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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
4 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
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 89
4 4-5
Further Logarithms
Laws of logarithms
Logarithmic equations and expressions
By the end of the lesson, the learner should be able to:

State the laws of logarithms
Use laws of logarithms to solve problems

Solve the logarithmic equations and expressions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 90-93
KLB Mathematics
Book Three
Pg 93-95
4 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
4 7
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
5 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
5 2
Commercial arithmetic
Simple interest
Compound interest
By the end of the lesson, the learner should be able to:

Calculate simple interest
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 98-99
5 3
Commercial arithmetic
Appreciation
Depreciation
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
5 4-5
Commercial arithmetic
Hire purchase
Income tax
P.A.Y.E
By the end of the lesson, the learner should be able to:

Find the hire purchase

Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
 ,calculator
income tax table ,calculator
Calculators s
KLB Mathematics
Book Three
Pg 110-112
KLB Mathematics
Book Three
Pg 114-117
5 6
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 124-125
5 7
Circles: Chords and tangents
Parallel chords
Equal 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
6 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 132-135
6 2
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
6 3
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
6 4-5
Circles: Chords and tangents
Tangents to two circles
Tangents to two circles
Contact of circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of direct common tangents

Calculate the tangents of transverse common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 148-149
KLB Mathematics
Book Three
Pg 150-151
6 6
Circles: Chords and tangents
Contact of circles
Problem solving
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
6 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 157-160
7 1
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
7 2
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
7 3
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
7 4-5
Matrices
Matrix representation and order of matrix
Addition of matrix
Subtraction of matrices
Combined addition and subtraction of matrices
By the end of the lesson, the learner should be able to:

Represent matrix
State the order of a matrix

Subtract matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 168-170
KLB Mathematics
Book Three
Pg 171
7 6
Matrices
Matrix multiplication
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 174-175
7 7
Matrices
Identity matrix
By the end of the lesson, the learner should be able to:

Find the identity matrix
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 182-183
8

Midterm break

9 1
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
9 2
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
9 3
Matrices
Solutions of simultaneous equations by matrix method
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
9 4-5
Matrices
Sequences and series
Problem solving
Sequences
Arithmetic sequences
Geometric sequence
By the end of the lesson, the learner should be able to:

Calculate the inverse of a matrix
Solve simultaneous equations by matrix method

Find the nth term of a given arithmetic sequence
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 190
KLB Mathematics
Book Three
Pg 209-210
9 6
Sequences and series
Arithmetic series
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 214-215
9 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
10 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
10 2
Vectors II
Column vectors
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
10 3
Vectors II
Position vector
Unit vectors
By the end of the lesson, the learner should be able to:

Calculate the position vector
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 224
10 4-5
Vectors II
Unit vectors
Magnitude of a vector in three dimensions
Parallel vectors
Collinear points
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors

Identify parallel vectors
Discussions
Solving
Demonstrating
Explaining
calculators
Geoboard
KLB Mathematics
Book Three
Pg 226-228
KLB Mathematics
Book Three
Pg 231-232
10 6
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 233-234
10 7
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
11 1
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
11 2
Vectors II
Ratio theorem
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
11 3
Vectors II
Mid-point
Ratio theorem
By the end of the lesson, the learner should be able to:

Find the mid-points of the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 243
11 4-5
Vectors II
Ratio theorem
Applications of vectors
By the end of the lesson, the learner should be able to:

Use ratio theorem to find the given vectors

Use vectors to show the diagonals of a rectangle
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 246-248

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