchase?

-KLB Grade 8 Mathematics pg. 98
-Calculator
-Brochures from shops
-Digital resources
-KLB Grade 8 Mathematics pg. 100
-Pair of compasses
-Ruler
-Drawing paper

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of parallel lines using a set square

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

-Construct parallel lines using a set square and ruler
-Apply construction in real-life situations
-Value the importance of parallel lines

-Draw line ST and point P above the line
-Place one of the shorter edges of a set square along ST
-Put a ruler along the other edge of the set square to touch P
-Slide the set square along the ruler towards P
-Draw a straight line along the edge to create a parallel line

Where do we use polygons in real life situations?

-KLB Grade 8 Mathematics pg. 103
-Set square
-Ruler
-Drawing paper

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Construction of perpendicular lines from a point
Geometrical Constructions - Construction of perpendicular lines through a point

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

-Construct perpendicular lines from a point to a given line
-Apply perpendicular construction in solving problems
-Show interest in perpendicular lines

-Draw line AB and point M
-With M as center and suitable radius, construct two arcs to cut AB at C and D
-Using C and D as centers and suitable radius, construct two arcs on the opposite side to intersect at E
-Join M to E through point F on the line

How do we construct perpendicular lines?

-KLB Grade 8 Mathematics pg. 104
-Pair of compasses
-Ruler
-Drawing paper
-KLB Grade 8 Mathematics pg. 105

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Dividing a line proportionally

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

-Divide a line proportionally
-Apply proportional division in solving problems
-Show interest in proportional division

-Draw lines AB and AC of convenient lengths
-Mark five equal intervals from A along AC
-Join the last point to B
-Draw lines parallel to this line through the other points
-Mark the points where these parallel lines cut AB

How do we divide a line proportionally?

-KLB Grade 8 Mathematics pg. 106
-Pair of compasses
-Ruler
-Set square

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Identifying angle properties of polygons

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

-Identify angle properties of polygons
-Calculate interior and exterior angles
-Show interest in polygon properties

-Discuss the relationship between the sum of interior angles and number of sides
-Fill in a table showing the sum of interior angles for different polygons
-Relate the number of right angles to the number of sides
-Calculate individual angles in regular polygons

What are the properties of different polygons?

-KLB Grade 8 Mathematics pg. 108
-Polygon models
-Protractor
-Calculator

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Construction of a regular triangle
Geometrical Constructions - Construction of a regular quadrilateral

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

-Construct a regular triangle
-Apply triangle construction in real-life situations
-Value the use of regular triangles

-Construct line PQ of required length
-Using P and Q as centers and radius equal to side length, construct two arcs intersecting at R
-Join P to R and Q to R
-Measure the angles to confirm they are all 60°

How do we construct regular polygons?

-KLB Grade 8 Mathematics pg. 112
-Pair of compasses
-Ruler
-Protractor
-KLB Grade 8 Mathematics pg. 113
-Set square

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of a regular pentagon

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

-Calculate interior angles of a regular pentagon
-Construct a regular pentagon
-Value the use of regular pentagons

-Find the size of each interior angle of the pentagon (108°)
-Draw line AB of required length
-Using B as center and radius equal to side length, locate C such that angle ABC is 108°
-Continue the process to locate D and E
-Join A to E to complete the pentagon

How are interior angles related to the number of sides?

-KLB Grade 8 Mathematics pg. 114
-Pair of compasses
-Ruler
-Protractor

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of a regular hexagon
Geometrical Constructions - Construction of irregular polygons

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

-Calculate interior angles of a regular hexagon
-Construct a regular hexagon
-Show interest in regular hexagons

-Find the size of each interior angle of the hexagon (120°)
-Draw line PQ of required length
-At Q, draw the interior angle PQR with QR equal to side length
-Continue the process to locate S, T, and U
-Join U to P to complete the hexagon

What are the properties of a regular hexagon?

