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

Gradient and equations of straight lines

Gradient
Equation of a line
Linear equation y=mx+c
The y-intercept
The graph of a straight line

By the end of the lesson, the learner should be able to:
State the type of gradient
Find equation of a line passing through two points
Find linear equations in the form y=mx+c
Find the y-intercept
Draw the graph of a straight line

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts
Apparatus
Books
Videos
Charts
Sets

KLB Mathematics
Book Two
Pg 30-32     discovering secondary pg 23
KLB Mathematics
Book Two
Pg 34-36    discovering secondary pg  27

Gradient and equations of straight lines
Reflection and congruence

Perpendicular lines
Parallel lines
Symmetry

By the end of the lesson, the learner should be able to:
Determine the equation of perpendicular lines
Determine the equation of parallel lines
Find the lines of symmetry of shapes

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts

KLB Mathematics
Book Two
Pg 41-42      discovering secondary pg 30

Reflection and congruence

Reflection
Some general deductions using reflection

By the end of the lesson, the learner should be able to:
Draw an image under reflection
Prove that vertically opposite angles are equal

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts
Sets

KLB Mathematics
Book Two
Pg 48-50  Discovering secondary pg 33

Reflection and congruence

Some general deductions using reflection
Congruence
Congruent triangles

By the end of the lesson, the learner should be able to:
Deduce some general rules of reflection
Determine shapes that are congruent
State the conditions that satisfy congruent triangles

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts

KLB Mathematics
Book Two
Pg 57-59   Discovering secondary pg 37

Reflection and congruence
Rotation

Congruent triangles
The ambiguous case
Introduction

By the end of the lesson, the learner should be able to:
Determine the congruent triangles
Determine the two angles that are congruent
Draw an image of an object under rotation

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts

KLB Mathematics
Book Two
Pg 65-66   Discovering secondary pg 40

Rotation

Centre of 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 center of rotation
Determine the angle of rotation
Rotate objects about the origin
Rotate objects about the 90
Rotate objects about the +180

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts
Apparatus
Books
Videos
Charts
Sets

KLB Mathematics
Book Two
Pg 73   Discovering secondary pg  46
KLB Mathematics
Book Two
Pg 75   Discovering secondary pg 47

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
Determine the lines of symmetry of solids
Determine the relationship between rotation and congruence

Defining
Discussions
Solving problem
Explaining

Apparatus
Books
Videos
Charts

KLB Mathematics
Book Two
Pg 78-80  Discovering secondary pg 49

Trigonometry 

Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem

By the end of the lesson, the learner should be able to:
Derive Pythagoras Theorem
Solve problems using Pythagoras Theorem

Deriving Pythagoras Theorem
Solving problems using Pythagoras theorem

Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem

KLB BK2 Pg 120   Discovering secondary pg 67

Trigonometry 

Application to real life Situation
Trigonometry Tangent, sine and cosines
Trigonometric Table

By the end of the lesson, the learner should be able to:
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life
Define tangent, sine and cosine ratios from a right angles triangle
Use trigonometric tables to find the sine, cosine and tangent

Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Defining what a tangent, Cosine and sine are using a right angled triangle
Reading trigonometric tables of sines, cosines and tangent

Mathematical table
Charts illustrating tangent, sine and cosine

KLB BK2 Pg 159    Discovering secondary pg 67

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
Establish the relationship of sine and cosine of complimentary angles
Use the relationship of sine and cosine of complimentary angles in solving problems

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
Using established relationship to solve problems
Solving problems involving the sines and cosines of complimentary angles

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
Application of Trigonometric ratios in solving problems
Logarithms of Sines
Logarithms of cosines And tangents

By the end of the lesson, the learner should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent
Determine the trigonometric ratios of special angles without using tables
Solve trigonometric problems without using tables
Read the logarithms of sines
Read the logarithm of cosines and tangents from mathematical tables

Relating the three trigonometric ratios
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Solving trigonometric problems of special angles
Solving problems by reading logarithm table of sines
Reading logarithms of cosine and tangent from mathematical table

Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard
Chalkboard Mathematical tables
Chalkboard Mathematical table

KLB BK2 Pg 145
KLB BK2 Pg 148

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
Solve problems in real life using trigonometry
Calculate the are of a triangle given the base and height

Solving problems through reading the table of logarithm of sines, cosines and tangents
Solving problems using trigonometry in real life
Calculating the area of a triangle given the base and height

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)

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
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c)

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

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 156

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
Find the area of a kite
Find the area of a regular polygon

Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a Kite
Calculating the area of a regular polygon

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

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
- Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle
- Define what a segment of a circle is - Find the area of a segment of a circle

Finding the area of irregular polygons
Finding the area of a minor and a major sector 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 ?

