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SCHEME OF WORK
Mathematics
Form 2 2025
TERM II
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
2 1
Reflection and congruence
Symmetry
By the end of the lesson, the learner should be able to:

Find the lines of symmetry of shapes
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 46-47   Discovering secondary pg 32
2 2
Reflection and congruence
Reflection
Some general deductions using reflection
Some general deductions using reflection
By the end of the lesson, the learner should be able to:

Draw an image under reflection
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 48-50  Discovering secondary pg 33
2 3
Reflection and congruence
Congruence
Congruent triangles
Congruent triangles
The ambiguous case
By the end of the lesson, the learner should be able to:

Determine shapes that are congruent
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 61-62  Discovering secondary pg 39
2 4
Rotation
Introduction
Centre of rotation
Angle of rotation
By the end of the lesson, the learner should be able to:

Draw an image of an object under rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 71-73  Discovering secondary pg 44
2 5
Rotation
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:

Rotate objects about the origin
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 75   Discovering secondary pg 47
2 6
Rotation
Similarity and enlargement
Rotational symmetry of plane figures
Rotational symmetry of solids
Rotation and congruence
Similar figures
By the end of the lesson, the learner should be able to:

State the order of rotational symmetry
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 78-80  Discovering secondary pg 49
3 1
Similarity and enlargement
Similar figures
Enlargement
Enlarge objects
By the end of the lesson, the learner should be able to:

Use ratio to calculate the lengths of similar figures
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 88-90    Discovering secondary pg 56
3 2
Similarity and enlargement
Linear scale factor
Negative scale factor
By the end of the lesson, the learner should be able to:

Determine the linear scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100    Discovering secondary pg  54
3 3
Similarity and enlargement
Positive and negative linear scale factor
Area scale factor
Area of scale factor
Volume scale factor
By the end of the lesson, the learner should be able to:

Solve problems on linear scale factor
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 105-106  Discovering secondary pg  60
3 4
Similarity and enlargement
Trigonometry 
Volume scale factor
Area and volume scale factor
Pythagoras Theorem
By the end of the lesson, the learner should be able to:

Use volume scale factor to solve problems
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Chalkboard Charts Illustrating derived theorem
KLB Mathematics
Book Two
Pg 110-111   Discovering secondary pg 64
3 5
Trigonometry 
Solutions of problems Using Pythagoras Theorem
Application to real life Situation
Trigonometry Tangent, sine and cosines
By the end of the lesson, the learner should be able to:
Solve problems using Pythagoras Theorem
Solving problems using Pythagoras theorem
Charts illustrating Pythagoras theorem
Mathematical table
Charts illustrating tangent, sine and cosine
KLB BK2 Pg 121   Discovering secondary pg 67
3 6
Trigonometry 
Trigonometric Table
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles
By the end of the lesson, the learner should be able to:
Use trigonometric tables to find the sine, cosine and tangent
Reading trigonometric tables of sines, cosines and tangent
Mathematical table
Mathematical table Charts Chalkboard
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
4 1
Trigonometry 
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems
By the end of the lesson, the learner should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent
Relating the three trigonometric ratios
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard
KLB BK2 Pg 145
4 2
Trigonometry 
Logarithms of Sines
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents
By the end of the lesson, the learner should be able to:
Read the logarithms of sines
Solving problems by reading logarithm table of sines
Chalkboard Mathematical tables
Chalkboard Mathematical table
KLB BK2 Pg 149
4 3
Trigonometry 
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
By the end of the lesson, the learner should be able to:
Solve problems in real life using trigonometry
Solving problems using trigonometry in real life
Mathematical table
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
KLB BK2 Pg 153-154
4 4
Trigonometry 
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon
By the end of the lesson, the learner should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite
Mathematical table Charts illustrating Polygons
KLB BK2 Pg 161-163
4 5
Trigonometry 
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector)
Defining a segment of a circle Finding the area of a segment of a circle
By the end of the lesson, the learner should be able to:
Find the area of irregular polygons
Finding the area of irregular polygons
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors
Chart illustrating a Segment
KLB BK2 Pg 166
4 6
Trigonometry 
Area of a common region between two circles given the angles and the radii
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid
By the end of the lesson, the learner should be able to:
Find the area of common region between two circles given the angles ? Education Plus Agencies
Calculating the area of a segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid
KLB BK 2 Pg 175
5 1
Trigonometry 
Surface area of a Rectangular based Pyramid
Surface area of a cone using the formula A = ?r2 + ?rl
Surface area of a frustrum of a cone and a pyramid
By the end of the lesson, the learner should be able to:
Find the surface area of a rectangular based pyramid
Finding the surface area of a rectangular based pyramid
Models of a Rectangular based pyramid
Models of a cone
Models of frustrum of a cone and a pyramid
KLB BK 2 Pg 179-180
5 2
Trigonometry 
Finding the surface area of a sphere
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism)
By the end of the lesson, the learner should be able to:
Find the surface area of a sphere given the radius of a sphere
Finding the surface area of a sphere
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere
Models of a triangular based prism
KLB BK 2 Pg 183
5 3
Trigonometry 
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based)
Volume of a cone
Volume of a frustrum of a cone
By the end of the lesson, the learner should be able to:
Find the volume of a hexagonal based prism
Calculating the volume of an hexagonal prism
Models of hexagonal based prism
Models of square and Rectangular based Pyramids
Model of a cone
Models of a frustrum of a cone
KLB BK 2 Pg 187
5 4
Trigonometry 
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)}
By the end of the lesson, the learner should be able to:
Find the volume of a frustrum of a Pyramid
Finding volume of a full pyramid Finding volume of cutoff pyramid Find volume of the remaining fig (frustrum) by subtracting i.e. Vf = (V ? v)
Models of frustrum of a pyramid
Model of a sphere Mathematical table
Models of hemisphere
KLB BK 2 Pg 194
5 5
Trigonometry 
Trigonometric Ratios
Trigonometric Ratios
Application of area of triangles to real life
Tangent of an angle
Tangent of an angle
By the end of the lesson, the learner should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation
Solving problems in real life using the knowledge of the area of triangle
Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables
KLB BK 2 Pg 159
5 6
Trigonometric Ratios
Using tangents in calculations
Application of tangents
The sine of an angle
The cosine of an angle
By the end of the lesson, the learner should be able to:
calculate the size of an angle given two sides and an angle from tables
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 1
Trigonometric Ratios
Application of sine and cosine
Complementary angles
Special angles
By the end of the lesson, the learner should be able to:

apply sines to work out lengths and angles. Apply cosine to work out length and angles
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 2
Trigonometric Ratios
Application of Special angles
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan
By the end of the lesson, the learner should be able to:
apply the knowledge of special angles to solve problems
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 3
Trigonometric Ratios
Area of A Triangle
Area of A Triangle
Application to real life situation
Problem solving
Area =
Solve problems involving =
By the end of the lesson, the learner should be able to:

apply the knowledge of trigonometry to real life situations
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 4
Area of A Triangle
Area of Quadrilaterals
A =?s(s-a) (s-b) (s-c)
Problem solving
Area of parallelogram
By the end of the lesson, the learner should be able to:

find the area of a triangle given the three sides
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
Parallelograms
Trapeziums
Polygons
Squares/rectangles
KLB Maths Bk2 Pg. 155-157
6 5
Area of Quadrilaterals
Area of Rhombus
Area of trapezium and kite
Area of regular polygons
By the end of the lesson, the learner should be able to:

find the area of a regular polygon.
Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Mathematical tables Chalkboard illustrations
KLB Maths Bk2 Pg. 161
6 6
Area of Quadrilaterals
Area of Part of a Circle
Area of Part of a Circle
Area of Part of a Circle
Problem solving
Area of a sector
Area of a segment
Common region between two circles
By the end of the lesson, the learner should be able to:

solve problems on area of quadrilaterals and other polygons
Learners solve problems
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Circles
Chart illustrating the area of a sector
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 165-166
7

CAT 1 EXAMS

8 1
Area of Part of a Circle
Surface Area of Solids
Common region between two circles
Problem solving
Surface area of prisms
By the end of the lesson, the learner should be able to:

find the area of the common region between two circles and solve problems related to that
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a minor segment
Chart illustrating the area of a minor segment Chalkboard illustrations
Prism Chalkboard illustrations
KLB Maths Bk2 Pg. 167-169
8 2
Surface Area of Solids
Surface area of pyramid
Surface area of a cone
Surface area of frustrum with circular base
By the end of the lesson, the learner should be able to:

find the surface area of a pyramid
Drawing pyramids
Measuring lengths/
angles
Opening pyramids to
form nets
Discussions
Calculating area
Pyramids with square base, rectangular base, triangular base
Cone
Chart illustrating the surface area of a frustrum
KLB Maths Bk2 Pg. 178
8 3
Surface Area of Solids
Surface area of frustrum with square base
Surface area of frustrum with rectangular base
Surface area of spheres
Problem solving
By the end of the lesson, the learner should be able to:

find the surface area of frustrum with square base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions Learners find the surface area
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations
Past paper questions
KLB Maths Bk2 Pg. 181-183
8 4
Volume of Solids
Volume of prism
Volume of pyramid
Volume of a cone
By the end of the lesson, the learner should be able to:

find the volume of a prism
Identifying prisms
Identifying the cross-sectional area
Drawing/sketching prisms
Prism
Pyramid
Cone
KLB Maths Bk2 Pg. 186-188
8 5
Volume of Solids
Volume of a sphere
Volume of frustrum
Volume of frustrum with a square base
By the end of the lesson, the learner should be able to:

find the volume of a sphere
Identifying spheres
Sketching spheres
Measuring radii/
diameters
Discussions
Sphere
Frustrum with circular base
Frustrum with square base
KLB Maths Bk2 Pg. 195
8 6
Volume of Solids
Quadratic Expressions and Equations
Volume of frustrum with a rectangular base
Application to real life situation
Problem solving
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a rectangular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 192-193
9

