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WK LSN TOPIC SUB-TOPIC OBJECTIVES L/ACTIVITIES L/T AIDS REFERENCE REMARKS
1 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
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Maths Bk3
Pg.215
1 2
Commercial Arithmetic
Commercial Arythmetic
Calculating amount in compound interest
Simple interest
By the end of the lesson, the learner should be able to:
calculate the amount in compound interest
calculate simple interest using simple interest formula
Learners calculate the amount of compound interest
Teacher/pupil discussion
- Calculators
- Chalkboard illustrations
Chalkboard illustrations
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Maths Bk3
Pg.216
1 3
Commercial Arythmetic
Calculating the rate in compound interest
Calculating the time in compound interest
By the end of the lesson, the learner should be able to:
calculate the rate in compound interest
calculate the time in compound interest
Learners calculate the rate
Learners calculate the time
- Calculators
- Chalkboard illustrations
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Maths Bk3
Pg.217
1 4
Commercial Arythmetic
Calculating the principal in compound interest
Calculating the interest in compound interest
By the end of the lesson, the learner should be able to:
calculate the principal in compound interest
calculate the interest in compound interest
Learners calculate the principal
Learners calculate the interest
- Calculators
- Chalkboard illustrations
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Maths Bk3
Pg.219
1 5
Commercial Arythmetic
Appreciation
By the end of the lesson, the learner should be able to:
define appreciation and calculate problems involving appreciation
Learners calculate problems
Chalkboard illustrations
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Maths Bk3
Pg.220
1 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
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Maths Bk3
Pg.221
1 7
Commercial Arythmetic
Circles, Chords And Tangents
Income tax
Length of a arc
By the end of the lesson, the learner should be able to:
calculate basic salary given income tax bands, income tax relief.
calculate the length of a arc
Learners calculate the basic salary
Learners draw circle calculate length of an arc
- Chalkboard illustrations
- Income tax bands
Previous work covered
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Maths Bk3
Pg.225-227
2 1
Circles, Chords And Tangents
Chord A line from the centre of a circle is a perpendicular bisector of a chord
Equal chords
By the end of the lesson, the learner should be able to:
prove the property of a c and a perpendicular line perpendicular to a chord
state the property of equal chords and use it to calculate measurements
Learners draw circle and prove the property
Learners use the property to calculate measurements
- Chalkboard illustrations
- Pair of compass
- Pair of compass,
- ruler
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Maths Bk3
Pg.102
2 2
Circles, Chords And Tangents
Parallel chords on the same side of the centre of a circle
Parallel chords on an opposite side of the centre of a circle
By the end of the lesson, the learner should be able to:
state the property of Parallel chords and use it to calculate measurements
calculate the radius of a circle given two parallel chords on opposite sides of the circle
Learners
calculate measurements
calculate
- Pair of compass,
- ruler
- Chalkboard illustrations
Chalkboard illustrations
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Maths Bk3
Pg.103
2 3
Circles, Chords And Tangents
Intersecting chords (intersect inside a circle)
Intersecting chords (intersect outside a circle)
By the end of the lesson, the learner should be able to:
calculate the length of chords that intersect inside a circle
calculate the length of chords that intersect outside a circle
Learners use similarity to derive a formula to calculate the length of a chord
Learners use similarity to derive a formula
Chalkboard illustrations
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Maths Bk3
Pg.104
2 4
Circles, Chords And Tangents
Tangent to a circle
By the end of the lesson, the learner should be able to:
construct a tangent to a circle
Teacher/pupil discussion
- Pair of compass,
- ruler
- Chalkboard illustrations
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Maths Bk3
Pg105
2 5
Circles, Chords And Tangents
Constructing a tangent from an external point
Direct common Tangent
By the end of the lesson, the learner should be able to:
construct a tangent from an external point
construct a direct common tangent to two circles
Teacher/pupil discussion
- Pair of compass,
- Ruler
- Chalkboard illustrations
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Maths Bk3
Pg138-139
2 6
Circles, Chords And Tangents
Angles in alternate segment
Circumscribed circle
By the end of the lesson, the learner should be able to:
relate angles in alternate segment
construct a circumscribed circle
Teacher/pupil discussion
- Pair of compass,
- ruler
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Maths Bk3
Pg153
2 7
Circles, Chords And Tangents
Inscribed circle
Escribed circle
By the end of the lesson, the learner should be able to:
construct an inscribed circle
construct an escribed circle
Teacher/pupil discussion
Discussion
- Ruler
- Pair of compass,
- pair of compass
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Maths Bk3
Pg206
3 1
Circles, Chords And Tangents
Contact circle Internal contact
external contact
By the end of the lesson, the learner should be able to:
solve problems on contact circles (internal contact)
solve problems on contact circles which are external contact
Teacher/pupil discussion
Learners draw two circles with external contact
- Ruler
- Pair of compass
- Chalkboard illustrations
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Maths Bk3
Pg210
3 2
Circles, Chords And Tangents
Centroid
By the end of the lesson, the learner should be able to:
locate centroid of a circle
Learners draw a triangle and locate the centroid
- Pair of compass
- Chalkboard illustrations
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Maths Bk3
Pg211
3 3
Circles, Chords And Tangents
Orthocenter
Application of tangents and chords to real life situation
By the end of the lesson, the learner should be able to:
locate orthocenter of a circle
apply the knowledge of tangents and chords to real life situation
Learners draw a triangle and locate the orthocentre
Teacher/pupil discussion
- Pair of compass
- Chalkboard illustrations
- Pulleys
- A bicycle
- calculator
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Maths Bk3
Pg211
3 4
Circles, Chords And Tangents
Problem solving
Transverse Tangents
By the end of the lesson, the learner should be able to:
solve problems on real life situations
construct a transverse common tangent to two circles
Teacher/pupil discussion
Past paper questions
- Pair of compass,
- ruler
- set square
Past papers
3 5
Matrices
Definition order of a matrix
Square matrix
By the end of the lesson, the learner should be able to:
define a matrix
State the order of a matrix
define a square matrix and use it to state its order
Teacher defines, learners state the order
Learners give examples of square matrices
Chalkboard illustrations
Chalkboard illustrations
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Maths Bk3
Pg93
3 6
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
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Maths Bk3
Pg94
3 7
Matrices
multiplication by a scalar
multiplication of two matrices
By the end of the lesson, the learner should be able to:

