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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 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 |
|
| 2 | 2 |
Further Logarithms
|
Laws of logarithms
Laws of logarithms Logarithmic equations and expressions |
By the end of the lesson, the learner should be able to:
State the laws of logarithms Use laws of logarithms to solve problems Solve the logarithmic equations and expressions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 90-93 |
|
| 2 | 3 |
Further Logarithms
|
Logarithmic equations and expressions
Further computation using logarithms 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 |
|
| 2 | 4 |
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 |
|
| 2 | 5 |
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 Calculate simple interest Calculate the compound interest |
Discussions Solving
Demonstrating Explaining Discussions Solving Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 97 |
|
| 2 | 6 |
Commercial arithmetic
|
Appreciation
Depreciation Hire purchase |
By the end of the lesson, the learner should be able to:
Calculate the appreciation value of items Calculate the depreciation value of items Find the hire purchase |
Discussions
Solving Demonstrating Explaining |
Calculators
,calculator |
KLB Mathematics
Book Three Pg 108 |
|
| 2 | 7 |
Commercial arithmetic
Circles: Chords and tangents |
Income tax
P.A.Y.E Length of an arc |
By the end of the lesson, the learner should be able to:
Calculate the income tax Calculate the p.a.y.e Calculate the length of an arc |
Discussions
Solving Demonstrating Explaining |
income tax table ,calculator
Calculators s Geometrical set,calculator |
KLB Mathematics
Book Three Pg 112-114 |
|
| 3 | 1 |
Circles: Chords and tangents
|
Chords
Parallel chords Equal 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 Find the length of equal chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 3 | 2 |
Circles: Chords and tangents
|
Intersecting chords
Intersecting chords Tangent to a circle |
By the end of the lesson, the learner should be able to:
Calculate the length of intersecting chords Construct a tangent to a circle |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 132-135 |
|
| 3 | 3 |
Circles: Chords and tangents
|
Tangent to a circle
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:
Calculate the length of tangent Calculate the angle between tangents State the properties of tangents to a circle from an external point Calculate the tangents of direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
| 3 | 4 |
Circles: Chords and tangents
|
Tangents to two circles
Contact of circles |
By the end of the lesson, the learner should be able to:
Calculate the tangents of transverse common tangents Calculate the radii of contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 150-151 |
|
| 3 | 5 |
Circles: Chords and tangents
|
Contact of circles
Problem solving Angle in alternate segment |
By the end of the lesson, the learner should be able to:
Calculate the radii of contact circles 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 153-154 |
|
| 3 | 6 |
Circles: Chords and tangents
|
Angle in alternate segment
Circumscribed circle Escribed circles |
By the end of the lesson, the learner should be able to:
Calculate the angles in alternate segments Construct circumscribed circles Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 160-161 |
|
| 3 | 7 |
Circles: Chords and tangents
Matrices |
Centroid
Orthocenter Matrix representation and order of matrix |
By the end of the lesson, the learner should be able to:
Construct centroid Construct orthocenter Represent matrix State the order of a matrix |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Chart showing tabular data |
KLB Mathematics
Book Three Pg 166 |
|
| 4 | 1 |
Matrices
|
Addition of matrix
Subtraction of matrices Combined addition and subtraction of matrices |
By the end of the lesson, the learner should be able to:
Add matrices Subtract matrices Perform the combined operation on matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 170 |
|
| 4 | 2 |
Matrices
|
Matrix multiplication
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 174-175 |
|
| 4 | 3 |
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 Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
Calculators |
KLB Mathematics
Book Three Pg 183 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
Matrices
Formulae and variations Formulae and variations |
Problem solving
Formulae Direct variation |
By the end of the lesson, the learner should be able to:
Calculate the inverse of a matrix Solve simultaneous equations by matrix method Make subject of the given formula Solve problems involving direct variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 190 |
|
| 4 | 6 |
Formulae and variations
|
Inverse variation
Partial variation Joint variation |
By the end of the lesson, the learner should be able to:
Solve problems involving inverse variations Solve problems involving partial variations Solve problems involving join variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 197-200 |
|
| 4 | 7 |
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 Find the next terms Find the nth term of a given arithmetic sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 206 |
|
| 5 | 1 |
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 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 |
|
| 5 | 2 |
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 Identify the coordinates of appoint in two dimensions Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 5 | 3 |
Vectors II
|
Column vectors
Position vector Unit vectors |
By the end of the lesson, the learner should be able to:
Find a displacement and represent it in column vector Calculate the position vector Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 |
|
| 5 | 4 |
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 Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 5 | 5 |
Vectors II
|
Parallel vectors
Collinear points Collinear points |
By the end of the lesson, the learner should be able to:
Identify parallel vectors Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 231-232 |
|
| 5 | 6 |
Vectors II
|
Proportion division of a line
Proportion division of a line 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 Divide a line externally in the given ratio Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 237-238 |
|
| 5 | 7 |
Vectors II
|
Ratio theorem
Ratio theorem Mid-point |
By the end of the lesson, the learner should be able to:
Express position vectors Find the position vector Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 6 | 1 |
Vectors II
|
Ratio theorem
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 Use vectors to show the diagonals of a parallelogram |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 244-245 |
|
| 6 | 2 |
Vectors II
Binomial expansion Binomial expansion |
Applications of vectors
Binomial Expansion up to power four Pascal |
By the end of the lesson, the learner should be able to:
Use vectors to show the diagonals of a rectangle Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg |
|
| 6 | 3 |
Binomial expansion
|
Pascal
Pascal Applications to numerical cases |
By the end of the lesson, the learner should be able to:
Use Pascal Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 6 | 4 |
Binomial expansion
Probability |
Applications to numerical cases
Experimental probability |
By the end of the lesson, the learner should be able to:
Use binomial expansion to solve numerical problems Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 6 | 5 |
Probability
|
Experimental probability
Range of probability measure Probability space |
By the end of the lesson, the learner should be able to:
Calculate the experimental probability Calculate the range of probability measure Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators, charts |
KLB Mathematics
Book Three Pg 262-264 |
|
| 6 | 6 |
Probability
|
Probability space
Combined events Combined events |
By the end of the lesson, the learner should be able to:
Calculate the probability space for the theoretical probability Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 268-270 |
|
| 6 | 7 |
Probability
|
Independent events
Independent events Independent events |
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 274-275 |
|
| 7 | 1 |
Probability
|
Tree diagrams
Tree diagrams Tree diagrams |
By the end of the lesson, the learner should be able to:
Draw tree diagrams to show the probability space Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 282 |
|
| 7 | 2 |
Compound proportions and rate of work
|
Compound proportions
Compound proportions Proportional parts |
By the end of the lesson, the learner should be able to:
Find the compound proportions Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 288-290 |
|
| 7 | 3 |
Compound proportions and rate of work
|
Rates of work
Rates 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 |
|
| 7 | 4 |
Graphical methods
|
Tables of given relations
Graphs of given relations |
By the end of the lesson, the learner should be able to:
Draw tables of given relations Draw graphs of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 299 |
|
| 7 | 5 |
Graphical methods
|
Graphical solution of cubic equations
Graphical solution of cubic equations Average rates of change |
By the end of the lesson, the learner should be able to:
Draw tables of cubic functions Draw graphs of cubic equations Calculate the average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
|
| 7 | 6 |
Graphical methods
|
Rate of change at an instant
Empirical graphs Reduction of non-linear laws to linear form |
By the end of the lesson, the learner should be able to:
Calculate the rate of change at an instant Draw the empirical graphs Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 7 | 7 |
Graphical methods
|
Reduction of non-linear laws to linear form
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 Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
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