SCHEME OF WORK
Mathematics
Form 3 2021
TERM II
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WK LSN TOPIC SUB-TOPIC OBJECTIVES L/ACTIVITIES L/T AIDS REFERENCE REMARKS
1

ADMINSTRATION OF OPENER EXAM

2 1
Trigonometry
Sine rule
Application of sine rule
By the end of the lesson, the learner should be able to:
derive the sine rule
apply the sine rule
Teacher/pupil discussion
- Calculators
- Chalkboard illustrations
Chalkboard illustrations
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Maths Bk3
Pg.63
2 2
Trigonometry
Cosine rule
Application of cosine rule
By the end of the lesson, the learner should be able to:
derive the cosine rule
apply the cosine rule
Teacher/pupil discussion
Chalkboard illustrations
- Calculators
- Chalkboard illustrations
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Maths Bk3
Pg.64
2 3
Trigonometry
Application of both cosine rule and sine rule
Problem solving
By the end of the lesson, the learner should be able to:
use the cosine rule to solve triangles
solve problems on trigonometry
Teacher/pupil discussion
- Calculators
- Chalkboard illustrations
Past paper questions
Explore
Maths Bk3
Pg.64
2 4
Surds
Rational and irrational numbers
Simplify expressions with surd (addition of surds)
By the end of the lesson, the learner should be able to:
define a rational and irrational number and give examples of each
simplify expressions with surd (addition)
Teacher/pupil discussion
Learners simplify
Chalkboard illustrations
Explore
Maths Bk3
Pg.41
2 5
Surds
Subtraction of surds
By the end of the lesson, the learner should be able to:
subtract surds
Learners subtract surds
Chalkboard illustrations
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Maths Bk3
Pg.43
2 6
Surds
Multiplication of surds
Rationalize denominator
By the end of the lesson, the learner should be able to:
multiply surds
rationalise the denominator
Learners multiply surds
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg.44
2 7
Surds
Application to trigonometry
Problem solving
By the end of the lesson, the learner should be able to:
apply surds to trigonometry
solve problems on trigonometry
Learners apply surds to trigonometry
Learners solve problems
Chalkboard illustrations
Past paper questions
Explore
Maths Bk3
Pg.46
3 1
Commercial Arithmetic
Compound interest
Deriving the compound interest formula
By the end of the lesson, the learner should be able to:
calculate compound interest using step by step method
derive the compound interest formula
Teacher/pupil discussion
Learners derive the formula
A = p(1-r)n
100
Chalkboard illustrations
Explore
Maths Bk3
Pg.215
3 2
Commercial Arithmetic
Calculating amount in compound interest
By the end of the lesson, the learner should be able to:
calculate the amount in compound interest
Learners calculate the amount of compound interest
- Calculators
- Chalkboard illustrations
Explore
Maths Bk3
Pg.216
3 3
Commercial Arythmetic
Simple interest
Calculating the rate in compound interest
By the end of the lesson, the learner should be able to:
calculate simple interest using simple interest formula
calculate the rate in compound interest
Teacher/pupil discussion
Learners calculate the rate
Chalkboard illustrations
- Calculators
- Chalkboard illustrations
Explore
Maths Bk3
Pg.214
3 4
Commercial Arythmetic
Calculating the time in compound interest
Calculating the principal in compound interest
By the end of the lesson, the learner should be able to:
calculate the time in compound interest
calculate the principal in compound interest
Learners calculate the time
Learners calculate the principal
- Calculators
- Chalkboard illustrations
Explore
Maths Bk3
Pg.218
3 5
Commercial Arythmetic
Calculating the interest in compound interest
Appreciation
By the end of the lesson, the learner should be able to:
calculate the interest in compound interest
define appreciation and calculate problems involving appreciation
Learners calculate the interest
Learners calculate problems
- Calculators
- Chalkboard illustrations
Chalkboard illustrations
Explore
Maths Bk3
Pg.220
3 6
Commercial Arythmetic
Depreciation A = p(1-r)n 100
Hire purchase
By the end of the lesson, the learner should be able to:
define depreciation and calculate problems involving depreciation
calculate hire purchase
Learners calculate problems
Learners calculate Hire purchase
- Calculators
- Chalkboard illustrations
Explore
Maths Bk3
Pg.221
3 7
Commercial Arythmetic
Income tax
By the end of the lesson, the learner should be able to:
calculate basic salary given income tax bands, income tax relief.
