Trigonometry 

Trigonometry Tangent, sine and cosines
Trigonometric Table
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles

By the end of the lesson, the learner should be able to:
Define tangent, sine and cosine ratios from a right angles triangle
Use trigonometric tables to find the sine, cosine and tangent

Defining what a tangent, Cosine and sine are using a right angled triangle
Reading trigonometric tables of sines, cosines and tangent

Charts illustrating tangent, sine and cosine
Mathematical table
Mathematical table Charts Chalkboard
Chalkboards

KLB BK2 Pg 123,132,133   Discovering secondary pg   70
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71

Trigonometry 

Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine

By the end of the lesson, the learner should be able to:
Use the relationship of sine and cosine of complimentary angles in solving problems

Solving problems involving the sines and cosines of complimentary angles

Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio

KLB BK2 Pg 145

Trigonometry 

Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems
Logarithms of Sines

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
Chalkboard Mathematical tables

KLB BK2 Pg 146-147

Trigonometry 

Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations

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

Reading logarithms of cosine and tangent from mathematical table

Chalkboard Mathematical table
Mathematical table

KLB BK2 Pg 150-152

Trigonometry 

Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?)

By the end of the lesson, the learner should be able to:
Calculate the are of a triangle given the base and height

Calculating the area of a triangle given the base and height

Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula

KLB BK2 Pg 155

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
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector)

By the end of the lesson, the learner should be able to:
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c)
Find the area of a regular polygon

Solving problems on the area of triangle given three sides of a triangle
Calculating the area of a regular polygon

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
Model of a kite
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors

KLB BK2 Pg 157-158
KLB BK2 Pg 164

Trigonometry 

Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii
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:
- Define what a segment of a circle is - Find the area of a segment of a circle

Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?

Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles

KLB BK2 Pg 169-170

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
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)
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 hexagonal based prism
Find the volume of a frustrum of a cone

Calculating the volume of an hexagonal prism
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting

Models of hexagonal based prism
Models of square and Rectangular based Pyramids
Model of a cone
Models of a frustrum of a cone
Models of frustrum of a pyramid

KLB BK 2 Pg 187
KLB BK 2 Pg 192

Trigonometry 

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 sphere given the radius of the sphere

Finding the volume of a Sphere

Model of a sphere Mathematical table
Models of hemisphere
Mathematical table Chart illustrating formula used

KLB BK 2 Pg 195 

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

Trigonometric Ratios

Application of tangents
The sine of an angle

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

work out further problems using tangents

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

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 119-122

Trigonometric Ratios

The cosine of an angle
Application of sine and cosine
Complementary angles

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

find the cosine of an angle by calculations and through tables

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

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 119-122

Trigonometric Ratios

Special angles
Application of Special angles
Logarithms of sines, cosines and tangents
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:

find the sine, cos, and tan of 300,600,450,00,900, without using tables

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

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
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

Area of Quadrilaterals
Area of Part of a Circle

Problem solving
Area of a sector

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

KLB Maths Bk2 Pg. 165-166

Area of Part of a Circle
Area of Part of a Circle
Surface Area of Solids
Surface Area of Solids

Area of a segment
Common region between two circles
Common region between two circles
Problem solving
Surface area of prisms
Surface area of pyramid

By the end of the lesson, the learner should be able to:
find area of a segment

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
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
Surface area of frustrum with square 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
Chart illustrating frustrum with a square base

KLB Maths Bk2 Pg. 180
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2

Surface Area of Solids

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 rectangular base

Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions

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
Volume of frustrum

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
Frustrum with circular base

KLB Maths Bk2 Pg. 191

Volume of Solids
Volume of Solids
Quadratic Expressions and Equations

Volume of frustrum with a square base
Volume of frustrum with a rectangular base
Application to real life situation
Problem solving
Expansion of Algebraic Expressions

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

find the volume of a frustrum with a square base

solve problems on volume of solids

Making cones/frustums
Opening cones/frustums
to form nets

Frustrum with square base
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
Past paper questions
Real-life experiences
Worked out
expressions

KLB Maths Bk2 Pg. 192-193

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
Simplification of an expression by factorisation

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

Solving quadratic equations
The formation of quadratic equations

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

Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises

Real-life experiences
Worked out
expressions

KLB Maths Bk2 Pg. 208

Quadratic Expressions and Equations

Formation and solving of quadratic equations from word problems
Solving on quadratic equations
Forming quadratic equations from the roots

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

Linear Inequalities

Inequalities symbols
Number line
Inequalities in one unknown
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:
identify and use inequality symbols
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
Negative and positive
numbers
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
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

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
Frequency tables
Grouped data
Mean of ungrouped data

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

solve problems on linear motion

draw a frequency distribution table

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

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

KLB
Maths Bk2
Pg.330
KLB Maths Bk2 Pg. 241-252

Statistics

Median of ungrouped data
Mean of ungrouped data
Median of a grouped data modal class

By the end of the lesson, the learner should be able to:
calculate the median of ungrouped data and state the mode

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

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

KLB Maths Bk2 Pg. 241-252

Statistics

Data Representation. Line graphs
Bar graphs

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

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

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

KLB Maths Bk2 Pg. 241-252

Statistics

Pictogram
Histograms
Frequency polygons

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

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

Pictures which are whole, half, quarter
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data

KLB Maths Bk2 Pg. 241-252

Statistics

Histograms with uneven distribution
Interpretation of data
Problem solving

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

draw histograms with uneven distribution

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

Data with uneven classes
Real life situations
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
Angles subtended by the diameter at the circumference
Cyclic quadrilateral

By the end of the lesson, the learner should be able to:
identify an arc, chord and segment

state the angle in the semi-circle

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

KLB Maths Bk2 Pg. 264-278

Angle Properties of a Circle

Cyclic quadrilateral
Exterior angle property
Problem solving

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
different parts Past paper questions

KLB Maths Bk2 Pg. 264-278

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

Vectors

Addition of vectors
Multiplication of 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

Position vectors
Column vector
Magnitude of a vector
Mid - point
Translation vector

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

define a position vector
illustrate position vectors on a Cartesian plane

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.298