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Mathematics
Form 2 2025
TERM I
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1 4
Indices and Logarithms
Indices
Negative indices
By the end of the lesson, the learner should be able to:
State the laws of indices
Find the negative indices
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 7-8           discovering secondary pg  10
1 5
Indices and Logarithms
Fractional indices
Logarithms
By the end of the lesson, the learner should be able to:
Find the fractional indices
Write numbers in logarithms and vice versa
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 9-11    discovering secondary pg 12
1 6
Indices and Logarithms
Standard form
Powers of 10 and common logarithms
By the end of the lesson, the learner should be able to:
Write standard form of numbers
Read from the table logarithms of numbers
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 15    discovering secondary pg  13
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
Find the antilogarithms of numbers
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
Use log tables to find roots of numbers
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
Gradient
By the end of the lesson, the learner should be able to:
Find gradient of straight line
State the type of gradient
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
Linear equation y=mx+c
By the end of the lesson, the learner should be able to:
Find equation of a line passing through two points
Find linear equations in the form y=mx+c
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
The y-intercept
The graph of a straight line
By the end of the lesson, the learner should be able to:
Find the y-intercept
Draw the graph of a straight line
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 36-37     Discovering secondary pg 27
3 1
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
Determine the equation of parallel lines
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 41-42      discovering secondary pg 30
3 2
Reflection and congruence
Symmetry
Reflection
By the end of the lesson, the learner should be able to:
Find the lines of symmetry of shapes
Draw an image under reflection
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 46-47   Discovering secondary pg 32
3 3
Reflection and congruence
Some general deductions using reflection
Some general deductions using reflection
By the end of the lesson, the learner should be able to:
Prove that vertically opposite angles are equal
Deduce some general rules of reflection
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 56-57  Discovering secondary pg  34
3 4
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 5
Reflection and congruence
Congruent triangles
Congruent triangles
By the end of the lesson, the learner should be able to:
State the conditions that satisfy congruent triangles
Determine the congruent triangles
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 63-64  Discovering secondary pg 39
3 6
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
Draw an image of an object under rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 67   Discovering secondary pg 41
4 1
Rotation
Centre of rotation
Angle of rotation
By the end of the lesson, the learner should be able to:
Determine the center of rotation
Determine the angle of rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 73   Discovering secondary pg  46
4 2
Rotation
Rotation in the Cartesian plane
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:
Rotate objects about the origin
Rotate objects about the 90
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 75   Discovering secondary pg 47
4 3
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
State the order of rotational symmetry
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 77   Discovering secondary pg 47
4 4
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 5
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
Calculate lengths of objects
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 84       Discovering secondary pg  50
4 6
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
Enlarge an object
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 88-90    Discovering secondary pg 56
5 1
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
Determine the linear scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 97-99  Discovering secondary pg 53
5 2
Similarity and enlargement
Linear scale factor
Negative scale factor
By the end of the lesson, the learner should be able to:
Use the linear scale factor to find lengths
Find the negative scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100-101   Discovering secondary pg 56
5 3
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
Determine the area scale factor
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 105-106  Discovering secondary pg  60
5 4
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
5 5
Similarity and enlargement
Volume scale factor
Volume scale factor
By the end of the lesson, the learner should be able to:
Determine the volume scale factor
Use volume scale factor to solve problems
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 109-110  Discovering secondary pg 64
5 6
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
Derive Pythagoras Theorem
Defining
Discussions
Solving problem
Explaining
Deriving Pythagoras Theorem
Apparatus
Books
Videos
Charts
Chalkboard Charts Illustrating derived theorem
KLB Mathematics
Book Two
Pg 111-112  Discovering secondary pg 64
6

