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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 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
1 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
1 5
Trigonometry 
Trigonometry Tangent, sine and cosines
Trigonometric Table
Angles and sides of a right angled triangle
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
Mathematical table Charts Chalkboard
KLB BK2 Pg 123,132,133   Discovering secondary pg   70
1 6
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
1 7
Trigonometry 
Relationship between tangent, sine and cosine
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:
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
Chalkboard
KLB BK2 Pg 145
2 1
Trigonometry 
Logarithms of Sines
Logarithms of cosines And tangents
By the end of the lesson, the learner should be able to:
Read the logarithms of sines
Solving problems by reading logarithm table of sines
Chalkboard Mathematical tables
Chalkboard Mathematical table
KLB BK2 Pg 149
2 2
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
2 3
Trigonometry 
Area of a triangle Area of a triangle given the base and height (A = ? bh)
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:
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
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 155
2 4
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
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite
KLB BK2 Pg 161-163
2 5
Trigonometry 
Area of other polygons (regular polygon) e.g. Pentagon
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 a regular polygon
Calculating the area of a regular polygon
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors
KLB BK2 Pg 164
2 6
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
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
Charts illustrating common region between the circles Use of a mathematical table during calculation
KLB BK2 Pg 169-170
2 7
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
Area of a square based Pyramid
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
Models of a square based pyramid
KLB BK 2 Pg 176
3 1
Trigonometry 
Surface area of a Rectangular based Pyramid
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 surface area of a rectangular based pyramid
Finding the surface area of a rectangular based pyramid
Models of a Rectangular based pyramid
Models of a cone
KLB BK 2 Pg 179-180
3 2
Trigonometry 
Surface area of a frustrum of a cone and a pyramid
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 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
Models of a hemisphere
KLB BK 2 Pg 182
3 3
Trigonometry 
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle
By the end of the lesson, the learner should be able to:
Find the volume of a triangular based prism
Finding the volume of a triangular based prism
Models of a triangular based prism
Models of hexagonal based prism
KLB BK 2 Pg 186
3 4
Trigonometry 
Volume of a pyramid (square based and rectangular based)
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 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
Models of a frustrum of a cone
KLB BK 2 Pg 189-190
3 5
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
3 6
Trigonometry 
Trigonometric Ratios
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
Tangent of an angle
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
Protractor
Ruler
Right corners
Mathematical tables
Macmillan BK 2 Pg 173
3 7
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
4 1
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
4 2
Trigonometric Ratios
The cosine of an angle
Application of sine and cosine
Complementary angles
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
4 3
Trigonometric Ratios
Special angles
Application of 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
4 4
Trigonometric Ratios
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan
Application to real life situation
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
4 5
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
4 6
Area of A Triangle
Solve problems involving =
A =?s(s-a) (s-b) (s-c)
Problem solving
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
4 7
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
5 1
Area of Quadrilaterals
Area of trapezium and kite
Area of regular polygons
Problem solving
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
5 2
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
5 3
Area of Part of a Circle
Common region between two circles
Common region between two circles
Problem solving
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
Chart illustrating the area of a minor segment Chalkboard illustrations
KLB Maths Bk2 Pg. 167-169
5 4
Surface Area of Solids
Surface area of prisms
Surface area of pyramid
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
Pyramids with square base, rectangular base, triangular base
KLB Maths Bk2 Pg. 177
5 5
Surface Area of Solids
Surface area of a cone
Surface area of frustrum with circular base
By the end of the lesson, the learner should be able to:

find the surface area of a cone
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Cone
Chart illustrating the surface area of a frustrum
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
5 6
Surface Area of Solids
Surface area of frustrum with square base
Surface area of frustrum with rectangular base
Surface area of spheres
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
Chalkboard illustrations
KLB Maths Bk2 Pg. 181-183
5 7
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
6 1
Volume of Solids
Volume of pyramid
Volume of a cone
Volume of a sphere
By the end of the lesson, the learner should be able to:

