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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 OF SCHOOL AND REVISION

2 1
Indices and Logarithms
Logarithms of positive numbers less than 1
Antilogarithms
By the end of the lesson, the learner should be able to:

Find the logarithms of positive numbers less than 1
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 18    discovering secondary pg  15
2 2
Indices and Logarithms
Applications of logarithms
Roots
By the end of the lesson, the learner should be able to:

Use multiplication and division law of indices to find logarithms
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 20-22    discovering secondary pg  18
2 3
Indices and Logarithms
Roots
By the end of the lesson, the learner should be able to:

Find logarithms of root numbers 2
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 25    discovering secondary pg21
2 4
Gradient and equations of straight lines
Gradient
By the end of the lesson, the learner should be able to:

Find gradient of straight line
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 27-29     discovering secondary pg23
2 5
Gradient and equations of straight lines
Equation of a line
By the end of the lesson, the learner should be able to:

Find equation of a line passing through two points
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 34    discovering secondary pg 25
2 6
Gradient and equations of straight lines
Linear equation y=mx+c
The y-intercept
By the end of the lesson, the learner should be able to:

Find linear equations in the form y=mx+c
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 34-36    discovering secondary pg  27
3 1
Gradient and equations of straight lines
The graph of a straight line
Perpendicular lines
By the end of the lesson, the learner should be able to:

Draw the graph of a straight line
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book  Pg39-40                  discovering secondary pg 29
3 2
Gradient and equations of straight lines
Parallel lines
By the end of the lesson, the learner should be able to:

Determine the equation of parallel lines
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 43-44    discovering secondary pg 29
3 3
Reflection and congruence
Symmetry
Reflection
By the end of the lesson, the learner should be able to:

Find the lines of symmetry of shapes
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 46-47   Discovering secondary pg 32
3 4
Reflection and congruence
Some general deductions using reflection
By the end of the lesson, the learner should be able to:

Prove that vertically opposite angles are equal
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 56-57  Discovering secondary pg  34
3 5
Reflection and congruence
Congruence
By the end of the lesson, the learner should be able to:

Determine shapes that are congruent
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 61-62  Discovering secondary pg 39
3 6
Reflection and congruence
Congruent triangles
By the end of the lesson, the learner should be able to:

State the conditions that satisfy congruent triangles
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 63-64  Discovering secondary pg 39
4 1
Reflection and congruence
Rotation
The ambiguous case
Introduction
By the end of the lesson, the learner should be able to:

Determine the two angles that are congruent
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 67   Discovering secondary pg 41
4 2
Rotation
Centre of rotation
By the end of the lesson, the learner should be able to:

Determine the center of rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 73   Discovering secondary pg  46
4 3
Rotation
Angle of rotation
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:

Determine the angle of rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 74-75 Discovering secondary pg 46
4 4
Rotation
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:
Rotate objects about the 90
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 76  Discovering secondary pg 47
4 5
Rotation
Rotation in the Cartesian plane
Rotational symmetry of plane figures
By the end of the lesson, the learner should be able to:
Rotate objects about the +180
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 77   Discovering secondary pg 47
4 6
Rotation
Rotational symmetry of solids
Rotation and congruence
By the end of the lesson, the learner should be able to:

Determine the lines of symmetry of solids
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 82-84  Discovering secondary pg  50
5 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
KLB Mathematics
Book Two
Pg 87-88     Discovering secondary pg 52
5 2
Similarity and enlargement
Similar figures
Enlargement
By the end of the lesson, the learner should be able to:

Use ratio to calculate the lengths of similar figures
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 88-90    Discovering secondary pg 56
5 3
Similarity and enlargement
Enlarge objects
Linear scale factor
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
5 4
Similarity and enlargement
Linear scale factor
By the end of the lesson, the learner should be able to:

Use the linear scale factor to find lengths
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100-101   Discovering secondary pg 56
5 5
Similarity and enlargement
Negative scale factor
Positive and negative linear 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
Sets
KLB Mathematics
Book Two
Pg 104   Discovering secondary pg 59
5 6
Similarity and enlargement
Area scale factor
Area of scale factor
By the end of the lesson, the learner should be able to:

Determine the area scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 106-107  Discovering secondary pg  62
6 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
6 2
Similarity and enlargement
Volume scale factor
Area and volume scale factor
By the end of the lesson, the learner should be able to:

Use volume scale factor to solve problems
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 110-111   Discovering secondary pg 64
6 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
6 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
6 5
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
6 6
Trigonometry 
Angles and sides of a right angled triangle
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
KLB BK2 Pg 125, 139, 140  Discovering secondary pg  71
7 1
Trigonometry 
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:
Establish the relationship of sine and cosine of complimentary angles
Using established relationship to solve problems
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
KLB BK2 Pg 145
7 2
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
7 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
7 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
7 5
Trigonometry 
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations
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
Mathematical table
KLB BK2 Pg 149-152
7 6
Trigonometry 
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:
Calculate the are of a triangle given the base and height
Calculating the area of a triangle given the base and height
Chart illustrating worked problem Chalkboard
KLB BK2 Pg 155
8 1
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
8 2
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
8 3
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
8 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
8 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
8 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
9

MIDTERM EXAMS AND BREAK

10 1
Trigonometry 
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:
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
Models of a square based pyramid
KLB BK 2 Pg 177
10 2
Trigonometry 
Surface area of a Rectangular based Pyramid
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
KLB BK 2 Pg 179-180
10 3
Trigonometry 
Surface area of a cone using the formula A = ?r2 + rl
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 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
Models of frustrum of a cone and a pyramid
KLB BK 2 Pg 181
10 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
10 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
10 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
11 1
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
11 2
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
11 3
Trigonometry 
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(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
Models of hemisphere
KLB BK 2 Pg 195 
11 4
Trigonometry 
Application of area of triangles to real life
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
KLB BK 2 Pg 159
11 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
11 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
12 1
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
12 2
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
12 3
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
12 4
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
12 5
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
12 6
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
13 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
13 2
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
13 3
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
13 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
13 5
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
13 6
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
14

END OF TERM EXAMS AND CLOSING OF SCHOOL


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