-KLB Grade 8 Mathematics pg. 115
-Pair of compasses
-Ruler
-Protractor
-KLB Grade 8 Mathematics pg. 117

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Construction of circles passing through vertices

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

-Construct circles passing through the vertices of a triangle
-Find the center and radius of the circle
-Show interest in circumcircles

-Draw the triangle ABC
-Construct perpendicular bisectors of AB and AC
-Determine the point of intersection O (circumcenter)
-With O as center and radius OA, draw a circle
-Verify that the circle passes through all vertices

What is the relationship between a triangle and its circumcircle?

-KLB Grade 8 Mathematics pg. 123
-Pair of compasses
-Ruler
-Protractor

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Drawing and labeling a Cartesian plane

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

-Draw a labelled Cartesian plane
-Identify different parts of the Cartesian plane
-Show interest in Cartesian planes

-Draw a horizontal x-axis and vertical y-axis
-Mark the origin where the axes intersect
-Use a scale to mark positive and negative values on both axes
-Label the axes and quadrants

How do we plot coordinates on a Cartesian plane?

-KLB Grade 8 Mathematics pg. 128
-Graph paper
-Ruler
-Digital resources

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Identifying points on the Cartesian plane
Coordinates and Graphs - Plotting points on the Cartesian plane

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

-Identify points on the Cartesian plane
-Read coordinates of points
-Value the Cartesian coordinate system

-Study points plotted on the Cartesian plane
-Identify the ordered pairs (x,y) for each point
-Discuss how to read coordinates of points in different quadrants
-Write coordinates of given points

What do coordinates tell us about a point's location?

-KLB Grade 8 Mathematics pg. 129
-Graph paper
-Cartesian plane charts
-KLB Grade 8 Mathematics pg. 130
-Ruler
-Digital resources

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Generating table of values for linear equations

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

-Generate table of values for a linear equation
-Substitute values in equations
-Value the relationship between variables

-Given linear equations, select appropriate x-values
-Substitute each x-value into the equation to find corresponding y-value
-Record the ordered pairs in a table
-Verify that the pairs satisfy the original equation

Where do we use linear graphs in real life?

-KLB Grade 8 Mathematics pg. 131
-Exercise books
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Determining appropriate scale
Coordinates and Graphs - Drawing linear graphs (I)

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

-Determine an appropriate scale for a linear equation
-Convert actual values to scale values
-Show interest in scale selection

-Analyze the range of x and y values in the table
-Choose a scale that allows all points to fit on the graph paper
-Convert actual values to appropriate scale values
-Discuss the importance of suitable scales

How do we choose an appropriate scale?

-KLB Grade 8 Mathematics pg. 133
-Graph paper
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 135
-Ruler
-Pencil

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Drawing linear graphs (II)

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

-Draw linear graphs for different equations
-Identify key features of linear graphs
-Show interest in graphical representations

-Generate tables of values for different linear equations
-Plot the points on a Cartesian plane
-Draw the lines representing the equations
-Discuss the gradient and y-intercept of each line

How does changing the equation affect the graph?

-KLB Grade 8 Mathematics pg. 136
-Graph paper
-Ruler
-Digital resources

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Solving simultaneous equations graphically (I)
Coordinates and Graphs - Solving simultaneous equations graphically (II)

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

-Solve simultaneous equations graphically
-Identify the point of intersection
-Value graphical solutions

-Generate tables of values for two linear equations
-Plot both equations on the same Cartesian plane
-Identify the point of intersection
-Verify that the coordinates satisfy both equations

How can we solve equations using graphs?

-KLB Grade 8 Mathematics pg. 137
-Graph paper
-Ruler
-Digital resources
-KLB Grade 8 Mathematics pg. 138
-Calculator

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Applying simultaneous equations in real life (I)

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

-Apply simultaneous equations in real-life problems
-Form equations from word problems
-Value real-life applications

-Translate word problems into linear equations
-Generate tables of values for the equations
-Draw the graphs and find the point of intersection
-Interpret the solution in the context of the problem

Where do we use simultaneous equations in real life?