find the volume of a pyramid
Drawing pyramids
Making pyramids
Opening pyramids to
form nets
Discussions
Pyramid
Cone
Sphere
KLB Maths Bk2 Pg. 189-190
6 2
Volume of Solids
Volume of frustrum
Volume of frustrum with a square base
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a circular base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with circular base
Frustrum with square base
KLB Maths Bk2 Pg. 192-193
6 3
Volume of Solids
Volume of frustrum with a rectangular base
Application to real life situation
Problem solving
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
Past paper questions
KLB Maths Bk2 Pg. 192-193
6 4
Quadratic Expressions and Equations
Expansion of Algebraic Expressions
Quadratic identities
By the end of the lesson, the learner should be able to:
expand algebraic expressions
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 203
6 5
Quadratic Expressions and Equations
Application of identities
Factorise the Identities
Factorise other quadratic expressions
By the end of the lesson, the learner should be able to:
identify and use the three Algebraic identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
Chart illustrating factorization of a quadratic expression
KLB Maths Bk2 Pg. 204-205
6 6
Quadratic Expressions and Equations
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation
By the end of the lesson, the learner should be able to:
factorise a difference of two squares
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
6 7
Quadratic Expressions and Equations
Solving quadratic equations
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
By the end of the lesson, the learner should be able to:
solve quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208
7 1
Quadratic Expressions and Equations
Solving on quadratic equations
Forming quadratic equations from the roots
By the end of the lesson, the learner should be able to:
solve problems on quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208-210
7 2
Linear Inequalities
Inequalities symbols
Number line
Inequalities in one unknown
By the end of the lesson, the learner should be able to:
identify and use inequality symbols
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
7 3
Linear Inequalities
Graphical representation
Graphical solutions of simultaneous linear inequalities
By the end of the lesson, the learner should be able to:
represent linear inequalities in one unknown graphically
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines Graph papers
Square boards
Negative and positive
numbers
Number lines
Graph papers
KLB Maths Bk2 Pg. 213-224
7 4
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
Area of the wanted region
By the end of the lesson, the learner should be able to:
solve simultaneous linear inequalities graphically
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
7 5
Linear Inequalities
Linear Motion
Inequalities from inequality graphs
Problem solving.
Displacement, velocity, speed and acceleration
By the end of the lesson, the learner should be able to:
form simple linear inequalities from inequality graphs
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224
7 6
Linear Motion
Distinguishing terms
Distinguishing velocity and acceleration
By the end of the lesson, the learner should be able to:
distinguish between distance and displacement, speed and velocity
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 228-238
7 7
Linear Motion
Distance time graphs
Interpret the velocity time graph
Interpreting graphs
By the end of the lesson, the learner should be able to:

plot and draw the distance time graphs
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
Drawn graphs
KLB Maths Bk2 Pg. 228-238
8

Mid- term break

9 1
Linear Motion
Relative speed (objects moving in the same direction)
Problem solving
By the end of the lesson, the learner should be able to:

solve problems on objects moving in different directions
Teacher/pupil discussion
Real life situation
Chalkboard illustrations
Past paper questions
KLB
Maths Bk2
Pg.329
9 2
Statistics
Definition
Collection and organization of data
Frequency tables
By the end of the lesson, the learner should be able to:

define statistics
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
9 3
Statistics
Grouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:
group data into reasonable classes
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
9 4
Statistics
Median of ungrouped data
Mean of ungrouped data
Median of a grouped data modal class
By the end of the lesson, the learner should be able to:
calculate the median of ungrouped data and state the mode
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
9 5
Statistics
Data Representation. Line graphs
Bar graphs
By the end of the lesson, the learner should be able to:
represent data in form of a line graph
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
9 6
Statistics
Pictogram
Histograms
Frequency polygons
By the end of the lesson, the learner should be able to:
represent data in form of pictures
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Pictures which are whole, half, quarter
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data
KLB Maths Bk2 Pg. 241-252
9 7
Statistics
Histograms with uneven distribution
Interpretation of data
By the end of the lesson, the learner should be able to:

draw histograms with uneven distribution
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Data with uneven classes
Real life situations
KLB Maths Bk2 Pg. 241-252
10 1
Statistics
Angle Properties of a Circle
Angle Properties of a Circle
Problem solving
Arc chord segment
Angles subtended by the same arc in the same segment
By the end of the lesson, the learner should be able to:

solve problems on statistics
Problem solving
Past paper questions
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal
KLB Maths Bk2 Pg. 241-252
10 2
Angle Properties of a Circle
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference
By the end of the lesson, the learner should be able to:

relate and compute angle subtended by an arc of a centre and at the circumference
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
10 3
Angle Properties of a Circle
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

state the angle properties of a cyclic quadrilateral
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
10 4
Angle Properties of a Circle
Exterior angle property
Problem solving
Problem solving
By the end of the lesson, the learner should be able to:

apply the exterior angle property
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
different parts Past paper questions
different parts Past paper questions
KLB Maths Bk2 Pg. 264-278
10 5
Vectors
Definition and Representation of vectors
Equivalent vectors
By the end of the lesson, the learner should be able to:
define a vector and a scalar, use vector notation and represent vectors.
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 284-285
10 6
Vectors
Addition of vectors
Multiplication of vectors
Position vectors
By the end of the lesson, the learner should be able to:
add vectors
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 286-289
10 7
Vectors
Column vector
Magnitude of a vector
Mid - point
Translation vector
By the end of the lesson, the learner should be able to:

write a vector as a column vector
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 296-297

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