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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
2 1
Indices and Logarithms
Roots
By the end of the lesson, the learner should be able to:

Use log tables to find roots of numbers
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 24-25     discovering secondary pg 21 
2 2
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 3
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 4
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
2 5
Gradient and equations of straight lines
The graph of a straight line
By the end of the lesson, the learner should be able to:

Draw the graph of a straight line
Sets
Books
Videos
Charts
KLB Mathematics
Book  Pg39-40                  discovering secondary pg 29
2 6
Gradient and equations of straight lines
Perpendicular lines
Parallel lines
By the end of the lesson, the learner should be able to:

Determine the equation of perpendicular lines
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 41-42      discovering secondary pg 30
2 7
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 1
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
KLB Mathematics
Book Two
Pg 56-57  Discovering secondary pg  34
3 2
Reflection and congruence
Some general deductions using reflection
Congruence
By the end of the lesson, the learner should be able to:

Deduce some general rules of reflection
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 57-59   Discovering secondary pg 37
3 3
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
3 4
Reflection and congruence
The ambiguous case
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
3 5
Rotation
Introduction
Centre of rotation
By the end of the lesson, the learner should be able to:

Draw an image of an object under rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 71-73  Discovering secondary pg 44
3 6
Rotation
Angle of rotation
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
3 7
Rotation
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:

Rotate objects about the origin
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 75   Discovering secondary pg 47
4 1
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 2
Rotation
Rotational symmetry of solids
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
4

Cat 1 exams

5 1
Rotation
Similarity and enlargement
Rotation and congruence
Similar figures
By the end of the lesson, the learner should be able to:

Determine the relationship between rotation and congruence
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 84       Discovering secondary pg  50
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
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:

Determine the linear scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100    Discovering secondary pg  54
5 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
5 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
5 7
Similarity and enlargement
Area of scale factor
Volume 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
6 1
Similarity and enlargement
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 2
Similarity and enlargement
Trigonometry 
Area and volume scale factor
Pythagoras Theorem
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
Chalkboard Charts Illustrating derived theorem
KLB Mathematics
Book Two
Pg 111-112  Discovering secondary pg 64
6 3
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 4
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
6 5
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
6 6
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
6 7
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
7 1
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
7 2
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
7 3
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
7 4
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
7 5
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
7 6
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
7 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
8 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
8 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
8

Mid term exam

9 1
Trigonometry 
Area of a common region between two circles given the angles and the radii
By the end of the lesson, the learner should be able to:
Find the area of common region between two circles given the angles ? Education Plus Agencies
Calculating the area of a segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
KLB BK 2 Pg 175
9 2
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
9 3
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
9 4
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
9 5
Trigonometry 
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere
By the end of the lesson, the learner should be able to:
Find the surface area of a frustrum of a cone and pyramid
Finding the surface area of a frustrum of a cone and a pyramid
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
KLB BK 2 Pg 182
9 6
Trigonometry 
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism)
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
Models of a triangular based prism
KLB BK 2 Pg 184
9 7
Trigonometry 
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 hexagonal based prism
Calculating the volume of an hexagonal prism
Models of hexagonal based prism
KLB BK 2 Pg 187
10 1
Trigonometry 
Volume of a pyramid (square based and rectangular based)
Volume of a cone
By the end of the lesson, the learner should be able to:
Find the volume of a square based pyramid and rectangular based pyramid
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
Models of square and Rectangular based Pyramids
Model of a cone
KLB BK 2 Pg 189-190
10 2
Trigonometry 
Volume of a frustrum of a cone
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
KLB BK 2 Pg 192
10 3
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
10 4
Trigonometry 
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
By the end of the lesson, the learner should be able to:
Find the volume of a hemisphere
Working out the volume of a hemisphere
Models of hemisphere
Mathematical table Chart illustrating formula used
Macmillan BK 2 Pg 173
10 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
10 6
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
By the end of the lesson, the learner should be able to:

find the tangent of an angle from tables
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
10 7
Trigonometric Ratios
Application of tangents
The sine of an angle
By the end of the lesson, the learner should be able to:

work out further problems using tangents
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
11 1
Trigonometric Ratios
The cosine of an angle
By the end of the lesson, the learner should be able to:

find the cosine of an angle by calculations and through tables
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
11 2
Trigonometric Ratios
Application of sine and cosine
Complementary angles
By the end of the lesson, the learner should be able to:

apply sines to work out lengths and angles. Apply cosine to work out length and angles
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
11 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
11 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
11 5
Trigonometric Ratios
Relationship between sin, cos and tan
Problem solving
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
11 6
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
11 7
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
12 1
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
12 2
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
12 3
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
12 4
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
12 5
Area of Part of a Circle
Area of a sector
Area of a segment
By the end of the lesson, the learner should be able to:

find area of a sector
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a sector
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 167-169
12 6
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
12 7
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
13

End term exam


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