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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
2 1
Quadratic Expressions and Equations
Factorization of quadratic expressions
By the end of the lesson, the learner should be able to:

Factorize quadratic expressions
Write the perfect squares
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 1
2 2
Quadratic Expressions and Equations
Factorization of quadratic expressions
By the end of the lesson, the learner should be able to:

Factorize quadratic expressions
Write the perfect squares
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 1
2 3
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:

Factorize quadratic expression by completing square method
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 1-2
2 4
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:

Factorize quadratic expression by completing square method
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 1-2
2 5
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:

Factorize quadratic expression by completing square method
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 3-4
2 6
Quadratic Expressions and Equations
Completing squares
By the end of the lesson, the learner should be able to:

Factorize quadratic expression by completing square method
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 3-4
2 7
Quadratic Expressions and Equations
Solving quadratic expression by completing square
By the end of the lesson, the learner should be able to:

Factorize quadratic expressions
Solve quadratic expressions by completing square
Discussions
Solving
Demonstrating
Explaining
Calculators  
KLB Mathematics
Book Three
Pg 5-6
3 1
Quadratic Expressions and Equations
Solving quadratic expression by factorization
By the end of the lesson, the learner should be able to:

Factorize quadratic expressions
Solve quadratic expressions by factorization
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7
3 2
Quadratic Expressions and Equations
Solving quadratic expression by factorization
By the end of the lesson, the learner should be able to:

Factorize quadratic expressions
Solve quadratic expressions by factorization
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7
3 3
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:

Solve quadratic expressions using the quadratic formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7-9
3 4
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:

Solve quadratic expressions using the quadratic formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7-9
3 5
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:

Solve quadratic expressions using the quadratic formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7-9
3 6
Quadratic Expressions and Equations
The quadratic formula
By the end of the lesson, the learner should be able to:

Solve quadratic expressions using the quadratic formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7-9
3 7
Quadratic Expressions and Equations
Formation of quadratic equations
By the end of the lesson, the learner should be able to:

Form a quadratic equation from word problem
Solve the quadratic equation
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 9-10
4 1
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:

Draw a table of the quadratic functions
Draw graphs of quadratic functions
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
4 2
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:

Draw a table of the quadratic functions
Draw graphs of quadratic functions
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
4 3
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:

Draw a table of the quadratic functions
Draw graphs of quadratic functions
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
4 4
Quadratic Expressions and Equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:

Draw a table of the quadratic functions
Draw graphs of quadratic functions
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
4 5
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:

Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 15-17
4 6
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:

Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 15-17
4 7
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:

Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 17-19
5 1
Quadratic Expressions and Equations
Graphical solutions of simultaneous equations
By the end of the lesson, the learner should be able to:

Draw tables for simultaneous equations
Find the graphical solutions of simultaneous equations
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 19-21
5 2
Quadratic Expressions and Equations
Graphical solutions of simultaneous equations
By the end of the lesson, the learner should be able to:

Draw tables for simultaneous equations
Find the graphical solutions of simultaneous equations
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 19-21
5 3
Quadratic Expressions and Equations
Graphical solutions of simultaneous equations
By the end of the lesson, the learner should be able to:

Draw tables for simultaneous equations
Find the graphical solutions of simultaneous equations
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 19-21
5 4
Quadratic Expressions and Equations
Further graphical solutions
By the end of the lesson, the learner should be able to:

Draw tables of other related quadratic equations
Solve other related quadratic functions graphically
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboards
KLB Mathematics
Book Three
Pg 21-23
5 5
Quadratic Expressions and Equations
Further graphical solutions
By the end of the lesson, the learner should be able to:

Draw tables of other related quadratic equations
Solve other related quadratic functions graphically
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboards
KLB Mathematics
Book Three
Pg 21-23
5 6
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:

Classify numbers as rational and irrational numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78
5 7
Surds
Rational and irrational numbers
By the end of the lesson, the learner should be able to:

Classify numbers as rational and irrational numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78
6 1
Surds
Surds
By the end of the lesson, the learner should be able to:

State the order of surds
Simplify surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78-79
6 2
Surds
Addition of surds
By the end of the lesson, the learner should be able to:

