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WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
---|---|---|---|---|---|---|---|---|
2 | 1 |
Approximations and Errors
|
Computing using calculators
Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 24-26 |
|
2 | 2 |
Approximations and Errors
|
Approximation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Approximate values by truncation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 29-30 |
|
2 | 3 |
Approximations and Errors
|
Estimation
Accuracy and errors |
By the end of the
lesson, the learner
should be able to:
Approximate values by estimation Find the absolute error Find the relative error |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 30 |
|
2 | 4 |
Approximations and Errors
|
Percentage error
|
By the end of the
lesson, the learner
should be able to:
Find the percentage error of a given value |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 32-34 |
|
2 | 5 |
Approximations and Errors
|
Rounding off error and truncation error
|
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Find the truncation error |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 34 |
|
2 | 6 |
Approximations and Errors
|
Propagation of errors
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
2 | 7 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
3 | 1 |
Approximations and Errors
|
Propagation of errors
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Find the propagation of errors in division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
3 | 2 |
Approximations and Errors
|
Propagation of errors
|
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 |
|
3 | 3 |
Approximations and Errors
Trigonometry (II) |
Word problems
The unit circle |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem Draw the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 39-40 |
|
3 | 4 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 43-44 |
|
3 | 5 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
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 |
|
3 | 6 |
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 |
|
3 | 7 |
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 |
|
4 | 1 |
Trigonometry (II)
|
Use of mathematical tables
Use of mathematical tables |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine Use mathematical tables to find tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
|
KLB Mathematics
Book Three Pg 51-55 |
|
4 | 2 |
Trigonometry (II)
|
Use of calculators
|
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
|
KLB Mathematics
Book Three Pg 56-58 |
|
4 | 3 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs |
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Draw tables for sine of values Draw graphs of sine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
4 | 4 |
Trigonometry (II)
|
Graphs of cosines
|
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 |
|
4 | 5 |
Trigonometry (II)
|
Graphs of tan
The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 64-65 |
|
4 | 6 |
Trigonometry (II)
|
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
|
KLB Mathematics
Book Three Pg 71-75 |
|
4 | 7 |
Trigonometry (II)
Surds |
Problem solving
Rational and irrational numbers |
By the end of the
lesson, the learner
should be able to:
Solve problems on cosines, sines and tan Classify numbers as rational and irrational numbers |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 76-77 |
|
5 | 1 |
Surds
|
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 |
|
5 | 2 |
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 |
|
5 | 3 |
Surds
|
Subtraction of surds
Multiplication of surds |
By the end of the
lesson, the learner
should be able to:
Subtract surds Multiply surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 80 |
|
5 | 4 |
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 |
|
5 | 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 |
|
5 | 6 |
Further Logarithms
|
Introduction
|
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 |
|
5 | 7 |
Further Logarithms
|
Laws of 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 |
|
6 | 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 |
|
6 | 2 |
Further Logarithms
|
Logarithmic equations and expressions
Further computation using logarithms |
By the end of the
lesson, the learner
should be able to:
Solve the logarithmic equations and expressions Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
6 | 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 |
|
6 | 4 |
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 |
|
6 | 5 |
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 Discussions Solving Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 |
|
6 | 6 |
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 |
|
6 | 7 |
Commercial arithmetic
|
Compound interest
Appreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the compound interest Calculate the appreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 102-106 |
|
7 | 1 |
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 |
|
7 | 2 |
Commercial arithmetic
|
Hire purchase
Income tax |
By the end of the
lesson, the learner
should be able to:
Find the hire purchase Calculate the income tax |
Discussions
Solving Demonstrating Explaining |
,calculator
income tax table ,calculator |
KLB Mathematics
Book Three Pg 110-112 |
|
7 | 3 |
Commercial arithmetic
|
P.A.Y.E
|
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e |
Discussions
Solving Demonstrating Explaining |
Calculators s
|
KLB Mathematics
Book Three Pg 114-117 |
|
