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SCHEME OF WORK
Mathematics
Form 2 2025
TERM II
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

OPENING THE SCHOOL AND OPENER 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
Trigonometry 
Application to real life Situation
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
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Mathematical table
KLB BK2 Pg 159    Discovering secondary pg 67
2 3
Trigonometry 
Trigonometry Tangent, sine and cosines
Trigonometric Table
By the end of the lesson, the learner should be able to:
Define tangent, sine and cosine ratios from a right angles triangle
Defining what a tangent, Cosine and sine are using a right angled triangle
Charts illustrating tangent, sine and cosine
Mathematical table
KLB BK2 Pg 123,132,133   Discovering secondary pg   70
2 4-5
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
Establish the relationship of sine and cosine of complimentary angles
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
Using established relationship to solve problems
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  
KLB BK2 Pg 145
2 6
Trigonometry 
Relationship between tangent, sine and cosine
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
KLB BK2 Pg 145
2 7
Trigonometry 
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:
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
Chalkboard
KLB BK2 Pg 146-147
3 1
Trigonometry 
Logarithms of Sines
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
KLB BK2 Pg 149
3 2
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 3
Trigonometry 
Application of trigonometry to real life situations
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
KLB BK2 Pg 153-154
3 4-5
Trigonometry 
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:
Calculate the are of a triangle given the base and height
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c)
Calculating the area of a triangle given the base and height
Solving problems on the area of triangle given three sides of a triangle
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 155
KLB BK2 Pg 157-158
3 6
Trigonometry 
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:
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
KLB BK2 Pg 161-163
3 7
Trigonometry 
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:
Find the area of a kite
Calculating the area of a Kite
Model of a kite
Mathematical table Charts illustrating Polygons
KLB BK2 Pg 163
4 1
Trigonometry 
Area of irregular Polygon
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
KLB BK2 Pg 166
4 2
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 3
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 4-5
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 6
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 7
Trigonometry 
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 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
KLB BK 2 Pg 182
5 1
Trigonometry 
Finding the surface area of a sphere
Surface area of a Hemispheres
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
KLB BK 2 Pg 183
5 2
Trigonometry 
Volume of Solids Volume of prism (triangular based prism)
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
KLB BK 2 Pg 186
5 3
Trigonometry 
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 hexagonal based prism
Calculating the volume of an hexagonal prism
Models of hexagonal based prism
Models of square and Rectangular based Pyramids
KLB BK 2 Pg 187
5 4-5
Trigonometry 
Volume of a cone
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid
By the end of the lesson, the learner should be able to:
Find the volume of a cone
Find the volume of a frustrum of a cone
Finding the volume of a cone
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Model of a cone
Models of a frustrum of a cone
Models of frustrum of a pyramid
KLB BK 2 Pg 191
KLB BK 2 Pg 192
5 6
Trigonometry 
Volume of a sphere (v = 4/3?r3)
By the end of the lesson, the learner should be able to:
Find the volume of sphere given the radius of the sphere
Finding the volume of a Sphere
Model of a sphere Mathematical table
KLB BK 2 Pg 195 
5 7
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
6 1
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
6 2
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
6 3
Trigonometric Ratios
Application of tangents
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 4-5
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

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 6
Trigonometric Ratios
Complementary angles
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 7
Trigonometric Ratios
Application of Special angles
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
7 1
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
7 2
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
7 3
Trigonometric Ratios
Problem solving
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
7 4-5
Area of A Triangle
Area =
Solve problems involving =
A =?s(s-a) (s-b) (s-c)
By the end of the lesson, the learner should be able to:

derive the formula Area =

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 6
Area of A Triangle
Area of Quadrilaterals
Problem solving
Area of parallelogram
By the end of the lesson, the learner should be able to:

solve problems on 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 7
Area of Quadrilaterals
Area of Rhombus
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
KLB Maths Bk2 Pg. 161
8

MID-TERM BREAK AND MID-TERM EXAMS

9 1
Area of Quadrilaterals
Area of trapezium and kite
Area of regular polygons
By the end of the lesson, the learner should be able to:

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
Mathematical tables Chalkboard illustrations
KLB Maths Bk2 Pg. 162-163
9 2
Area of Quadrilaterals
Problem solving
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
KLB Maths Bk2 Pg. 165-166
9 3
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
9 4-5
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.

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
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
9 6
Surface Area of Solids
Surface area of prisms
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
KLB Maths Bk2 Pg. 177
9 7
Surface Area of Solids
Surface area of pyramid
Surface area of a cone
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
KLB Maths Bk2 Pg. 178
10 1
Surface Area of Solids
Surface area of frustrum with circular base
By the end of the lesson, the learner should be able to:

find the surface area of frustrum with circular base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Chart illustrating the surface area of a frustrum
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
10 2
Surface Area of Solids
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 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
KLB Maths Bk2 Pg. 181-183
10 3
Surface Area of Solids
Surface area of spheres
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
KLB Maths Bk2 Pg. 183
10 4-5
Surface Area of Solids
Volume of Solids
Problem solving
Volume of prism
Volume of pyramid
By the end of the lesson, the learner should be able to:

solve problems on surface area of solids

find the volume of a pyramid
Learners solve problems
Drawing pyramids
Making pyramids
Opening pyramids to
form nets
Discussions
Past paper questions
Prism
Pyramid
KLB Maths Bk2 Pg. 183

KLB Maths Bk2 Pg. 189-190
10 6
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 7
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
11 1
Volume of Solids
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 square base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with square base
Frustrum with rectangular base
KLB Maths Bk2 Pg. 192-193
11 2
Volume of Solids
Application to real life situation
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
KLB Maths Bk2 Pg. 193-194
11 3
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
11 4-5
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
identify and use 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
11 6
Quadratic Expressions and Equations
Factorise the Identities
Factorise other quadratic expressions
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
Chart illustrating factorization of a quadratic expression
KLB Maths Bk2 Pg. 205-208
11 7
Quadratic Expressions and Equations
Factorisation of expressions of the form k2-9y2
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
12

END-TERM EXAMS

13 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
13 2
Quadratic Expressions and Equations
The formation of quadratic equations
By the end of the lesson, the learner should be able to:
form quadratic equations from information
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208
13 3
Quadratic Expressions and 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 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. 208-210
13 4-5
Quadratic Expressions and Equations
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
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. 210

KLB Maths Bk2 Pg. 213-224
13 6
Linear Inequalities
Inequalities in one unknown
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
KLB Maths Bk2 Pg. 213-224
13 7
Linear Inequalities
Graphical representation
Graphical solutions of simultaneous linear inequalities
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
14 1
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
By the end of the lesson, the learner should be able to:
solve simultaneous linear inequalities 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
14 2
Linear Inequalities
Area of the wanted region
Inequalities from inequality graphs
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
14 3
Linear Inequalities
Problem solving.
By the end of the lesson, the learner should be able to:
solve problems on linear inequalities
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
14

CLOSING THE SCHOOL


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