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SCHEME OF WORK
Mathematics
Form 3 2025
TERM II
School


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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
2 1
Circles: Chords and tangents
Length of an arc
Chords
By the end of the lesson, the learner should be able to:

Calculate the length of an arc
Discussions
Solving
Demonstrating
Explaining
Geometrical set,calculator
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 124-125
2 2
Circles: Chords and tangents
Parallel chords
By the end of the lesson, the learner should be able to:

Calculate the perpendicular bisector
Find the value of parallel chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 129-131
2 3
Circles: Chords and tangents
Equal chords
Intersecting chords
By the end of the lesson, the learner should be able to:

Find the length of equal chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 131-132
2 4
Circles: Chords and tangents
Intersecting chords
By the end of the lesson, the learner should be able to:

Calculate the length of intersecting chords
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 135-139
2 5
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
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 139-140
2 6
Circles: Chords and tangents
Properties of tangents to a circle from an external point
Tangents to two circles
By the end of the lesson, the learner should be able to:

State the properties of tangents to a circle from an external point
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 142-144
2 7
Circles: Chords and tangents
Tangents to two circles
By the end of the lesson, the learner should be able to:

Calculate the tangents of transverse common tangents
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 150-151
3 1
Circles: Chords and tangents
Contact of circles
By the end of the lesson, the learner should be able to:

Calculate the radii of contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 151-153
3 2
Circles: Chords and tangents
Problem solving
By the end of the lesson, the learner should be able to:

Solve problems involving chords, tangents and contact circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 154-157
3 3
Circles: Chords and tangents
Angle in alternate segment
By the end of the lesson, the learner should be able to:

Calculate the angles in alternate segments
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 157-160
3 4
Circles: Chords and tangents
Circumscribed circle
By the end of the lesson, the learner should be able to:

Construct circumscribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165
3 5
Circles: Chords and tangents
Escribed circles
Centroid
By the end of the lesson, the learner should be able to:

Construct escribed circles
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 165-166
3 6
Circles: Chords and tangents
Orthocenter
By the end of the lesson, the learner should be able to:

Construct orthocenter
Discussions
Solving
Demonstrating
Explaining
Geometrical set ,calculator
KLB Mathematics
Book Three
Pg 167
3 7
Trigonometry (II)
The unit circle
By the end of the lesson, the learner should be able to:

Draw the unit circle
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
KLB Mathematics
Book Three
Pg 41-42
4 1
Trigonometry (II)
Trigonometric ratios of angles greater than 900
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles
Discussions
Solving
Demonstrating
Explaining
Calculators
Protractor
Ruler
Pair of compasses
Calculators 
KLB Mathematics
Book Three
Pg 44-45
4 2
Trigonometry (II)
Trigonometric ratios of negative angles
By the end of the lesson, the learner should be able to:

Find the trigonometric values of negative angles
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
KLB Mathematics
Book Three
Pg 48-49
4 3
Trigonometry (II)
Trigonometric ratios of angles greater than 3600
Use of mathematical tables
By the end of the lesson, the learner should be able to:

Find the trigonometric values of angles greater than 3600
Discussions
Solving
Demonstrating
Explaining
geo boards & graph books
mathematical tables
KLB Mathematics
Book Three
Pg 49-51
4 4
Trigonometry (II)
Use of mathematical tables
By the end of the lesson, the learner should be able to:

Use mathematical tables to find tan
Discussions
Solving
Demonstrating
Explaining
mathematical tables
KLB Mathematics
Book Three
Pg 55-56
4 5
Trigonometry (II)
Use of calculators
Radian measure
By the end of the lesson, the learner should be able to:

Use calculators to find sine, cosine and tan
Discussions
Solving
Demonstrating
Explaining
calculators
Calculators 
KLB Mathematics
Book Three
Pg 56-58
4 6
Trigonometry (II)
Simple trigonometric graphs
By the end of the lesson, the learner should be able to:

Draw tables for sine of values
Draw graphs of sine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 62-63
4 7
Trigonometry (II)
Graphs of cosines
Graphs of tan
By the end of the lesson, the learner should be able to:

Draw tables for cosine of values
Draw graphs of cosine functions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 63-64
5 1
Trigonometry (II)
The sine rule
By the end of the lesson, the learner should be able to:

State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators                                                       
KLB Mathematics
Book Three
Pg 65-70
5 2
Trigonometry (II)
Cosine rule
Problem solving
By the end of the lesson, the learner should be able to:

State the sine rule
Use sine rule to find solution of triangles
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 71-75
5 3
Sequences and series
Sequences
Arithmetic sequences
By the end of the lesson, the learner should be able to:

Find the next terms
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 207-208
5 4
Sequences and series
Geometric sequence
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric sequence
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 211-213
5 5
Sequences and series
Arithmetic series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given arithmetic series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 214-215
5 6
Sequences and series
Geometric series
By the end of the lesson, the learner should be able to:

