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

-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
-KLB Grade 8 Mathematics pg. 60
-KLB Grade 8 Mathematics pg. 61
-Internet access
-KLB Grade 8 Mathematics pg. 62
-Shop setup materials
-KLB Grade 8 Mathematics pg. 64

-Observation -Oral questions -Written assignments

Algebra
Measurements

Linear Equations - Solving linear equations by substitution method
Linear Equations - More on substitution method
Linear Equations - Solving linear equations by elimination method
Linear Equations - More on elimination method
Linear Equations - Applying linear equations in real-life situations
Circles - Working out the circumference of a circle

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
-KLB Grade 8 Mathematics pg. 67
-KLB Grade 8 Mathematics pg. 68
-KLB Grade 8 Mathematics pg. 70
-Internet access
-KLB Grade 8 Mathematics pg. 71
-Circular objects
-Measuring tape or ruler

-Observation -Oral questions -Written assignments

Measurements

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

-Apply knowledge of circumference in real-life contexts
-Calculate the circumference of circular objects
-Value the importance of circles in everyday life

-Discuss and find the circumference of different circular objects in the environment
-Measure diameter and calculate circumference
-Solve real-life problems involving circumference

How do we use circles in real life situations?

-KLB Grade 8 Mathematics pg. 73
-Circular objects
-Digital resources
-Paper
-Pair of compasses
-KLB Grade 8 Mathematics pg. 74
-Protractors
-KLB Grade 8 Mathematics pg. 75
-Scissors
-KLB Grade 8 Mathematics pg. 77
-Graph paper
-KLB Grade 8 Mathematics pg. 79
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Working out the area of a sector
Area - Working out the area of a sector in real life
Area - Working out the surface area of cubes
Area - Working out the surface area of cuboids
Area - Working out the surface area of cylinders
Area - Working out the surface area of triangular prisms

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
-KLB Grade 8 Mathematics pg. 82
-Cube models
-Measuring tools
-KLB Grade 8 Mathematics pg. 84
-Cuboid models
-KLB Grade 8 Mathematics pg. 86
-Cylindrical objects
-Scissors
-KLB Grade 8 Mathematics pg. 87
-Triangular prism models

-Observation -Oral questions -Written assignments

Measurements

Area - Working out the area of irregular shapes
Money - Identifying interest and principal
Money - Calculating simple interest
Money - More on simple interest
Money - Calculating compound interest for one year
Money - Calculating compound interest for two years

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

-Work out the area of irregular shapes using square grids
-Estimate areas by counting grid squares
-Value the importance of area estimation

-Trace irregular shaped objects on square grids
-Count complete and partial squares
-Estimate areas by adding complete squares and half of partial squares
-Compare estimated areas with regular shapes

How do we determine the area of irregular shapes?

-KLB Grade 8 Mathematics pg. 88
-Square grid paper
-Irregular objects
-Tracing paper
-KLB Grade 8 Mathematics pg. 89
-Financial brochures
-Digital resources
-KLB Grade 8 Mathematics pg. 91
-Calculator
-KLB Grade 8 Mathematics pg. 92
-KLB Grade 8 Mathematics pg. 93
-KLB Grade 8 Mathematics pg. 94

-Observation -Oral questions -Written tests

Measurements
Geometry
Geometry

Money - Calculating compound interest for three years
Money - Working out appreciation
Money - Working out depreciation
Money - Working out hire purchase
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:

-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
-KLB Grade 8 Mathematics pg. 97
-KLB Grade 8 Mathematics pg. 98
-Brochures from shops
-KLB Grade 8 Mathematics pg. 100
-Pair of compasses
-Ruler
-Drawing paper
-KLB Grade 8 Mathematics pg. 103
-Set square

-Observation -Oral questions -Written tests

Geometry

Geometrical Constructions - Construction of perpendicular lines from a point
Geometrical Constructions - Construction of perpendicular lines through a point
Geometrical Constructions - Dividing a line proportionally
Geometrical Constructions - Identifying angle properties of polygons
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 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
-KLB Grade 8 Mathematics pg. 106
-Set square
-KLB Grade 8 Mathematics pg. 108
-Polygon models
-Protractor
-Calculator
-KLB Grade 8 Mathematics pg. 112
-KLB Grade 8 Mathematics pg. 113

-Observation -Oral questions -Written assignments

Geometry

Geometrical Constructions - Construction of a regular pentagon
Geometrical Constructions - Construction of a regular hexagon
Geometrical Constructions - Construction of irregular polygons
Geometrical Constructions - Construction of circles passing through vertices
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:

-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
-KLB Grade 8 Mathematics pg. 115
-KLB Grade 8 Mathematics pg. 117
-KLB Grade 8 Mathematics pg. 123
-KLB Grade 8 Mathematics pg. 128
-Graph paper
-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
Coordinates and Graphs - Determining appropriate scale
Coordinates and Graphs - Drawing linear graphs (I)
Coordinates and Graphs - Drawing linear graphs (II)
Coordinates and Graphs - Solving simultaneous equations graphically (I)
Coordinates and Graphs - Solving simultaneous equations graphically (II)
Coordinates and Graphs - Applying simultaneous equations in real life (I)
Coordinates and Graphs - Applying simultaneous equations in real life (II)
Coordinates and Graphs - Solving practical problems using graphs

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
-KLB Grade 8 Mathematics pg. 133
-KLB Grade 8 Mathematics pg. 135
-Pencil
-KLB Grade 8 Mathematics pg. 136
-KLB Grade 8 Mathematics pg. 137
-KLB Grade 8 Mathematics pg. 138
-KLB Grade 8 Mathematics pg. 140
-KLB Grade 8 Mathematics pg. 141
-KLB Grade 8 Mathematics pg. 142

-Observation -Oral questions -Written assignments