Algebra

Algebraic Expressions - Factorization of algebraic expressions
Algebraic Expressions - Factorization using the HCF

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

-Identify like terms in algebraic expressions
-Find the highest common factor of terms in expressions
-Show interest in learning algebraic expressions

-Discuss and identify like and unlike terms in expressions
-Find the highest common factor of terms in algebraic expressions
-Write algebraic expressions for real-life situations

How do we factorize algebraic expressions?

-KLB Grade 8 Mathematics pg. 56
-Algebra tiles
-Digital resources
-KLB Grade 8 Mathematics pg. 57

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Addition and subtraction of algebraic fractions
Algebraic Expressions - Simplification of algebraic fractions by factorization

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

-Add algebraic fractions
-Subtract algebraic fractions
-Show interest in working with algebraic fractions

-Discuss and use the correct methods to add algebraic fractions
-Find the LCM of denominators in algebraic fractions
-Practice addition and subtraction of algebraic fractions

How do we simplify algebraic expressions?

-KLB Grade 8 Mathematics pg. 58
-Algebra charts
-Digital resources
-KLB Grade 8 Mathematics pg. 59

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions
Algebraic Expressions - Applications of algebraic expressions

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

-Evaluate algebraic expressions by substituting values
-Apply substitution to solve problems
-Show interest in evaluating expressions

-Discuss how to substitute given numerical values in expressions
-Practice evaluating expressions with given values
-Apply substitution to real-life situations

How do we evaluate algebraic expressions?

-KLB Grade 8 Mathematics pg. 60
-Algebra charts
-Digital resources
-KLB Grade 8 Mathematics pg. 61
-Internet access

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Forming linear equations in two unknowns
Linear Equations - Forming related linear equations

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

-Form linear equations in two unknowns
-Translate word problems into equations
-Show interest in linear equations

-Role play activities such as shopping on two different items to form linear equations
-Represent price of items using letters
-Form equations from real-life situations

How do we solve linear equations in two unknowns?

-KLB Grade 8 Mathematics pg. 62
-Shop setup materials
-Digital resources
-KLB Grade 8 Mathematics pg. 64

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by substitution method

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

-Solve linear equations using substitution method
-Apply the method to solve simultaneous equations
-Show interest in using substitution method

-Express one unknown in terms of the other
-Substitute the expression in the other equation
-Practice solving equations using substitution method

How do we solve linear equations in two unknowns?

-KLB Grade 8 Mathematics pg. 66
-Equation charts
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - More on substitution method
Linear Equations - Solving linear equations by elimination method

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

-Apply substitution method to various equations
-Solve complex simultaneous equations
-Appreciate the substitution method

-Solve different types of linear equations using substitution
-Apply substitution method to practical problems
-Compare solutions with other methods

How do we apply substitution method to different equations?

-KLB Grade 8 Mathematics pg. 67
-Equation charts
-Digital resources
-KLB Grade 8 Mathematics pg. 68

-Observation -Oral questions -Written tests

Algebra

Linear Equations - More on elimination method
Linear Equations - Applying linear equations in real-life situations

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

-Apply elimination method to various equations
-Solve complex simultaneous equations
-Appreciate the elimination method

-Solve different types of linear equations using elimination
-Apply elimination method to practical problems
-Compare elimination with substitution method

When do we prefer elimination over substitution?

-KLB Grade 8 Mathematics pg. 70
-Equation charts
-Digital resources
-Internet access

-Observation -Oral questions -Written tests

Measurements

Circles - Working out the circumference of a circle
Circles - Working out the circumference of circles in real life

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

-Work out the circumference of a circle
-Apply the formula for circumference in calculations
-Show interest in learning about circles

-Wrap a paper strip around a cylinder and mark the start and end points
-Measure the distance between the marked points
-Calculate circumference using the formula C = πd
-Solve real-life problems involving circumference

How do we determine the circumference of a circle?

