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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
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
In groups, learners are guided to:
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
In groups, learners are guided to:
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
2 4-5
Binomial expansion
Pascal
Applications to numerical cases
By the end of the lesson, the learner should be able to:

Use Pascal

Use binomial expansion to solve numerical problems
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
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
In groups, learners are guided to:
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
3 1
Probability
Range of probability measure
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
KLB Mathematics
Book Three
Pg 265-266
3 2
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 266-267
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
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 268-270
3 4-5
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
KLB Mathematics
Book Three
Pg 273-274
3 6
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
3 7
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
4 1
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 278-280
4 2
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
4 3
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
4 4-5
Probability
Compound proportions and rate of work
Tree diagrams
Compound proportions
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability

Find the compound proportions
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
Calculators 
KLB Mathematics
Book Three
Pg 283-285
KLB Mathematics
Book Three
Pg 288-290
4 6
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 290-291
4 7
Compound proportions and rate of work
Proportional parts
Rates of work
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
5 1
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
5 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 295-296
5 3
Graphical methods
Tables 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
5 4-5
Graphical methods
Graphs of given relations
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:

Draw graphs of given relations

Draw tables of cubic functions
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 300
KLB Mathematics
Book Three
Pg 301
5 6
Graphical methods
Graphical solution of cubic equations
By the end of the lesson, the learner should be able to:

Draw graphs of cubic equations
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 302-304
5 7
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
6 1
Graphical methods
Rate of change at an instant
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
6 2
Graphical methods
Empirical graphs
By the end of the lesson, the learner should be able to:

Draw the empirical graphs
In groups, learners are guided to:
Discussions
Solving
Demonstrating
Explaining
Geoboard & graph books
KLB Mathematics
Book Three
Pg 315-316
6 3
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
6 4-5
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
6 6
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
6 7
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
7 1
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 
7 2
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 
7 3
Matrices and Transformation
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 
7 4-5
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


Determine and identify a single matrix
for 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 
- K.M, Advancing in
Math F4 Pg 15-17
- KLB Pg 21 
7 6
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 
7 7
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
In groups, learners are guided to:

Practice exercise Ex 1.5
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26 
8

MID TERM EXAMS AND BREAK

9 1
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
In groups, learners are guided to:


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 
9 2
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 
9 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 
9 4-5
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 
9 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 
9 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 
10 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 
10 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
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 
10 3
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 
10 4-5
Statistics
Quartile deviation
Variance
By the end of the lesson, the learner should be able to:


Define and calculate measures of
dispersion ? quartile deviation


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 
10 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
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 
10 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
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 1
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 2
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 3
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 4-5
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 
11 6
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 
11 7
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 1
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 2
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 3
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 4-5
Loci
Loci involving chords
Loci under given conditions including intersecting chords
By the end of the lesson, the learner should be able to:


Construct loci involving chords


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

Practice exercise
KLB Pg 4, Ex. 3.5

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 45-47
- KLB Bk4 Pg 84 
- K.M, Advancing in
Math F4 Pg 47-49 
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 EXAMS


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