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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
1 2
Statistics
Definition
By the end of the lesson, the learner should be able to:

define statistics
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
1 3
Statistics
Collection and organization of data
Frequency tables
By the end of the lesson, the learner should be able to:
collect and organize 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
1 4
Statistics
Grouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:
group data into reasonable classes
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
1 5
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
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
1 6
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.
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
1 7
Statistics
Bar graphs
Pictogram
By the end of the lesson, the learner should be able to:
represent data in form of a bar 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
Pictures which are whole, half, quarter
KLB Maths Bk2 Pg. 241-252
2 1
Statistics
Histograms
Frequency polygons
By the end of the lesson, the learner should be able to:
represent data in form of histograms
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
2 2
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
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
2 3
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
Problem solving
Past paper questions
Chart illustrating arc chord and segment
KLB Maths Bk2 Pg. 241-252
2 4
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
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
2 5
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
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
2 6
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
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
2 7
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
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
3 1
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.
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 284-285
3 2
Vectors
Addition of vectors
Multiplication of vectors
By the end of the lesson, the learner should be able to:
add vectors
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 286-289
3 3
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
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg.298
3 4
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
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 301
3 5
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
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
calculators
KLB Maths Bk2 Pg.304
3 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 1-2
3 7
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
Discussions
Solving
Demonstrating
Explaining
Calculators  
Calculators 
KLB Mathematics
Book Three
Pg 5-6
4 1
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
4 2
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
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 9-10
4 3
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
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 12-15
4 4
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
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboard
KLB Mathematics
Book Three
Pg 17-19
4 5
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
Discussions
Solving
Demonstrating
Explaining
graph papers & geoboards
Calculators 
KLB Mathematics
Book Three
Pg 21-23
4 6
Approximations and Errors
Computing using calculators
Approximation
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 26-28
4 7
Approximations and Errors
Estimation
Accuracy and errors
By the end of the lesson, the learner should be able to:

Approximate values by estimation
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 30
5 1
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 32-34
5 2
Approximations and 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
5 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
5 4
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
5 5
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 39-40
5 6
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
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 43-44
5 7
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
Discussions
Solving
Demonstrating
Explaining
Calculators 
geo boards & graph books
KLB Mathematics
Book Three
Pg 46-47
6 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
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
mathematical tables
KLB Mathematics
Book Three
Pg 49-51
6 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
Discussions
Solving
Demonstrating
Explaining
mathematical tables
calculators
KLB Mathematics
Book Three
Pg 55-56
6 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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
6 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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 63-64
6 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
6 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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 76-77
6 7
Surds
Surds
Addition of 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
7 1
Surds
Subtraction of surds
Multiplication 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
7 2
Surds
Division of surds
Rationalizing the denominator
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
Circles: Chords and tangents
Solving problem
Length of an arc
By the end of the lesson, the learner should be able to:

Solve problems on surds
Discussions
Solving
Demonstrating
Explaining
Calculators 
Geometrical set,calculator
KLB Mathematics
Book Three
Pg 87-88
7 4
Circles: Chords and tangents
Chords
Parallel 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
7 5
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
7 6
Circles: Chords and tangents
Intersecting chords
Tangent to a circle
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
7 7
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
8 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
8 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 151-153
8 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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
8-9

Midterm exam

9

Midterm break

9 7
Circles: Chords and tangents
Angle in alternate segment
Circumscribed circle
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
10 1
Circles: Chords and tangents
Escribed circles
Centroid
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
10 2
Circles: Chords and tangents
Matrices
Orthocenter
Matrix representation and order of matrix
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
Chart showing tabular data
KLB Mathematics
Book Three
Pg 167
10 3
Matrices
Addition of matrix
Subtraction of matrices
By the end of the lesson, the learner should be able to:

Add matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 170
10 4
Matrices
Combined addition and subtraction of matrices
Matrix multiplication
By the end of the lesson, the learner should be able to:

Perform the combined operation on matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171-174
10 5
Matrices
Matrix multiplication
Identity matrix
By the end of the lesson, the learner should be able to:

Multiply matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 176-179
10 6
Matrices
Determinant of a 2
Inverse of a 2
By the end of the lesson, the learner should be able to:

Find the determinant of a 2
Discussions
Solving
Demonstrating
Explaining
Calculator
KLB Mathematics
Book Three
Pg 183
10 7
Matrices
Inverse of a 2
Solutions of simultaneous equations by matrix method
By the end of the lesson, the learner should be able to:

Calculate the inverse of a 2
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 186-187
11 1
Matrices
Solutions of simultaneous equations by matrix method
Problem solving
By the end of the lesson, the learner should be able to:

Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 188-190
11 2
Formulae and variations
Formulae
Direct variation
By the end of the lesson, the learner should be able to:

Make subject of the given formula
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 191-193
11 3
Formulae and variations
Inverse variation
Partial variation
By the end of the lesson, the learner should be able to:

Solve problems involving inverse variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 197-200
11 4
Formulae and variations
Joint variation
By the end of the lesson, the learner should be able to:

Solve problems involving join variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 204-205
11 5
Sequences and series
Sequences
Arithmetic sequences
By the end of the lesson, the learner should be able to:

Find the next terms
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 207-208
11 6
Sequences and series
Geometric sequence
Arithmetic series
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric sequence
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 211-213
11 7
Sequences and series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 216-219
12 1
Vectors II
Coordinates in two dimensions
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in two dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 221
12 2
Vectors II
Column vectors
Position vector
By the end of the lesson, the learner should be able to:

Find a displacement and represent it in column vector
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
12 3
Vectors II
Unit vectors
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 226-228
12 4
Vectors II
Magnitude of a vector in three dimensions
Parallel vectors
By the end of the lesson, the learner should be able to:

Calculate the magnitude of a vector in three dimensions
Discussions
Solving
Demonstrating
Explaining
calculators
Geoboard
KLB Mathematics
Book Three
Pg 229-230
12 5
Vectors II
Collinear points
By the end of the lesson, the learner should be able to:

Show that points are collinear
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 232
12 6
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line internally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
12 7
Vectors II
Proportion division of a line
Ratio theorem
By the end of the lesson, the learner should be able to:

Divide a line internally and externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 239
13 1
Vectors II
Ratio theorem
Mid-point
By the end of the lesson, the learner should be able to:

Find the position vector
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 242
13 2
Vectors II
Ratio theorem
Applications of vectors
Applications of vectors
By the end of the lesson, the learner should be able to:

Use ratio theorem to find the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 244-245
13-14

End term exam


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