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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 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
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 1-2 |
|
| 2 | 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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 2 | 4 |
Quadratic Expressions and Equations
|
The quadratic formula
Formation of quadratic equations Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
graph papers & geoboard |
KLB Mathematics
Book Three Pg 7-9 |
|
| 2 | 5 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
Graphical solutions of quadratic equation 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 |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 2 | 6 |
Quadratic Expressions and Equations
Approximations and Errors |
Graphical solutions of simultaneous equations
Further graphical solutions Computing using calculators |
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 Calculators |
KLB Mathematics
Book Three Pg 19-21 |
|
| 2 | 7 |
Approximations and Errors
|
Computing using calculators
Approximation |
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 26-28 |
|
| 3 | 1 |
Approximations and Errors
|
Estimation
Accuracy and errors Percentage error |
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 | 2 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors Propagation of errors |
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 |
|
| 3 | 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
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 3 | 4 |
Approximations and Errors
|
Propagation of errors
Word problems |
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 | 5 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 |
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 |
|
| 3 | 6 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles 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 |
Discussions
Solving Demonstrating Explaining |
Calculators
geo boards & graph books |
KLB Mathematics
Book Three Pg 46-47 |
|
| 3 | 7 |
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
|
KLB Mathematics
Book Three Pg 51-55 |
|
| 4 | 1 |
Trigonometry (II)
|
Use of calculators
Radian measure Simple trigonometric graphs |
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
Calculators |
KLB Mathematics
Book Three Pg 56-58 |
|
| 4 | 2 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan The sine rule |
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
Calculators |
KLB Mathematics
Book Three Pg 63-64 |
|
| 4 | 3 |
Trigonometry (II)
Surds |
Cosine rule
Problem solving Rational and irrational numbers |
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 | 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
Multiplication of surds Division 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
Further Logarithms |
Rationalizing the denominator
Solving problem Introduction |
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 |
|
| 4 | 7 |
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 |
Exam 1 |
|||||||
| 6 | 1 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 93-95 |
|
| 6 | 2 |
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 |
|
| 6 | 3 |
Further Logarithms
Commercial arithmetic Commercial arithmetic |
Problem solving
Simple interest Compound interest |
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 |
|
| 6 | 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
|
KLB Mathematics
Book Three Pg 108 |
|
| 6 | 5 |
Commercial arithmetic
|
Hire purchase
Income tax P.A.Y.E |
By the end of the
lesson, the learner
should be able to:
Find the hire purchase |
Discussions
Solving Demonstrating Explaining |
,calculator
income tax table ,calculator Calculators s |
KLB Mathematics
Book Three Pg 110-112 |
|
| 6 | 6 |
Circles: Chords and tangents
|
Length of an arc
Chords Parallel chords |
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
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
| 6 | 7 |
Circles: Chords and tangents
|
Equal chords
Intersecting 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 |
|
| 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 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
|
Contact of circles
Problem solving |
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 | 4 |
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 157-160 |
|
| 7 | 5 |
Circles: Chords and tangents
|
Circumscribed circle
Escribed circles Centroid |
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 |
|
| 7 | 6 |
Circles: Chords and tangents
Matrices Matrices |
Orthocenter
Matrix representation and order of matrix Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 167 |
|
| 7 | 7 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction of matrices Matrix multiplication |
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 |
|
| 8 | 1 |
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 |
|
| 8 | 2 |
Matrices
|
Determinant of a 2
Inverse 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 |
Discussions
Solving Demonstrating Explaining |
Calculator
Calculators |
KLB Mathematics
Book Three Pg 183 |
|
| 8 | 3 |
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 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 8 | 4 |
Formulae and variations
|
Formulae
Direct variation Inverse 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 |
|
| 8 | 5 |
Formulae and variations
|
Partial variation
Joint variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 201-203 |
|
| 8 | 6 |
Formulae and variations
Sequences and series Sequences and series |
Joint variation
Sequences Arithmetic 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 |
|
| 8 | 7 |
Sequences and series
|
Geometric sequence
Arithmetic series Geometric series |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 211-213 |
|
| 9 |
Mid term Exam |
|||||||
| 10 | 1 |
Sequences and series
Vectors II Vectors II |
Geometric series
Coordinates in two dimensions Coordinates in three dimensions |
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 |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 10 | 2 |
Vectors II
|
Column vectors
Position vector |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4 |
Vectors II
|
Parallel vectors
Collinear points 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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
Vectors II
|
Proportion division of a line
Ratio theorem 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 |
|
| 10 | 7 |
Vectors II
|
Mid-point
Ratio theorem 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 |
|
| 11 | 1 |
Vectors II
Binomial expansion |
Applications of vectors
Binomial Expansion up to power four |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg 248-249 |
|
| 11 | 2 |
Binomial expansion
|
Pascal
|
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256-257 |
|
| 11 | 3 |
Binomial expansion
|
Pascal
Applications to numerical cases Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 258-259 |
|
| 11 | 4 |
Probability
|
Experimental probability
Range of probability measure |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 11 | 5 |
Probability
|
Probability space
Combined events |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 266-267 |
|
| 11 | 6 |
Probability
|
Combined events
Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 273-274 |
|
| 11 | 7 |
Probability
|
Independent events
Tree diagrams |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 276-277 |
|
| 12 | 1 |
Probability
Compound proportions and rate of work |
Tree diagrams
Compound proportions |
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Calculators |
KLB Mathematics
Book Three Pg 283-285 |
|
| 12 | 2 |
Compound proportions and rate of work
|
Compound proportions
Proportional parts |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 12 | 3 |
Compound proportions and rate of work
|
Rates of work
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 294-295 |
|
| 12 | 4 |
Graphical methods
|
Tables of given relations
Graphs of given relations Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 299 |
|
| 12 | 5 |
Graphical methods
|
Graphical solution of cubic equations
Average rates of change Rate of change at an instant |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 302-304 |
|
| 12 | 6 |
Graphical methods
|
Empirical graphs
Reduction of non-linear laws to linear form |
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 315-316 |
|
| 12 | 7 |
Graphical methods
|
Reduction of non-linear laws to linear form
Equation of a circle Equation of a circle Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
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