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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 1-2
Trigonometry 
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem
Application to real life Situation
Trigonometry Tangent, sine and cosines
Trigonometric Table
By the end of the lesson, the learner should be able to:
Derive Pythagoras Theorem
Solve problems using Pythagoras Theorem
Deriving Pythagoras Theorem
Solving problems using Pythagoras theorem
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem
Mathematical table
Charts illustrating tangent, sine and cosine
KLB BK2 Pg 120   Discovering secondary pg 67
KLB BK2 Pg 121   Discovering secondary pg 67
3
Trigonometry 
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 the sine, cosine and tangent in calculating the length of a right angled triangle and also finding the angle given two sides and unknown angle The length can be obtained if one side is given and an angle
Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent
Mathematical table Charts Chalkboard
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
KLB BK2 Pg 125, 139, 140  Discovering secondary pg  
4
Trigonometry 
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems
Logarithms of Sines
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
Chalkboard Mathematical tables
KLB BK2 Pg 145
3 1-2
Trigonometry 
Logarithms of cosines And tangents
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)
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
By the end of the lesson, the learner should be able to:
Read the logarithm of cosines and tangents from mathematical tables
Calculate the are of a triangle given the base and height
Reading logarithms of cosine and tangent from mathematical table
Calculating the area of a triangle given the base and height
Chalkboard Mathematical table
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
Charts illustrating formula used in calculating the areas of the quadrilateral
KLB BK2 Pg 150-152
KLB BK2 Pg 155
3
Trigonometry 
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:
Find the area of a kite
Calculating the area of a Kite
Model of a kite
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
KLB BK2 Pg 163
4
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
Area of a common region between two circles given only the radii of the two circles and a common chord
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
Charts illustrating common region between two intersecting circles
KLB BK 2 Pg 167
4 1-2
Trigonometry 
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid
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
Finding the surface area of a sphere
Surface area of a Hemispheres
By the end of the lesson, the learner should be able to:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism
Find the total surface area of the cone by first finding the area of the circular base and then the area of the curved surface
Defining a prism Calculating the surface area of the prisms
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid
Models of a Rectangular based pyramid
Models of a cone
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere
KLB BK 2 Pg 177
KLB BK 2 Pg 181
3
Trigonometry 
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based)
By the end of the lesson, the learner should be able to:
Find the volume of a triangular based prism
Finding the volume of a triangular based prism
Models of a triangular based prism
Models of hexagonal based prism
Models of square and Rectangular based Pyramids
KLB BK 2 Pg 186
4
Trigonometry 
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 cone
Finding the volume of a cone
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 191
5 1-2
Trigonometry 
Trigonometric Ratios
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
Tangent of an angle
Tangent of an angle
Using tangents in calculations
Application of tangents
The sine of an angle
By the end of the lesson, the learner should be able to:
Find the volume of a hemisphere

find the tangent of an angle from tables
Working out the volume of a hemisphere
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Models of hemisphere
Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables
Macmillan BK 2 Pg 173
KLB Maths Bk2 Pg. 119-122
3
Trigonometric Ratios
The cosine of an angle
Application of sine and cosine
Complementary angles
By the end of the lesson, the learner should be able to:

find the cosine 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
4
Trigonometric Ratios
Special angles
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:

find the sine, cos, and tan of 300,600,450,00,900, without using 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 1-2
Trigonometric Ratios
Area of A Triangle
Area of A Triangle
Area of Quadrilaterals
Application to real life situation
Problem solving
Area =
Solve problems involving =
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:

apply the knowledge of trigonometry to real life situations

solve problems involving area of triangles using the formula Area =
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
Parallelograms
Trapeziums
Polygons
Squares/rectangles
KLB Maths Bk2 Pg. 119-122

KLB Maths Bk2 Pg. 155-157
3
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
4
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 1-2
Area of Part of a Circle
Surface Area of Solids
Common region between two circles
Problem solving
Surface area of prisms
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 area of the common region between two circles and solve problems related to that

find the surface area of a pyramid
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Drawing pyramids
Measuring lengths/
angles
Opening pyramids to
form nets
Discussions
Calculating area
Circles
Chart illustrating the area of a minor segment
Chart illustrating the area of a minor segment Chalkboard illustrations
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base
Cone
Chart illustrating the surface area of a frustrum
KLB Maths Bk2 Pg. 167-169

