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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 1
Quadratic Expressions and Equations
Expansion of Algebraic Expressions
Quadratic identities
By the end of the lesson, the learner should be able to:
expand algebraic expressions

derive the three Algebraic identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 203
1 2
Quadratic Expressions and Equations
Application of identities
Factorise the Identities
By the end of the lesson, the learner should be able to:
identify and use the three Algebraic identities
factorise the identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 204-205
1 3
Quadratic Expressions and Equations
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2
By the end of the lesson, the learner should be able to:
factorise quadratic expressions
factorise a difference of two squares
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Chart illustrating factorization of a quadratic expression
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 119-122
1 4
Quadratic Expressions and Equations
Simplification of an expression by factorisation
Solving quadratic equations
By the end of the lesson, the learner should be able to:
simplify a quadratic expression by factorisation
solve quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
1 5
Quadratic Expressions and Equations
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
By the end of the lesson, the learner should be able to:
form quadratic equations from information
form and solve quadratic equations from word problems
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208
1 6
Quadratic Expressions and Equations
Solving on quadratic equations
Forming quadratic equations from the roots
By the end of the lesson, the learner should be able to:
solve problems on quadratic equations
form quadratic equations given the roots of the equation
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208-210
2 1
Linear Inequalities
Inequalities symbols
Number line
By the end of the lesson, the learner should be able to:
identify and use inequality symbols
illustrate inequalities on a number line
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
2 2
Linear Inequalities
Inequalities in one unknown
Graphical representation
By the end of the lesson, the learner should be able to:
solve linear inequalities in one unknown and state the integral values
represent linear inequalities in one unknown graphically
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
Number lines Graph papers
KLB Maths Bk2 Pg. 213-224
2 3
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
Graphical solutions of simultaneous linear inequalities
By the end of the lesson, the learner should be able to:
solve the linear inequalities in two unknowns graphically
solve simultaneous linear inequalities graphically
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
2 4
Linear Inequalities
Area of the wanted region
Inequalities from inequality graphs
By the end of the lesson, the learner should be able to:
calculate the area of the wanted region
form simple linear inequalities from inequality graphs
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
2 5
Linear Inequalities
Linear Motion
Problem solving.
Displacement, velocity, speed and acceleration
By the end of the lesson, the learner should be able to:
solve problems on linear inequalities
Define displacement, speed velocity and acceleration
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Teacher/pupil discussion
Plotting graphs
Drawing graphs
Number lines
Graph papers
Square boards
Negative and positive
numbers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224
2 6
Linear Motion
Distinguishing terms
Distinguishing velocity and acceleration
By the end of the lesson, the learner should be able to:
distinguish between distance and displacement, speed and velocity
determine velocity and acceleration
Plotting graphs
Drawing graphs
Learners determine velocity and acceleration
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 228-238
3 1
Linear Motion
Distance time graphs
Interpret the velocity time graph
By the end of the lesson, the learner should be able to:

plot and draw the distance time graphs
interpret a velocity time graph
Plotting graphs
Drawing graphs
Learners interpret a velocity time graph
Graph papers
Stones
Pieces of paper
Drawn graphs
KLB Maths Bk2 Pg. 228-238
3 2
Linear Motion
Interpreting graphs
Relative speed (objects moving in the same direction)
By the end of the lesson, the learner should be able to:
interpret graphs of linear motion

solve problems on objects moving in different directions
Learners interpret graphs
Teacher/pupil discussion
Drawn graphs
Real life situation
Chalkboard illustrations
KLB
Maths Bk2
Pg.334
3 3
Linear Motion
Statistics
Problem solving
Definition
By the end of the lesson, the learner should be able to:

solve problems on linear motion
definestatistics
Question answer method
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Past paper questions
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB
Maths Bk2
Pg.330
3 4
Statistics
Collection and organization of data
Frequency tables
By the end of the lesson, the learner should be able to:
collect and organize data

draw a frequency distribution table
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
3 5
Statistics
Grouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:
group data into reasonable classes
calculate the mean of ungrouped data
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
3 6
Statistics
Median of ungrouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:
calculate the median of ungrouped data and state the mode
calculate the mean of a grouped data
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
4 1
Statistics
Median of a grouped data modal class
Data Representation. Line graphs
By the end of the lesson, the learner should be able to:

state the modal class and calculate the median of a grouped data.
represent data in form of a line graph
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
4 2
Statistics
Bar graphs
Pictogram
By the end of the lesson, the learner should be able to:
represent data in form of a bar graph
represent data in form of pictures
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Pictures which are whole, half, quarter
KLB Maths Bk2 Pg. 241-252
4 3
Statistics
Histograms
Frequency polygons
By the end of the lesson, the learner should be able to:
represent data in form of histograms
represent data in form of frequency polygons
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data
KLB Maths Bk2 Pg. 241-252
4 4
Statistics
Histograms with uneven distribution
Interpretation of data
By the end of the lesson, the learner should be able to:

draw histograms with uneven distribution
interpret data from real life situation
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Data with uneven classes
Real life situations
KLB Maths Bk2 Pg. 241-252
4 5
Statistics
Angle Properties of a Circle
Problem solving
Arc chord segment
By the end of the lesson, the learner should be able to:

solve problems on statistics
identify an arc, chord and segment
Problem solving
Discussions
Drawing circles
Measuring radii/
diameters/angles
Identifying the parts of a
circle
Past paper questions
Chart illustrating arc chord and segment
KLB Maths Bk2 Pg. 241-252
4 6
Angle Properties of a Circle
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference
By the end of the lesson, the learner should be able to:

relate and compute angles subtended by an arc of a circle at the circumference
relateandcomputeanglesubtendedbyanarcofacentreandatthecircumference
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Chart illustrating Angles subtended by the same arc in same segment are equal
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
KLB Maths Bk2 Pg. 264-278
5 1
Angle Properties of a Circle
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

state the angle in the semi-circle
statetheanglepropertiesofacyclicquadrilateral
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
5 2
Angle Properties of a Circle
Cyclic quadrilateral
Exterior angle property
By the end of the lesson, the learner should be able to:

find and compute angles of a cyclic quadrilateral
applytheexteriorangleproperty
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
5 3
Angle Properties of a Circle
Problem solving
Problem solving
By the end of the lesson, the learner should be able to:

solve problems on angle properties of a circle
state all the properties and use them selectively to solve missing angles.
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts Past paper questions
different parts Past paper questions
KLB Maths Bk2 Pg. 264-278
5 4
Vectors
Definition and Representation of vectors
Equivalent vectors
By the end of the lesson, the learner should be able to:
define a vector and a scalar, use vector notation and represent vectors.
identify equivalent vectors
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 284-285
5 5
Vectors
Addition of vectors
Multiplication of vectors
By the end of the lesson, the learner should be able to:
add vectors
multiply a vector and a scalar
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 286-289
5 6
Vectors
Position vectors
Column vector
By the end of the lesson, the learner should be able to:

define a position vector
illustrate position vectors on a Cartesian plane
writeavectorasacolumnvector
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg.298
6 1
Vectors
Magnitude of a vector
Mid - point
By the end of the lesson, the learner should be able to:
find the magnitude of a vector
calculate the midpoint of a vector
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 301
6 2
Vectors
Quadratic Expressions and Equations
Translation vector
Factorization of quadratic expressions
By the end of the lesson, the learner should be able to:

