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

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

KLB BK2 Pg 123,132,133   Discovering secondary pg   70

Trigonometry 

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 the sine, cosine and tangent in calculating the length of a right angled triangle and also finding the angle given two sides and unknown angle The length can be obtained if one side is given and an angle

Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent

Mathematical table Charts Chalkboard
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles

KLB BK2 Pg 125, 139, 140  Discovering secondary pg  

Trigonometry 

Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90

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

KLB BK2 Pg 145

Trigonometry 

Application of Trigonometric ratios in solving problems
Logarithms of Sines

By the end of the lesson, the learner should be able to:
Solve trigonometric problems without using tables

Solving trigonometric problems of special angles

Chalkboard
Chalkboard Mathematical tables

KLB BK2 Pg 148

Trigonometry 

Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents

By the end of the lesson, the learner should be able to:
Read the logarithm of cosines and tangents from mathematical tables

Reading logarithms of cosine and tangent from mathematical table

Chalkboard Mathematical table

KLB BK2 Pg 150-152

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

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

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

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

KLB BK 2 Pg 177

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

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

KLB BK 2 Pg 179-180

Trigonometry 

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 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

KLB BK 2 Pg 183

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

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

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

Trigonometry 

Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life

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

Working out the volume of a hemisphere

Models of hemisphere
Mathematical table Chart illustrating formula used

Macmillan BK 2 Pg 173

Trigonometric Ratios

Tangent of an angle

By the end of the lesson, the learner should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation

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

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

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

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

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

Trigonometric Ratios

Application to real life situation
Problem solving

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

Area =
Solve problems involving =

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

Area of A Triangle
Area of Quadrilaterals

A =?s(s-a) (s-b) (s-c)
Problem solving
Area of parallelogram

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

find the 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 Rhombus
Area of trapezium and kite

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

KLB Maths Bk2 Pg. 161

Area of Quadrilaterals

Area of regular polygons
Problem solving

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

find the area of a regular polygon by using the formula A=

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

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

KLB Maths Bk2 Pg. 119-122

Area of Part of a Circle

Area of a sector
Area of a segment
Common region between two circles

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

Area of Part of a Circle

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 and solve problems related to that

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

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

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

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

Volume of Solids

Volume of pyramid
Volume of a cone

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

KLB Maths Bk2 Pg. 189-190

Volume of Solids

Volume of a sphere
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 sphere

Identifying spheres
Sketching spheres
Measuring radii/
diameters
Discussions

Sphere
Frustrum with circular base
Frustrum with square base

KLB Maths Bk2 Pg. 195

Volume of Solids

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 rectangular base

Making cones/frustums
Opening cones/frustums
to form nets

Frustrum with rectangular base
Models of pyramids, prism, cones and spheres

KLB Maths Bk2 Pg. 192-193

Volume of Solids
Quadratic Expressions and Equations

Problem solving
Expansion of Algebraic Expressions

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

Quadratic Expressions and Equations

Quadratic identities
Application of identities
Factorise the 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

Quadratic Expressions and Equations

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 quadratic expressions

Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises

Chart illustrating factorization of a quadratic expression
Real-life experiences
Worked out
expressions

KLB Maths Bk2 Pg. 119-122

Quadratic Expressions and Equations

Simplification of an expression by factorisation
Solving 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

Quadratic Expressions and Equations

The formation of quadratic 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 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

Forming quadratic equations from the roots
Inequalities symbols

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

KLB Maths Bk2 Pg. 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

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 Inequalities
Linear Motion

Problem solving.
Displacement, velocity, speed and acceleration

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

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

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

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

Statistics

Definition
Collection and organization of data

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

Statistics

Frequency tables
Grouped data
Mean of ungrouped 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

Median of ungrouped data
Mean of ungrouped data

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

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

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

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

Angle Properties of a Circle

Angles subtended by the diameter at the circumference
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

Angle Properties of a Circle

Cyclic quadrilateral
Exterior angle property

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

find and compute angles 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

Problem solving
Problem solving

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

solve problems on angle properties of a circle

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

Circles showing the
different parts Past paper questions
different parts Past paper questions

KLB Maths Bk2 Pg. 264-278

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

Vectors

Multiplication of vectors
Position vectors

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

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