Add surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 79-80
6 3
Surds
Addition of surds
By the end of the lesson, the learner should be able to:

Add surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 79-80
6 4
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:

Subtract surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
6 5
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:

Subtract surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
6 6
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:

Multiply surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80-82
6 7
Surds
Multiplication of surds
By the end of the lesson, the learner should be able to:

Multiply surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80-82
7 1
Surds
Division of surds
By the end of the lesson, the learner should be able to:

Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 81-82
7 2
Surds
Division of surds
By the end of the lesson, the learner should be able to:

Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 81-82
7 3
Surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:

Rationalize the denominator
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 85-87
7 4
Surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:

Rationalize the denominator
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 85-87
7 5
Surds
Solving problem
By the end of the lesson, the learner should be able to:

Solve problems on surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 87-88
7 6
Circles: Chords and tangents
Length of an arc
By the end of the lesson, the learner should be able to:

Calculate the length of an arc
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
KLB Mathematics
Book Three
Pg 124-125
7 7
Circles: Chords and tangents
Length of an arc
By the end of the lesson, the learner should be able to:

Calculate the length of an arc
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
KLB Mathematics
Book Three
Pg 124-125
8 1
Circles: Chords and tangents
Chords
By the end of the lesson, the learner should be able to:

Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 126-128
8 2
Circles: Chords and tangents
Chords
By the end of the lesson, the learner should be able to:

Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 126-128
8 3
Circles: Chords and tangents
Parallel chords
By the end of the lesson, the learner should be able to:

Calculate the perpendicular bisector
Find the value of parallel chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
8 4
Circles: Chords and tangents
Parallel chords
By the end of the lesson, the learner should be able to:

Calculate the perpendicular bisector
Find the value of parallel chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
8 5
Circles: Chords and tangents
Equal chords
By the end of the lesson, the learner should be able to:

Find the length of equal chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
8 6
Circles: Chords and tangents
Equal chords
By the end of the lesson, the learner should be able to:

Find the length of equal chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
8 7
Circles: Chords and tangents
Intersecting chords
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 132-135
9 1
Circles: Chords and tangents
Intersecting chords
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
9 2
Circles: Chords and tangents
Intersecting chords
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
9 3
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

Construct a tangent to a circle
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 139-140
9 4
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

Construct a tangent to a circle
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 139-140
9 5
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

Calculate the length of tangent
Calculate the angle between tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
9 6
Circles: Chords and tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:

Calculate the length of tangent
Calculate the angle between tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
9 7
Circles: Chords and tangents
Properties of tangents to a circle from an external point
By the end of the lesson, the learner should be able to:

State the properties of tangents to a circle from an external point
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 142-144
10 1
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
10 2
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
10 3
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
10 4
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of transverse common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
10 5
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of transverse common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
10 6
Circles: Chords and tangents
Contact of circles
By the end of the lesson, the learner should be able to:

Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 151-153
10 7
Circles: Chords and tangents
Contact of circles
By the end of the lesson, the learner should be able to:

Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 153-154
11 1
Circles: Chords and tangents
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
11 2
Circles: Chords and tangents
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
11 3
Circles: Chords and tangents
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
11 4
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 157-160
11 5
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 157-160
11 6
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 160-161
11 7
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 160-161
12 1
Circles: Chords and tangents
Circumscribed circle
By the end of the lesson, the learner should be able to:

Construct circumscribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165
12 2
Circles: Chords and tangents
Circumscribed circle
By the end of the lesson, the learner should be able to:

Construct circumscribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165
12 3
Circles: Chords and tangents
Escribed circles
By the end of the lesson, the learner should be able to:

Construct escribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165-166
12 4
Circles: Chords and tangents
Centroid
By the end of the lesson, the learner should be able to:

Construct centroid
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 166
12 5
Circles: Chords and tangents
Centroid
By the end of the lesson, the learner should be able to:

Construct centroid
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 166
12 6
Circles: Chords and tangents
Orthocenter
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 167
12 7
Circles: Chords and tangents
Orthocenter
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 167

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