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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 3 |
Quadratic Expressions and Equations
|
Factorizing of quadratic expressions. Completing the square method. Perfect square method
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using completing square method and perfect square method |
Discussions
Solving Demonstrating Explaining |
Calculators Chalkboard. Books
|
KLB Mathematics
Book Three Pg 1-6. Discovering Mathematics book 3 pg 1-5 |
|
| 1-2 |
Opening and revision of last exam |
|||||||
| 2 | 4 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators. Chalkboard. Books
|
KLB Mathematics
Book Three Pg 7-8. Discovering Mathematics book 3 pg 6-7 |
|
| 2 | 5 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
|
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Solve the quadratic equation |
Discussions
Solving Demonstrating Explaining |
graph books & geo board. Chalkboard Calculators Rulers pencils
|
KLB Mathematics
Book Three Pg 9-11. Discovering Mathematics book 3 pg 7 |
|
| 2 | 6 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
|
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph books & geo board. Chalkboard. Calculators. Rulers, pencils
|
KLB Mathematics
Book Three Pg 12-14. Discovering Mathematics book 3 pg 9-11 |
|
| 2 | 7 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geo board chalkboard Calculators Rulers pencils
|
KLB Mathematics
Book Three Pg 15-18. Discovering Mathematics book 3 pg 12-14 |
|
| 3 | 1 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geo board chalkboard Calculators Rulers pencils
|
KLB Mathematics
Book Three Pg 15-18. Discovering Mathematics book 3 pg 12-15 |
|
| 3 | 2 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations |
Discussions
Solving Demonstrating Explaining |
graph papers & geo board. Chalkboard calculators rulers pencils
|
KLB Mathematics
Book Three Pg 19-21. Discovering mathematics book 3 pg 15-16 |
|
| 3 | 3 |
Quadratic Expressions and Equations
|
Further graphical solutions
|
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geo boards. Chalkboard Calculators Rulers pencils
|
KLB Mathematics
Book Three Pg 21-23. Discovering Mathematics book 3 pg 16-17 |
|
| 3 | 4 |
Approximations and Errors
|
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 24-26. Discovering Mathematics book 3 pg 18-20 |
|
| 3-4 |
Opener exam |
|||||||
| 4 | 4 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 29-30. Discovering Mathematics book 3 pg 19-20 |
|
| 4 | 5 |
Approximations and Errors
|
Estimation
|
By the end of the
lesson, the learner
should be able to:
Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 30. Discovering Mathematics book 3 pg 21-24 |
|
| 4 | 6 |
Approximations and Errors
|
Accuracy and errors
|
By the end of the
lesson, the learner
should be able to:
Find the absolute error Find the relative error |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 31-32. Discovering mathematics book 3 pg 21-24 |
|
| 4 | 7 |
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 exercise books. Chalkboard
|
KLB Mathematics
Book Three Pg 32-34. Discovering Mathematics book 3 pg 21-24 |
|
| 5 | 1 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 34 Discovering mathematics book 3 pg 21-24 |
|
| 5 | 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 addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 35-36. Discovering mathematics book 3 pg 25-26 |
|
| 5 | 3 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 36-37. Discovering mathematics book 3 pg 26-27 |
|
| 5 | 4 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 36-37. Discovering mathematics book 3 pg 27-28 |
|
| 5 | 5 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 37-38. Discovering mathematics book 3 pg 27 |
|
| 5 | 6 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 37-38. Discovering mathematics book 3 pg 27 |
|
| 5 | 7 |
Approximations and Errors
|
Word problems
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 39-40. Discovering mathematics book 3 pg 28 |
|
| 6 | 1 |
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. Discovering mathematics book 3 pg 29-30 |
|
| 6 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles less than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles less than 90° |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 44-45. Discovering mathematics book 3 pg 29-30 |
|
| 6 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 90°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 90° |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 46-47. Discovering mathematics book 3 pg 31-32 |
|
| 6 | 4 |
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 |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 48-49. Discovering mathematics book 3 pg 33 |
|
| 6 | 5 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 360°
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 360° |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books chalkboard Calculators
|
KLB Mathematics
Book Three Pg 49-51. Discovering mathematics book 3 pg 36 |
|
| 6 | 6 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 51-55. Discovering mathematics book 3 pg 34 |
|
| 6 | 7 |
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. Exercise books chalkboard
|
KLB Mathematics
Book Three Pg 55-56. Discovering mathematics book 3 pg 34 |
|
| 7 | 1 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 56-58. Discovering mathematics book 3 pg 37 |
|
| 7 | 2 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 62-63. Discovering mathematics book 3 pg 39 |
|
| 7 | 3 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 63-64. Discovering mathematics book 3 pg 40 |
|
| 7 | 4 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 64-65. Discovering mathematics book 3 pg 41 |
|
| 7 | 5 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 65-70. Discovering mathematics book 3 pg 43 |
|
| 7 | 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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 71-75. Discovering mathematics book 3 pg 44 |
|
| 7 | 7 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 76-77. Discovering mathematics book 3 pg 45 |
|
| 8 |
Midterm exam |
|||||||
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Surds
|
Rational and irrational numbers.
