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SCHEME OF WORK
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
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 2
Gradient and equations of straight lines
Gradient
Equation of a line
Linear equation y=mx+c
The y-intercept
By the end of the lesson, the learner should be able to:

State the type of gradient
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 30-32     discovering secondary pg 23
2 3
Gradient and equations of straight lines
The graph of a straight line
Perpendicular lines
Parallel lines
By the end of the lesson, the learner should be able to:

Draw the graph of a straight line
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book  Pg39-40                  discovering secondary pg 29
2 4
Reflection and congruence
Symmetry
Reflection
Some general deductions using 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
Sets
KLB Mathematics
Book Two
Pg 46-47   Discovering secondary pg 32
2 5
Reflection and congruence
Some general deductions using reflection
Congruence
Congruent triangles
Congruent triangles
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 1
Reflection and congruence
Rotation
Rotation
The ambiguous case
Introduction
Centre of rotation
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 2
Rotation
Angle of rotation
Rotation in the Cartesian plane
Rotation in the Cartesian plane
Rotation in the Cartesian plane
By the end of the lesson, the learner should be able to:

Determine the angle of rotation
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 74-75 Discovering secondary pg 46
3 3
Rotation
Rotational symmetry of plane figures
Rotational symmetry of solids
Rotation and congruence
By the end of the lesson, the learner should be able to:

State the order of rotational symmetry
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 78-80  Discovering secondary pg 49
3 4
Similarity and enlargement
Similar figures
Enlargement
Enlarge objects
By the end of the lesson, the learner should be able to:

Calculate lengths of objects
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 87-88     Discovering secondary pg 52
3 5
Similarity and enlargement
Linear scale factor
Negative 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
4 1
Similarity and enlargement
Positive and negative linear scale factor
Area scale factor
Area of 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
4 2
Similarity and enlargement
Trigonometry 
Volume scale factor
Area and volume scale factor
Pythagoras Theorem
By the end of the lesson, the learner should be able to:

Determine the volume scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Chalkboard Charts Illustrating derived theorem
KLB Mathematics
Book Two
Pg 109-110  Discovering secondary pg 64
4 3
Trigonometry 
Solutions of problems Using Pythagoras Theorem
Application to real life Situation
Trigonometry Tangent, sine and cosines
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
Charts illustrating tangent, sine and cosine
KLB BK2 Pg 121   Discovering secondary pg 67
4 4
Trigonometry 
Trigonometric Table
Angles and sides of a right angled triangle
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:
Use trigonometric tables to find the sine, cosine and tangent
Reading trigonometric tables of sines, cosines and tangent
Mathematical table
Mathematical table Charts Chalkboard
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
4 5
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
5 1
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
5 2
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?)
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:
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
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
KLB BK2 Pg 153-154
5 3
Trigonometry 
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
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:
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
Mathematical table Charts illustrating Polygons
KLB BK2 Pg 161-163
5 4
Trigonometry 
Area of irregular Polygon
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
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 irregular polygons
Finding the area of irregular polygons
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
KLB BK2 Pg 166
5 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
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
6 1
Trigonometry 
Surface area of a Rectangular based Pyramid
Surface area of a cone using the formula A = ?r2 + ?rl
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 rectangular based pyramid
Finding the surface area of a rectangular based pyramid
Models of a Rectangular based pyramid
Models of a cone
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 179-180
6 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
6 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
6 4
Trigonometry 
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3)
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 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
Models of hemisphere
Mathematical table Chart illustrating formula used
KLB BK 2 Pg 194
6 5
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
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
7 1
Trigonometric Ratios
Application of tangents
The sine of an angle
The cosine of an angle
Application of sine and cosine
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
7 2
Trigonometric Ratios
Complementary angles
Special angles
Application of Special angles
By the end of the lesson, the learner should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
7 3
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
7 4
Trigonometric Ratios
Area of A Triangle
Area of A Triangle
Area of A Triangle
Problem solving
Area =
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 on trigonometry
Problem solving
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
7 5
Area of A Triangle
Area of Quadrilaterals
Area of Quadrilaterals
Problem solving
Area of parallelogram
Area of Rhombus
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
8 1
Area of Quadrilaterals
Area of Part of a Circle
Area of trapezium and kite
Area of regular polygons
Problem solving
Area of a sector
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
Circles
Chart illustrating the area of a sector
KLB Maths Bk2 Pg. 162-163
8 2
Area of Part of a Circle
Area of a segment
Common region between two circles
Common region between two circles
By the end of the lesson, the learner should be able to:
find area of a segment
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
8 3
Area of Part of a Circle
Surface Area of Solids
Surface Area of Solids
Surface Area of Solids
Problem solving
Surface area of prisms
Surface area of pyramid
Surface area of a cone
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
Cone
KLB Maths Bk2 Pg. 167-169
8 4
Surface Area of Solids
Surface area of frustrum with circular base
Surface area of frustrum with square base
Surface area of frustrum with rectangular base
By the end of the lesson, the learner should be able to:

find the surface area of frustrum with circular base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
8 5
Surface Area of Solids
Volume of Solids
Surface area of spheres
Problem solving
Volume of prism
By the end of the lesson, the learner should be able to:

find the surface area of a sphere
Sketching spheres
Making spheres
Measuring diameters/
radii of spheres
Discussions
Chalkboard illustrations
Past paper questions
Prism
KLB Maths Bk2 Pg. 183
9 1
Volume of Solids
Volume of pyramid
Volume of a cone
Volume of a sphere
Volume of frustrum
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
Frustrum with circular base
KLB Maths Bk2 Pg. 189-190
9 2
Volume of Solids
Volume of frustrum with a square base
Volume of frustrum with a rectangular base
Application to real life situation
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a square base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with square base
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
KLB Maths Bk2 Pg. 192-193
9 3
Volume of Solids
Quadratic Expressions and Equations
Quadratic Expressions and Equations
Quadratic Expressions and Equations
Problem solving
Expansion of Algebraic Expressions
Quadratic identities
Application of identities
By the end of the lesson, the learner should be able to:

solve problems on volume of solids
Making cones/frustums
Opening cones/frustums
to form nets
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 196
9 4
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
9 5
Quadratic Expressions and Equations
Simplification of an expression by factorisation
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:
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
10 1
Quadratic Expressions and Equations
Linear Inequalities
Solving on quadratic equations
Forming quadratic equations from the roots
Inequalities symbols
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
Number lines
Graph papers
Square boards
Negative and positive numbers
KLB Maths Bk2 Pg. 208-210
10 2
Linear Inequalities
Number line
Inequalities in one unknown
Graphical representation
By the end of the lesson, the learner should be able to:
illustrate inequalities on a number line
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 3
Linear Inequalities
Graphical solutions of simultaneous linear inequalities
Area of the wanted region
Inequalities from inequality graphs
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 4
Linear Inequalities
Linear Motion
Linear Motion
Problem solving.
Displacement, velocity, speed and acceleration
Distinguishing terms
By the end of the lesson, the learner should be able to:
solve problems on linear inequalities
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 5
Linear Motion
Distinguishing velocity and acceleration
Distance time graphs
Interpret the velocity time graph
Interpreting graphs
By the end of the lesson, the learner should be able to:
determine velocity and acceleration
Learners determine velocity and acceleration
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
Drawn graphs
KLB Maths Bk2 Pg. 228-238
11 1
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 2
Statistics
Collection and organization of data
Frequency tables
Grouped data
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 3
Statistics
Mean of ungrouped data
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 mean of ungrouped 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
Interpretation of data
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
Real life situations
KLB Maths Bk2 Pg. 241-252
12 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
12 2
Angle Properties of a Circle
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
Cyclic quadrilateral
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
12 3
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
12 4
Vectors
Definition and Representation of vectors
Equivalent vectors
Addition of 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
12 5
Vectors
Multiplication of vectors
Position vectors
Column vector
Magnitude of a vector
Mid - point
Translation vector
By the end of the lesson, the learner should be able to:
multiply a vector and a scalar
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. 290

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