-KLB Grade 8 Mathematics pg. 140
-Graph paper
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Geometry

Coordinates and Graphs - Applying simultaneous equations in real life (II)

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

-Solve complex real-life problems using graphs
-Interpret solutions in context
-Show interest in practical applications

-Analyze complex word problems involving costs, quantities, etc.
-Form appropriate simultaneous equations
-Solve graphically and interpret the solution
-Discuss the practical implications of the solution

How can graphs help us make decisions?

-KLB Grade 8 Mathematics pg. 141
-Graph paper
-Calculator
-Digital resources

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Solving practical problems using graphs
Scale Drawing - Representing length to a given scale

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

-Solve practical problems using graphs
-Make decisions based on graphical solutions
-Appreciate graphical problem-solving

-Study practical problems from different contexts
-Model the problems using simultaneous equations
-Solve graphically and analyze the solutions
-Compare graphical solutions with algebraic methods

Why are graphs useful in problem-solving?

-KLB Grade 8 Mathematics pg. 142
-Graph paper
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 143
-Measuring tape/ruler
-Various objects
-Drawing materials

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Converting actual length to scale length

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

-Convert actual length to scale length
-Apply conversion in real-life situations
-Value the importance of scale conversion

-Measure lengths of objects like classrooms, tables, etc.
-Convert actual measurements to scale lengths using different scales
-Draw the objects using scale lengths
-Compare drawings made with different scales

Where do we use scale drawing in real life situations?

-KLB Grade 8 Mathematics pg. 145
-Measuring tape/ruler
-Calculator
-Drawing materials

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Converting scale length to actual length
Scale Drawing - Interpreting linear scales in statement form

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

-Convert scale length to actual length
-Apply conversion in real-life situations
-Show interest in scale conversion

-Study scale drawings with given scales
-Measure scale lengths in the drawings
-Convert scale lengths to actual lengths
-Verify conversions by measuring actual objects

How do we determine actual sizes from scale drawings?

-KLB Grade 8 Mathematics pg. 147
-Scale drawings
-Ruler
-Calculator
-KLB Grade 8 Mathematics pg. 148
-Scale diagrams

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Writing linear scales in statement form

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

-Write linear scales in statement form
-Apply statement scales correctly
-Show interest in scale representation

-Study objects with given actual and scale measurements
-Calculate the relationship between actual and scale lengths
-Express the scale in statement form
-Determine actual and scale measurements of other objects using the scale

How do we create an appropriate scale statement?

-KLB Grade 8 Mathematics pg. 149
-Various objects
-Measuring tools
-Calculator

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Interpreting linear scales in ratio form

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

-Interpret linear scales in ratio form
-Understand ratio scales
-Value the use of ratio scales

-Study tables with scale lengths and actual lengths
-Convert both measurements to the same units
-Express the relationship as a ratio in the form 1:n
-Use the ratio scale to find other measurements

How do we read and use ratio scales?

-KLB Grade 8 Mathematics pg. 150
-Scale diagrams
-Ruler
-Calculator

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Writing linear scales in ratio form
Scale Drawing - Converting linear scale from statement to ratio form

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

-Write linear scales in ratio form
-Apply ratio scales correctly
-Show interest in scale representation

-Measure actual objects and their scale representations
-Convert measurements to the same units
-Express the relationship as a ratio in simplest form
-Use the ratio to make scale drawings of other objects

What information does a ratio scale provide?

-KLB Grade 8 Mathematics pg. 151
-Various objects
-Measuring tools
-Calculator
-KLB Grade 8 Mathematics pg. 152
-Maps with statement scales
-Digital resources

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Converting linear scale from ratio to statement form

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

-Convert linear scales from ratio to statement form
-Apply conversion in real-life situations
-Show interest in different scale forms

-Study scales in ratio form (1:n)
-Determine what unit measurement the ratio represents
-Express the scale in statement form (1 cm represents x units)
-Verify that both forms represent the same scale

Why might we need to convert between scale forms?

