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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and revision of previous term exam |
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| 2 | 1 |
Quadratic Expressions and Equations
|
Factorization of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Write the perfect squares |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 1 |
|
| 2 | 2 |
Quadratic Expressions and Equations
|
Completing squares
Completing squares |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 1-2 |
|
| 2 | 3-4 |
Quadratic Expressions and Equations
|
Solving quadratic expression by completing square
Solving quadratic expression by factorization The quadratic formula The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by completing square Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 5-6 KLB Mathematics Book Three Pg 7-9 |
|
| 2 | 5 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Solve the quadratic equation Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 2 | 6 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
Graphical solutions of quadratic equation |
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 2 | 7 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
Graphical solutions of simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 17-19 |
|
| 3 | 1 |
Quadratic Expressions and Equations
Approximations and Errors |
Further graphical solutions
Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Draw tables of other related quadratic equations Solve other related quadratic functions graphically Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboards
Calculators |
KLB Mathematics
Book Three Pg 21-23 |
|
| 3 | 2 |
Approximations and Errors
|
Computing using calculators
Approximation |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators Approximate values by rounding off Approximate values by truncation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 26-28 |
|
| 3 | 3-4 |
Approximations and Errors
|
Estimation
Accuracy and errors Percentage error Rounding off error and truncation error |
By the end of the
lesson, the learner
should be able to:
Approximate values by estimation Find the absolute error Find the relative error Find the percentage error of a given value Find the rounding off error Find the truncation error |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 30 KLB Mathematics Book Three Pg 32-34 |
|
| 3 | 5 |
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 |
|
| 3 | 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 multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 3 | 7 |
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 division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 37-38 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
KLB Mathematics
Book Three Pg 43-44 |
|
| 4 | 3-4 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles 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 Find the trigonometric values of negative angles Find the trigonometric values of angles greater than 3600 Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
Calculators
geo boards & graph books geo boards & graph books mathematical tables |
KLB Mathematics
Book Three Pg 46-47 KLB Mathematics Book Three Pg 49-51 |
|
| 4 | 5 |
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 Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 4 | 6 |
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 | 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 Draw tables for tan of values Draw graphs of tan functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 63-64 |
|
| 5 |
Mid term exam |
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| 6 | 1 |
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 |
|
| 6 | 2 |
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 |
|
| 6 | 3-4 |
Surds
|
Surds
Addition of surds Subtraction of surds Multiplication of surds |
By the end of the
lesson, the learner
should be able to:
State the order of surds Simplify surds Add surds Subtract surds Multiply surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 78-79 KLB Mathematics Book Three Pg 80 |
|
| 6 | 5 |
Surds
|
Division of surds
Rationalizing the denominator |
By the end of the
lesson, the learner
should be able to:
Divide surds Rationalize the denominator |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 81-82 |
|
| 6 | 6 |
Surds
Further Logarithms |
Solving problem
Introduction |
By the end of the
lesson, the learner
should be able to:
Solve problems on surds Use calculators to find the logarithm of numbers |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 87-88 |
|
| 6 | 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 |
|
| 7 | 1 |
Further Logarithms
|
Logarithmic equations and expressions
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 |
|
| 7 | 2 |
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 |
|
| 7 | 3-4 |
Further Logarithms
Commercial arithmetic |
Problem solving
Problem solving Simple interest Compound interest |
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms Calculate simple interest Calculate the compound interest |
Discussions
Solving Demonstrating Explaining Discussions Solving Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 KLB Mathematics Book Three Pg 98-99 |
|
| 7 | 5 |
Commercial arithmetic
|
Appreciation
Depreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items Calculate the depreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 108 |
|
| 7 | 6 |
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 | 7 |
Commercial arithmetic
Circles: Chords and tangents |
P.A.Y.E
Length of an arc |
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e Calculate the length of an arc |
Discussions
Solving Demonstrating Explaining |
Calculators s
Geometrical set,calculator |
KLB Mathematics
Book Three Pg 114-117 |
|
| 8 |
Mid term break |
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| 9 | 1 |
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 Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 9 | 2 |
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 |
|
| 9 | 3-4 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle 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 intersecting chords Construct a tangent to a circle 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 135-139 KLB Mathematics Book Three Pg 141-142 |
|
| 9 | 5 |
Circles: Chords and tangents
|
Tangents to two circles
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents Calculate the tangents of transverse common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 9 | 6 |
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 |
|
| 9 | 7 |
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 |
|
| 10 | 1 |
Circles: Chords and tangents
|
Angle in alternate segment
Circumscribed circle |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Construct circumscribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 160-161 |
|
| 10 | 2 |
Circles: Chords and tangents
|
Escribed circles
Centroid |
By the end of the
lesson, the learner
should be able to:
Construct escribed circles Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165-166 |
|
| 10 | 3-4 |
Circles: Chords and tangents
Matrices |
Orthocenter
Matrix representation and order of matrix Addition of matrix Subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Represent matrix State the order of a matrix Add matrices Subtract matrices |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 167 KLB Mathematics Book Three Pg 170 |
|
| 10 | 5 |
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 | 6 |
Matrices
|
Matrix multiplication
Identity matrix |
By the end of the
lesson, the learner
should be able to:
Multiply matrices Find the identity matrix |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 176-179 |
|
| 10 | 7 |
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 Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 183 |
|
| 11 | 1 |
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 | 2 |
Matrices
|
Solutions of simultaneous equations by matrix method
Problem solving |
By the end of the
lesson, the learner
should be able to:
Solve simultaneous equations by matrix method Calculate the inverse of a matrix |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 11 | 3-4 |
Formulae and variations
|
Formulae
Direct variation Inverse variation Partial variation |
By the end of the
lesson, the learner
should be able to:
Make subject of the given formula Solve problems involving direct variations Solve problems involving inverse variations Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 191-193 KLB Mathematics Book Three Pg 197-200 |
|
| 11 | 5 |
Formulae and variations
|
Joint variation
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 | 6 |
Sequences and series
|
Sequences
Arithmetic sequences |
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 |
|
| 11 | 7 |
Sequences and series
|
Geometric sequence
Arithmetic 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 sequence Find the nth term of a given arithmetic series Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 211-213 |
|
| 12 |
End term exam |
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| 13 |
Exam compilation and closing |
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