KLB Maths Bk2 Pg. 178
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
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 1-2
Volume of Solids
Volume of Solids
Quadratic Expressions and Equations
Volume of a sphere
Volume of frustrum
Volume of frustrum with a square base
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 sphere
apply the knowledge of volume of solids to real life situations.
Identifying spheres
Sketching spheres
Measuring radii/
diameters
Discussions
Making cones/frustums
Opening cones/frustums
to form nets
Sphere
Frustrum with circular base
Frustrum with square base
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 195

KLB Maths Bk2 Pg. 193-194
3
Quadratic Expressions and Equations
Quadratic identities
Application of identities
Factorise the Identities
Factorise other quadratic expressions
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
Chart illustrating factorization of a quadratic expression
KLB Maths Bk2 Pg. 204-205
4
Quadratic Expressions and Equations
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation
Solving quadratic equations
By the end of the lesson, the learner should be able to:
factorise a difference of two squares
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
9 1-2
Quadratic Expressions and Equations
Linear Inequalities
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
Solving on quadratic equations
Forming quadratic equations from the roots
Inequalities symbols
Number line
Inequalities in one unknown
By the end of the lesson, the learner should be able to:
form quadratic equations from information
identify and use inequality symbols
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Real-life experiences
Worked out
expressions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 208

KLB Maths Bk2 Pg. 213-224
3
Linear Inequalities
Graphical representation
Graphical solutions of simultaneous 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:
represent linear inequalities in one unknown 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
Number lines
Graph papers
KLB Maths Bk2 Pg. 213-224
4
Linear Inequalities
Linear Motion
Inequalities from inequality graphs
Problem solving.
Displacement, velocity, speed and acceleration
By the end of the lesson, the learner should be able to:
form simple linear inequalities from inequality graphs
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224
10 1-2
Linear Motion
Distinguishing terms
Distinguishing velocity and acceleration
Distance time graphs
Interpret the velocity time graph
Interpreting graphs
Relative speed (objects moving in the same direction)
Problem solving
By the end of the lesson, the learner should be able to:
distinguish between distance and displacement, speed and velocity
interpret graphs of linear motion
Plotting graphs
Drawing graphs
Learners interpret graphs
Graph papers
Stones
Pieces of paper
Drawn graphs
Drawn graphs
Real life situation
Chalkboard illustrations
Past paper questions
KLB Maths Bk2 Pg. 228-238

KLB
Maths Bk2
Pg.334
3
Statistics
Definition
Collection and organization of data
Frequency tables
Grouped data
By the end of the lesson, the learner should be able to:

define statistics
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
4
Statistics
Mean of ungrouped data
Median of ungrouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:
calculate the mean of ungrouped data
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 1-2
Statistics
Median of a grouped data modal class
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:

state the modal class and calculate the median of a grouped data.
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
3
Statistics
Angle Properties of a Circle
Angle Properties of a Circle
Interpretation of data
Problem solving
Arc chord segment
Angles subtended by the same arc in the same 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
Chart illustrating Angles subtended by the same arc in same segment are equal
KLB Maths Bk2 Pg. 241-252
4
Angle Properties of a Circle
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

relate and compute angle subtended by an arc of a centre and at the circumference
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
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 1-2
Angle Properties of a Circle
Vectors
Cyclic quadrilateral
Exterior angle property
Problem solving
Problem solving
Definition and Representation of vectors
Equivalent vectors
Addition of vectors
By the end of the lesson, the learner should be able to:

find and compute angles of a cyclic quadrilateral
define a vector and a scalar, use vector notation and represent vectors.
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
Circles showing the
different parts
different parts Past paper questions
different parts Past paper questions
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 264-278

KLB Maths Bk2 Pg. 284-285
3
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:
multiply a vector and a scalar
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. 290

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