Find the nth term of a given geometric series
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 216-219
5 7
Binomial expansion
Binomial Expansion up to power four
Pascal
By the end of the lesson, the learner should be able to:

Expand binomial function up to power four
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 256
6 1
Binomial expansion
Pascal
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
6 2
Binomial expansion
Pascal
Applications to numerical cases
By the end of the lesson, the learner should be able to:

Use Pascal
Discussions
Solving
Demonstrating
Explaining
 calculators
KLB Mathematics
Book Three
Pg 258-259
6 3
Binomial expansion
Applications to numerical cases
By the end of the lesson, the learner should be able to:

Use binomial expansion to solve numerical problems
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 259-260
6 4
Compound proportions and rate of work
Compound proportions
By the end of the lesson, the learner should be able to:

Find the compound proportions
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 288-290
6 5
Compound proportions and rate of work
Proportional parts
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the proportional parts
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 291-293
6 6
Compound proportions and rate of work
Rates of work
By the end of the lesson, the learner should be able to:

Calculate the rate of work
Discussions
Solving
Demonstrating
Explaining
Calculators 
KLB Mathematics
Book Three
Pg 295-296
6 7
Compound proportions and rate of work
Vectors II
Rates of work
Coordinates in two dimensions
By the end of the lesson, the learner should be able to:

Calculate the rate of work
Discussions
Solving
Demonstrating
Explaining
Calculators 
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 295-296
7 1
Vectors II
Coordinates in three dimensions
By the end of the lesson, the learner should be able to:

Identify the coordinates of appoint in three dimensions
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 222
7 2
Vectors II
Column vectors
Position vector
By the end of the lesson, the learner should be able to:

Find a displacement and represent it in column vector
Discussions
Solving
Demonstrating
Explaining
Wire mesh in 3 dimensions
KLB Mathematics
Book Three
Pg 223-224
7 3
Vectors II
Unit vectors
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
KLB Mathematics
Book Three
Pg 226-228
7 4
Vectors II
Unit vectors
Magnitude of a vector in three dimensions
By the end of the lesson, the learner should be able to:

Express vectors in terms of unit vectors
Discussions
Solving
Demonstrating
Explaining
calculators
KLB Mathematics
Book Three
Pg 226-228
7 5
Vectors II
Parallel vectors
By the end of the lesson, the learner should be able to:

Identify parallel vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 231-232
7 6
Vectors II
Collinear points
By the end of the lesson, the learner should be able to:

Show that points are collinear
Discussions
Solving
Demonstrating
Explaining
Geoboard
KLB Mathematics
Book Three
Pg 232
7 7
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line internally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 237-238
8

Midterm exams

9

Midterm break

10 1
Vectors II
Proportion division of a line
By the end of the lesson, the learner should be able to:

Divide a line internally and externally in the given ratio
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 239
10 2
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Express position vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 240
10 3
Vectors II
Mid-point
By the end of the lesson, the learner should be able to:

Find the mid-points of the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 243
10 4
Vectors II
Ratio theorem
By the end of the lesson, the learner should be able to:

Use ratio theorem to find the given vectors
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 244-245
10 5
Vectors II
Applications of vectors
By the end of the lesson, the learner should be able to:

Use vectors to show the diagonals of a parallelogram
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
KLB Mathematics
Book Three
Pg 248-249
10 6
Vectors II
Probability
Applications of vectors
Experimental probability
By the end of the lesson, the learner should be able to:

Use vectors to show the diagonals of a rectangle
Discussions
Solving
Demonstrating
Explaining
Geoboard, calculators
Calculators
KLB Mathematics
Book Three
Pg
10 7
Probability
Experimental probability
By the end of the lesson, the learner should be able to:

Calculate the experimental probability
Discussions
Solving
Demonstrating
Explaining
Calculators
KLB Mathematics
Book Three
Pg 262-264
11 1
Probability
Range of probability measure
Probability space
By the end of the lesson, the learner should be able to:

Calculate the range of probability measure
Discussions
Solving
Demonstrating
Explaining
Calculators
Calculators, charts
KLB Mathematics
Book Three
Pg 265-266
11 2
Probability
Probability space
Combined events
By the end of the lesson, the learner should be able to:

Calculate the probability space for the theoretical probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 268-270
11 3
Probability
Combined events
By the end of the lesson, the learner should be able to:

Find the probability of a combined events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 273-274
11 4
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 274-275
11 5
Probability
Independent events
By the end of the lesson, the learner should be able to:

Find the probability of independent events
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 278-280
11 6
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Draw tree diagrams to show the probability space
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 282
11 7
Probability
Tree diagrams
By the end of the lesson, the learner should be able to:

Use tree diagrams to find probability
Discussions
Solving
Demonstrating
Explaining
Calculators, charts
KLB Mathematics
Book Three
Pg 283-285
12

End term exams and closing


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