Learners calculate the basic salary
- Chalkboard illustrations
- Income tax bands
Explore
Maths Bk3
Pg.225-227
4 1
Circles, Chords And Tangents
Length of a arc
Chord A line from the centre of a circle is a perpendicular bisector of a chord
By the end of the lesson, the learner should be able to:
calculate the length of a arc
prove the property of a c and a perpendicular line perpendicular to a chord
Learners draw circle calculate length of an arc
Learners draw circle and prove the property
Previous work covered
- Chalkboard illustrations
- Pair of compass
Explore
Maths Bk3
Pg107
4 2
Circles, Chords And Tangents
Equal chords
Parallel chords on the same side of the centre of a circle
By the end of the lesson, the learner should be able to:
state the property of equal chords and use it to calculate measurements
state the property of Parallel chords and use it to calculate measurements
Learners use the property to calculate measurements
Learners
calculate measurements
- Pair of compass,
- ruler
- Chalkboard illustrations
Explore
Maths Bk3
Pg.103
4 3
Circles, Chords And Tangents
Parallel chords on an opposite side of the centre of a circle
Intersecting chords (intersect inside a circle)
By the end of the lesson, the learner should be able to:
calculate the radius of a circle given two parallel chords on opposite sides of the circle
calculate the length of chords that intersect inside a circle
Learners
calculate
Learners use similarity to derive a formula to calculate the length of a chord
Chalkboard illustrations
Explore
Maths Bk3
Pg.
4 4
Circles, Chords And Tangents
Intersecting chords (intersect outside a circle)
Tangent to a circle
By the end of the lesson, the learner should be able to:
calculate the length of chords that intersect outside a circle
construct a tangent to a circle
Learners use similarity to derive a formula
Teacher/pupil discussion
Chalkboard illustrations
- Pair of compass,
- ruler
- Chalkboard illustrations
Explore
Maths Bk3
Pg104
4 5
Circles, Chords And Tangents
Constructing a tangent from an external point
By the end of the lesson, the learner should be able to:
construct a tangent from an external point
Teacher/pupil discussion
- Pair of compass,
- Ruler
- Chalkboard illustrations
Explore
Maths Bk3
Pg138-139
4 6
Circles, Chords And Tangents
Direct common Tangent
Angles in alternate segment
By the end of the lesson, the learner should be able to:
construct a direct common tangent to two circles
relate angles in alternate segment
Teacher/pupil discussion
- Pair of compass,
- Ruler
- Chalkboard illustrations
- ruler
Explore
Maths Bk3
Pg140-143
4 7
Circles, Chords And Tangents
Circumscribed circle
Inscribed circle
By the end of the lesson, the learner should be able to:
construct a circumscribed circle
construct an inscribed circle
Teacher/pupil discussion
- Pair of compass,
- ruler
Explore
Maths Bk3
Pg. 147
5 1
Circles, Chords And Tangents
Escribed circle
Contact circle Internal contact
By the end of the lesson, the learner should be able to:
construct an escribed circle
solve problems on contact circles (internal contact)
Discussion
Teacher/pupil discussion
- Ruler
- pair of compass
- Pair of compass
Explore
Maths Bk3
Pg208
5 2
Circles, Chords And Tangents
external contact
By the end of the lesson, the learner should be able to:
solve problems on contact circles which are external contact
Learners draw two circles with external contact
- Pair of compass
- Chalkboard illustrations
Explore
Maths Bk3
Pg146
5 3
Circles, Chords And Tangents
Centroid
Orthocenter
By the end of the lesson, the learner should be able to:
locate centroid of a circle
locate orthocenter of a circle
Learners draw a triangle and locate the centroid
Learners draw a triangle and locate the orthocentre
- Pair of compass
- Chalkboard illustrations
Explore
Maths Bk3
Pg211
5 4
Circles, Chords And Tangents
Application of tangents and chords to real life situation
Problem solving
By the end of the lesson, the learner should be able to:
apply the knowledge of tangents and chords to real life situation
solve problems on real life situations
Teacher/pupil discussion
Question answer method
- Pulleys
- A bicycle
- calculator
Past paper questions
Explore
Maths Bk3
Pg153-154
5 5
Circles, Chords And Tangents
Matrices
Transverse Tangents
Definition order of a matrix
By the end of the lesson, the learner should be able to:
construct a transverse common tangent to two circles
define a matrix
State the order of a matrix
Teacher/pupil discussion
Teacher defines, learners state the order
- Pair of compass,
- ruler
- set square
Chalkboard illustrations
Explore
Maths Bk3
Pg. 151
5 6
Matrices
Square matrix
Addition of matrices
By the end of the lesson, the learner should be able to:
define a square matrix and use it to state its order
add two matrices
Learners give examples of square matrices
Learners add matrices