-KLB Grade 8 Mathematics pg. 71
-Circular objects
-Measuring tape or ruler
-KLB Grade 8 Mathematics pg. 73
-Digital resources

-Observation -Oral questions -Written assignments

Measurements

Circles - Working out the length of an arc

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

-Work out the length of an arc of a circle
-Apply the formula for arc length in calculations
-Show interest in arc lengths

-Draw a circle and cut it out
-Fold the cut-out into four equal parts
-Relate the arc length to the circumference
-Calculate arc length using the formula
-Use cut-outs to relate arc length to the circumference

How do we determine the length of an arc of a circle?

-KLB Grade 8 Mathematics pg. 73
-Paper
-Pair of compasses

-Observation -Oral questions -Written assignments

Measurements

Circles - Working out the length of an arc in real life
Circles - Calculating the perimeter of a sector

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

-Apply knowledge of arc length in real-life contexts
-Calculate arc lengths in various scenarios
-Appreciate the use of arcs in daily life

-Calculate arc lengths for different angles
-Solve real-life problems involving arc lengths
-Discuss practical applications of arc lengths

How do we use arcs in real life situations?

-KLB Grade 8 Mathematics pg. 74
-Circular objects
-Protractors
-KLB Grade 8 Mathematics pg. 75
-Paper
-Pair of compasses
-Scissors

-Observation -Oral questions -Written tests

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

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
-KLB Grade 8 Mathematics pg. 81
-Sector models

-Observation -Oral questions -Written assignments

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
Money - Calculating simple interest

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
-KLB Grade 8 Mathematics pg. 91
-Calculator

-Observation -Oral questions -Written assignments

Measurements

Money - More on simple interest
Money - Calculating compound interest for one year

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

-Solve complex problems involving simple interest
-Find unknown values in interest calculations
-Show interest in financial calculations

-Calculate unknown principal, rate, or time given other values
-Apply simple interest formula in reverse
-Solve real-life problems involving simple interest

How do we calculate simple interest for different time periods?

-KLB Grade 8 Mathematics pg. 92
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 93

-Observation -Oral questions -Written assignments

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
Money - Working out hire purchase

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
-KLB Grade 8 Mathematics pg. 98
-Brochures from shops

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Construction of parallel lines
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 pair of compasses
-Apply parallel line construction in real-life situations
-Show interest in constructing parallel lines

-Draw line AB and point C above the line
-With C as center and radius length AB, draw an arc above line AB
-With B as center and radius length AC, draw an arc to cut the first arc at D
-Join C to D to form a line parallel to AB

How do we construct polygons?

-KLB Grade 8 Mathematics pg. 100
-Pair of compasses
-Ruler
-Drawing paper
-KLB Grade 8 Mathematics pg. 103
-Set square

-Observation -Oral questions -Written assignments

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
Geometrical Constructions - Construction of a regular triangle

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
-KLB Grade 8 Mathematics pg. 112
-Pair of compasses
-Ruler

-Observation -Oral questions -Written tests

Geometry

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

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

-Construct a regular quadrilateral (square)
-Apply square construction in real-life situations
-Show interest in regular quadrilaterals

-Draw line AB of required length
-Construct perpendicular lines at A and B
-With A as center and radius equal to side length, mark point D on the perpendicular
-With B as center and radius equal to side length, mark point C on the perpendicular
-Join D to C to complete the square

What are the applications of regular polygons?

-KLB Grade 8 Mathematics pg. 113
-Pair of compasses
-Ruler
-Set square
-KLB Grade 8 Mathematics pg. 114
-Protractor

-Observation -Oral questions -Written tests

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
Coordinates and Graphs - Identifying points on the 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
-KLB Grade 8 Mathematics pg. 129
-Cartesian plane charts

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Plotting points on the Cartesian plane
Coordinates and Graphs - Generating table of values for linear equations

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

-Plot points on the Cartesian plane
-Apply coordinate plotting in real-life situations
-Show interest in coordinate systems

-Draw a Cartesian plane with appropriate scale
-Given ordered pairs, locate the x-coordinate on the x-axis
-Locate the y-coordinate on the y-axis
-Mark the point where the vertical and horizontal lines from these coordinates meet

Why are coordinates important in real life?