-KLB Grade 8 Mathematics pg. 153
-Maps with ratio scales
-Calculator
-Digital resources

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Making scale drawings (I)
Scale Drawing - Making scale drawings (II)

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

-Make scale drawings using given scales
-Apply scale drawing techniques
-Value the importance of accuracy in scale drawings

-Measure objects with regular shapes (rectangles, squares)
-Select appropriate scales for drawings
-Convert actual measurements to scale lengths
-Make accurate scale drawings

How do we create accurate scale drawings?

-KLB Grade 8 Mathematics pg. 155
-Drawing paper
-Ruler
-Various objects
-KLB Grade 8 Mathematics pg. 156
-Protractor

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Solving problems using scale drawings

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

-Solve problems using scale drawings
-Determine unknown measurements
-Value practical applications of scale drawings

-Study scale drawings with given scales
-Measure parts of the scale drawing
-Convert scale measurements to actual measurements
-Determine unknown dimensions of actual objects

Where do we use scale drawing in real life situations?

-KLB Grade 8 Mathematics pg. 157
-Scale drawings
-Ruler
-Calculator

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Applications of scale drawings
Common Solids - Identification of common solids

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

-Apply scale drawings in various contexts
-Appreciate real-world applications
-Show interest in practical uses of scale drawings

-Explore applications in architecture, engineering, cartography, etc.
-Examine scale drawings from different fields
-Discuss the importance of scale in different professions
-Create scale drawings for practical purposes

How do different professions use scale drawings?

-KLB Grade 8 Mathematics pg. 157
-Maps
-Blueprint samples
-Digital resources
-KLB Grade 8 Mathematics pg. 158
-Common solid objects

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Characteristics of common solids

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

-Describe characteristics of common solids
-Differentiate between types of solids
-Value the properties of geometric solids

-Examine various solids: cubes, cuboids, prisms, pyramids, etc.
-Identify and count faces, edges, and vertices
-Determine the shapes of faces (triangular, rectangular, etc.)
-Classify solids based on their properties

What features define different types of solids?

-KLB Grade 8 Mathematics pg. 160
-Solid models
-Digital resources

-Observation -Oral questions -Written tests

Geometry

Common Solids - Nets of cube and cuboid

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

-Sketch nets of cubes and cuboids
-Understand the relationship between nets and solids
-Show interest in nets of solids

-Use boxes with open tops for the activity
-Cut along edges and spread out the faces
-Sketch the shape of the spread faces
-Identify different possible nets for the same solid

How do we use common solids in real life?

-KLB Grade 8 Mathematics pg. 161
-Cardboard boxes
-Scissors
-Drawing materials

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Nets of pyramids
Common Solids - Nets of cylinders

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

-Sketch nets of pyramids
-Understand the components of pyramids
-Value the relationship between nets and solids

-Study pyramids with different base shapes
-Cut pyramids along edges to create nets
-Identify the shapes of faces in the nets
-Draw nets of pyramids with given dimensions

How do nets help us understand solids?

-KLB Grade 8 Mathematics pg. 163
-Pyramid models
-Scissors
-Drawing materials
-KLB Grade 8 Mathematics pg. 164
-Cylindrical objects
-Ruler

-Observation -Oral questions -Written tests

Geometry

Common Solids - Nets of cones

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

-Sketch nets of cones
-Understand the components of cones
-Value the relationship between nets and solids

-Examine conical objects
-Identify the components (circular base and curved surface)
-Draw the net showing the sector for curved surface and circular base
-Calculate the sector angle based on slant height and radius

What determines the shape of a cone's net?

