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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Trigonometry (II)
|
The unit circle
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 |
|
| 2 | 2 |
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 |
KLB Mathematics
Book Three Pg 44-45 |
|
| 2 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
geo boards & graph books |
KLB Mathematics
Book Three Pg 46-47 |
|
| 2 | 4 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 3600
|
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
|
KLB Mathematics
Book Three Pg 49-51 |
|
| 2 | 5 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
mathematical tables
|
KLB Mathematics
Book Three Pg 51-55 |
|
| 2 | 6 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 2 | 7 |
Trigonometry (II)
|
Radian measure
|
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 3 | 1 |
Trigonometry (II)
|
Simple trigonometric graphs
Graphs of cosines |
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 |
|
| 3 | 2 |
Trigonometry (II)
|
Graphs of tan
|
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 64-65 |
|
| 3 | 3 |
Trigonometry (II)
|
The sine rule
Cosine 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
Calculators |
KLB Mathematics
Book Three Pg 65-70 |
|
| 3 | 4 |
Trigonometry (II)
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 76-77 |
|
| 3 | 5 |
Surds
|
Rational and irrational numbers
Surds |
By the end of the
lesson, the learner
should be able to:
Classify numbers as rational and irrational numbers |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 78 |
|
| 3 | 6 |
Surds
|
Addition of surds
|
By the end of the
lesson, the learner
should be able to:
Add surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 79-80 |
|
| 3 | 7 |
Surds
|
Subtraction of surds
Multiplication of surds |
By the end of the
lesson, the learner
should be able to:
Subtract surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80 |
|
| 4 | 1 |
Surds
|
Division of surds
|
By the end of the
lesson, the learner
should be able to:
Divide surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 81-82 |
|
| 4 | 2 |
Surds
|
Rationalizing the denominator
|
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 85-87 |
|
| 4 | 3 |
Surds
Further Logarithms |
Solving problem
Introduction |
By the end of the
lesson, the learner
should be able to:
Solve problems on surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 87-88 |
|
| 4 | 4 |
Further Logarithms
|
Laws of logarithms
|
By the end of the
lesson, the learner
should be able to:
State the laws of logarithms Use laws of logarithms to solve problems |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 4 | 5 |
Further Logarithms
|
Laws of logarithms
Logarithmic equations and expressions |
By the end of the
lesson, the learner
should be able to:
State the laws of logarithms Use laws of logarithms to solve problems |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 4 | 6 |
Further Logarithms
|
Logarithmic equations and expressions
|
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 4 | 7 |
Further Logarithms
|
Further computation using logarithms
Further computation using logarithms |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 5 | 1 |
Further Logarithms
|
Further computation using logarithms
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 5 | 2 |
Further Logarithms
|
Problem solving
Problem solving |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 |
|
| 5 | 3 |
Commercial arithmetic
|
Simple interest
|
By the end of the
lesson, the learner
should be able to:
Calculate simple interest |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 98-99 |
|
| 5 | 4 |
Commercial arithmetic
|
Compound interest
Appreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 102-106 |
|
| 5 | 5 |
Commercial arithmetic
|
Depreciation
|
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 109 |
|
| 5 | 6 |
Commercial arithmetic
|
Hire purchase
|
By the end of the
lesson, the learner
should be able to:
Find the hire purchase |
Discussions
Solving Demonstrating Explaining |
,calculator
|
KLB Mathematics
Book Three Pg 110-112 |
|
| 5 | 7 |
Commercial arithmetic
|
Income tax
P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Calculate the income tax |
Discussions
Solving Demonstrating Explaining |
income tax table ,calculator
Calculators s |
KLB Mathematics
Book Three Pg 112-114 |
|
| 6 | 1 |
Circles: Chords and tangents
|
Length of an arc
|
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
|
KLB Mathematics
Book Three Pg 124-125 |
|
| 6 | 2 |
Circles: Chords and tangents
|
Chords
Parallel chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 6 | 3 |
Circles: Chords and tangents
|
Equal 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 |
|
| 6 | 4 |
Circles: Chords and tangents
|
Intersecting chords
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 132-135 |
|
| 6 | 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 |
|
| 6 | 6 |
Circles: Chords and tangents
|
Tangent to a circle
Properties of tangents to a circle from an external point |
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
| 6 | 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 direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
Circles: Chords and tangents
|
Contact of circles
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 |
|
| 7 | 3 |
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 |
|
| 7 | 4 |
Circles: Chords and tangents
|
Angle in alternate segment
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 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
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 |
|
| 8 | 1 |
Matrices
|
Matrix representation and order of matrix
Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Represent matrix State the order of a matrix |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 8 | 2 |
Matrices
|
Subtraction of matrices
|
By the end of the
lesson, the learner
should be able to:
Subtract matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171 |
|
| 8 | 3 |
Matrices
|
Combined addition and subtraction of matrices
Matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Perform the combined operation on matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171-174 |
|
| 8 | 4 |
Matrices
|
Matrix multiplication
|
By the end of the
lesson, the learner
should be able to:
Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 176-179 |
|
| 8 | 5 |
Matrices
|
Identity matrix
|
By the end of the
lesson, the learner
should be able to:
Find the identity matrix |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 182-183 |
|
| 8 | 6 |
Matrices
|
Determinant of a 2
Inverse of a 2 |
By the end of the
lesson, the learner
should be able to:
Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 183 |
|
| 8 | 7 |
Matrices
|
Inverse of a 2
|
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 186-187 |
|
| 9 | 1 |
Matrices
|
Solutions of simultaneous equations by matrix method
Solutions of simultaneous equations by matrix method |
By the end of the
lesson, the learner
should be able to:
Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 9 | 2 |
Matrices
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a matrix Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 190 |
|
| 9 | 3 |
Formulae and variations
|
Formulae
Direct variation |
By the end of the
lesson, the learner
should be able to:
Make subject of the given formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 191-193 |
|
| 9 |
Mid-term Break |
|||||||
| 10 | 1 |
Formulae and variations
|
Inverse variation
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving inverse variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 197-200 |
|
| 10 | 2 |
Formulae and variations
|
Partial variation
Joint variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 201-203 |
|
| 10 | 3 |
Formulae and variations
|
Joint variation
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving join variations |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 206 |
|
| 10 | 4 |
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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
Sequences and series
|
Arithmetic 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 |
|
| 10 | 7 |
Sequences and series
|
Geometric 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 |
|
| 11 | 1 |
Vectors II
|
Coordinates in two dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 11 | 2 |
Vectors II
|
Coordinates in three dimensions
Column vectors |
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 |
|
| 11 | 3 |
Vectors II
|
Position vector
|
By the end of the
lesson, the learner
should be able to:
Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 224 |
|
| 11 | 4 |
Vectors II
|
Unit vectors
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 |
|
| 11 | 5 |
Vectors II
|
Magnitude of a vector in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 229-230 |
|
| 11 | 6 |
Vectors II
|
Parallel vectors
Collinear points |
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 |
|
| 11 | 7 |
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 233-234 |
|
| 12 | 1 |
Vectors II
|
Proportion division of a line
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 |
|
| 12 | 2 |
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 |
|
| 12 | 3 |
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 |
|
| 12 | 4 |
Vectors II
|
Ratio theorem
Mid-point |
By the end of the
lesson, the learner
should be able to:
Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 12 | 5 |
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 |
|
| 12 | 6 |
Vectors II
|
Ratio theorem
Applications of vectors |
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 246-248 |
|
| 12 | 7 |
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 rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg |
|
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