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SCHEME OF WORK
Mathematics
Form 3 2025
TERM I
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

Opening of scho end of term 3 2024 exams

2 1
Quadratic Expressions and Equations
Factorization of quadratic expressions
Completing squares
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions
Write the perfect squares
Factorize quadratic expression by completing square method
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 1
2 2
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 3
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
2 4
Quadratic Expressions and Equations
Solving quadratic expression by factorization
The quadratic formula
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions
Solve quadratic expressions by factorization
Solve quadratic expressions using the quadratic formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 7
2 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
2 6
Quadratic Expressions and Equations
Formation of quadratic equations
Graphs of quadratic functions
By the end of the lesson, the learner should be able to:
Form a quadratic equation from word problem
Solve the quadratic equation
Draw a table of the quadratic functions
Draw graphs of quadratic functions
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 9-10
2 7
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
3 1
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
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
3 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
3 3
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
3 4
Approximations and Errors
Computing using calculators
Computing using calculators
By the end of the lesson, the learner should be able to:
Solve basic operations using calculators
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 24-26
3 5
Approximations and Errors
Approximation
By the end of the lesson, the learner should be able to:

Approximate values by rounding off
Approximate values by truncation
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 29-30
3 6
Approximations and Errors
Estimation
Accuracy and errors
By the end of the lesson, the learner should be able to:
Approximate values by estimation
Find the absolute error
Find the relative error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 30
3 7
Approximations and Errors
Percentage error
By the end of the lesson, the learner should be able to:

Find the percentage error of a given value
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 32-34
4 1
Approximations and Errors
Rounding off error and truncation error
By the end of the lesson, the learner should be able to:

Find the rounding off error
Find the truncation error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 34
4 2
Approximations and Errors
Propagation of errors
Propagation of errors
By the end of the lesson, the learner should be able to:
Find the propagation of errors in addition and subtraction
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 35-36
4 3
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in multiplication
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
4 4
Approximations and Errors
Propagation of errors
Propagation of errors
By the end of the lesson, the learner should be able to:
Find the propagation of errors in multiplication
Find the propagation of errors in division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
4 5
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 37-38
4 6
Approximations and Errors
Word problems
By the end of the lesson, the learner should be able to:

Find the propagation of errors of a word problem
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 39-40
4 7
Trigonometry (II)
The unit circle
The unit circle
By the end of the lesson, the learner should be able to:
Draw the unit circle
Solve problems using the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 41-42
5 1
Trigonometry (II)
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 44-45
5 2
Trigonometry (II)
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles
By the end of the lesson, the learner should be able to:
Find the trigonometric values of angles
Find the trigonometric values of negative angles
Discussions
Solving
Demonstrating
Explaining
Calculators 
geo boards & graph books
KLB Mathematics
Book Three
Pg 46-47
5 3
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles greater than 3600
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
KLB Mathematics
Book Three
Pg 49-51
5 4
Trigonometry (II)
Use of mathematical tables
Use of mathematical tables
By the end of the lesson, the learner should be able to:
Use mathematical tables to find sine and cosine
Use mathematical tables to find tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
KLB Mathematics
Book Three
Pg 51-55
5 5
Trigonometry (II)
Use of calculators
By the end of the lesson, the learner should be able to:

Use calculators to find sine, cosine and tan
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 56-58
5 6
Trigonometry (II)
Radian measure
By the end of the lesson, the learner should be able to:

Convert degrees to radians and vice versa
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
5 7
Trigonometry (II)
Simple trigonometric graphs
Graphs of cosines
By the end of the lesson, the learner should be able to:
Draw tables for sine of values
Draw graphs of sine functions
Draw tables for cosine of values
Draw graphs of cosine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 62-63
6 1
Trigonometry (II)
Graphs of tan
By the end of the lesson, the learner should be able to:

