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Mathematics
Form 4 2025
TERM II
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

Opening and opener Exams

2 1
Vectors II
Coordinates in two dimensions
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in two dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 221
2 2
Vectors II
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in three dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 222
2 3
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
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
2 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
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
2 5
Vectors II
Position vector
By the end of the lesson, the learner should be able to:

Calculate the position vector
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 224
2 6
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
2 7
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
3 1
Vectors II
Magnitude of a vector in three dimensions
By the end of the lesson, the learner should be able to:

Calculate the magnitude of a vector in three dimensions
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 229-230
3 2
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
3 3
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
3 4
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
3 5
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 233-234
3 6
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
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
3 7
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
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 238
4 1
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line internally and externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 239
4 2
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
4 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
4 4
Vectors II
Ratio theorem
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
4 5
Vectors II
Mid-point
By the end of the lesson, the learner should be able to:

Find the mid-points of the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 243
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
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 244-245
4 7
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 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 parallelogram
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 248-249
5 2
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
5 3
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
5 4
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 5
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 6
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 7
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 
6 1
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 
6 2
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 
6 3
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 
6 4
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 
6 5
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 6
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 7
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 
7 1
Three Dimensional Geometry
Geometrical properties of common solids
By the end of the lesson, the learner should be able to:


State the geometric properties of
common solids
? Education Plus Agencies

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.1

3-D models
- K.M, Advancing in
Math F4 Pg 72-73
- KLB BK 4
Pg 104-106 
7 2
Three Dimensional Geometry
Geometrical properties of common solids
By the end of the lesson, the learner should be able to:


State the geometric properties of
common solids
? Education Plus Agencies

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.1

3-D models
- K.M, Advancing in
Math F4 Pg 72-73
- KLB BK 4
Pg 104-106 
7 3
Three Dimensional Geometry
Skew lines projection of a line onto a plane
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 
7 4
Three Dimensional Geometry
Length of a line in 3D geometry
By the end of the lesson, the learner should be able to:


Calculate the length between two points
in 3D geometry

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 78-80 
7 5
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
7 6
Three Dimensional Geometry
A line 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 
7 7
Three Dimensional Geometry
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. 5.4
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- KLB BK 4
Pg 113-118 
8 1
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 
8

Midterm break

9 1
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 
9 2
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 
9 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 
9 4
Longitudes and Latitudes
The equator and Greenwich meridian
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 
9 5
Longitudes and Latitudes
The equator and Greenwich meridian
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 
9 6
Longitudes and Latitudes
The equator and Greenwich meridian
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 
9 7
Longitudes and Latitudes
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:


Locate a place on the earth?s surface in
terms of latitude and longitude

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

Globe
Ball
- K.M, Advancing in
Math F4 Pg 86
- KLB BK 4
Pg 128-129 
10 1
Longitudes and Latitudes
Radii of small and great circles
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 2
Longitudes and Latitudes
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:


Calculate the distance between two
points along the great circles and small
circles (longitudes and latitudes) in
nautical miles (nm) and kilometres (km)

Practice exercise
Advancing BK 4,
Ex. 6.4
KLB Pg 4, Ex. 6.2

Globe
Ball
- K.M, Advancing in
Math F4 Pg 87-90
- KLB BK 4
Pg 130-139 
10 3
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 4
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 5
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 
10 6
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 
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
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 5
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 6
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 7
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 
12 1
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 
12 2
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 
12 3
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
12 4
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
12 5
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
12 6
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 6-7
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 
13-14

End term exams and closure


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