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SCHEME OF WORK
Mathematics
Form 4 2025
TERM I
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 1
Matrices
Matrix representation and order of matrix
Addition of matrix
By the end of the lesson, the learner should be able to:

Represent matrix
State the order of a matrix
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 168-170
1 2
Matrices
Subtraction of matrices
By the end of the lesson, the learner should be able to:

Subtract matrices
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171
1 3
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 171-174
1 4
Matrices
Matrix multiplication
Identity matrix
By the end of the lesson, the learner should be able to:

Multiply matrices
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Chart showing tabular data
KLB Mathematics
Book Three
Pg 176-179
1 5
Matrices
Determinant of a 2
By the end of the lesson, the learner should be able to:

Find the determinant of a 2
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculator
KLB Mathematics
Book Three
Pg 183
1 6
Matrices
Inverse of a 2
By the end of the lesson, the learner should be able to:

Calculate the inverse of a 2
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 183-185
1 7
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 188-190
2 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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 188-190
2 2
Formulae and variations
Formulae
By the end of the lesson, the learner should be able to:

Make subject of the given formula
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 191-193
2 3
Formulae and variations
Direct variation
Inverse variation
By the end of the lesson, the learner should be able to:

Solve problems involving direct variations
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 194-196
2 4
Formulae and variations
Partial variation
By the end of the lesson, the learner should be able to:

Solve problems involving partial variations
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 201-203
2 5
Formulae and variations
Joint variation
By the end of the lesson, the learner should be able to:

Solve problems involving join variations
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 204-205
2 6
Sequences and series
Sequences
Arithmetic sequences
By the end of the lesson, the learner should be able to:

Find the next terms
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 207-208
2 7
Sequences and series
Geometric sequence
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric sequence
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 211-213
3 1
Sequences and series
Arithmetic series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic series
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 214-215
3 2
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 216-219
3 3
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 221
3 4
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
3 5
Vectors II
Position vector
Unit vectors
By the end of the lesson, the learner should be able to:

Calculate the position vector
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 224
3 6
Vectors II
Unit vectors
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 226-228
3 7
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
calculators
Geoboard
KLB Mathematics
Book Three
Pg 229-230
4 1
Vectors II
Collinear points
By the end of the lesson, the learner should be able to:

Show that points are collinear
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 232
4 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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
4 3
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line externally in the given ratio
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 238
4 4
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Express position vectors
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 240
4 5
Vectors II
Ratio theorem
Mid-point
By the end of the lesson, the learner should be able to:

Find the position vector
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 242
4 6
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Use ratio theorem to find the given vectors
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 244-245
4 7
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 246-248
5 1
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg
5 2
Binomial expansion
Binomial Expansion up to power four
Pascal
By the end of the lesson, the learner should be able to:

Expand binomial function up to power four
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256
5 3
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
5 4
Binomial expansion
Applications to numerical cases
By the end of the lesson, the learner should be able to:

Use binomial expansion to solve numerical problems
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 259-260
5 5
Binomial expansion
Probability
Applications to numerical cases
Experimental probability
By the end of the lesson, the learner should be able to:

Use binomial expansion to solve numerical problems
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 259-260
5 6
Probability
Experimental probability
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
5 7
Probability
Range of probability measure
Probability space
By the end of the lesson, the learner should be able to:

Calculate the range of probability measure
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators
Calculators, charts
KLB Mathematics
Book Three
Pg 265-266
6 1
Probability
Probability space
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 268-270
6 2
Probability
Combined events
By the end of the lesson, the learner should be able to:

Find the probability of a combined events
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 272-273
6 3
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 274-275
6 4
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 276-277
6 5
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Draw tree diagrams to show the probability space
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 282
6 6
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 283-285
6 7
Compound proportions and rate of work
Compound proportions
By the end of the lesson, the learner should be able to:

Find the compound proportions
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 288-290
7 1
Compound proportions and rate of work
Proportional parts
By the end of the lesson, the learner should be able to:

Calculate the proportional parts
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 291-293
7 2
Compound proportions and rate of work
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the rate of work
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 294-295
7 3
Compound proportions and rate of work
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the rate of work
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 295-296
7 4
Graphical methods
Tables of given relations
Graphs of given relations
By the end of the lesson, the learner should be able to:

Draw tables of given relations
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 299
7 5
Graphical methods
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:

Draw tables of cubic functions
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 301
7 6
Graphical methods
Average rates of change
By the end of the lesson, the learner should be able to:

Calculate the average rates of change
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 304-306
7 7
Graphical methods
Rate of change at an instant
Empirical graphs
By the end of the lesson, the learner should be able to:

Calculate the rate of change at an instant
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 310-311
8

MIDTERM EXAM AND MIDTERM BREAK

9 1
Graphical methods
Reduction of non-linear laws to linear form
By the end of the lesson, the learner should be able to:

Draw the graphs of reduction of non-linear laws to linear form
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 318-321
9 2
Graphical methods
Reduction of non-linear laws to linear form
By the end of the lesson, the learner should be able to:

Draw the graphs of reduction of non-linear laws to linear form
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
Geoboard & graph bookss
KLB Mathematics
Book Three
Pg 318-321
9 3
Graphical methods
Equation of a circle
By the end of the lesson, the learner should be able to:

Find the equation of a circle
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 325-326
9 4
Graphical methods
Equation of a circle
By the end of the lesson, the learner should be able to:

Find the equation of a circle
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 327-328
9 5
Matrices and Transformation
Transformation on a Cartesian plane
By the end of the lesson, the learner should be able to:


Relate image and objects under a given
transformation on the Cartesian plane
In groups, learners are guided to:

Drawing objects and
their images on
Cartesian plane
Practice Ex 1.1 P5


Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 1-3
- KLB Pg 1-6 
9 6
Matrices and Transformation
Identification of transformation matrix
By the end of the lesson, the learner should be able to:


Determine the matrix of a
transformation
In groups, learners are guided to:

Practice exercise
KLB EX 1.2 and 1.3

Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 3-9
- KLB Pg 6-16 
9 7
Matrices and Transformation
Successive transformation
Single matrix of transformation for successive transformation
By the end of the lesson, the learner should be able to:


Perform successive transformation
In groups, learners are guided to:

Drawing objects and its
successive images
KLB Ex 1.4
Square boards
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 15-17
- KLB Pg 16-24 
10 1
Matrices and Transformation
Relate Identity Matrix and Transformation
By the end of the lesson, the learner should be able to:


Relate identity matrix and
transformation
In groups, learners are guided to:

Practice exercise Ex 1.4
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 13-14
- KLB Pg 22-24 
10 2
Matrices and Transformation
Inverse of a matrix area scale factor and determinant of a matrix
Area of scale factor and determinant of a matrix
By the end of the lesson, the learner should be able to:


Determine the inverse of a
transformation
In groups, learners are guided to:

Practice exercise Ex 1.5
KLB BK 4
Calculators
Boards and strings
Peg boards and strings
Rubber band
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
10 3
Matrices and Transformation
Shear and stretch
By the end of the lesson, the learner should be able to:


Determine shear and stretch
In groups, learners are guided to:

Drawing objects and
images under shear and
stretch. Ex 1.6

Square boards
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 10-13
- KLB Pg 28-34 
10 4
Matrices and Transformation
Shear and stretch
By the end of the lesson, the learner should be able to:


Determine shear and stretch
In groups, learners are guided to:

Drawing objects and
images under shear and
stretch. Ex 1.6

Square boards
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 10-13
- KLB Pg 28-34 
10 5
Statistics
Ogive
By the end of the lesson, the learner should be able to:


Use cumulative frequency tables to
Draw the ogive
In groups, learners are guided to:

Drawing cumulative
frequency curve (ogive)
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 28-29
- KLB Pg 51-52 
10 6
Statistics
Median
By the end of the lesson, the learner should be able to:


Estimate the median and quartiles by
Calculations
Ogive
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
Calculators
- K.M, Advancing in
Math F4 Pg 29-31
- KLB Pg 48 
10 7
Statistics
Quartile
By the end of the lesson, the learner should be able to:


Estimate median and quartiles by
Calculations
ogive
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 2.2

Square boards
Graph papers
Calculators
- K.M, Advancing in
Math F4 Pg 29-31
- KLB Pg 46 
11 1
Statistics
Range- inter quartile range
By the end of the lesson, the learner should be able to:


Define and calculate measure of
dispersion-range, quartiles and
inter-quartile range
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 32-33
- KLB BK 4 
11 2
Statistics
Quartile deviation
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
11 3
Statistics
Variance
By the end of the lesson, the learner should be able to:


Define and calculate measures of
Dispersion, variance interpret measure
of dispersion
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
11 4
Statistics
Standard deviation
By the end of the lesson, the learner should be able to:


- Define and calculate measures of
dispersion, standard deviation
- Interpret measures of dispersion
In groups, learners are guided to:


Ex. 2.3
Exams ? CATS


Calculators
- K.M, Advancing in
Math F4 Pg 34-39
- KLB Bk4 Pg 60 
11 5
Loci
Common types of Loci
By the end of the lesson, the learner should be able to:


Define locus
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40-41
- KLB Bk4 Pg 68 
11 6
Loci
Perpendicular bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40
- KLB Bk4 Pg 69
11 7
Loci
Loci of a point at a given distance from a fixed point and fixed line
By the end of the lesson, the learner should be able to:


Describe common types of loci
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40
- KLB Bk4 Pg 70-71 
12 1
Loci
Angle bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 41
- KLB Bk4 Pg 71-72 
12 2
Loci
Angle bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 41
- KLB Bk4 Pg 71-72 
12 3
Loci
Constant angle loci
By the end of the lesson, the learner should be able to:


Describe common types of loci
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 42-43
- KLB Bk4 Pg 72-74 
12 4
Loci
Construction:- loci of the equalities
By the end of the lesson, the learner should be able to:


Construct loci
In groups, learners are guided to:

Involving inequalities

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 49 
12 5
Loci
Loci involving chords
By the end of the lesson, the learner should be able to:


Construct loci involving chords
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.5

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 45-47
- KLB Bk4 Pg 84 
12 6
Loci
Loci under given conditions including intersecting chords
By the end of the lesson, the learner should be able to:


Construct loci involving intersecting
Loci and under given conditions
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 47-49 
12 7
Trigonometry
Trigonometric ratios
By the end of the lesson, the learner should be able to:


Recall and define trigonometric ratios
In groups, learners are guided to:

Practice exercise
KLB Pg 4, Ex. 4.1
Advancing BK 4, Ex. 4.1

Chart illustrating
Trigonometric ratios
- K.M, Advancing in
Math F4 Pg 51-53
- KLB Bk4 Pg 90-93 
13

END TERM EXAM AND APRIL HOLIDAY


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