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
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:
Find the area of common region between two circles given the angles ? Education Plus Agencies
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
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism
Find the total surface area of a square based pyramid
Find the surface area of a rectangular based pyramid

Calculating the area of a segment
Finding the area of a common region between two intersecting
Defining a prism Calculating the surface area of the prisms
Finding the surface area of a square based pyramid
Finding the surface area of a rectangular based pyramid

Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid
Models of a Rectangular based pyramid

KLB BK 2 Pg 175
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
Finding the surface area of a sphere

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
Find the surface area of a frustrum of a cone and pyramid
Find the surface area of a sphere given the radius of a sphere

Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Finding the surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere

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 181

Trigonometry 

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 hemisphere
Find the volume of a triangular based prism

Finding the surface area of a hemisphere
Finding the volume of a triangular based prism

Models of a hemisphere
Models of a triangular based prism

KLB BK 2 Pg 184

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

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 square based pyramid and rectangular based pyramid
Find the volume of a cone

Calculating the volume of an hexagonal prism
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)
Finding the volume of a cone

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

KLB BK 2 Pg 187

Trigonometry 

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 frustrum of a cone
Find the volume of a frustrum of a Pyramid

Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
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 a frustrum of a cone
Models of frustrum of a pyramid

KLB BK 2 Pg 192

Trigonometry 
Trigonometric Ratios

Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
Tangent of an angle
Tangent of an angle
Using tangents in calculations

By the end of the lesson, the learner should be able to:
Find the volume of sphere given the radius of the sphere
Find the volume of a hemisphere
Use the knowledge of the area of triangles in solving problems in real life situation
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation

find the tangent of an angle from tables
calculate the size of an angle given two sides and an angle from tables

Finding the volume of a Sphere
Working out the volume of a hemisphere
Solving problems in real life using the knowledge of the area of triangle
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables

Model of a sphere Mathematical table
Models of hemisphere
Mathematical table Chart illustrating formula used
Protractor
Ruler
Right corners
Mathematical tables

KLB BK 2 Pg 195 
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
findthesineofananglebycalculationsandthroughtables

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
applysinestoworkoutlengthsandangles.Applycosinetoworkoutlengthandangles
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

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

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
apply the knowledge of special angles to solve problems
solveproblemsusinglogarithmsofsinescosinesandtangents

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

Protractor
Ruler
Right corners
Mathematical tables

KLB Maths Bk2 Pg. 119-122

Trigonometric Ratios

Relationship between sin, cos and tan
Application to real life situation

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

relate sin, cos and tan that is tan?=sin?
cos?
Solve problems using the relationship
applytheknowledgeoftrigonometrytoreallifesituations

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
Area of A Triangle
Area of A Triangle
Area of Quadrilaterals

Problem solving
Area =
Solve problems involving =
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:

solve problems on trigonometry
derivetheformulaArea=
solveproblemsinvolvingareaoftrianglesusingtheformulaArea=
find the area of a triangle given the three sides

solve problems on area of a triangle given the three sides
findtheareaofquadrilateralsliketrapeziums,parallelogrametc.bydividingtheshapeoftriangles

Problem solving
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Drawing trapeziums/polygons
Reading mathematical tables

Protractor
Ruler
Right corners
Mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
Parallelograms
Trapeziums
Polygons
Squares/rectangles

KLB Maths Bk2 Pg. 119-122

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.
solveproblemsontheareaofaregularpolygon

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 Part of a Circle

Area of regular polygons
Problem solving
Area of a sector

By the end of the lesson, the learner should be able to:
find the area of a regular polygon by using the formula A=

solve problems on area of quadrilaterals and other polygons
findareaofasector

Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Learners solve problems
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle

Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables Chalkboard illustrations
Mathematical tables
Circles
Chart illustrating the area of a sector

KLB Maths Bk2 Pg. 119-122

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
find the area of the common region between two circles.

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

KLB Maths Bk2 Pg. 167-169

Area of Part of a Circle
Surface Area of Solids

Problem solving
Surface area of prisms

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

solve problems involving the area of part of a circle
find the surface area of a prism.

Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Drawing prisms
Measuring lengths
Opening prisms to form
nets
Calculating area

Circles
Chart illustrating the area of a minor segment Chalkboard illustrations
Prism Chalkboard illustrations

KLB Maths Bk2 Pg. 167-169

Surface Area of Solids

Surface area of pyramid
Surface area of a cone
Surface area of frustrum with circular base
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 a pyramid
findthesurfaceareaofacone
findthesurfaceareaoffrustrumwithcircularbase

find the surface area of frustrum with square base
findthesurfaceareaoffrustrumwithrectangularbase
findthesurfaceareaofasphere

Drawing pyramids
Measuring lengths/
angles
Opening pyramids to
form nets
Discussions
Calculating area
Drawing cones/frustums
Making cones/frustums
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions Learners find the surface area
Discussions
Sketching spheres
Making spheres
Measuring diameters/
radii of spheres

Pyramids with square base, rectangular base, triangular base
Cone
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations

KLB Maths Bk2 Pg. 178

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
findthevolumeofaprism

Learners solve problems
Identifying prisms
Identifying the cross-sectional area
Drawing/sketching prisms

Past paper questions
Prism

KLB Maths Bk2 Pg. 183

Volume of Solids

Volume of pyramid
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 pyramid
findthevolumeofacone
findthevolumeofasphere

Drawing pyramids
Making pyramids
Opening pyramids to
form nets
Discussions
Making cones/frustums
Opening cones/frustums
to form nets
Identifying spheres
Sketching spheres
Measuring radii/
diameters

Pyramid
Cone
Sphere

KLB Maths Bk2 Pg. 189-190

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
findthevolumeofafrustrumwithasquarebase
findthevolumeofafrustrumwitharectangularbase

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.

solve problems on volume of solids

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
Factorise the Identities
Factorise other quadratic expressions

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

derive the three Algebraic identities
identify and use the three Algebraic identities
factorise the identities
factorise quadratic expressions

Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises

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

KLB Maths Bk2 Pg. 203

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
simplify a quadratic expression by factorisation
solve quadratic equations

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
form and solve quadratic equations from word problems
solve problems on 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
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
identify and use inequality symbols

Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions

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
Graphical representation

By the end of the lesson, the learner should be able to:
illustrate inequalities on a number line
solve linear inequalities in one unknown and state the integral values
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

Graphical solutions of simultaneous linear inequalities
Graphical solutions of simultaneous 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:
solve the linear inequalities in two unknowns graphically
solve simultaneous linear inequalities graphically
calculate the area of the wanted region
form simple linear inequalities from inequality graphs
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

KLB Maths Bk2 Pg. 213-224

Linear Motion

Displacement, velocity, speed and acceleration
Distinguishing terms
Distinguishing velocity and acceleration

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

Teacher/pupil discussion
Plotting graphs
Drawing graphs
Learners determine velocity and acceleration

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
interpret a velocity time graph
interpret graphs of linear motion

Plotting graphs
Drawing graphs
Learners interpret a velocity time graph
Learners interpret 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
solveproblemsonlinearmotion

Teacher/pupil discussion
Question answer method

Real life situation
Chalkboard illustrations
Past paper questions

KLB
Maths Bk2
Pg.329

Statistics

Definition
Collection and organization of data
Frequency tables

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

define statistics
collect and organize data
drawafrequencydistributiontable

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

Grouped data
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:
group data into reasonable classes
calculate the mean of ungrouped data
calculate the median of ungrouped data and state the mode
calculate the mean of a grouped data

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

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
represent data in form of a bar graph
represent data in form of pictures

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

Histograms
Frequency polygons
Histograms with uneven distribution

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

draw histograms with uneven distribution

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

Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data
Data with uneven classes

KLB Maths Bk2 Pg. 241-252

Statistics

Interpretation of data
Problem solving

By the end of the lesson, the learner should be able to:
interpret data from real life situation

solve problems on statistics

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

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

relate and compute angles subtended by an arc of a circle at the circumference
relateandcomputeanglesubtendedbyanarcofacentreandatthecircumference

Discussions
Drawing circles
Measuring radii/
diameters/angles
Identifying the parts of a
circle
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
Cyclic quadrilateral
Exterior angle property
Problem solving

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

state the angle in the semi-circle
statetheanglepropertiesofacyclicquadrilateral
findandcomputeanglesofacyclicquadrilateral

apply the exterior angle property
solveproblemsonanglepropertiesofacircle

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

Circles showing the
different parts
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.
define a vector and a scalar, use vector notation and represent vectors.
identify equivalent vectors

Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of

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
Position vectors

By the end of the lesson, the learner should be able to:
add vectors
multiply a vector and a scalar

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
square root of
square root of

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
find the magnitude of a vector
calculate the midpoint of a vector
findthetranslationvectorgiventheobjectandtheimage

Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
square root of
square root of
square root of

1x2 matrices
Graph papers
Square boards
Ruler

KLB Maths Bk2 Pg. 296-297