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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 7
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 1-2
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 income tax
Discussions
Solving
Demonstrating
Explaining
 ,calculator
income tax table ,calculator
Calculators s
KLB Mathematics
Book Three
Pg 110-112
KLB Mathematics
Book Three
Pg 112-114
5 3
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
5 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
5 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
5 6
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
5 7
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
6 1-2
Circles: Chords and tangents
Tangent to a circle
Properties of tangents to a circle from an external point
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the length of tangent
Calculate the angle between tangents

Calculate the tangents of direct common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 141-142
KLB Mathematics
Book Three
Pg 148-149
6 3
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
6 4
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
6 5
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
6 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
6 7
Circles: Chords and tangents
Circumscribed circle
Escribed circles
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
7 1-2
Circles: Chords and tangents
Circles: Chords and tangents
Matrices
Centroid
Orthocenter
Matrix representation and order of matrix
By the end of the lesson, the learner should be able to:

Construct centroid

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
Geometrical set ,calculator
Chart showing tabular data
KLB Mathematics
Book Three
Pg 166
KLB Mathematics
Book Three
Pg 167
7 3
Matrices
Addition of matrix
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
7 4
Matrices
Subtraction of matrices
Combined addition and subtraction of matrices
By the end of the lesson, the learner should be able to:

Subtract matrices
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171
7 5
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 6
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
7 7
Matrices
Determinant 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
8 1-2
Matrices
Inverse of a 2
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 183-185
KLB Mathematics
Book Three
Pg 186-187
8 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
8 4
Matrices
Formulae and variations
Problem solving
Formulae
By the end of the lesson, the learner should be able to:

Calculate the inverse of a matrix
Solve simultaneous equations by matrix method
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 190
8-9

Midterm Exam

9

Midterm Break

10 1-2
Formulae and variations
Direct variation
Inverse variation
Partial variation
By the end of the lesson, the learner should be able to:

Solve problems involving direct variations

Solve problems involving inverse variations
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 194-196
KLB Mathematics
Book Three
Pg 197-200
10 3
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
10 4
Formulae and variations
Sequences and series
Joint variation
Sequences
By the end of the lesson, the learner should be able to:

Solve problems involving join variations
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 206
10 5
Sequences and series
Arithmetic sequences
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic sequence
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 209-210
10 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
10 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
11 1-2
Sequences and series
Vectors II
Geometric series
Coordinates in two dimensions
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric series

Identify the coordinates of appoint in three dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 216-219
KLB Mathematics
Book Three
Pg 222
11 3
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
11 4
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
11 5
Vectors II
Unit vectors
Magnitude of a vector in three dimensions
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 226-228
11 6
Vectors II
Parallel vectors
By the end of the lesson, the learner should be able to:

Identify parallel vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 231-232
11 7
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 1-2
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

Divide a line externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
KLB Mathematics
Book Three
Pg 238
12 3
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Express position vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 240
12 4
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
12 5
Vectors II
Ratio theorem
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
12 6
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
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 246-248
12 7
Vectors II
Applications of vectors
By the end of the lesson, the learner should be able to:

Use vectors to show the diagonals of a rectangle
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg
13

End Term Exam

14

Examination Marking and Closing


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