-KLB Grade 8 Mathematics pg. 166
-Conical objects
-Compass
-Drawing materials

-Observation -Oral questions -Written tests

Geometry

Common Solids - Surface area of cubes
Common Solids - Surface area of cuboids

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

-Work out surface area of cubes from nets
-Apply the formula for cube surface area
-Show interest in surface area calculations

-Draw nets of cubes with given dimensions
-Calculate the area of each face (all squares of same size)
-Find the sum of areas of all faces
-Derive and apply the formula: SA = 6a²

How do we calculate the surface area of a cube?

-KLB Grade 8 Mathematics pg. 166
-Cube models
-Calculator
-Drawing materials
-KLB Grade 8 Mathematics pg. 168
-Cuboid models

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Surface area of cylinders

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

-Work out surface area of cylinders from nets
-Apply the formula for cylinder surface area
-Show interest in cylinder properties

-Draw nets of cylinders with given dimensions
-Calculate the area of the circular bases and rectangular curved surface
-Find the sum of areas of all faces
-Derive and apply the formula: SA = 2πr² + 2πrh

How do we calculate the surface area of a cylinder?

-KLB Grade 8 Mathematics pg. 170
-Cylinder models
-Calculator
-Drawing materials

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Surface area of triangular prisms
Common Solids - Distance between points on solid surfaces

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

-Work out surface area of triangular prisms
-Apply appropriate formulas
-Value the properties of prisms

-Draw nets of triangular prisms with given dimensions
-Calculate the area of the triangular bases
-Calculate the area of the rectangular lateral faces
-Find the sum of areas of all faces

What factors affect a prism's surface area?

-KLB Grade 8 Mathematics pg. 171
-Triangular prism models
-Calculator
-Drawing materials
-KLB Grade 8 Mathematics pg. 172
-Solid models
-Ruler
-String

-Observation -Oral questions -Written tests

Geometry

Common Solids - More on distance between points

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

-Solve complex problems involving distance on solid surfaces
-Apply problem-solving strategies
-Value geometric reasoning

-Study complex paths between points on different faces
-Draw nets showing the points and the path between them
-Calculate distances on different parts of the path
-Find the total distance of the path

How do we determine the shortest path between points?

-KLB Grade 8 Mathematics pg. 174
-Solid models
-String
-Calculator

-Observation -Oral questions -Written tests

Geometry

Common Solids - Making models of hollow solids

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

-Make models of hollow solids
-Apply knowledge of nets
-Show interest in model making

-Draw nets of solids on paper or cardboard
-Cut out the nets along outlines
-Fold along internal lines
-Use glue or tape to join edges
-Create hollow models of various solids

How do architects and designers use geometric models?

-KLB Grade 8 Mathematics pg. 175
-Paper/cardboard
-Scissors
-Glue/tape

-Observation -Oral questions -Model creation

Geometry

Common Solids - Making skeleton models
Common Solids - Making compact solid models

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

-Make skeleton models of solids
-Understand edges and vertices
-Value different model types

-Use straws or wires to represent edges
-Use clay or adhesive to connect at vertices
-Create skeleton models of cubes, prisms, pyramids, etc.
-Compare skeleton and hollow models

What insights do skeleton models provide?

-KLB Grade 8 Mathematics pg. 176
-Straws/wires
-Clay/adhesive
-Scissors
-KLB Grade 8 Mathematics pg. 177
-Clay/plasticine
-Containers
-Tools for molding

-Observation -Oral questions -Model creation

Geometry

Common Solids - Applications of solids

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

-Apply knowledge of solids in real-life contexts
-Identify geometric solids in the environment
-Value the importance of geometry in daily life

-Explore applications of different solids in architecture, packaging, art, etc.
-Identify solids in natural and man-made structures
-Discuss the properties that make solids suitable for specific purposes
-Create designs using combinations of solids

How does understanding solids help in everyday life?

-KLB Grade 8 Mathematics pg. 177
-Sample objects
-Digital resources
-Models

-Observation -Oral questions -Written assignments