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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
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
Reflection and congruence
Rotation
Rotation
The ambiguous case
Introduction
Centre of rotation
By the end of the lesson, the learner should be able to:

Determine the two angles that are congruent
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 67   Discovering secondary pg 41
2 5-6
Rotation
Angle of rotation
Rotation in the Cartesian plane
Rotation in the Cartesian plane
Rotation in the Cartesian plane
Rotational symmetry of plane figures
Rotational symmetry of solids
By the end of the lesson, the learner should be able to:

Determine the angle of rotation
Rotate objects about the +180
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 74-75 Discovering secondary pg 46
KLB Mathematics
Book Two
Pg 77   Discovering secondary pg 47
3 1
Rotation
Similarity and enlargement
Similarity and enlargement
Rotation and congruence
Similar figures
Similar figures
By the end of the lesson, the learner should be able to:

Determine the relationship between rotation and congruence
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 84       Discovering secondary pg  50
3 2
Similarity and enlargement
Enlargement
Enlarge objects
Linear scale factor
By the end of the lesson, the learner should be able to:

Enlarge an object
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 97  Discovering secondary pg 57
3 3
Similarity and enlargement
Linear scale factor
Negative scale factor
Positive and negative linear scale factor
By the end of the lesson, the learner should be able to:

Use the linear scale factor to find lengths
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 100-101   Discovering secondary pg 56
3 4
Similarity and enlargement
Area scale factor
Area of scale factor
Volume scale factor
By the end of the lesson, the learner should be able to:

Determine the area scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 106-107  Discovering secondary pg  62
3 5-6
Similarity and enlargement
Trigonometry 
Volume scale factor
Area and volume scale factor
Pythagoras Theorem
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:

Use volume scale factor to solve problems
Solve problems using Pythagoras Theorem
Defining
Discussions
Solving problem
Explaining
Solving problems using Pythagoras theorem
Apparatus
Books
Videos
Charts
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem
Mathematical table
Charts illustrating tangent, sine and cosine
KLB Mathematics
Book Two
Pg 110-111   Discovering secondary pg 64
KLB BK2 Pg 121   Discovering secondary pg 67
4 1
Trigonometry 
Trigonometric Table
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine 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
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
4 2
Trigonometry 
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90
By the end of the lesson, the learner should be able to:
Use the relationship of sine and cosine of complimentary angles in solving problems
Solving problems involving the sines and cosines of complimentary angles
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
KLB BK2 Pg 145
4 3
Trigonometry 
Application of Trigonometric ratios in solving problems
Logarithms of Sines
Logarithms of cosines And tangents
By the end of the lesson, the learner should be able to:
Solve trigonometric problems without using tables
Solving trigonometric problems of special angles
Chalkboard
Chalkboard Mathematical tables
Chalkboard Mathematical table
KLB BK2 Pg 148
4 4
Trigonometry 
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh)
By the end of the lesson, the learner should be able to:
Read the logarithms of sines, cosines and tangents from tables
Solving problems through reading the table of logarithm of sines, cosines and tangents
Chalkboard Mathematical table
Mathematical table
Chart illustrating worked problem Chalkboard
KLB BK2 Pg 149-152
4 5-6
Trigonometry 
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
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
Area of irregular Polygon
By the end of the lesson, the learner should be able to:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle
Find the area of a kite
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
Calculating the area of a Kite
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
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
KLB BK2 Pg 156
KLB BK2 Pg 163
5 1
Trigonometry 
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
Area of a common region between two circles given the angles and the radii
By the end of the lesson, the learner should be able to:
- Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle
Finding the area of a minor and a major sector of a circle
Charts illustrating sectors
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
KLB BK 2 Pg 167
5 2
Trigonometry 
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:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles
Finding the area of a common region between two intersecting
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 176
5 3
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 4
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 5-6
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
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3)
By the end of the lesson, the learner should be able to:
Find the volume of a hexagonal based prism
Find the volume of a frustrum of a cone
Calculating the volume of an hexagonal prism
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Models of hexagonal based prism
Models of square and Rectangular based Pyramids
Model of a cone
Models of a frustrum of a cone
Models of frustrum of a pyramid
Model of a sphere Mathematical table
KLB BK 2 Pg 187
KLB BK 2 Pg 192
6 1
Trigonometry 
Trigonometric Ratios
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
Tangent of an angle
By the end of the lesson, the learner should be able to:
Find the volume of a hemisphere
Working out the volume of a hemisphere
Models of hemisphere
Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables
Macmillan BK 2 Pg 173
6 2
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
Application of tangents
By the end of the lesson, the learner should be able to:

find the tangent of 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 3
Trigonometric Ratios
The sine of an angle
The cosine of an angle
Application of sine and cosine
By the end of the lesson, the learner should be able to:

find the sine of an angle by calculations and through 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 4
Trigonometric Ratios
Complementary angles
Special angles
Application of Special angles
By the end of the lesson, the learner should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 5-6
Trigonometric Ratios
Trigonometric Ratios
Area of A Triangle
Area of A Triangle
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan
Application to real life situation
Problem solving
Area =
Solve problems involving =
By the end of the lesson, the learner should be able to:

solve problems using logarithms of sines cosines and tangents

solve problems on trigonometry
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Problem solving
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
7 1
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
7 2
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
7 3
Area of Quadrilaterals
Area of Part of a Circle
Area of Part of a Circle
Problem solving
Area of a sector
Area of a segment
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 4
Area of Part of a Circle
Common region between two circles
Common region between two circles
Problem solving
By the end of the lesson, the learner should be able to:
find the area of the common region between two circles.
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
KLB Maths Bk2 Pg. 167-169
7 5-6
Surface Area of Solids
Surface area of prisms
Surface area of pyramid
Surface area of a cone
Surface area of frustrum with circular base
Surface area of frustrum with square base
Surface area of frustrum with rectangular base
By the end of the lesson, the learner should be able to:
find the surface area of a prism.

