SCHEME OF WORK
Mathematics
Form 2 2021
TERM II
School










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WK LSN TOPIC SUB-TOPIC OBJECTIVES L/ACTIVITIES L/T AIDS REFERENCE REMARKS
1 1
Pythagoras Theorem
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
Macmillan BK 2
Pg 105
Advancing in Math
BK 2 Pg 86-88
1 2
Pythagoras Theorem
Application to real life Situation
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

Solving problems in real
life using the formula
A = ?s(s-a)(s-b)(s-c)

Mathematical table
KLB BK2 Pg 159
Macmillan BK 2
Pg 143
Advancing in Math
BK 2 Pg 115
1 3
Pythagoras Theorem
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
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
KLB BK2
Pg 123,132,133
Macmillan BK 2
Pg 112
Advancing in Math
BK 2 Pg 94-95
1 4
Pythagoras Theorem
Angles and sides of a right angled triangle
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

KLB BK2
Pg 125, 139, 140
Macmillan BK 2
Pg 118
Advancing in Math
BK 2 Pg 100
1 5
Pythagoras Theorem
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
Use the relationship of sine and cosine
of complimentary angles in solving
problems
Using established
relationship to solve
problems
Solving problems
involving the sines and
cosines of complimentary
angles
Chalkboards
Chalkboard
Charts illustrating the
relationship of sines
and cosines of
complimentary angles
KLB BK2 Pg 145
Macmillan BK 2
Pg 119-120
Advancing in Math
BK 2 Pg 101
1 6
Pythagoras Theorem
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
Determine the trigonometric ratios of
special angles without using tables
Relating the three
trigonometric ratios
Determining the
trigonometric ratios of
special angles 30,45,60
and 90 without using
tables
Charts showing the
three related
trigonometric ratio
Charts showing
isosceles right angled
triangle
Charts illustrating
Equilateral triangle
KLB BK2 Pg
MacmillanBk2Pg121
Advancing in Math
BK 2 Pg
2 1
Pythagoras Theorem
Application of Trigonometric ratios in solving problems
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
KLB BK2 Pg 148
Macmillan BK 2
Pg 124
Advancing in Math
BK 2 Pg 102
2 2
Pythagoras Theorem
Logarithms of Sines
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
KLB BK2 Pg 149
Macmillan BK 2
Pg 128
Advancing in Math
BK 2 Pg 105
2 3
Pythagoras Theorem
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
Read the logarithms of sines, cosines
and tangents from tables
Reading logarithms of
cosine and tangent from
mathematical table
Solving problems
through reading the table
of logarithm of sines,
cosines and tangents
Chalkboard
Mathematical table
KLB BK2
Pg 150-152
Macmillan BK 2
Pg 128
Advancing in Math
BK 2 Pg 105
2 4
Pythagoras Theorem
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:
Solve problems in real life using
trigonometry
Calculate the are of a triangle given
the base and height
Solving problems using
trigonometry in real life
Calculating the area of a
triangle given the base
and height
Mathematical table
Chart illustrating
worked problem
Chalkboard
KLB BK2
Pg 153-154
Macmillan BK 2
Pg 130
Advancing in Math
BK 2 Pg 106-109
2 5
Pythagoras Theorem
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

triangle with three sides
worked example i.e.
mathematical table

KLB BK2 Pg 156
Macmillan BK 2
Pg 148
Advancing in Math
BK 2 Pg 110
2 6
Pythagoras Theorem
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:


Calculate the are of a triangle, square,
rectangle, rhombus, parallelogram and
trapezium

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

Charts illustrating
formula used in
calculating the areas of
the quadrilateral
KLB BK2
Pg 161-163
Macmillan BK 2
Pg 143
Advancing in Math
BK 2 Pg 116-118
3 1
Pythagoras Theorem
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
Find the area of a regular polygon
Calculating the area of a
Kite
Calculating the area of a
regular polygon
Model of a kite
Mathematical table
Charts illustrating
Polygons
KLB BK2 Pg 163
Macmillan BK 2
Pg 144
Advancing in Math
BK 2 Pg 119
3 2
Pythagoras Theorem
Area of irregular Polygon
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
KLB BK2
Pg 166
Macmillan BK 2
Pg 146-147
Advancing in Math
BK 2 Pg 120
3 3
Pythagoras Theorem
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:


- 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


Finding the area of a
minor and a major sector
of a circle


Charts illustrating
sectors

KLB BK 2 Pg 167
Macmillan BK 2
Pg 149
Advancing in Math
BK 2 Pg 122
3 4
Pythagoras Theorem
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii
By the end of the lesson, the learner should be able to:
- Define what a segment of a circle is
- Find the area of a segment of a circle
Find the area of common region
between two circles given the angles
? Education Plus Agencies
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 ?
Calculating the area of a
segment
Chart illustrating a
Segment
Charts illustrating
common region
between the circles
Use of a mathematical
table during calculation
KLB BK2
Pg 169-170
Macmillan BK 2
Pg 151-152
Advancing in Math
BK 2 Pg 123
3 5
Pythagoras Theorem
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:


Calculate the area of common region
between two circle given the radii of
the two intersecting circles and the
length of a common chord of the two
circles


Finding the area of a
common region between
two intersecting


Charts illustrating
common region
between two
intersecting circles

KLB BK 2 Pg 176
Macmillan BK 2
Pg 155
Advancing in Math
BK 2 Pg 124
3 6
Pythagoras Theorem
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
Find the total surface area of a square
based pyramid
Defining a prism
Calculating the surface
area of the prisms
Finding the surface area
of a square based pyramid
Models of cylinder,
triangular and
hexagonal prisms
Models of a square
based pyramid

KLB BK 2 Pg 177
Macmillan BK 2
Pg 156
Advancing in Math
BK 2 Pg
4

Continuous Assessment Test

5 1
Pythagoras Theorem
Surface area of a Rectangular based Pyramid
Surface area of a cone using the formula A = ?r2 + ?rl
By the end of the lesson, the learner should be able to:
Find the surface area of a rectangular
based pyramid
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 surface area
of a rectangular based
pyramid
Finding the area of the
circular part
Finding the area of the
curved part
Getting the total surface
Area
Models of a
Rectangular based
pyramid
Models of a cone
KLB BK 2
Pg 179-180
Macmillan BK 2
Pg 157
5 2
Pythagoras Theorem
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 frustrum of a
cone and pyramid

Finding the surface area
of a frustrum of a cone
and a pyramid

Models of frustrum of
a cone and a pyramid
KLB BK 2 Pg 182
Macmillan BK 2
Pg 160
Advancing in Math
BK 2 Pg 131
5 3
Pythagoras Theorem
Finding the surface area of a sphere
By the end of the lesson, the learner should be able to:


Find the surface area of a 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
KLB BK 2 Pg 183
Macmillan BK 2
Pg 161-162
Advancing in Math
BK 2 Pg 132
5 4
Pythagoras Theorem
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
Macmillan BK 2
Pg 162
Advancing in Math
BK 2 Pg 132
5 5
Pythagoras Theorem
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 hexagonal based
prism

Calculating the volume
of an hexagonal prism

Models of hexagonal
based prism
KLB BK 2 Pg 187
Macmillan BK 2
Pg 163
Advancing in Math
BK 2 Pg 139
5 6
Pythagoras Theorem
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 square based
pyramid and rectangular based pyramid
Find the volume of a cone
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 square and
Rectangular based
Pyramids
Model of a cone

KLB BK 2
Pg 189-190
Macmillan BK 2
Pg 165-166
Advancing in Math
BK 2 Pg 140
6

Mid term break

7 1
Pythagoras Theorem
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
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
MacmillanBk2Pg169
Advancing in Math
BK 2 Pg 141
7 2
Pythagoras Theorem
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
Find the volume of a hemisphere
Finding the volume of a
Sphere
Working out the volume
of a hemisphere
Model of a sphere
Mathematical table
Models of hemisphere
KLB BK 2 Pg 195
Macmillan BK 2
Pg 170-171
Advancing in Math
BK 2 Pg 142
7 3
Pythagoras Theorem
Quadratic expressions and equations
Application of area of triangles to real life
Expansion of algebraic expressions
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
Expand algebraic expressions that form
quadratic equations
Solving problems in real
life using the knowledge
of the area of triangle
Expanding algebraic
Expressions
Mathematical table
Chart illustrating
formula used
Charts illustrating expanded algebraic expressions
KLB BK 2 Pg 159
Macmillan BK 2
Pg 143
Advancing in Math
BK 2 Pg 114
7 4
Quadratic expressions and equations
Three quadratic identities
By the end of the lesson, the learner should be able to:


Derive the three quadratic identities
Deriving the quadratic identities
(a + b)2 = a2 + 2ab + b2
(a - b)2 =a2 - 2ab + b2
(a ? b) (a + b) = a2 ? b2

Charts illustrating derived quadratic identies
KLB BK 2 Pg 204
Macmillan BK 2
Pg 176
Advancing in Math
BK 2 Pg 145
7 4
Quadratic expressions and equations
Three quadratic identities
By the end of the lesson, the learner should be able to:


Derive the three quadratic identities
Deriving the quadratic identities
(a + b)2 = a2 + 2ab + b2
(a - b)2 =a2 - 2ab + b2
(a ? b) (a + b) = a2 ? b2

Charts illustrating derived quadratic identies
KLB BK 2 Pg 204
Macmillan BK 2
Pg 176
Advancing in Math
BK 2 Pg 145
7 5
Quadratic expressions and equations
Expanding using the quadratic identities
By the end of the lesson, the learner should be able to:


Use the three quadratic identities in expansion of an algebraic expression.
Give a clear distinction of the three identities.

Expanding an algebraic expression using the quadratic identities

Chart illustrating expanded problem using identities
KLB BK 2
Pg 204-205
Macmillan BK 2
Pg 173
Advancing in Math
BK 2 Pg 148
7 6
Quadratic expressions and equations
Factorization of quadratic expression (when the coefficient of x2 is 1)
Factorization of a quadratic expression (when the coefficient of x2 is greater than 1)
By the end of the lesson, the learner should be able to:
Factorize the quadratic expressions
Factorize the quadratic expressions with the coefficient of x2 being greater than 1 e.g. 6x2 ? 13x + 6
Factorizing a quadratic expression with the coefficient of x2 being 1
Factorizing a quadratic expression with the coefficient of x2 being greater than 1
Charts illustrating a factorized quadratic expressions
Charts illustrating a factorized quadratic expression
KLB BK 2
Pg 205-206
Macmillan BK 2
Pg 180
Advancing in Math
BK 2 Pg 148
8 1
Quadratic expressions and equations
Solutions of quadratic equations by factor method
Formation of a quadratic equation from given roots
By the end of the lesson, the learner should be able to:
- Solve a quadratic equation by factor
method
- Give the difference between a
quadratic expression and a quadratic
equation
- Write a general quadratic equation
Form a quadratic equation in the form ax2 + bx + c = 0 from given roots
Solving quadratic equations by factor method
Giving the difference between quadratic expression and quadratic equation
Writing a general quadratic equation
Using the given roots to form a quadratic equation in the form
ax2 + bx + c = 0
Chart illustrating a solved quadratic equation by factor method
Charts illustrating a general quadratic equation
Charts illustrating a formed quadratic equation


KLB BK 2 Pg 209
Macmillan BK 2
Pg 181
Advancing in Math
BK 2 Pg 151-153
8 2
Quadratic expressions and equations
Formation and solutions of quadratic equations
By the end of the lesson, the learner should be able to:


Form and solve quadratic equations
Forming a quadratic equation from given roots
Solving a formed quadratic equation by factor method

Charts illustrating a formed and solved quadratic equation
KLB BK 2 Pg 211
Macmillan BK 2
Pg 184
Advancing in Math
BK 2 Pg
8 3
Quadratic expressions and equations
Linear Inequalities
Application of quadratic equations
Inequality symbols Giving examples of simple statements using inequality symbols
By the end of the lesson, the learner should be able to:
Use the knowledge of quadratic in solving problems from quadratic equations
- Give the difference between the four
inequality symbols used
- Write down examples of simple
statements using inequality symbols
Solving quadratic equations by factor method
Giving a clear distinction of the four inequality symbols
Writing down examples of simple statements using inequality symbols
Chart illustrating solved quadratic equation
Charts illustrating the four inequality symbols
KLB BK 2 Pg 212
Macmillan BK 2
Pg 184
Advancing in Math
BK 2 Pg 157-158
8 4
Linear Inequalities
Inequalities on a number line (simple statement)
By the end of the lesson, the learner should be able to:


Correctly illustrate inequalities on the number line

Illustrating inequalities on the number line

Charts illustrating inequalities on a number line
KLB BK 2 Pg 213
Macmillan BK 2
Pg 191
Advancing in Math
BK 2 Pg 160
8 5
Linear Inequalities
Writing simple statement as compound statement Illustrating compound statement formed on the number line
By the end of the lesson, the learner should be able to:


Write down two simple statements as a compound statement
Illustrating a compound statement formed on a number line

Combining two simple statements
Illustrating a compound statement on the number line

Charts illustrating simple statements and s compound statement

KLB BK 2 Pg 214
Macmillan BK 2
Pg 191
Advancing in Math
BK 2 Pg 161
8 6
Linear Inequalities
Solutions of simple inequality (linear inequality in one unknown)
Multiplication and division by a negative number and a positive number
By the end of the lesson, the learner should be able to:
Solve a linear inequality in one unknown
Note the effect of multiplying and dividing an inequality by a negative number and a positive number
Solving a linear inequality in one unknown
Multiplying and diving an inequality by a negative number and a positive number
Chalkboard
Charts showing a solved simple inequality
Charts illustrating worked example
KLB BK 2 Pg 215
Macmillan BK 2
Pg 191
Advancing in Math
BK 2 Pg 162
9 1
Linear Inequalities
Representing combined inequalities graphically Obtaining inequalities from inequality graph
By the end of the lesson, the learner should be able to:


Represent inequalities both in one and two unknowns graphically
Obtain inequalities from inequality graphs

Representing inequalities graphically both in one and two unknowns
Obtaining inequalities from inequality graph

Square board
Graph paper
Chalkboard
KLB BK 2
Pg 224-227
Macmillan BK 2
Pg 194-197
Advancing in Math
BK 2 Pg 167
9 2
Linear Motion
Displacement, velocity, speed and acceleration
By the end of the lesson, the learner should be able to:

should be able to define:-
(i) Displacement
(ii) velocity
(iii) Speed
(iv) Acceleration
- Use displacement, velocity, speed
and acceleration in solving problems

Defining displacement, velocity, speed and acceleration
Working out problems on velocity, acceleration, speed and displacement



Chalkboard

KLB BK 2
Pg 2228-229
Macmillan BK 2
Pg 198
Advancing in Math
BK 2 Pg 168
9 3
Linear Motion
Determining velocity and acceleration
Distance - Time graph
By the end of the lesson, the learner should be able to:
Determine velocity and acceleration
Determine average velocity and deceleration or retardation
Distinguish between distance and displacement and speed and velocity
Plot and draw a distance time graph
Interpreting distance time graph
Finding velocity and acceleration
Calculating average velocity and retardation
Distinguishing distance and displacement, speed and velocity
Plotting distance time graph
Drawing distance time graph
Using distance time graph to solve problems of linear motion
Chalkboard
Square board
Graph paper


KLB BK 2 Pg 230
Macmillan BK 2
Pg 199
Advancing in Math
BK 2 Pg 170-171
9 4
Linear Motion
Velocity ? Time graph
Interpreting Velocity ? Time Graph
By the end of the lesson, the learner should be able to:
Plot and draw velocity time graph
Interpret velocity ? time graph drawn
Using velocity time graph in solving linear problems
Plotting and drawing a velocity time graph
Solving linear motion problems from a velocity time graph
Interpreting a velocity time graph
Graph paper
Square board
KLB BK 2 Pg 234
MacmillanBK2Pg202
Advancing in Math
BK 2 Pg 174-175
9 5
Linear Motion
Determining distance using velocity ? time graph
By the end of the lesson, the learner should be able to:


Determine distance from a velocity time graph
Plotting and drawing velocity time graph
Determining distance from velocity time graph

Square board
Graph paper
KLBBK2Pg235-236
MacmillanBK2Pg207
Advancing in Math
BK 2 Pg 176
9 6
Linear Motion
Relative Speed Bodies moving to same direction
By the end of the lesson, the learner should be able to:


Define relative speed
Find the relative speed of bodies moving to the same direction
? Education Plus Agencies
Defining relative speed
Calculating relative speed of bodies heading same destination
Solving problems involving relative speed


Chalk board
KLB BK 2
Pg 238-239
Macmillan BK 2
Pg 208
Advancing in Math
BK 2 Pg 177
10

End of Term examination

11

End of Term examination


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