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WK  LSN  TOPIC  SUBTOPIC  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(1r)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(1r)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.225227 

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 Pg138139 

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 
Question answer method
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

Addition of matrices
subtraction of matrices 
By the end of the lesson, the learner should be able to:
add two matrices subtract two matrices 
Learners add 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 Pg180182 

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 Pg186187 

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 Pg113118 

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 answer questions
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+(n1)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 arn1 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+(n1)d) apply the AP 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(rn1) r1 or sn=a(1 rn) 1r 
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 Pg203204 

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.261263 

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 
End of Term examinations 

11 
End of Term examinations 
Your Name Comes Here