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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 OF SCHOOL AND REVISION WORK

2 1
Approximations and Errors
Computing using calculators
By the end of the lesson, the learner should be able to:

Solve basic operations using calculators
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 24-26
2 2
Approximations and Errors
Approximation
Estimation
By the end of the lesson, the learner should be able to:

Approximate values by rounding off
Approximate values by truncation
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 29-30
2 3
Approximations and Errors
Accuracy and errors
Percentage error
By the end of the lesson, the learner should be able to:

Find the absolute error
Find the relative error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 31-32
2 4
Approximations and Errors
Rounding off error and truncation error
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the rounding off error
Find the truncation error
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 34
2 5
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in addition and subtraction
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 35-36
2 6
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in multiplication
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 36-37
2 7
Approximations and Errors
Propagation of errors
By the end of the lesson, the learner should be able to:

Find the propagation of errors in division
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 37-38
3 1
Approximations and Errors
Trigonometry (II)
Word problems
The unit circle
By the end of the lesson, the learner should be able to:

Find the propagation of errors of a word problem
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 39-40
3 2
Trigonometry (II)
The unit circle
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:

Solve problems using the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 43-44
3 3
Trigonometry (II)
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Calculators 
geo boards & graph books
KLB Mathematics
Book Three
Pg 46-47
3 4
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
Use of mathematical tables
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles greater than 3600
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
mathematical tables
KLB Mathematics
Book Three
Pg 49-51
3 5
Trigonometry (II)
Use of mathematical tables
Use of calculators
By the end of the lesson, the learner should be able to:

Use mathematical tables to find tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
calculators
KLB Mathematics
Book Three
Pg 55-56
3 6
Trigonometry (II)
Radian measure
Simple trigonometric graphs
By the end of the lesson, the learner should be able to:

Convert degrees to radians and vice versa
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 58-61
3 7
Trigonometry (II)
Graphs of cosines
By the end of the lesson, the learner should be able to:

Draw tables for cosine of values
Draw graphs of cosine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 63-64
4 1
Trigonometry (II)
Graphs of tan
The sine rule
By the end of the lesson, the learner should be able to:

Draw tables for tan of values
Draw graphs of tan functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
Calculators                                                       
KLB Mathematics
Book Three
Pg 64-65
4 2
Trigonometry (II)
Cosine rule
Problem solving
By the end of the lesson, the learner should be able to:

State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 71-75
4 3
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
4 4
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
4 5
Commercial arithmetic
Hire purchase
Income tax
By the end of the lesson, the learner should be able to:

Find the hire purchase
Discussions
Solving
Demonstrating
Explaining
 ,calculator
income tax table ,calculator
KLB Mathematics
Book Three
Pg 110-112
4 6
Commercial arithmetic
Matrices and Transformation
P.A.Y.E
Transformation on a Cartesian plane
By the end of the lesson, the learner should be able to:

Calculate the p.a.y.e
Discussions
Solving
Demonstrating
Explaining
Calculators s
Square boards
Peg boards and strings
Rubber band
KLB Mathematics
Book Three
Pg 114-117
4 7
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 1
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 2
Matrices and Transformation
Single matrix of transformation for successive transformation
Relate Identity Matrix and 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
Calculators
- K.M, Advancing in
Math F4 Pg 15-17
- KLB Pg 21 
5 3
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

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 
5 4
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 
5 5
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 
5 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 
5 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 
6 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 
6 2
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 
6 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

Practice exercise
KLB Pg 4, Ex. 2.2

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


Ex. 2.3
Exams ? CATS


Calculators
- K.M, Advancing in
Math F4 Pg 34-39
- KLB Bk4 Pg 60 
6 5
Loci
Common types of Loci
Perpendicular bisector Loci
By the end of the lesson, the learner should be able to:


Define locus

Practice exercise
KLB Pg 4, Ex. 3.2
Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40-41
- KLB Bk4 Pg 68 
6 6
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

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 40
- KLB Bk4 Pg 70-71 
6 7
Loci
Angle bisector Loci
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 41
- KLB Bk4 Pg 71-72 
7-8

MIDTERM EXAMS AND MIDTERM BREAK

9 1
Loci
Constant angle loci
By the end of the lesson, the learner should be able to:


Describe common types of loci

Practice exercise
KLB Pg 4, Ex. 3.2

Geometrical patterns
- K.M, Advancing in
Math F4 Pg 42-43
- KLB Bk4 Pg 72-74 
9 2
Loci
Construction:- loci of the equalities
By the end of the lesson, the learner should be able to:


Construct loci

Involving inequalities

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 49 
9 3
Loci
Loci involving chords
By the end of the lesson, the learner should be able to:


Construct loci involving chords

Practice exercise
KLB Pg 4, Ex. 3.5

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 45-47
- KLB Bk4 Pg 84 
9 4
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

Practice exercise
KLB Pg 4, Ex. 3.4

Geometrical
instruments
- K.M, Advancing in
Math F4 Pg 47-49 
9 5
Trigonometry
Three Dimensional Geometry
Trigonometric ratios
Geometrical properties of common solids
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
3-D models
- K.M, Advancing in
Math F4 Pg 51-53
- KLB Bk4 Pg 90-93 
9 6
Three Dimensional Geometry
Skew lines projection of a line onto a plane
Length of a line in 3D geometry
By the end of the lesson, the learner should be able to:


Identify projection of a line onto a
Plane

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.2
3-D models
- K.M, Advancing in
Math F4 Pg 73
- KLB BK 4
Pg 118-119 
9 7
Three Dimensional Geometry
Angle between a line and a line
By the end of the lesson, the learner should be able to:


Identify and calculate the angle between
a line and a line

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 77-80
10 1
Three Dimensional Geometry
A line and a plane
A plane and a plane
By the end of the lesson, the learner should be able to:


Identify and calculate the angle between
a line and a plane
Practice exercise
Advancing BK 4,
Ex. 5.3 and 5.4
KLB Pg 4, Ex. 5.1
3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 106-109 
10 2
Three Dimensional Geometry
Angles between skew lines
By the end of the lesson, the learner should be able to:


Identify and calculate the angle
between skew lines

Practice exercise
Advancing BK 4,
Ex. 5.4
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 118-119 
10 3
Longitudes and Latitudes
Latitudes and longitudes (great and small circle)
By the end of the lesson, the learner should be able to:


Define the great and small circle in
relation to a sphere (including the earth)

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1

Globe
Ball
- K.M, Advancing in
Math F4 Pg 81-83
- KLB BK 4
Pg 125-126 
10 4
Longitudes and Latitudes
The equator and Greenwich meridian
Longitudes and Latitudes Position of a place on the surface of the earth
By the end of the lesson, the learner should be able to:


Define the great and small circle in
relation to a sphere (including the earth)

Practice exercise
Advancing BK 4,
Ex. 6.2
KLB Pg 4, Ex. 6.1
Globe
Ball
- K.M, Advancing in
Math F4 Pg 83
- KLB BK 4
Pg 126-127 
10 5
Longitudes and Latitudes
Radii of small and great circles
Distance between two points along the small and great circle in nautical miles and kilometres
By the end of the lesson, the learner should be able to:


Establish the relationship between the
radii of small and great circles

Practice exercise
Advancing BK 4,
Ex. 6.4
KLB Pg 4, Ex. 6.2
Globe
Ball
- K.M, Advancing in
Math F4 Pg 89
- KLB BK 4
Pg 133-134 
10 6
Longitudes and Latitudes
Distance in nautical miles and kilometers along a circle of latitude
By the end of the lesson, the learner should be able to:


Calculate the distance in nautical miles
and kilometers along a circle of
latitude

Practice exercise
Advancing BK 4,
Ex. 6.5
KLB Pg 4, Ex. 6.3

Globe
Ball
Calculators
- K.M, Advancing in
Math F4 Pg 87-98
- KLB BK 4
Pg 130-133 
10 7
Longitudes and Latitudes
Time and longitude
By the end of the lesson, the learner should be able to:


Calculate time in relation to kilometers
per hour

Practice exercise
Advancing BK 4,
Ex. 6.5
KLB Pg 4, Ex. 6.3

Globe
Ball
Calculators
- K.M, Advancing in
Math F4 Pg 91-92
- KLB Bk4Pg141-142 
11 1
Longitudes and Latitudes
Speed in knots and kilometer per hour
By the end of the lesson, the learner should be able to:


Calculate speed in knots and
kilometer per hour

Practice exercise
Advancing BK 4,
Ex. 6.6
KLB Pg 4, Ex. 6.3

Real life situation
- K.M, Advancing in
Math F4 Pg 96-98
- KLB BK 4 Pg 150 
11 2
Longitudes and Latitudes
Speed in knots and kilometer per hour
By the end of the lesson, the learner should be able to:


Calculate speed in knots and
kilometer per hour

Practice exercise
Advancing BK 4,
Ex. 6.6
KLB Pg 4, Ex. 6.3

Real life situation
- K.M, Advancing in
Math F4 Pg 96-98
- KLB BK 4 Pg 150 
11 3
Linear Programming
Formation of linear Inequalities
By the end of the lesson, the learner should be able to:


Form linear inequalities based on real
life situations

Practice exercise
Advancing BK 4,
Ex. 7.3
KLB BK 4, Ex. 7.1

Inequalities
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
11 4
Linear Programming
Analytical solutions of linear inequalities
By the end of the lesson, the learner should be able to:


Analyze solutions of linear inequalities

Practice exercise
Advancing BK 4,
Ex. 7.1
KLB BK 4, Ex. 7.2

Square boards
Graph papers
- K.M, Advancing in
Math F4 Pg 95-96
- KLB BK 4
Pg 152-155 
11 5
Linear Programming
Solutions of linear inequalities by graph
By the end of the lesson, the learner should be able to:


Represent the linear inequalities on a
graph

Representing inequalities
in a graph
Advancing BK 4,
Ex. 7.2
KLB BK 4, Ex. 7.2


Square boards
- K.M, Advancing in
Math F4 Pg 94-95
- KLB BK 4
Pg 151-152 
11 6
Linear Programming
Optimization (include objective)
By the end of the lesson, the learner should be able to:


Solve and interpret the optimum
solution of the linear inequalities

Practice exercise
Advancing BK 4,
Ex. 7.5
KLB BK 4, Ex. 7.3


Graph paper
- K.M, Advancing in
Math F4 Pg 95-96
- KLB BK 4
Pg 152-155
11 7
Linear Programming
Application of linear programming to real life situation
By the end of the lesson, the learner should be able to:


Solve and interpret the optimum
solution of the linear programming to
real life situations

Practice exercise
Advancing BK 4,
Ex. 7.5
KLB BK 4, Ex. 7.3

Real life situations
Square boards
Graph paper
- K.M, Advancing in
Math F4 Pg 99-100
- KLB BK 4
Pg 157-159 
12-13

END TERM EXAMS AND CLOSING OF SCHOOL

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