Chalkboard illustrations
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg94
5 7
Matrices
subtraction of matrices
By the end of the lesson, the learner should be able to:
subtract two matrices
Learners subtract matrices
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg95
6 1
Matrices
multiplication by a scalar
multiplication of two matrices
By the end of the lesson, the learner should be able to:

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multiply a matrix and a scalar
multiply two matrices
Learners multiply a matrix by a scalar
Learners multiply two matrices
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg96
6 2
Matrices
Identify matrix
Determinant of a matrix
By the end of the lesson, the learner should be able to:
identify an identity matrix
find the determinant of a 2 by 2 matrix
Learners identify an identity matrix
Learners find the determinant of a matrix
- Chalkboard illustrations
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg180-182
6 3
Matrices
Inverse of 2 by 2 matrix
Singular matrix
By the end of the lesson, the learner should be able to:
find the inverse of a 2 by 2 matrix
identify a singular matrix and find the elements of a singular matrix
Teacher leads pupil to find the inverse
Learners identify singular matrix
Chart illustrating the steps of finding the inverse
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg182-183
6 4
Matrices
Solving simultaneous equations
Solving simultaneous equations which have fractions using matrices
By the end of the lesson, the learner should be able to:
solve simultaneous equations by the matrix method
solve simultaneous equations which involve fractions by the matrix method
Teacher leads pupil to solve simultaneous equations
Learners solve equations
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg185
6 5
Matrices
Problem solving
By the end of the lesson, the learner should be able to:
solve problems involving matrices
Learners solve problems
Past paper questions
Explore
Maths Bk3
Pg188
6 6
Formulae And Variations
Change of subject
Change of subject involving roots and subjects
By the end of the lesson, the learner should be able to:
rewrite a given formula by changing the subject
rewrite a given formula by changing the subject especially formulas with roots and powers
Learners change subjects of simple formula
Teacher leads pupil to make subject of formula
Chart illustrating change of subject
Chalkboard illustrations
Explore
Maths Bk3
Pg37
6 7
Formulae And Variations
Direct variation
Graphs of direct variation
By the end of the lesson, the learner should be able to:
define direct variation
Identify the constant of proportionality
draw graphs of direct variation
Teacher/pupil discussion
Learners draw graphs
Chalkboard illustrations
Graph papers
Explore
Maths Bk3
Pg112
7 1
Formulae And Variations
Inverse variation
Graphs of inverse variation
By the end of the lesson, the learner should be able to:
define inverse variation
Determine the constant of proportionality
draw the graph of inverse variation
Teacher/pupil discussion
Learners draw graphs
Chalkboard illustrations
- Graph papers
- Chalkboard illustrations
Explore
Maths Bk3
Pg119
7 2
Formulae And Variations
Joint variation
By the end of the lesson, the learner should be able to:
define joint variation
Determine the constant of proportionality
Learners solve given problems
Chalkboard illustrations
Explore
Maths Bk3
Pg121
7 3
Formulae And Variations
Percentage change in variable
Partial variation
By the end of the lesson, the learner should be able to:
Determine the percentage change in a variable given the increase and decrease of the other variable
define partial variation
Determine the constant of proportionality in partial variation
Teacher/pupil discussion
Chalkboard illustrations
Chalkboard illustrations
Explore
Maths Bk3
Pg122
7 4
Formulae And Variations
Partial variation problem solving
Formation and solving equations
By the end of the lesson, the learner should be able to:
solve problems on partial variation
form and solve problems on partial variation
Learners form equations from given information
Learners solve problems
Chalkboard illustrations
Chalkboard illustrations
Explore
Maths Bk3
Pg123
7 5
Formulae And Variations
Application to real life situation
Problem solving
By the end of the lesson, the learner should be able to:
use variation to solve everyday life problems
solve problems on formula and variation
Learners answer questions
Learners solve problems
Chalkboard illustrations
Explore
Maths Bk3
Pg125
7 6
Sequences And Series
Number patens
Sequence
By the end of the lesson, the learner should be able to:
Identify simple number patens
define a sequence
Determine a term in a sequence
Learners identify number patens
Learners define sequence
Chart illustrating different number patens
Chalkboard illustrations
