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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 2 |
Approximations and Errors
|
Propagation of errors
Word problems |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 37-38 |
|
| 1 | 3 |
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 |
|
| 1 | 4-5 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 |
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses Calculators |
KLB Mathematics
Book Three Pg 43-44 KLB Mathematics Book Three Pg 46-47 |
|
| 1 | 6 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
Trigonometric ratios of angles greater than 3600 |
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 |
|
| 1 | 7 |
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 | 1 |
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 |
|
| 2 | 2 |
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 |
|
| 2 | 3 |
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 |
|
| 2 | 4-5 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Draw graphs of cosine functions State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 63-64 KLB Mathematics Book Three Pg 65-70 |
|
| 2 | 6 |
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 |
|
| 2 | 7 |
Surds
|
Rational and irrational numbers
|
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 | 1 |
Surds
|
Surds
Addition of surds |
By the end of the
lesson, the learner
should be able to:
State the order of surds Simplify surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 78-79 |
|
| 3 | 2 |
Surds
|
Subtraction 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 |
|
| 3 | 3 |
Surds
|
Multiplication of surds
Division of surds |
By the end of the
lesson, the learner
should be able to:
Multiply surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80-82 |
|
| 3 | 4-5 |
Surds
|
Rationalizing the denominator
Solving problem |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator Solve problems on surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 85-87 KLB Mathematics Book Three Pg 87-88 |
|
| 3 | 6 |
Further Logarithms
|
Introduction
Laws of logarithms |
By the end of the
lesson, the learner
should be able to:
Use calculators to find the logarithm of numbers |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 89 |
|
| 3 | 7 |
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 | 1 |
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 | 2 |
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 |
|
| 4 | 3 |
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 |
|
| 4 | 4-5 |
Further Logarithms
Further Logarithms Commercial arithmetic |
Problem solving
Problem solving Simple interest |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 |
|
| 4 | 6 |
Commercial arithmetic
|
Compound interest
|
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 |
|
| 4 | 7 |
Commercial arithmetic
|
Appreciation
Depreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 108 |
|
| 5 | 1 |
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 | 2 |
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 |
|
| 5 | 3 |
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 |
|
| 5 | 4-5 |
Circles: Chords and tangents
|
Chords
Parallel chords Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 KLB Mathematics Book Three Pg 129-131 |
|
| 5 | 6 |
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 132-135 |
|
| 5 | 7 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle |
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 |
|
| 6 | 1 |
Circles: Chords and tangents
|
Tangent to a circle
|
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 | 2 |
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 |
|
| 6 | 3 |
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 |
|
| 6 | 4-5 |
Circles: Chords and tangents
|
Contact of circles
Problem solving |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Solve problems involving chords, tangents and contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 151-153 KLB Mathematics Book Three Pg 154-157 |
|
| 6 | 6 |
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 |
|
| 6-9 |
Mid term,exams |
|||||||
| 9 | 2 |
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 |
|
| 9 | 3 |
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 |
|
| 9 | 4-5 |
Circles: Chords and tangents
Matrices |
Orthocenter
Matrix representation and order of matrix |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Represent matrix State the order of a matrix |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 167 KLB Mathematics Book Three Pg 168-170 |
|
| 9 | 6 |
Matrices
|
Addition of matrix
Subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Add matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 170 |
|
| 9 | 7 |
Matrices
|
Combined addition and subtraction of matrices
|
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 |
|
| 10 | 1 |
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 174-175 |
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4-5 |
Matrices
|
Inverse of a 2
Solutions of simultaneous equations by matrix method |
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a 2 Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 186-187 KLB Mathematics Book Three Pg 188-190 |
|
| 10 | 6 |
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 |
|
| 10 | 7 |
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 |
|
| 11 | 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 |
|
| 11 | 2 |
Formulae and variations
|
Partial 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 |
|
| 11 | 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 |
Calculators
|
KLB Mathematics
Book Three Pg 204-205 |
|
| 11 | 4-5 |
Sequences and series
|
Sequences
Arithmetic sequences Geometric sequence |
By the end of the
lesson, the learner
should be able to:
Find the next terms Find the nth term of a given arithmetic sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 207-208 KLB Mathematics Book Three Pg 209-210 |
|
| 11 | 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 |
|
| 11 | 7 |
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 |
|
| 12 | 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 |
|
| 12 | 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 |
|
| 12 | 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 |
|
| 12 | 4-5 |
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 Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators |
KLB Mathematics
Book Three Pg 226-228 KLB Mathematics Book Three Pg 229-230 |
|
| 12 | 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 |
|
| 12 | 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 |
|
| 13 | 1 |
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 |
|
| 13 | 2 |
Vectors II
|
Proportion division of a line
|
By the end of the
lesson, the learner
should be able to:
Divide a line externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
|
| 13 | 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 |
|
| 13 | 4-5 |
Vectors II
|
Ratio theorem
Mid-point |
By the end of the
lesson, the learner
should be able to:
Find the position vector Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 KLB Mathematics Book Three Pg 244-245 |
|
| 13 | 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 |
|
| 13 | 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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