? Education Plus Agencies
multiply a matrix and a scalar
multiply two matrices
Learners multiply a matrix by a scalar
Learners multiply two matrices
- Chalkboard illustrations
- calculators
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Maths Bk3
Pg96
4

#### Continuous Assessment Test

5 1
Matrices
Identify matrix
By the end of the lesson, the learner should be able to:
identify an identity matrix
Learners identify an identity matrix
- Chalkboard illustrations
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Maths Bk3
Pg180-182
5 2
Matrices
Determinant of a matrix
Inverse of 2 by 2 matrix
By the end of the lesson, the learner should be able to:
find the determinant of a 2 by 2 matrix
find the inverse of a 2 by 2 matrix
Learners find the determinant of a matrix
Teacher leads pupil to find the inverse
- Chalkboard illustrations
- calculators
Chart illustrating the steps of finding the inverse
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Maths Bk3
Pg182
5 3
Matrices
Singular matrix
Solving simultaneous equations
By the end of the lesson, the learner should be able to:
identify a singular matrix and find the elements of a singular matrix
solve simultaneous equations by the matrix method
Learners identify singular matrix
Teacher leads pupil to solve simultaneous equations
- Chalkboard illustrations
- calculators
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Maths Bk3
Pg184
5 4
Matrices
Solving simultaneous equations which have fractions using matrices
Problem solving
By the end of the lesson, the learner should be able to:
solve simultaneous equations which involve fractions by the matrix method
solve problems involving matrices
Learners solve equations
Learners solve problems
- Chalkboard illustrations
- calculators
Past paper questions
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Maths Bk3
Pg186-187
5 5
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
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Maths Bk3
Pg37
5 6
Formulae And Variations
Direct variation
By the end of the lesson, the learner should be able to:
define direct variation
Identify the constant of proportionality
Teacher/pupil discussion
Chalkboard illustrations
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Maths Bk3
Pg112
5 7
Formulae And Variations
Graphs of direct variation
Inverse variation
By the end of the lesson, the learner should be able to:
draw graphs of direct variation
define inverse variation
Determine the constant of proportionality
Learners draw graphs
Teacher/pupil discussion
Graph papers
Chalkboard illustrations
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Maths Bk3
Pg113-118
6