Explore
Maths Bk3
Pg189
7 7
Sequences And Series
Arithmetic Sequence
By the end of the lesson, the learner should be able to:
apply the formula a+(n-1)d to find the first term and the common difference
Learners calculate the first term and the common difference
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg195
8 1
Sequences And Series
Geometric Sequence
Arithmetic series
By the end of the lesson, the learner should be able to:
apply the formula arn-1 to find the first term and the common ratio
define an arithmetic series
Learners calculate the first term
Discussions
- Chalkboard illustrations
- calculators
Chalkboard illustrations
Explore
Maths Bk3
Pg196
8 2
Sequences And Series
Deriving the arithmetic series formula
Application of AP formula
By the end of the lesson, the learner should be able to:
derive the formula sn=n (2a+(n-1)d)
apply the A-P formula to solve problems
Learners derive the formula
Learners solve problems
Chalkboard illustrations
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg198
8 3
Sequences And Series
Geometric series
Deriving the Geometric series
By the end of the lesson, the learner should be able to:
define a geometric series
derive the formula
sn=a(rn-1)
r-1 or
sn=a(1- rn)
1-r
Discussions
Learners derive the formula
illustrations
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg201
8 4
Sequences And Series
Application of the AP formula
Application to real life situation
By the end of the lesson, the learner should be able to:
apply the GP formula to solve problems
apply the A.P and G.P formula to solve problems in real life situations
Learners solve problems
Chalkboard illustrations
Explore
Maths Bk3
Pg203-204
8 5
Sequences And Series
Problem solving
By the end of the lesson, the learner should be able to:
solve problems on sequence and series
Learners solve problems
Past paper questions
Past papers
8 6
Vector (2)
Coordinates in two dimensions
Coordinates in 3 dimensions
By the end of the lesson, the learner should be able to:
locate a point in two dimension coordinate system
locate a point in three dimension coordinate system
Learners draw a Cartesian plane and locate a point
Learners draw a 3 dimension Cartesian plane and locate a point
Chart illustrating two dimension coordinates
Model of cube and a cuboid
Explore
Maths Bk3
Pg234
8 7
Vector (2)
Column vector in 3 dimensions
Position vector in 3 dimensions
By the end of the lesson, the learner should be able to:
represent vectors as column vectors in three dimension
represent vectors as position vectors in three dimension
Learners represent vectors in 3 dimension
Teacher/pupil discussion
Model of a cube
Chalkboard illustrations
Explore
Maths Bk3
Pg235
9 1
Vector (2)
Column vector and Position vector
Column vectors in terms of I , j and k
By the end of the lesson, the learner should be able to:
distinguish between a column vector from a position vector
represent column vectors in terms of I , j and k
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg237
9 2
Vector (2)
Magnitude of vector in 3 dimension
By the end of the lesson, the learner should be able to:
determine the magnitude of a vector in three dimensions
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg238
9 3
Vector (2)
Internal division of a line
External division of a line
By the end of the lesson, the learner should be able to:
use vector method to divide a line internally
use vector method in dividing a line externally
Teacher/pupil discussion
Learners state the ratio in which a point divides a line
illustrations
Chalkboard illustrations
Explore
Maths Bk3
Pg245
9 4
Vector (2)
Parallel vectors
Co linearity
By the end of the lesson, the learner should be able to:
use vector method to show collinearity
show collinearity
Learners show parallelism
Learners show collinearity
Chalkboard illustrations
Explore
Maths Bk3
Pg243
9 5
Vector (2)
Problem solving
Deriving the ratio theorem for internal division of a line
By the end of the lesson, the learner should be able to:
solve problems on vectors
derive the ratio theorem for internal division of a line
Learners solve problems
Teacher/pupil discussion
Past paper questions
Chalkboard illustrations
Past papers
9 6
Vector (2)
Deriving the ratio theorem for external division of a line
Application of the ratio theorem
By the end of the lesson, the learner should be able to:
derive the ratio theorem for external division of a line
apply ratio theorem to solve a vector problem
Teacher/pupil discussion
Learners use the ratio theorem
Chalkboard illustrations
Explore
Maths Bk3
Pg.267
9 7
Vector (2)
Application of vector to geometry
By the end of the lesson, the learner should be able to:
apply vector to geometry
Learners apply vector to geometry
Chalkboard illustrations
Explore
Maths Bk3
Pg.261-263
10

END TERM EXAMS


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