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

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

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

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

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

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

Trigonometry 

Reading tables of logarithms of sines, cosines and tangents
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:
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
Chart illustrating worked problem Chalkboard

KLB BK2 Pg 149-152

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)
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:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle

Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle

Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
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 156

Trigonometry 

Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon

By the end of the lesson, the learner should be able to:
Find the area of a kite

Calculating the area of a Kite

Model of a kite
Mathematical table Charts illustrating Polygons

KLB BK2 Pg 163

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

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

KLB BK2 Pg 166

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

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

KLB BK 2 Pg 175

Trigonometry 

Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
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:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism

Defining a prism Calculating the surface area of the prisms

Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid
Models of a Rectangular based pyramid

KLB BK 2 Pg 177

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

Finding the area of the circular part Finding the area of the curved part Getting the total surface Area

Models of a cone
Models of frustrum of a cone and a pyramid

KLB BK 2 Pg 181

Trigonometry 

Finding the surface area of a sphere
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 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
Models of a hemisphere
Models of a triangular based prism

KLB BK 2 Pg 183

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

Calculating the volume of an hexagonal prism

Models of hexagonal based prism
Models of square and Rectangular based Pyramids

KLB BK 2 Pg 187

Trigonometry 

Volume of a cone
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid

By the end of the lesson, the learner should be able to:
Find the volume of a cone

Finding the volume of a cone

Model of a cone
Models of a frustrum of a cone
Models of frustrum of a pyramid

KLB BK 2 Pg 191

Trigonometry 

Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)}

By the end of the lesson, the learner should be able to:
Find the volume of sphere given the radius of the sphere

Finding the volume of a Sphere

Model of a sphere Mathematical table
Models of hemisphere

KLB BK 2 Pg 195 

Trigonometry 
Trigonometric Ratios
Trigonometric Ratios

Application of area of triangles to real life
Tangent of an angle
Tangent of an angle

By the end of the lesson, the learner should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation

Solving problems in real life using the knowledge of the area of triangle

Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables

KLB BK 2 Pg 159

Trigonometric Ratios

Using tangents in calculations
Application of tangents
The sine of an angle

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

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

Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 119-122

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

Trigonometric Ratios

Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan

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

Trigonometric Ratios
Area of A Triangle

Application to real life situation
Problem solving
Area =

By the end of the lesson, the learner should be able to:

apply the knowledge of trigonometry to real life situations

Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 119-122

Area of A Triangle

Solve problems involving =
A =?s(s-a) (s-b) (s-c)

By the end of the lesson, the learner should be able to:

solve problems involving area of triangles using the formula Area =

Discussions
Drawing triangles
Measuring lengths/angles
Calculating area

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 155-157

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

Area of Quadrilaterals

Area of trapezium and kite
Area of regular polygons

By the end of the lesson, the learner should be able to:

solve problems on the area of a regular polygon

Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions

Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Mathematical tables Chalkboard illustrations

KLB Maths Bk2 Pg. 162-163

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

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

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

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

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

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

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

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

Volume of Solids

Application to real life situation
Problem solving

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

KLB Maths Bk2 Pg. 193-194

Quadratic Expressions and Equations

Expansion of Algebraic Expressions
Quadratic identities
Application of 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

Quadratic Expressions and Equations

Factorise the Identities
Factorise other quadratic expressions

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

Quadratic Expressions and Equations

Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation
Solving quadratic equations

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

Quadratic Expressions and 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:
form quadratic equations from information

Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises

Real-life experiences
Worked out
expressions

KLB Maths Bk2 Pg. 208

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

Linear Inequalities

Number line
Inequalities in one unknown

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

KLB Maths Bk2 Pg. 213-224

Linear Inequalities

Graphical representation
Graphical solutions of simultaneous linear inequalities
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

Linear Inequalities

Area of the wanted region
Inequalities from inequality graphs
Problem solving.

By the end of the lesson, the learner should be able to:
calculate the area of the wanted region

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

Linear Motion

Displacement, velocity, speed and acceleration
Distinguishing terms

By the end of the lesson, the learner should be able to:
Define displacement, speed velocity and acceleration

Teacher/pupil discussion
Plotting graphs
Drawing graphs

Graph papers
Stones
Pieces of paper

KLB Maths Bk2 Pg. 228-238

Linear Motion

Distinguishing velocity and acceleration
Distance time graphs
Interpret the velocity time graph

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

Linear Motion

Interpreting graphs
Relative speed (objects moving in the same direction)

By the end of the lesson, the learner should be able to:
interpret graphs of linear motion

Learners interpret graphs

Drawn graphs
Real life situation
Chalkboard illustrations

KLB
Maths Bk2
Pg.334

Linear Motion
Statistics
Statistics

Problem solving
Definition
Collection and organization of data

By the end of the lesson, the learner should be able to:

solve problems on linear motion

Question answer method

Past paper questions
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers

KLB
Maths Bk2
Pg.330

Statistics

Frequency tables
Grouped data

By the end of the lesson, the learner should be able to:

draw a frequency distribution table

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

Statistics

Mean of ungrouped data
Median of ungrouped data
Mean of ungrouped data

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

Statistics

Median of a grouped data modal class
Data Representation. Line graphs

By the end of the lesson, the learner should be able to:

state the modal class and calculate the median 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

Statistics

Bar graphs
Pictogram
Histograms

By the end of the lesson, the learner should be able to:
represent data in form of a bar 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

Statistics

Frequency polygons
Histograms with uneven distribution

By the end of the lesson, the learner should be able to:
represent data in form of frequency polygons

Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion

Histograms drawn. Data
Data with uneven classes

KLB Maths Bk2 Pg. 241-252

Statistics
Angle Properties of a Circle

Interpretation of data
Problem solving
Arc chord segment

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
Chart illustrating arc chord and segment

KLB Maths Bk2 Pg. 241-252

Angle Properties of a Circle

Angles subtended by the same arc in the same segment
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 angles subtended by an arc of a circle at the circumference

Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle

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
Circles showing the
different parts

KLB Maths Bk2 Pg. 264-278

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

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

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

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

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