Midterm exam

7 1
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
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life
Solving problems using Pythagoras theorem
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Charts illustrating Pythagoras theorem
Mathematical table
KLB BK2 Pg 121   Discovering secondary pg 67
7 2
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
Use trigonometric tables to find the sine, cosine and tangent
Defining what a tangent, Cosine and sine are using a right angled triangle
Reading trigonometric tables of sines, cosines and tangent
Charts illustrating tangent, sine and cosine
Mathematical table
KLB BK2 Pg 123,132,133   Discovering secondary pg   70
7 3
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
Establish the relationship of sine and cosine of complimentary angles
Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent
Using established relationship to solve problems
Mathematical table Charts Chalkboard
Chalkboards
KLB BK2 Pg 125, 139, 140  Discovering secondary pg  
7 4
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
Relate the three trigonometric ratios, the sine, cosine and tangent
Solving problems involving the sines and cosines of complimentary angles
Relating the three trigonometric ratios
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio
KLB BK2 Pg 145
7 5
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
7 6
Trigonometry 
Application of Trigonometric ratios in solving problems
Logarithms of Sines
By the end of the lesson, the learner should be able to:
Solve trigonometric problems without using tables
Read the logarithms of sines
Solving trigonometric problems of special angles
Solving problems by reading logarithm table of sines
Chalkboard
Chalkboard Mathematical tables
KLB BK2 Pg 148
8 1
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
Read the logarithms of sines, cosines and tangents from tables
Reading logarithms of cosine and tangent from mathematical table
Solving problems through reading the table of logarithm of sines, cosines and tangents
Chalkboard Mathematical table
KLB BK2 Pg 150-152
8 2
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
Calculate the are of a triangle given the base and height
Solving problems using trigonometry in real life
Calculating the area of a triangle given the base and height
Mathematical table
Chart illustrating worked problem Chalkboard
KLB BK2 Pg 153-154
8 3
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
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c)
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
Solving problems on the area of triangle given three sides of a triangle
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

Midterm break

9 1
Trigonometry 
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite
By the end of the lesson, the learner should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Find the area of a kite
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a Kite
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite
KLB BK2 Pg 161-163
9 2
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
9 3
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
- 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 irregular polygons
Finding the area of a minor and a major sector of a circle
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors
KLB BK2 Pg 166
9 4
Trigonometry 
Defining a segment of a circle Finding the area of a segment of a circle
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:
- Define what a segment of a circle is - Find the area of a segment of a circle
Find the area of common region between two circles given the angles ? Education Plus Agencies
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 ?
Calculating the area of a segment
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
KLB BK2 Pg 169-170
9 5
Trigonometry 
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
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
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism
Finding the area of a common region between two intersecting
Defining a prism Calculating the surface area of the prisms
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms
KLB BK 2 Pg 176
9 6
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
Find the surface area of a rectangular based pyramid
Finding the surface area of a square based pyramid
Finding the surface area of a rectangular based pyramid
Models of a square based pyramid
Models of a Rectangular based pyramid
KLB BK 2 Pg 178
10 1
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
Find the surface area of a frustrum of a cone and pyramid
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Finding the surface area of a frustrum of a cone and a pyramid
Models of a cone
Models of frustrum of a cone and a pyramid
KLB BK 2 Pg 181
10 2
Trigonometry 
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 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
KLB BK 2 Pg 183
10 3
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
Find the volume of a triangular based prism
Finding the surface area of a hemisphere
Finding the volume of a triangular based prism
Models of a hemisphere
Models of a triangular based prism
KLB BK 2 Pg 184
10 4
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
Find the volume of a square based pyramid and rectangular based pyramid
Calculating the volume of an hexagonal prism
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 hexagonal based prism
Models of square and Rectangular based Pyramids
KLB BK 2 Pg 187
10 5
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
Find the volume of a frustrum of a cone
Finding the volume of a cone
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Model of a cone
Models of a frustrum of a cone
KLB BK 2 Pg 191
10 6
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
Find the volume of sphere given the radius of the sphere
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)
Finding the volume of a Sphere
Models of frustrum of a pyramid
Model of a sphere Mathematical table
KLB BK 2 Pg 194
11

End of term exams

12 1
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
Use the knowledge of the area of triangles in solving problems in real life situation
Working out the volume of a hemisphere
Solving problems in real life using the knowledge of the area of triangle
Models of hemisphere
Mathematical table Chart illustrating formula used
Macmillan BK 2 Pg 173
12 2
Trigonometric Ratios
Tangent of an angle
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

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
12 3
Trigonometric Ratios
Using tangents in calculations
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 4
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
findthesineofananglebycalculationsandthroughtables
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
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
applysinestoworkoutlengthsandangles.Applycosinetoworkoutlengthandangles
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
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

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
13 1
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

solve problems using logarithms of sines cosines and tangents
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Measuring lengths/angles
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
13 2
Trigonometric Ratios
Relationship between sin, cos and tan
Application to real life situation
By the end of the lesson, the learner should be able to:

relate sin, cos and tan that is tan?=sin?
cos?
Solve problems using the relationship
applytheknowledgeoftrigonometrytoreallifesituations
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
13 3
Trigonometric Ratios
Problem solving
By the end of the lesson, the learner should be able to:

solve problems on trigonometry
Problem solving
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122

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