|
By the end of the
lesson, the learner
should be able to:
State the rational and irrational numbers |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 78-79. Discovering mathematics book 3 pg 46 |
|
| 10 | 2 |
Surds
|
Simplifying surds. Order of surds
|
By the end of the
lesson, the learner
should be able to: simplify and arrange surds in order
|
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 79-80. Discovering mathematics book 3 pg 46-47 |
|
| 10 | 3 |
Surds
|
Subtraction and Addition of surds
|
By the end of the
lesson, the learner
should be able to:
Subtract surds |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 80. Discovering mathematics book 3 pg 47-48 |
|
| 10 | 4 |
Surds
|
Multiplication of surds
|
By the end of the
lesson, the learner
should be able to:
Multiply surds |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 80-82 Discovering mathematics book 3 pg 48 |
|
| 10 | 5 |
Surds
|
Division of surds
|
By the end of the
lesson, the learner
should be able to:
Divide surds |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 81-82. Discovering mathematics book 3 pg 49 |
|
| 10 | 6 |
Surds
|
Rationalizing the denominator
Solving problem |
By the end of the
lesson, the learner
should be able to:
Rationalize the denominator |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 85-87. Discovering mathematics book 3 pg 49-50 |
|
| 10 | 7 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 89. Discovering mathematics book 3 pg 51 |
|
| 11 | 1 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 90-93. Discovering mathematics book 3 pg 51 |
|
| 11 | 2 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 90-93. Discovering mathematics book 3 pg 52 |
|
| 11 | 3 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 93-95. Discovering mathematics book 3 pg 52 |
|
| 11 | 4 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 93-95. Discovering mathematics book 3 pg 53 |
|
| 11 | 5 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 95-96. Discovering mathematics book 3 pg 53 |
|
| 11 | 6 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 95-96. Discovering mathematics book 3 pg 53 |
|
| 11 | 7 |
Further Logarithms
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving logarithms |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 97. Discovering mathematics book 3 pg 54 |
|
| 12 | 1 |
Commercial arithmetic
|
Simple interest
|
By the end of the
lesson, the learner
should be able to:
Calculate simple interest |
Discussions Solving
Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 98-99 Discovering mathematics book 3 pg 55-56 |
|
| 12 | 2 |
Commercial arithmetic
|
Compound interest
|
By the end of the
lesson, the learner
should be able to:
Calculate compound interest |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 102-104 Discovering mathematics book 3 pg 57-58 |
|
| 12 | 3 |
Commercial arithmetic
|
Half-yearly and quarterly interests
|
By the end of the
lesson, the learner
should be able to:
Calculate the half yearly and quarterly interests |
Discussions
Solving Demonstrating Explaining |
Calculators exercise books chalkboard
|
KLB Mathematics
Book Three Pg 104-106 Discovering mathematics book 3 pg 59 |
|
| 12 | 4 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 108. Discovering mathematics book 3 pg 60 |
|
| 12 | 5 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 110-112. Discovering mathematics book 3 pg 61 |
|
| 12 | 6 |
Commercial arithmetic
|
Income tax
|
By the end of the
lesson, the learner
should be able to:
Calculate the income tax |
Discussions
Solving Demonstrating Explaining |
income tax table ,calculator exercise books chalkboard
|
KLB Mathematics
Book Three Pg 112-114. Discovering mathematics book 3 pg 62-63 |
|
| 12 | 7 |
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 exercise books chalkboard
|
KLB Mathematics
Book Three Pg 114-117. Discovering mathematics book 3 pg 63- 64 |
|
| 13-14 |
End term exams |
|||||||
| 14 |
Marking and closing of school |
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