HALF TERM BREAK

10 1
Quadratic Expressions and Equations
Quadratic identities
Application of identities
Factorise the Identities
By the end of the lesson, the learner should be able to:

derive the three Algebraic identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 204-205
10 2
Quadratic Expressions and Equations
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation
By the end of the lesson, the learner should be able to:
factorise quadratic expressions
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Chart illustrating factorization of a quadratic expression
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 119-122
10 3
Quadratic Expressions and Equations
Solving quadratic equations
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
Solving on quadratic equations
By the end of the lesson, the learner should be able to:
solve quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208
10 4
Quadratic Expressions and Equations
Linear Inequalities
Linear Inequalities
Forming quadratic equations from the roots
Inequalities symbols
Number line
By the end of the lesson, the learner should be able to:
form quadratic equations given the roots of the equation
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 210
10 5
Linear Inequalities
Inequalities in one unknown
Graphical representation
Graphical solutions of simultaneous linear inequalities
Graphical solutions of simultaneous linear inequalities
By the end of the lesson, the learner should be able to:
solve linear inequalities in one unknown and state the integral values
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
Number lines Graph papers
KLB Maths Bk2 Pg. 213-224
10 6
Linear Inequalities
Area of the wanted region
Inequalities from inequality graphs
Problem solving.
By the end of the lesson, the learner should be able to:
calculate the area of the wanted region
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
11 1
Linear Motion
Displacement, velocity, speed and acceleration
Distinguishing terms
Distinguishing velocity and acceleration
By the end of the lesson, the learner should be able to:
Define displacement, speed velocity and acceleration
Teacher/pupil discussion
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 228-238
11 2
Linear Motion
Distance time graphs
Interpret the velocity time graph
Interpreting graphs
Relative speed (objects moving in the same direction)
By the end of the lesson, the learner should be able to:

plot and draw the distance time graphs
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
Drawn graphs
Real life situation
Chalkboard illustrations
KLB Maths Bk2 Pg. 228-238
11 3
Linear Motion
Statistics
Statistics
Problem solving
Definition
Collection and organization of data
By the end of the lesson, the learner should be able to:

solve problems on linear motion
Question answer method
Past paper questions
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB
Maths Bk2
Pg.330
11 4
Statistics
Frequency tables
Grouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:

draw a frequency distribution table
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 5
Statistics
Median of ungrouped data
Mean of ungrouped data
Median of a grouped data modal class
Data Representation. Line graphs
By the end of the lesson, the learner should be able to:
calculate the median of ungrouped data and state the mode
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 6
Statistics
Bar graphs
Pictogram
Histograms
By the end of the lesson, the learner should be able to:
represent data in form of a bar graph
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Pictures which are whole, half, quarter
KLB Maths Bk2 Pg. 241-252
12 1
Statistics
Frequency polygons
Histograms with uneven distribution
Interpretation of data
By the end of the lesson, the learner should be able to:
represent data in form of frequency polygons
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Histograms drawn. Data
Data with uneven classes
Real life situations
KLB Maths Bk2 Pg. 241-252
12 2
Statistics
Angle Properties of a Circle
Angle Properties of a Circle
Angle Properties of a Circle
Problem solving
Arc chord segment
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference
By the end of the lesson, the learner should be able to:

solve problems on statistics
Problem solving
Past paper questions
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
KLB Maths Bk2 Pg. 241-252
12 3
Angle Properties of a Circle
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

state the angle in the semi-circle
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
12 4
Angle Properties of a Circle
Exterior angle property
Problem solving
Problem solving
By the end of the lesson, the learner should be able to:

apply the exterior angle property
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
different parts Past paper questions
different parts Past paper questions
KLB Maths Bk2 Pg. 264-278
12 5
Vectors
Definition and Representation of vectors
Equivalent vectors
Addition of vectors
Multiplication of vectors
By the end of the lesson, the learner should be able to:
define a vector and a scalar, use vector notation and represent vectors.
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 284-285
12 6
Vectors
Position vectors
Column vector
Magnitude of a vector
Mid - point
Translation vector
By the end of the lesson, the learner should be able to:

define a position vector
illustrate position vectors on a Cartesian plane
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg.298

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