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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
1

Reporting and Revisions of last term Exams

2 1
Trigonometry 
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem
By the end of the lesson, the learner should be able to:
Derive Pythagoras Theorem
Deriving Pythagoras Theorem
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem
KLB BK2 Pg 120   Discovering secondary pg 67
2 2-3
Trigonometry 
Application to real life Situation
Trigonometry Tangent, sine and cosines
Trigonometric Table
By the end of the lesson, the learner should be able to:
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life
Use trigonometric tables to find the sine, cosine and tangent
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Reading trigonometric tables of sines, cosines and tangent
Mathematical table
Charts illustrating tangent, sine and cosine
KLB BK2 Pg 159    Discovering secondary pg 67
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
2 4
Trigonometry 
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 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
KLB BK2 Pg 125, 139, 140  Discovering secondary pg  
2 5
Trigonometry 
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine
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
KLB BK2 Pg 145
2 6
Trigonometry 
Trigonometric ratios of special angles 30, 45, 60 and 90
By the end of the lesson, the learner should be able to:
Determine the trigonometric ratios of special angles without using tables
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
KLB BK2 Pg 146-147
2 7
Trigonometry 
Application of Trigonometric ratios in solving problems
Logarithms of Sines
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
KLB BK2 Pg 148
3 1
Trigonometry 
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 logarithm of cosines and tangents from mathematical tables
Reading logarithms of cosine and tangent from mathematical table
Chalkboard Mathematical table
KLB BK2 Pg 150-152
3 2-3
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?)
By the end of the lesson, the learner should be able to:
Solve problems in real life using trigonometry
Calculate the are of a triangle given the base and height
Solving problems using trigonometry in real life
Calculating the area of a triangle given the base and height
Mathematical table
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
KLB BK2 Pg 153-154
KLB BK2 Pg 155
3 4
Trigonometry 
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:
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c)
Solving problems on the area of triangle given three sides of a triangle
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 157-158
3 5
Trigonometry 
Area of a kite
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
KLB BK2 Pg 163
3 6
Trigonometry 
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 regular polygon
Calculating the area of a regular polygon
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
KLB BK2 Pg 164
3 7
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
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
KLB BK 2 Pg 167
4 1
Trigonometry 
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 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
KLB BK 2 Pg 175
4 2-3
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
Find the total surface area of a square based pyramid
Finding the area of a common region between two intersecting
Finding the surface area of a square based pyramid
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
KLB BK 2 Pg 178
4 4
Trigonometry 
Surface area of a Rectangular based Pyramid
Surface area of a cone using the formula A = ?r2 + ?rl
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
KLB BK 2 Pg 179-180
4 5
Trigonometry 
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere
By the end of the lesson, the learner should be able to:
Find the surface area of a frustrum of a cone and pyramid
Finding the surface area of a frustrum of a cone and a pyramid
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
KLB BK 2 Pg 182
4 6
Trigonometry 
Surface area of a Hemispheres
By the end of the lesson, the learner should be able to:
Find the surface area of a hemisphere
Finding the surface area of a hemisphere
Models of a hemisphere
KLB BK 2 Pg 184
4 7
Trigonometry 
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle
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
KLB BK 2 Pg 186
5 1
Trigonometry 
Volume of a pyramid (square based and rectangular based)
Volume of a cone
By the end of the lesson, the learner should be able to:
Find the volume of a square based pyramid and rectangular based pyramid
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
Models of square and Rectangular based Pyramids
Model of a cone
KLB BK 2 Pg 189-190
5 2-3
Trigonometry 
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 frustrum of a cone
Find the volume of a frustrum of a Pyramid
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
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 a frustrum of a cone
Models of frustrum of a pyramid
Model of a sphere Mathematical table
KLB BK 2 Pg 192
KLB BK 2 Pg 194
5 4
Trigonometry 
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
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
Macmillan BK 2 Pg 173
5 5
Trigonometric Ratios
Tangent of an angle
By the end of the lesson, the learner should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
5 6
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
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
5 7
Trigonometric Ratios
Application of tangents
The sine of an angle
By the end of the lesson, the learner should be able to:

work out further problems using tangents
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
The cosine of an angle
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
6 2-3
Trigonometric Ratios
Application of sine and cosine
Complementary angles
Special angles
Application of 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

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 4
Trigonometric Ratios
Logarithms of sines, cosines and tangents
By the end of the lesson, the learner should be able to:

solve problems using logarithms of sines cosines and tangents
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
Trigonometric Ratios
Relationship between sin, cos and tan
Application to real life situation
By the end of the lesson, the learner should be able to:

relate sin, cos and tan that is tan?=sin?
cos?
Solve problems using the relationship
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 6
Trigonometric Ratios
Area of A Triangle
Problem solving
Area =
By the end of the lesson, the learner should be able to:

solve problems on trigonometry
Problem solving
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 7
Area of A Triangle
Solve problems involving =
By the end of the lesson, the learner should be able to:

solve problems involving area of triangles using the formula Area =
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 155-157
7 1
Area of A Triangle
A =?s(s-a) (s-b) (s-c)
Problem solving
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
KLB Maths Bk2 Pg. 155-157
7 2-3
Area of Quadrilaterals
Area of parallelogram
Area of Rhombus
Area of trapezium and kite
By the end of the lesson, the learner should be able to:

find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles

solve problems on the area of a regular polygon
Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
KLB Maths Bk2 Pg. 160