-KLB Grade 8 Mathematics pg. 130
-Graph paper
-Ruler
-Digital resources
-KLB Grade 8 Mathematics pg. 131
-Exercise books
-Calculator

-Observation -Oral questions -Written assignments

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

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
-KLB Grade 8 Mathematics pg. 137

-Observation -Oral questions -Written assignments

Geometry

Coordinates and Graphs - Solving simultaneous equations graphically (II)

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

-Solve more complex simultaneous equations
-Determine accurate solutions from graphs
-Show interest in solution techniques

-Generate tables of values for equations with different forms
-Plot both equations on the same Cartesian plane
-Identify the point of intersection with precision
-Interpret the meaning of the solution

What are the advantages of graphical solutions?

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

-Observation -Oral questions -Written assignments

Geometry

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

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
-KLB Grade 8 Mathematics pg. 141

-Observation -Oral questions -Written tests

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
Scale Drawing - Converting scale length to actual 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
-KLB Grade 8 Mathematics pg. 147
-Scale drawings
-Ruler

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Interpreting linear scales in statement form

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

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

-Analyze diagrams with given actual and scale lengths
-Determine the relationship between actual and scale lengths
-Express the scale in statement form: "1 cm represents x units"
-Apply the scale to find other measurements

What does a scale statement tell us?

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

-Observation -Oral questions -Written tests

Geometry

Scale Drawing - Writing linear scales in statement form
Scale Drawing - Interpreting linear scales in ratio 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
-KLB Grade 8 Mathematics pg. 150
-Scale diagrams
-Ruler

-Observation -Oral questions -Written assignments

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
Scale Drawing - Making scale drawings (I)

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

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Making scale drawings (II)
Scale Drawing - Solving problems using scale drawings

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

-Make more complex scale drawings
-Apply scale drawing principles
-Show interest in scale drawing applications

-Measure objects with irregular or complex shapes
-Choose suitable scales based on drawing space and object size
-Convert actual measurements to scale lengths
-Create detailed and accurate scale drawings

How do professionals use scale drawings?

-KLB Grade 8 Mathematics pg. 156
-Drawing paper
-Ruler
-Protractor
-KLB Grade 8 Mathematics pg. 157
-Scale drawings
-Calculator

-Observation -Oral questions -Written assignments

Geometry

Scale Drawing - Applications of scale drawings

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

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Identification of common solids
Common Solids - Characteristics of common solids

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

-Identify common solids from the environment
-Classify solids based on properties
-Show interest in geometric solids

-Collect solids of different shapes from the environment
-Group them according to their shapes
-Count the number of faces, edges, and vertices in each solid
-Classify solids as polyhedra or non-polyhedra

What are common solids?

-KLB Grade 8 Mathematics pg. 158
-Common solid objects
-Digital resources
-KLB Grade 8 Mathematics pg. 160
-Solid models

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Nets of cube and cuboid
Common Solids - Nets of pyramids

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
-KLB Grade 8 Mathematics pg. 163
-Pyramid models

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Nets of cylinders
Common Solids - Nets of cones

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

-Sketch nets of cylinders
-Understand the components of cylinders
-Show interest in cylinder properties

-Examine cylindrical objects
-Identify the components (circular bases and curved surface)
-Draw the net showing the rectangular curved surface and circular bases
-Calculate dimensions of the rectangular part from the cylinder's radius and height

How does a cylinder's net relate to its dimensions?

-KLB Grade 8 Mathematics pg. 164
-Cylindrical objects
-Ruler
-Drawing materials
-KLB Grade 8 Mathematics pg. 166
-Conical objects
-Compass

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Surface area of cubes

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

-Observation -Oral questions -Written assignments

Geometry

Common Solids - Surface area of cuboids
Common Solids - Surface area of cylinders

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

-Work out surface area of cuboids from nets
-Apply the formula for cuboid surface area
-Value surface area applications

-Draw nets of cuboids with given dimensions
-Calculate the area of each rectangular face
-Find the sum of areas of all faces
-Derive and apply the formula: SA = 2(lb + lh + bh)

What's the relationship between dimensions and surface area?

-KLB Grade 8 Mathematics pg. 168
-Cuboid models
-Calculator
-Drawing materials
-KLB Grade 8 Mathematics pg. 170
-Cylinder models

-Observation -Oral questions -Written tests

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
Common Solids - Making models of hollow solids

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

-Observation -Oral questions -Written tests

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