7 | 4 |
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 Calculate the length of a chord |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
7 | 5 |
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 |
|
7 | 6 |
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 Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 131-132 |
|
7 | 7 |
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 |
|
8 |
MID TERM BREAK |
|||||||
9 | 1 |
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 |
|
9 | 2 |
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 State the properties of tangents to a circle from an external point |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
9 | 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 direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
9 | 4 |
Circles: Chords and tangents
|
Tangents to two circles
Contact of circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of transverse common tangents Calculate the radii of contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 150-151 |
|
9 | 5 |
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 153-154 |
|
9 | 6 |
Circles: Chords and tangents
|
Problem solving
Angle in alternate segment |
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles Calculate the angles in alternate segments |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 154-157 |
|
9 | 7 |
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 160-161 |
|
10 | 1 |
Circles: Chords and tangents
|
Circumscribed circle
Escribed circles |
By the end of the
lesson, the learner
should be able to:
Construct circumscribed circles Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165 |
|
10 | 2 |
Circles: Chords and tangents
|
Centroid
|
By the end of the
lesson, the learner
should be able to:
Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 166 |
|
10 | 3 |
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 |
|
10 | 4 |
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 Add matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
10 | 5 |
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 |
|
10 | 6 |
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 Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171-174 |
|
10 | 7 |
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 |
|
11 | 1 |
Matrices
|
Identity matrix
Determinant of a 2 |
By the end of the
lesson, the learner
should be able to:
Find the identity matrix Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 182-183 |
|
11 | 2 |
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 |
|
KLB Mathematics
Book Three Pg 183-185 |
|
11 | 3 |
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 |
|
11 | 4 |
Matrices
|
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 |
|
11 | 5 |
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 |
|
11 | 6 |
Formulae and variations
|
Formulae
Direct variation |
By the end of the
lesson, the learner
should be able to:
Make subject of the given formula Solve problems involving direct variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 191-193 |
|
11 | 7 |
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 |
|
12 | 1 |
Formulae and variations
|
Partial variation
Joint variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving partial variations Solve problems involving join variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 201-203 |
|
12 | 2 |
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 |
|
12 | 3 |
Trigonometry
|
Trigonometric ratios
Deriving the relation Sin2 0 + Cos2 0 = 1 |
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise
KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Chart illustrating
Trigonometric ratios Charts illustrating the unit circle and right |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
12 | 4 |
Trigonometry
|
Trigonometric ratios
of the form
y = sin x
y = tan x
y = cos x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 - KLB Bk4 Pg 96-99 |
|
12 | 5 |
Trigonometry
|
Trigonometric ratios
of the form
y = sin x
y = tan x
y = cos x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 - KLB Bk4 Pg 96-99 |
|
12 | 6 |
Trigonometry
|
Graphs of
Trigonometric relations
y = a sin x
y = a cos x
y = a tan x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric relations y = sin x y = cos x y = tan x |
Drawing graphs KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-63 - KLB Bk4 Pg 96-99 |
|
12 | 7 |
Trigonometry
|
Simple trigonometric
equations, amplitudes,
period, wavelength and
phase angle of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce from the graphs y = sin x y = tan x y = cos x The amplitude, wavelength and phase angle |
Practice exercise |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-63 |
|
13 | 1 |
Trigonometry
|
Trigonometry
y = a sin (bx + 0)
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a sin (bx + 0) |
Drawing graphs |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 60 |
|
13 | 2 |
Trigonometry
|
Trigonometry
y = a cos (bx + 0)
y = a tan (bx + 0)
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a cos (bx + 0) y = a tan (bx + 0) |
Drawing graphs |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
13 | 3 |
Trigonometry
|
Amplitude, period,
wavelength and phase
Phase angles of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) |
Practice exercise |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
13 | 4 |
Trigonometry
|
Solution to simple
Trigonometric
equations
|
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 65-67 - KLB BK 4 Pg 100-102 |
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