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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

Opening and time-tabling
2 1
Binomial expansion
Binomial Expansion up to power four
By the end of the lesson, the learner should be able to:

Expand binomial function up to power four
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256
2 2
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256-257
2 3
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
2 4
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
2 5
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
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 259-260
2 6
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
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 259-260
2 7
Probability
Experimental probability
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
3 1
Probability
Experimental probability
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
3 2
Probability
Range of probability measure
By the end of the lesson, the learner should be able to:

Calculate the range of probability measure
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 265-266
3 3
Probability
Probability space
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 266-267
3 4
Probability
Probability space
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 268-270
3 5
Probability
Combined events
By the end of the lesson, the learner should be able to:

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

Find the probability of a combined events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 273-274
3 7
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 274-275
4 1
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 276-277
4 2
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 276-277
4 3
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 278-280
4 4
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Draw tree diagrams to show the probability space
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 282
4 5
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 283-285
4 6
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 283-285
4 7
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

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 
5 1
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

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 
5 2
Matrices and Transformation
Successive transformation
By the end of the lesson, the learner should be able to:


Perform successive transformation

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 
5 3
Matrices and Transformation
Successive transformation
By the end of the lesson, the learner should be able to:


Perform successive transformation

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 
5 4
Matrices and Transformation
Single matrix of transformation for successive transformation
By the end of the lesson, the learner should be able to:


Determine and identify a single matrix
for successive transformation

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 21 
5 5
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

Practice exercise Ex 1.4
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 13-14
- KLB Pg 22-24 
5 6
Matrices and Transformation
Inverse of a matrix area 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

Practice exercise Ex 1.5
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
5 7
Matrices and Transformation
Area of scale factor and determinant of a matrix
By the end of the lesson, the learner should be able to:


Establish and use the relationship between
area scale factor and determinant of a
matrix


Practice exercise Ex 1.5
KLB BK 4 pg 27

Boards and strings
Peg boards and strings
Rubber band
Calculators
- K.M, Advancing in
Math F4 Pg 17-19
- KLB Pg 26-27 
6 1
Matrices and Transformation
Shear and stretch
By the end of the lesson, the learner should be able to:


Determine shear and stretch

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 
6 2
Matrices and Transformation
Shear and stretch
By the end of the lesson, the learner should be able to:


Determine shear and stretch

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 
6 3
Statistics
Ogive
By the end of the lesson, the learner should be able to:


Use cumulative frequency tables to
Draw the ogive

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 
6 4
Statistics
Ogive
By the end of the lesson, the learner should be able to:


Use cumulative frequency tables to
Draw the ogive

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 
6 5
Statistics
Median
By the end of the lesson, the learner should be able to:


Estimate the median and quartiles by
Calculations
Ogive

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 
6 6
Statistics
Median
By the end of the lesson, the learner should be able to:


Estimate the median and quartiles by
Calculations
Ogive

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 
6 7
Statistics
Quartile
By the end of the lesson, the learner should be able to:


Estimate median and quartiles by
Calculations
ogive

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 
7

Mid term exams
8

Midterm break
9 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

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 32-33
- KLB BK 4 
9 2
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

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 32-33
- KLB BK 4 
9 3
Statistics
Quartile deviation
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
9 4
Statistics
Quartile deviation
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
9 5
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

Practice exercise
KLB Pg 4, Ex. 2.2

Calculators
- K.M, Advancing in
Math F4 Pg 34-35
- KLB Bk4 Pg 57-59 
9 6
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


Ex. 2.3
Exams ? CATS


Calculators
- K.M, Advancing in
Math F4 Pg 34-39
- KLB Bk4 Pg 60 
9 7
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


Ex. 2.3
Exams ? CATS


Calculators
- K.M, Advancing in
Math F4 Pg 34-39
- KLB Bk4 Pg 60 
10 1
Trigonometry
Trigonometric ratios
By the end of the lesson, the learner should be able to:


Recall and define trigonometric ratios

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 
10 2
Trigonometry
Trigonometric ratios
By the end of the lesson, the learner should be able to:


Recall and define trigonometric ratios

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 
10 3
Trigonometry
Deriving the relation Sin2 0 + Cos2 0 = 1
By the end of the lesson, the learner should be able to:


Derive trigonometric identity
Sin2 0 + Cos2 0 = 1

Practice exercise
Advancing BK 4, Ex. 4.1
Ex 4.2, Ex 4.3

Charts illustrating the
unit circle and right
- K.M, Advancing in
Math F4 Pg 59-64 
10 4
Trigonometry
Trigonometric ratios of the form y = sin x y = tan x y = cos x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = sin x
y = tan x
y = cos x

Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4 and 4.5
Patel BK 4, Ex. 4.2


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
- KLB Bk4 Pg 96-99 
10 5
Trigonometry
Trigonometric ratios of the form y = sin x y = tan x y = cos x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = sin x
y = tan x
y = cos x

Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4 and 4.5
Patel BK 4, Ex. 4.2


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
- KLB Bk4 Pg 96-99 
10 6
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
10 7
Trigonometry
Graphs of Trigonometric relations y = a sin x y = a cos x y = a tan x
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric relations
y = sin x
y = cos x
y = tan x

Drawing graphs
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.4
Patel BK 4, Ex. 4.3


Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-63
- KLB Bk4 Pg 96-99 
11 1
Trigonometry
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce from the graphs
y = sin x
y = tan x
y = cos x
The amplitude, wavelength and phase
angle




Practice exercise




Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-63 
11 2
Trigonometry
Simple trigonometric equations, amplitudes, period, wavelength and phase angle of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce from the graphs
y = sin x
y = tan x
y = cos x
The amplitude, wavelength and phase
angle




Practice exercise




Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-63 
11 3
Trigonometry
Trigonometry y = a sin (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a sin (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 60 
11 4
Trigonometry
Trigonometry y = a cos (bx + 0) y = a tan (bx + 0)
By the end of the lesson, the learner should be able to:


Draw graphs of trigonometric ratios of
the form y = a cos (bx + 0)
y = a tan (bx + 0)

Drawing graphs

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 59-64
11 5
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
11 6
Trigonometry
Amplitude, period, wavelength and phase Phase angles of trigonometric function
By the end of the lesson, the learner should be able to:


Deduce the graphs y = a sin (bx + 0)
y = a cos (bx + 0)
y = a tan (bx + 0)



Practice exercise



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 59-64 
11 7
Trigonometry
Solution to simple Trigonometric equations
By the end of the lesson, the learner should be able to:


Solve simple trigonometric equations
analytically and graphically


Practice exercise
KLB Pg 4, Ex. 4.3
Advancing BK 4,
Ex. 4.6
Patel BK 4, Ex. 4.4



Trigonometric relations
Graphs
- K.M, Advancing in
Math F4 Pg 65-67
- KLB BK 4
Pg 100-102 
12

End term exams
13

School closing

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