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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING AND REVISION OF SERIES 4 EXAMINATION |
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| 1 | 5 |
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 |
|
| 1 | 6 |
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 Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 |
|
| 1 | 7 |
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 Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 131-132 |
|
| 2 | 1 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle 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 Calculate the length of tangent Calculate the angle between tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 135-139 |
|
| 2 | 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 Calculate the tangents of direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 142-144 |
|
| 2 | 3 |
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 |
|
| 2 | 4 |
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 Solve problems involving chords, tangents and contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 153-154 |
|
| 2 | 5 |
Circles: Chords and tangents
|
Angle in alternate segment
Angle in alternate segment Circumscribed circle |
By the end of the lesson, the learner should be able to:
Calculate the angles in alternate segments Construct circumscribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 157-160 |
|
| 2 | 6 |
Circles: Chords and tangents
|
Escribed circles
Centroid |
By the end of the lesson, the learner should be able to:
Construct escribed circles Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165-166 |
|
| 2 | 7 |
Circles: Chords and tangents
Matrices |
Orthocenter
Matrix representation and order of matrix |
By the end of the lesson, the learner should be able to:
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 167 |
|
| 3 | 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 |
|
| 3 | 2 |
Matrices
|
Matrix multiplication
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 174-175 |
|
| 3 | 3 |
Matrices
|
Identity matrix
Determinant of a 2 |
By the end of the lesson, the learner should be able to:
Find the identity matrix Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 182-183 |
|
| 3 | 4 |
Matrices
|
Inverse of a 2
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 |
|
| 3 | 5 |
Matrices
|
Solutions of simultaneous equations by matrix method
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 Calculate the inverse of a matrix |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 3 | 6 |
Formulae and variations
|
Formulae
Direct variation |
By the end of the lesson, the learner should be able to:
Make subject of the given formula Solve problems involving direct variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 191-193 |
|
| 3 | 7 |
Formulae and variations
|
Inverse variation
Partial variation |
By the end of the lesson, the learner should be able to:
Solve problems involving inverse variations Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 197-200 |
|
| 4 | 1 |
Formulae and variations
Sequences and series |
Joint variation
Joint variation Sequences |
By the end of the lesson, the learner should be able to:
Solve problems involving join variations Find the next terms |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 204-205 |
|
| 4 | 2 |
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 Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 209-210 |
|
| 4 | 3 |
Sequences and series
|
Arithmetic series
Geometric series |
By the end of the lesson, the learner should be able to:
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 214-215 |
|
| 4 | 4 |
Sequences and series
Vectors II |
Geometric series
Coordinates in two 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 |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 4 | 5 |
Vectors II
|
Coordinates in three dimensions
Column vectors Position vector |
By the end of the lesson, the learner should be able to:
Identify the coordinates of appoint in three dimensions Find a displacement and represent it in column vector Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
|
| 4 | 6 |
Vectors II
|
Unit vectors
Unit vectors |
By the end of the lesson, the learner should be able to:
Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 4 | 7 |
Vectors II
|
Magnitude of a vector in three dimensions
Parallel vectors |
By the end of the lesson, the learner should be able to:
Calculate the magnitude of a vector in three dimensions Identify parallel vectors |
Discussions
Solving Demonstrating Explaining |
calculators
Geoboard |
KLB Mathematics
Book Three Pg 229-230 |
|
| 5 | 1 |
Vectors II
|
Collinear points
Collinear points Proportion division of a line |
By the end of the lesson, the learner should be able to:
Show that points are collinear Divide a line internally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 232 |
|
| 5 | 2 |
Vectors II
|
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 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 238 |
|
| 5 | 3 |
Vectors II
|
Ratio theorem
Ratio theorem |
By the end of the lesson, the learner should be able to:
Express position vectors Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 5 | 4 |
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 Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 243 |
|
| 5 | 5 |
Vectors II
|
Ratio theorem
Applications of vectors 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 Use vectors to show the diagonals of a rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 246-248 |
|
| 5 | 6 |
Binomial expansion
|
Binomial Expansion up to power four
Pascal |
By the end of the lesson, the learner should be able to:
Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256 |
|
| 5 | 7 |
Binomial expansion
|
Pascal
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 258-259 |
|
| 6 | 1 |
Binomial expansion
Probability |
Applications to numerical cases
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
Calculators |
KLB Mathematics
Book Three Pg 259-260 |
|
| 6 | 2 |
Probability
|
Experimental probability
Range of probability measure |
By the end of the lesson, the learner should be able to:
Calculate the experimental probability Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 6 | 3 |
Probability
|
Probability space
Probability space |
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 |
|
| 6 | 4 |
Probability
|
Combined events
Combined 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 272-273 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
Probability
|
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 |
|
| 6 | 7 |
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 Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Calculators |
KLB Mathematics
Book Three Pg 283-285 |
|
| 7 | 1 |
Compound proportions and rate of work
|
Compound proportions
Proportional parts Rates of work |
By the end of the lesson, the learner should be able to:
Find the compound proportions Calculate the proportional parts Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 7 | 2 |
Compound proportions and rate 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 295-296 |
|
| 7 | 3 |
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 | 4 |
Graphical methods
|
Graphical solution of cubic equations
Graphical solution of cubic equations |
By the end of the lesson, the learner should be able to:
Draw tables of cubic functions Draw graphs of cubic equations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
|
| 7 | 5 |
Graphical methods
|
Average rates of change
Rate of change at an instant Empirical graphs |
By the end of the lesson, the learner should be able to:
Calculate the average rates of change Calculate the rate of change at an instant Draw the empirical graphs |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 304-306 |
|
| 7 | 6 |
Graphical methods
|
Reduction of non-linear laws to linear form
Reduction of non-linear laws to linear form |
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
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 7 | 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 Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph bookss
Geoboard & graph books |
KLB Mathematics
Book Three Pg 318-321 |
|
| 8-9 |
END OF YEAR EXAMINATION AND CLOSING |
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