Draw tables for tan of values
Draw graphs of tan functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 64-65
6 2
Trigonometry (II)
The sine rule
Cosine rule
By the end of the lesson, the learner should be able to:
State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators                                                       
Calculators 
KLB Mathematics
Book Three
Pg 65-70
6 3
Trigonometry (II)
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems on cosines, sines and tan
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 76-77
6 4
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 5
Surds
Surds
Addition of surds
By the end of the lesson, the learner should be able to:
State the order of surds
Simplify surds
Add surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 78-79
6 6
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 7
Surds
Multiplication of surds
Division of surds
By the end of the lesson, the learner should be able to:
Multiply surds
Divide surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80-82
7

Midterm exams and break

8 1
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
8 2
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
8 3
Further Logarithms
Introduction
Laws of logarithms
By the end of the lesson, the learner should be able to:
Use calculators to find the logarithm of numbers
State the laws of logarithms
Use laws of logarithms to solve problems
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 89
8 4
Further Logarithms
Laws of logarithms
By the end of the lesson, the learner should be able to:

State the laws of logarithms
Use laws of logarithms to solve problems
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 90-93
8 5
Further Logarithms
Logarithmic equations and expressions
Logarithmic equations and expressions
By the end of the lesson, the learner should be able to:
Solve the logarithmic equations and expressions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 93-95
8 6
Further Logarithms
Further computation using logarithms
By the end of the lesson, the learner should be able to:

Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 95-96
8 7
Further Logarithms
Further computation using logarithms
Further computation using logarithms
By the end of the lesson, the learner should be able to:
Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 95-96
9 1
Further Logarithms
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving logarithms
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 97
9 2
Further Logarithms
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving logarithms
Discussions Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 97
9 3
Commercial arithmetic
Simple interest
Compound interest
By the end of the lesson, the learner should be able to:
Calculate simple interest
Calculate the compound interest
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 98-99
9 4
Commercial arithmetic
Appreciation
By the end of the lesson, the learner should be able to:

Calculate the appreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 108
9 5
Commercial arithmetic
Depreciation
Hire purchase
By the end of the lesson, the learner should be able to:
Calculate the depreciation value of items
Find the hire purchase
Discussions
Solving
Demonstrating
Explaining
Calculators 
 ,calculator
KLB Mathematics
Book Three
Pg 109
9 6
Commercial arithmetic
Income tax
By the end of the lesson, the learner should be able to:

Calculate the income tax
Discussions
Solving
Demonstrating
Explaining
income tax table ,calculator
KLB Mathematics
Book Three
Pg 112-114
9 7
Commercial arithmetic
P.A.Y.E
By the end of the lesson, the learner should be able to:

Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
Calculators s
KLB Mathematics
Book Three
Pg 114-117
10 1
Circles: Chords and tangents
Length of an arc
Chords
By the end of the lesson, the learner should be able to:
Calculate the length of an arc
Calculate the length of a chord
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 124-125
10 2
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
10 3
Circles: Chords and tangents
Equal chords
Intersecting chords
By the end of the lesson, the learner should be able to:
Find the length of equal chords
Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
10 4
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
10 5
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
10 6
Circles: Chords and tangents
Tangent to a circle
Properties of tangents to a circle from an external point
By the end of the lesson, the learner should be able to:
Calculate the length of tangent
Calculate the angle between tangents
State the properties of tangents to a circle from an external point
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
10 7
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
11 1
Circles: Chords and tangents
Tangents to two circles
Contact of circles
By the end of the lesson, the learner should be able to:
Calculate the tangents of transverse common tangents
Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
11 2
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 3
Circles: Chords and tangents
Problem solving
Angle in alternate segment
By the end of the lesson, the learner should be able to:
Solve problems involving chords, tangents and contact circles
Calculate the angles in alternate segments
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 160-161
11 5
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
11 6
Circles: Chords and tangents
Escribed circles
Centroid
By the end of the lesson, the learner should be able to:
Construct escribed circles
Construct centroid
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165-166
11 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
12

End of term 0ne exams

13

Marking and closing of school


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