find the surface area of frustrum with circular base
Drawing prisms
Measuring lengths
Opening prisms to form
nets
Discussions
Calculating area
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base
Cone
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base
KLB Maths Bk2 Pg. 177

KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
8

Mid term cat and half-term

9 1
Surface Area of Solids
Volume of Solids
Surface area of spheres
Problem solving
Volume of prism
By the end of the lesson, the learner should be able to:

find the surface area of a sphere
Sketching spheres
Making spheres
Measuring diameters/
radii of spheres
Discussions
Chalkboard illustrations
Past paper questions
Prism
KLB Maths Bk2 Pg. 183
9 2
Volume of Solids
Volume of pyramid
Volume of a cone
Volume of a sphere
By the end of the lesson, the learner should be able to:

find the volume of a pyramid
Drawing pyramids
Making pyramids
Opening pyramids to
form nets
Discussions
Pyramid
Cone
Sphere
KLB Maths Bk2 Pg. 189-190
9 3
Volume of Solids
Volume of frustrum
Volume of frustrum with a square base
Volume of frustrum with a rectangular base
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a circular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with circular base
Frustrum with square base
Frustrum with rectangular base
KLB Maths Bk2 Pg. 192-193
9 4
Volume of Solids
Quadratic Expressions and Equations
Application to real life situation
Problem solving
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:
apply the knowledge of volume of solids to real life situations.
Making cones/frustums
Opening cones/frustums
to form nets
Models of pyramids, prism, cones and spheres
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 193-194
9 5-6
Quadratic Expressions and Equations
Quadratic identities
Application of identities
Factorise the Identities
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:

derive the three Algebraic identities
factorise quadratic expressions
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
Chart illustrating factorization of a quadratic expression
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 204-205

KLB Maths Bk2 Pg. 119-122
10 1
Quadratic Expressions and Equations
Solving quadratic equations
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
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 2
Quadratic Expressions and Equations
Linear Inequalities
Solving on quadratic equations
Forming quadratic equations from the roots
Inequalities symbols
By the end of the lesson, the learner should be able to:
solve problems on quadratic equations
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
KLB Maths Bk2 Pg. 208-210
10 3
Linear Inequalities
Number line
Inequalities in one unknown
Graphical representation
By the end of the lesson, the learner should be able to:
illustrate inequalities on a number line
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 4
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
Area of the wanted region
By the end of the lesson, the learner should be able to:
solve the linear inequalities in two unknowns graphically
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
10 5-6
Linear Inequalities
Linear Motion
Inequalities from inequality graphs
Problem solving.
Displacement, velocity, speed and acceleration
Distinguishing terms
Distinguishing velocity and acceleration
Distance time graphs
By the end of the lesson, the learner should be able to:
form simple linear inequalities from inequality graphs
distinguish between distance and displacement, speed and velocity
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Plotting graphs
Drawing graphs
Number lines
Graph papers
Square boards
Negative and positive
numbers
Stones
Pieces of paper
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224

KLB Maths Bk2 Pg. 228-238
11 1
Linear Motion
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:
interpret a velocity time graph
Learners interpret a velocity time graph
Drawn graphs
Real life situation
Chalkboard illustrations
KLB
Maths Bk2
Pg.333
11 2
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 3
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 4
Statistics
Median of ungrouped data
Mean of ungrouped data
Median of a grouped data modal class
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 5-6
Statistics
Data Representation. Line graphs
Bar graphs
Pictogram
Histograms
Frequency polygons
Histograms with uneven distribution
By the end of the lesson, the learner should be able to:
represent data in form of a line graph
represent data in form of histograms
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
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data
Data with uneven classes
KLB Maths Bk2 Pg. 241-252
12 1
Statistics
Angle Properties of a Circle
Interpretation of data
Problem solving
Arc chord segment
By the end of the lesson, the learner should be able to:
interpret data from real life situation
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Real life situations
Past paper questions
Chart illustrating arc chord and segment
KLB Maths Bk2 Pg. 241-252
12 2
Angle Properties of a Circle
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference
By the end of the lesson, the learner should be able to:

relate and compute angles subtended by an arc of a circle at the circumference
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
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
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
12 3
Angle Properties of a Circle
Cyclic quadrilateral
Exterior angle property
By the end of the lesson, the learner should be able to:

state the angle properties of a cyclic quadrilateral
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
Vectors
Problem solving
Problem solving
Definition and Representation of vectors
By the end of the lesson, the learner should be able to:

solve problems on angle properties of a circle
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts Past paper questions
different parts Past paper questions
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 264-278
12 5-6
Vectors
Equivalent vectors
Addition of vectors
Multiplication of 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:
identify equivalent vectors

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. 285

KLB Maths Bk2 Pg.298

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