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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Vectors
|
Definition and Representation of vectors
Equivalent vectors |
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. identify equivalent vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 2 | 2 |
Vectors
|
Addition of vectors
|
By the end of the
lesson, the learner
should be able to:
add vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 286-289
|
|
| 2 | 3 |
Vectors
|
Multiplication of vectors
Position vectors |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar define a position vector illustrate position vectors on a Cartesian plane |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 2 | 4 |
Vectors
|
Column vector
|
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 296-297
|
|
| 2 | 5 |
Vectors
|
Magnitude of a vector
|
By the end of the
lesson, the learner
should be able to:
find the magnitude of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 301
|
|
| 2 | 6 |
Vectors
|
Mid - point
Translation vector |
By the end of the
lesson, the learner
should be able to:
calculate the midpoint of a vector find the translation vector given the object and the image |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 302
|
|
| 2 | 7 |
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 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
Quadratic Expressions and Equations
|
Solving quadratic expression by completing square
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by completing square |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 5-6 |
|
| 3 | 3 |
Quadratic Expressions and Equations
|
Solving quadratic expression by factorization
The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 3 | 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
|
KLB Mathematics
Book Three Pg 7-9 |
|
| 3 | 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 |
|
| 3 | 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 papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 3 | 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 & geoboard
|
KLB Mathematics
Book Three Pg 15-17 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 & geoboards
|
KLB Mathematics
Book Three Pg 21-23 |
|
| 4 | 3 |
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 |
|
| 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
|
KLB Mathematics
Book Three Pg 29-30 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Find the truncation error Find the propagation of errors in addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 34 |
|
| 5 | 1 |
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
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 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 multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 5 | 3 |
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 |
|
| 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 division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 37-38 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
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 |
|
| 5 | 7 |
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 |
|
| 6 | 1 |
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 |
|
| 6 | 2 |
Trigonometry (II)
|
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 greater than 3600 Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
mathematical tables |
KLB Mathematics
Book Three Pg 49-51 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
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 |
|
| 6 | 7 |
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 |
|
| 7 | 1 |
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 |
|
| 7 | 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 |
|
| 7 | 3 |
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 |
|
| 7 | 4 |
Surds
|
Addition of surds
Subtraction of surds |
By the end of the
lesson, the learner
should be able to:
Add surds Subtract surds |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 79-80 |
|
| 7 | 5 |
Surds
|
Multiplication 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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
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 |
|
| 8 |
Midterm |
|||||||
| 9 | 1 |
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 |
|
| 9 | 2 |
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 |
|
| 9 | 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
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 9 | 4 |
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 |
|
| 9 | 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
|
KLB Mathematics
Book Three Pg 95-96 |
|
| 9 | 6 |
Further Logarithms
|
Further computation using logarithms
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 95-96 |
|
| 9 | 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
|
KLB Mathematics
Book Three Pg 97 |
|
| 10 | 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
|
KLB Mathematics
Book Three Pg 98-99 |
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4 |
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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
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 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
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 | 3 |
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 |
|
| 11 | 4 |
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 | 5 |
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 |
|
| 11 | 6 |
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 |
|
| 11 | 7 |
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 |
|
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