find the translation vector given the object and the image
Factorize quadratic expressions
Write the perfect squares
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
Discussions
Solving
Demonstrating
Explaining
1x2 matrices
Graph papers
Square boards
Ruler
calculators
KLB Maths Bk2 Pg.304
6 3
Quadratic Expressions and Equations
Completing squares
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
6 4
Quadratic Expressions and Equations
Solving quadratic expression by completing square
Solving quadratic expression by factorization
By the end of the lesson, the learner should be able to:
Factorize quadratic expressions
Solve quadratic expressions by completing square
Solve quadratic expressions by factorization
Discussions
Solving
Demonstrating
Explaining
Calculators  
Calculators 
KLB Mathematics
Book Three
Pg 5-6
6 5
Quadratic Expressions and Equations
The quadratic formula
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
6 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
7 1
Quadratic Expressions and Equations
Graphs of quadratic functions
Graphical solutions of quadratic equation
By the end of the lesson, the learner should be able to:
Draw a table of the quadratic functions
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
7 2
Quadratic Expressions and Equations
Graphical solutions of quadratic equation
Graphical solutions of simultaneous equations
By the end of the lesson, the learner should be able to:
Draw graphs of quadratic functions
Solve quadratic equations using the graphs
Draw tables for simultaneous equations
Find the graphical solutions of simultaneous equations
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 17-19
7 3
Quadratic Expressions and Equations
Approximations and Errors
Further graphical solutions
Computing using calculators
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
Solve basic operations using calculators
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboards
Calculators 
KLB Mathematics
Book Three
Pg 21-23
7 4
Approximations and Errors
Computing using calculators
Approximation
By the end of the lesson, the learner should be able to:
Solve basic operations using calculators
Approximate values by rounding off
Approximate values by truncation
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 26-28
7 5
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
7 6
Approximations and Errors
Percentage error
Rounding off error and truncation error
By the end of the lesson, the learner should be able to:
Find the percentage error of a given value
Find the rounding off error
Find the truncation error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 32-34
8

Half term

9 1
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
9 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 multiplication
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
9 3
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 division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 37-38
9 4
Approximations and Errors
Trigonometry (II)
Word problems
The unit circle
By the end of the lesson, the learner should be able to:
Find the propagation of errors of a word problem
Draw the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 39-40
9 5
Trigonometry (II)
The unit circle
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:
Solve problems using the unit circle
Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 43-44
9 6
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
10 1
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
Use of mathematical tables
By the end of the lesson, the learner should be able to:
Find the trigonometric values of angles greater than 3600
Use mathematical tables to find sine and cosine
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
mathematical tables
KLB Mathematics
Book Three
Pg 49-51
10 2
Trigonometry (II)
Use of mathematical tables
Use of calculators
By the end of the lesson, the learner should be able to:
Use mathematical tables to find tan
Use calculators to find sine, cosine and tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
calculators
KLB Mathematics
Book Three
Pg 55-56
10 3
Trigonometry (II)
Radian measure
Simple trigonometric graphs
By the end of the lesson, the learner should be able to:
Convert degrees to radians and vice versa
Draw tables for sine of values
Draw graphs of sine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
10 4
Trigonometry (II)
Graphs of cosines
Graphs of tan
By the end of the lesson, the learner should be able to:
Draw tables for cosine of values
Draw graphs of cosine functions
Draw tables for tan of values
Draw graphs of tan functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 63-64
10 5
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
10 6
Trigonometry (II)
Surds
Problem solving
Rational and irrational numbers
By the end of the lesson, the learner should be able to:
Solve problems on cosines, sines and tan
Classify numbers as rational and irrational numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 76-77
11 1
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
11 2
Surds
Subtraction of surds
Multiplication of surds
By the end of the lesson, the learner should be able to:
Subtract surds
Multiply surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 80
11 3
Surds
Division of surds
Rationalizing the denominator
By the end of the lesson, the learner should be able to:
Divide surds
Rationalize the denominator
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 81-82
11 4
Surds
Further Logarithms
Solving problem
Introduction
By the end of the lesson, the learner should be able to:
Solve problems on surds
Use calculators to find the logarithm of numbers
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 87-88
11 5
Further Logarithms
Laws of 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
11 6
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
12 1
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
12 2
Further Logarithms
Further computation using 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 95-96
12 3
Further Logarithms
Commercial arithmetic
Problem solving
Simple interest
By the end of the lesson, the learner should be able to:
Solve problems involving logarithms
Calculate simple interest
Discussions Solving
Demonstrating
Explaining
Discussions
Solving
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 97
12 4
Commercial arithmetic
Compound interest
Appreciation
By the end of the lesson, the learner should be able to:
Calculate the compound interest
Calculate the appreciation value of items
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 102-106
12 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
12 6
Commercial arithmetic
Income tax
P.A.Y.E
By the end of the lesson, the learner should be able to:
Calculate the income tax
Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
income tax table ,calculator
Calculators s
KLB Mathematics
Book Three
Pg 112-114

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