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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and revision of end year examination |
|||||||
| 2 | 1 |
Quadratic Expressions and Equations
|
Factorization of quadratic expressions
Completing squares |
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
Solving quadratic expression by completing square |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 3-4 |
|
| 2 | 3 |
Quadratic Expressions and Equations
|
Solving quadratic expression by factorization
|
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by factorization |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 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
|
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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 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 papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 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 & geoboard
|
KLB Mathematics
Book Three Pg 15-17 |
|
| 3 | 1 |
Quadratic Expressions and Equations
|
Graphical solutions of simultaneous equations
Further graphical solutions |
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 & geoboard
graph papers & geoboards |
KLB Mathematics
Book Three Pg 19-21 |
|
| 3 | 2 |
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
|
KLB Mathematics
Book Three Pg 24-26 |
|
| 3 | 3 |
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 |
|
| 3 | 4 |
Approximations and Errors
|
Estimation
Accuracy and errors |
By the end of the
lesson, the learner
should be able to:
Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 30 |
|
| 3 | 5 |
Approximations and Errors
|
Percentage error
Rounding off error and truncation 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 |
|
| 3 | 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 addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 3 | 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 addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 4 | 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 multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 4 | 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 |
|
| 4 | 3 |
Approximations and Errors
Surds |
Word problems
Rational and irrational numbers |
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
|
KLB Mathematics
Book Three Pg 39-40 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
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
|
KLB Mathematics
Book Three Pg 85-87 |
|
| 5 | 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 |
|
| 5 | 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
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 6 |
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 |
|
| 5 | 7 |
Commercial arithmetic
|
Simple interest
Compound 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 | 1 |
Commercial arithmetic
|
Appreciation
|
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 |
|
| 6 | 2 |
Commercial arithmetic
|
Depreciation
Hire purchase |
By the end of the
lesson, the learner
should be able to:
Calculate the depreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator |
KLB Mathematics
Book Three Pg 109 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 6 | 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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 131-132 |
|
| 6 | 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 |
|
| 7 | 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 |
|
| 7 | 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 |
|
| 7 | 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 |
|
| 7 | 4 |
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 151-153 |
|
| 7 | 5 |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 154-157 |
|
| 7 | 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 160-161 |
|
| 7 | 7 |
Circles: Chords and tangents
|
Circumscribed circle
Escribed circles |
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 |
|
| 8 |
Administration of midterm 2 examination and midterm break |
|||||||
| 9 | 1 |
Circles: Chords and tangents
|
Centroid
Orthocenter |
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 |
|
| 9 | 2 |
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 |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 9 | 3 |
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 |
|
| 9 | 4 |
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 |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171-174 |
|
| 9 | 5 |
Matrices
|
Matrix multiplication
Identity matrix |
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 |
|
| 9 | 6 |
Matrices
|
Determinant 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 |
|
| 9 | 7 |
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 183-185 |
|
| 10 | 1 |
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 |
|
| 10 | 2 |
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 | 3 |
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 |
|
| 10 | 4 |
Formulae and variations
|
Inverse variation
Partial 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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
Formulae and variations
Sequences and series |
Joint variation
Sequences |
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 |
|
| 10 | 7 |
Sequences and series
|
Arithmetic sequences
Geometric sequence |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 209-210 |
|
| 11 | 1 |
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 | 2 |
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 |
|
| 11 | 3 |
Vectors II
|
Coordinates in two dimensions
Coordinates in three 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 |
|
| 11 | 4 |
Vectors II
|
Column vectors
|
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 |
|
| 11 | 5 |
Vectors II
|
Position vector
Unit vectors |
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 |
|
| 11 | 6 |
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 |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 11 | 7 |
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 | 1 |
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 |
|
| 12 | 2 |
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 |
|
| 12 | 3 |
Vectors II
|
Proportion division of a line
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 239 |
|
| 12 | 4 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 12 | 5 |
Vectors II
|
Mid-point
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 243 |
|
| 12 | 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 |
|
| 12 | 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 |
|
| 13 |
Administration of end of term 2 examination and closing of the school |
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