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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 1
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 2
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 3
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 4
Trigonometry 
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine
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
Charts showing the three related trigonometric ratio
KLB BK2 Pg 145
1 5
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
1 6
Trigonometry 
Logarithms of Sines
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 logarithms of sines
Solving problems by reading logarithm table of sines
Chalkboard Mathematical tables
Chalkboard Mathematical table
KLB BK2 Pg 149
2 1
Trigonometry 
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?)
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
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
KLB BK2 Pg 153-154
2 2
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
2 3
Trigonometry 
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon
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
Charts illustrating various irregular polygons Polygonal shapes
KLB BK2 Pg 163
2 4
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
2 5
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
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:
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
Models of cylinder, triangular and hexagonal prisms
KLB BK 2 Pg 175
2 6
Trigonometry 
Area of a square based Pyramid
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 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
Models of a cone
KLB BK 2 Pg 178
3 1
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
3 2
Trigonometry 
Surface area of a Hemispheres
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 surface area of a hemisphere
Finding the surface area of a hemisphere
Models of a hemisphere
Models of a triangular based prism
Models of hexagonal based prism
KLB BK 2 Pg 184
3 3
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 4
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 5
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 6
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
Application of tangents
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
The sine of an angle
The cosine 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
4 2
Trigonometric Ratios
Application of sine and cosine
Complementary angles
Special 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
4 3
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
4 4
Trigonometric Ratios
Relationship between sin, cos and tan
Application to real life situation
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
4 5
Area of A Triangle
Area =
Solve problems involving =
A =?s(s-a) (s-b) (s-c)
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
4 6
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
5 1
Area of Quadrilaterals
Area of Rhombus
Area of trapezium and kite
Area of regular polygons
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
Mathematical tables Chalkboard illustrations
KLB Maths Bk2 Pg. 161
5 2
Area of Quadrilaterals
Area of Part of a Circle
Area of Part of a Circle
Problem solving
Area of a sector
Area of a segment
By the end of the lesson, the learner should be able to:

solve problems on area of quadrilaterals and other polygons
Learners solve problems
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Circles
Chart illustrating the area of a sector
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 165-166
5 3
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
5 4
Area of Part of a Circle
Surface Area of Solids
Surface Area of Solids
Problem solving
Surface area of prisms
Surface area of pyramid
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
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base
KLB Maths Bk2 Pg. 167-169
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
6 1
Surface Area of Solids
Volume of Solids
Volume of Solids
Problem solving
Volume of prism
Volume of pyramid
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
Pyramid
KLB Maths Bk2 Pg. 183
6 2
Volume of Solids
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 cone
Making cones/frustums
Opening cones/frustums
to form nets
Cone
Sphere
KLB Maths Bk2 Pg. 191
6 3
Volume of Solids
Volume of frustrum
Volume of frustrum with a square base
Volume of frustrum with a rectangular 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
Frustrum with rectangular base
KLB Maths Bk2 Pg. 192-193
6 4
Volume of Solids
Quadratic Expressions and Equations
Application to real life situation
Problem solving
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:
apply the knowledge of volume of solids to real life situations.
Making cones/frustums
Opening cones/frustums
to form nets
Models of pyramids, prism, cones and spheres
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 193-194
6 5
Quadratic Expressions and Equations
Quadratic identities
Application of identities
By the end of the lesson, the learner should be able to:

derive the three Algebraic identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 204-205
6 6
Quadratic Expressions and Equations
Factorise the Identities
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2
By the end of the lesson, the learner should be able to:
factorise the 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. 205-208
7 1
Quadratic Expressions and Equations
Simplification of an expression by factorisation
Solving quadratic equations
The formation of quadratic equations
By the end of the lesson, the learner should be able to:
simplify a quadratic expression by factorisation
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 205-208
7 2
Quadratic Expressions and Equations
Formation and solving of quadratic equations from word problems
Solving on quadratic equations
By the end of the lesson, the learner should be able to:
form and solve quadratic equations from word problems
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208-210
7 3
Quadratic Expressions and Equations
Linear Inequalities
Linear Inequalities
Forming quadratic equations from the roots
Inequalities symbols
Number line
By the end of the lesson, the learner should be able to:
form quadratic equations given the roots of the equation
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 210
7-8

Mid Term Exams

9

Mid Term Break

10 1
Linear Inequalities
Inequalities in one unknown
Graphical representation
By the end of the lesson, the learner should be able to:
solve linear inequalities in one unknown and state the integral values
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
10 2
Linear Inequalities
Graphical solutions of simultaneous 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 the linear inequalities in two unknowns 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
10 3
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
10 4
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
10 5
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
10 6
Linear Motion
Statistics
Relative speed (objects moving in the same direction)
Problem solving
Definition
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
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB
Maths Bk2
Pg.329
11 1
Statistics
Collection and organization of data
Frequency tables
By the end of the lesson, the learner should be able to:
collect and organize data
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
11 2
Statistics
Grouped data
Mean of ungrouped data
Median 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
11 3
Statistics
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 mean of a grouped data
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
11 4
Statistics
Data Representation. Line graphs
Bar graphs
Pictogram
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
Pictures which are whole, half, quarter
KLB Maths Bk2 Pg. 241-252
11 5
Statistics
Histograms
Frequency polygons
Histograms with uneven distribution
By the end of the lesson, the learner should be able to:
represent data in form of histograms
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
Histograms drawn. Data
Data with uneven classes
KLB Maths Bk2 Pg. 241-252
11 6
Statistics
Interpretation of data
Problem solving
By the end of the lesson, the learner should be able to:
interpret data from real life situation
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Real life situations
Past paper questions
KLB Maths Bk2 Pg. 241-252
12 1
Angle Properties of a Circle
Arc chord segment
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference
By the end of the lesson, the learner should be able to:
identify an arc, chord and segment
Discussions
Drawing circles
Measuring radii/
diameters/angles
Identifying the parts of a
circle
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
KLB Maths Bk2 Pg. 264-278
12 2
Angle Properties of a Circle
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

state the angle in the semi-circle
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
12 3
Angle Properties of a Circle
Exterior angle property
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
KLB Maths Bk2 Pg. 264-278
12 4
Angle Properties of a Circle
Vectors
Vectors
Problem solving
Definition and Representation of vectors
Equivalent vectors
By the end of the lesson, the learner should be able to:
state all the properties and use them selectively to solve missing angles.
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts Past paper questions
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 264-278
12 5
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
12 6
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
13-14

End term Examinations


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