#### Mid term break

7 1
Formulae And Variations
Graphs of inverse variation
Joint variation
By the end of the lesson, the learner should be able to:
draw the graph of inverse variation
define joint variation
Determine the constant of proportionality
Learners draw graphs
Learners solve given problems
- Graph papers
- Chalkboard illustrations
Chalkboard illustrations
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Maths Bk3
Pg120
7 2
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
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Maths Bk3
Pg122
7 3
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
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Maths Bk3
Pg123
7 4
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 solve problems
Chalkboard illustrations
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Maths Bk3
Pg125
7 5
Sequences And Series
Number patens
By the end of the lesson, the learner should be able to:
Identify simple number patens
Learners identify number patens
Chart illustrating different number patens
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Maths Bk3
Pg189
7 6
Sequences And Series
Sequence
Arithmetic Sequence
By the end of the lesson, the learner should be able to:
define a sequence
Determine a term in a sequence
apply the formula a+(n-1)d to find the first term and the common difference
Learners define sequence
Learners calculate the first term and the common difference
Chalkboard illustrations
- Chalkboard illustrations
- calculators
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Maths Bk3
Pg192
7 7
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
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Maths Bk3
Pg196
8 1
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
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Maths Bk3
Pg198
8 2
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
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Maths Bk3
Pg201
8 3
Sequences And Series
Application of the AP formula
By the end of the lesson, the learner should be able to:
apply the GP formula to solve problems
Learners solve problems
Chalkboard illustrations
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Maths Bk3
Pg203-204
8 4
Sequences And Series
Application to real life situation
Problem solving
By the end of the lesson, the learner should be able to:
apply the A.P and G.P formula to solve problems in real life situations
solve problems on sequence and series
Learners solve problems
Chalkboard illustrations
Past paper questions
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Maths Bk3
Pg205
8 5
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
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Maths Bk3
Pg234
8 6
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
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Maths Bk3
Pg235
8 7
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
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Maths Bk3
Pg237
9 1
Vector (2)
Magnitude of vector in 3 dimension
Internal division of a line
By the end of the lesson, the learner should be able to:
determine the magnitude of a vector in three dimensions
use vector method to divide a line internally
Teacher/pupil discussion
Chalkboard illustrations
illustrations
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Maths Bk3
Pg238
9 2
Vector (2)
External division of a line
By the end of the lesson, the learner should be able to:
use vector method in dividing a line externally
Learners state the ratio in which a point divides a line
Chalkboard illustrations
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Maths Bk3
Pg246
9 3
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
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Maths Bk3
Pg243
9 4
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 5
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
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Maths Bk3
Pg.267
9 6
Vector (2)
Binomial Expansions
Application of vector to geometry
Expansion up to power 4
By the end of the lesson, the learner should be able to:
apply vector to geometry
expand binomial expressions up to power 4 by multiplication
Learners apply vector to geometry
Learners expand the expansions
Chalkboard illustrations
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Maths Bk3
Pg.261-263
9 7
Binomial Expansions
Pascal?s triangle
By the end of the lesson, the learner should be able to:
build up Pascal?s triangle up to the eleventh raw
Teacher/pupil discussion
Chart illustrating Pascal?s triangle illustrations
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Maths Bk3
Pg.229
10

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