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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 REVISION

2 1
Similarity and enlargement
Similar figures
By the end of the lesson, the learner should be able to:

Calculate lengths of objects
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 87-88     Discovering secondary pg 52
2 2
Similarity and enlargement
Enlargement
By the end of the lesson, the learner should be able to:

Enlarge an object
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 97  Discovering secondary pg 57
2 3
Similarity and enlargement
Enlarge objects
By the end of the lesson, the learner should be able to:

Draw the object and its image under enlargement
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 97-99  Discovering secondary pg 53
2 4
Similarity and enlargement
Linear scale factor
By the end of the lesson, the learner should be able to:

Determine the linear scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100    Discovering secondary pg  54
2 5
Similarity and enlargement
Negative scale factor
By the end of the lesson, the learner should be able to:

Find the negative scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 104   Discovering secondary pg 59
2 6
Similarity and enlargement
Positive and negative linear scale factor
Area scale factor
By the end of the lesson, the learner should be able to:

Solve problems on linear scale factor
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 105-106  Discovering secondary pg  60
2 7
Similarity and enlargement
Area of scale factor
By the end of the lesson, the learner should be able to:

Use area scale factor to solve problems
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 108   Discovering secondary pg 64
3 1
Similarity and enlargement
Volume scale factor
By the end of the lesson, the learner should be able to:

Determine the volume scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 109-110  Discovering secondary pg 64
3 2
Similarity and enlargement
Area and volume scale factor
By the end of the lesson, the learner should be able to:

Solve problems on area and volume scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 111-112  Discovering secondary pg 64
3 3
Trigonometry 
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
KLB BK2 Pg 120   Discovering secondary pg 67
3 4
Trigonometry 
Solutions of problems Using Pythagoras Theorem
Application to real life Situation
By the end of the lesson, the learner should be able to:
Solve problems using Pythagoras Theorem
Solving problems using Pythagoras theorem
Charts illustrating Pythagoras theorem
Mathematical table
KLB BK2 Pg 121   Discovering secondary pg 67
3 5
Trigonometry 
Trigonometry Tangent, sine and cosines
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
KLB BK2 Pg 123,132,133   Discovering secondary pg   70
3 6
Trigonometry 
Trigonometric Table
Angles and sides of a right angled triangle
By the end of the lesson, the learner should be able to:
Use trigonometric tables to find the sine, cosine and tangent
Reading trigonometric tables of sines, cosines and tangent
Mathematical table
Mathematical table Charts Chalkboard
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
3 7
Trigonometry 
Establishing Relationship of sine and cosine of complimentary angles
By the end of the lesson, the learner should be able to:
Establish the relationship of sine and cosine of complimentary angles
Using established relationship to solve problems
Chalkboards
KLB BK2 Pg 145
4 1
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
4 2
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
4 3
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
4 4
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
4 5
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
4 6
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
4 7
Trigonometry 
Area of a triangle using the formula (A = ? absin?)
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
KLB BK2 Pg 156
5 1
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
5 2
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
5 3
Trigonometry 
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 regular polygon
Calculating the area of a regular polygon
Mathematical table Charts illustrating Polygons
KLB BK2 Pg 164
5 4
Trigonometry 
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector)
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
Charts illustrating sectors
KLB BK2 Pg 166
5 5
Trigonometry 
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:
- Define what a segment of a circle is - Find the area of a segment of a circle
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
Chart illustrating a Segment
KLB BK2 Pg 169-170
5 6
Trigonometry 
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 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
Charts illustrating common region between two intersecting circles
KLB BK 2 Pg 175
5 7
Trigonometry 
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:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism
Defining a prism Calculating the surface area of the prisms
Models of cylinder, triangular and hexagonal prisms
KLB BK 2 Pg 177
6 1
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
6 2
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
6 3
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
6 4
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
6 5
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
6 6
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
6 7
Trigonometry 
Volume 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
KLB BK 2 Pg 191
7 1
Trigonometry 
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 frustrum of a cone
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Models of a frustrum of a cone
Models of frustrum of a pyramid
KLB BK 2 Pg 192
7 2
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 
7 3
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
7 4
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
7 5
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
7 6
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
7 7
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
8 1
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
8 2
Trigonometric Ratios
Complementary 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
8 3
Trigonometric Ratios
Special angles
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
8 4
Trigonometric Ratios
Application of Special angles
Logarithms of sines, cosines and tangents
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
8 5
Trigonometric Ratios
Relationship between sin, cos and tan
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
8 6
Trigonometric Ratios
Application to real life situation
Problem solving
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
8 7
Area of A Triangle
Area =
By the end of the lesson, the learner should be able to:

derive the formula Area =
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 155-157
9

MID-TERM EXAMS AND BREAK

10 1
Area of A Triangle
Solve problems involving =
A =?s(s-a) (s-b) (s-c)
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
10 2
Area of A Triangle
Problem solving
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
KLB Maths Bk2 Pg. 155-157
10 3
Area of Quadrilaterals
Area of parallelogram
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
10 4
Area of Quadrilaterals
Area of Rhombus
Area of trapezium and kite
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
10 5
Area of Quadrilaterals
Area of regular polygons
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
KLB Maths Bk2 Pg. 119-122
10 6
Area of Quadrilaterals
Area of Part of a Circle
Problem solving
Area of a sector
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
KLB Maths Bk2 Pg. 165-166
10 7
Area of Part of a Circle
Area of a segment
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
11 1
Area of Part of a Circle
Common region between two circles
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
11 2
Area of Part of a Circle
Problem solving
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
KLB Maths Bk2 Pg. 167-169
11 3
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
11 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
11 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
11 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
11 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
12 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
12 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
12 3
Volume of Solids
Volume of a cone
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
KLB Maths Bk2 Pg. 191
12 4
Volume of Solids
Volume of a sphere
Volume of frustrum
By the end of the lesson, the learner should be able to:

find the volume of a sphere
Identifying spheres
Sketching spheres
Measuring radii/
diameters
Discussions
Sphere
Frustrum with circular base
KLB Maths Bk2 Pg. 195
12 5
Volume of Solids
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 square base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with square base
KLB Maths Bk2 Pg. 192-193
12 6
Volume of Solids
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 rectangular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
KLB Maths Bk2 Pg. 192-193
12 7
Volume of Solids
Problem solving
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
KLB Maths Bk2 Pg. 196
13-14

END TERM EXAMS AND CLOSING


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