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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
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
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
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
KLB BK2 Pg 145
2 6
Trigonometry 
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:
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
KLB BK2 Pg 145
2 7
Trigonometry 
Application of Trigonometric ratios in solving problems
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
KLB BK2 Pg 148
3 1
Trigonometry 
Logarithms of Sines
Logarithms of cosines And tangents
By the end of the lesson, the learner should be able to:
Read the logarithms of sines
Solving problems by reading logarithm table of sines
Chalkboard Mathematical tables
Chalkboard Mathematical table
KLB BK2 Pg 149
3 2
Trigonometry 
Reading tables of logarithms of sines, cosines and tangents
By the end of the lesson, the learner should be able to:
Read the logarithms of sines, cosines and tangents from tables
Solving problems through reading the table of logarithm of sines, cosines and tangents
Chalkboard Mathematical table
KLB BK2 Pg 149-152
3 3
Trigonometry 
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:
Solve problems in real life using trigonometry
Solving problems using trigonometry in real life
Mathematical table
Chart illustrating worked problem Chalkboard
KLB BK2 Pg 153-154
3 4
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)
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
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
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 156
3 5
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 6
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
3 7
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 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
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 2
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 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
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
KLB BK 2 Pg 176
4 4
Trigonometry 
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid
By the end of the lesson, the learner should be able to:
Find the total surface area of a square based pyramid
Finding the surface area of a square based pyramid
Models of a square based pyramid
Models of a Rectangular based pyramid
KLB BK 2 Pg 178
4 5
Trigonometry 
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 total surface area of the cone by first finding the area of the circular base and then the area of the curved surface
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Models of a cone
KLB BK 2 Pg 181
4 6
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 7
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
5 1
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 2
Trigonometry 
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 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
KLB BK 2 Pg 189-190
5 3
Trigonometry 
Volume of a cone
Volume of a frustrum of a cone
By the end of the lesson, the learner should be able to:
Find the volume of a cone
Finding the volume of a cone
Model of a cone
Models of a frustrum of a cone
KLB BK 2 Pg 191
5 4
Trigonometry 
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 Pyramid
Finding volume of a full pyramid Finding volume of cutoff pyramid Find volume of the remaining fig (frustrum) by subtracting i.e. Vf = (V ? v)
Models of frustrum of a pyramid
Model of a sphere Mathematical table
KLB BK 2 Pg 194
5 5
Trigonometry 
Volume of a Hemisphere {(v = ? (4/3?r3)}
By the end of the lesson, the learner should be able to:
Find the volume of a hemisphere
Working out the volume of a hemisphere
Models of hemisphere
Macmillan BK 2 Pg 173
5 6
Trigonometry 
Trigonometric Ratios
Application of area of triangles to real life
Tangent of an angle
By the end of the lesson, the learner should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation
Solving problems in real life using the knowledge of the area of triangle
Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables
KLB BK 2 Pg 159
5 7
Trigonometric Ratios
Tangent of an angle
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 1
Trigonometric Ratios
Using tangents in calculations
Application of tangents
By the end of the lesson, the learner should be able to:
calculate the size of an angle given two sides and an angle from tables
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 2
Trigonometric Ratios
The sine of an angle
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 3
Trigonometric Ratios
The cosine of an angle
Application of sine and cosine
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 4
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 5
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
6 6
Trigonometric Ratios
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan
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 7
Trigonometric Ratios
Application to real life situation
By the end of the lesson, the learner should be able to:

apply the knowledge of trigonometry to real life situations
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
7

Exam 1

8 1
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
8 2
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
8 3
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
8 4
Area of Quadrilaterals
Area of parallelogram
Area of Rhombus
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
Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
KLB Maths Bk2 Pg. 160
8 5
Area of Quadrilaterals
Area of trapezium and kite
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
KLB Maths Bk2 Pg. 162-163
8 6
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
8 7
Area of Part of a Circle
Area of a sector
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
KLB Maths Bk2 Pg. 167-169
9

MID TERM BREAK

10 1
Area of Part of a Circle
Area of a segment
Common region between two circles
By the end of the lesson, the learner should be able to:
find area of a segment
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
10 2
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 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
KLB Maths Bk2 Pg. 167-169
10 3
Area of Part of a Circle
Surface Area of Solids
Problem solving
Surface area of prisms
By the end of the lesson, the learner should be able to:

solve problems involving the area of part of a circle
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations
Prism Chalkboard illustrations
KLB Maths Bk2 Pg. 167-169
10 4
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 5
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 6
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 7
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
11 1
Surface Area of Solids
Volume of Solids
Problem solving
Volume of prism
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
Prism
KLB Maths Bk2 Pg. 183
11 2
Volume of Solids
Volume of pyramid
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
KLB Maths Bk2 Pg. 189-190
11 3
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
11 4
Volume of Solids
Volume of frustrum
Volume of frustrum with a square base
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a circular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with circular base
Frustrum with square base
KLB Maths Bk2 Pg. 192-193
11 5
Volume of Solids
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 rectangular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with rectangular base
KLB Maths Bk2 Pg. 192-193
11 6
Volume of Solids
Application to real life situation
Problem solving
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
KLB Maths Bk2 Pg. 193-194
11 7
Quadratic Expressions and Equations
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:
expand algebraic expressions
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 203
12 1
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
12 2
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
12 3
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
12 4
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
12 5
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
12 6
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
12 7
Quadratic Expressions and Equations
Forming quadratic equations from the roots
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
KLB Maths Bk2 Pg. 210
13

END TERM EXAM


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