KLB Maths Bk2 Pg. 162-163
7 4
Area of Quadrilaterals
Area of regular polygons
Problem solving
By the end of the lesson, the learner should be able to:

find the area of a regular polygon by using the formula A=
Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables Chalkboard illustrations
Mathematical tables
KLB Maths Bk2 Pg. 119-122
7 5
Area of Part of a Circle
Area of a sector
Area of a segment
By the end of the lesson, the learner should be able to:

find area of a sector
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a sector
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 167-169
7 6
Area of Part of a Circle
Common region between two circles
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
KLB Maths Bk2 Pg. 167-169
7 7
Area of Part of a Circle
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 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
KLB Maths Bk2 Pg. 167-169
8

Midterm break

9 1
Surface Area of Solids
Surface area of prisms
Surface area of pyramid
By the end of the lesson, the learner should be able to:
find the surface area of a prism.
Drawing prisms
Measuring lengths
Opening prisms to form
nets
Discussions
Calculating area
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base
KLB Maths Bk2 Pg. 177
9 2-3
Surface Area of Solids
Surface area of a cone
Surface area of frustrum with circular base
Surface area of frustrum with square base
By the end of the lesson, the learner should be able to:

find the surface area of a cone

find the surface area of frustrum with circular base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Cone
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
9 4
Surface Area of Solids
Surface area of frustrum with rectangular base
Surface area of spheres
By the end of the lesson, the learner should be able to:

find the surface area of frustrum with rectangular base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations
KLB Maths Bk2 Pg. 181-183
9 5
Surface Area of Solids
Problem solving
By the end of the lesson, the learner should be able to:

solve problems on surface area of solids
Learners solve problems
Past paper questions
KLB Maths Bk2 Pg. 183
9 6
Volume of Solids
Volume of prism
Volume of pyramid
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
KLB Maths Bk2 Pg. 186-188
9 7
Volume of Solids
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 cone
Making cones/frustums
Opening cones/frustums
to form nets
Cone
Sphere
KLB Maths Bk2 Pg. 191
10 1
Volume of Solids
Volume of frustrum
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
KLB Maths Bk2 Pg. 192-193
10 2-3
Volume of Solids
Volume of frustrum with a square base
Volume of frustrum with a rectangular base
Application to real life situation
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a square base
apply the knowledge of volume of solids to real life situations.
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with square base
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
KLB Maths Bk2 Pg. 192-193

KLB Maths Bk2 Pg. 193-194
10 4
Volume of Solids
Quadratic Expressions and Equations
Problem solving
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:

solve problems on volume of solids
Making cones/frustums
Opening cones/frustums
to form nets
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 196
10 5
Quadratic Expressions and Equations
Quadratic identities
Application of 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 6
Quadratic Expressions and Equations
Factorise the Identities
By the end of the lesson, the learner should be able to:
factorise the identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
10 7
Quadratic Expressions and Equations
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2
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
11 1
Quadratic Expressions and Equations
Simplification of an expression by factorisation
Solving quadratic equations
By the end of the lesson, the learner should be able to:
simplify a quadratic expression by factorisation
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
11 2-3
Quadratic Expressions and 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:
form quadratic equations from information
form and solve quadratic equations from word problems
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208

KLB Maths Bk2 Pg. 208-210
11 4
Quadratic Expressions and Equations
Linear Inequalities
Forming quadratic equations from the roots
Inequalities symbols
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
KLB Maths Bk2 Pg. 210
11 5
Linear Inequalities
Number line
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
KLB Maths Bk2 Pg. 213-224
11 6
Linear Inequalities
Inequalities in one unknown
Graphical representation
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
11 7
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
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
12 1
Linear Inequalities
Area of the wanted region
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
12 2-3
Linear Inequalities
Linear Motion
Inequalities from inequality graphs
Problem solving.
Displacement, velocity, speed and acceleration
Distinguishing terms
By the end of the lesson, the learner should be able to:
form simple linear inequalities from inequality graphs
Define displacement, speed velocity and acceleration
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Teacher/pupil discussion
Plotting graphs
Drawing graphs
Number lines
Graph papers
Square boards
Negative and positive
numbers
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224

KLB Maths Bk2 Pg. 228-238
12 4
Linear Motion
Distinguishing velocity and acceleration
By the end of the lesson, the learner should be able to:
determine velocity and acceleration
Learners determine velocity and acceleration
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 228-238
12 5
Linear Motion
Distance time graphs
Interpret the velocity time graph
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
KLB Maths Bk2 Pg. 228-238
12 6
Linear Motion
Interpreting graphs
Relative speed (objects moving in the same direction)
By the end of the lesson, the learner should be able to:
interpret graphs of linear motion
Learners interpret graphs
Drawn graphs
Real life situation
Chalkboard illustrations
KLB
Maths Bk2
Pg.334
12 7
Linear Motion
Problem solving
By the end of the lesson, the learner should be able to:

solve problems on linear motion
Question answer method
Past paper questions
KLB
Maths Bk2
Pg.330
13

End of term 11 Exams

14

Closure of the school


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