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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
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 |
|
| 2-3 |
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 |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 KLB Mathematics Book Three Pg 129-131 |
||
| 4 |
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 132-135 |
||
| 5 |
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 |
||
| 6 |
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 |
Circles: Chords and tangents
|
Tangent to a circle
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
||
| 3 | 1 |
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 |
|
| 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 KLB Mathematics Book Three Pg 151-153 |
||
| 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 153-154 |
||
| 5 |
Circles: Chords and tangents
|
Problem solving
|
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 |
||
| 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 157-160 |
||
| 7 |
Circles: Chords and tangents
|
Circumscribed circle
|
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 |
||
| 4 | 1 |
Circles: Chords and tangents
|
Escribed circles
|
By the end of the
lesson, the learner
should be able to:
Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165-166 |
|
| 2-3 |
Circles: Chords and tangents
|
Centroid
Orthocenter |
By the end of the
lesson, the learner
should be able to:
Construct centroid Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 166 KLB Mathematics Book Three Pg 167 |
||
| 4 |
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 |
||
| 5 |
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 |
||
| 6 |
Matrices
|
Combined addition and subtraction of matrices
|
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 |
||
| 7 |
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 174-175 |
||
| 5 | 1 |
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 |
|
| 2-3 |
Matrices
|
Identity matrix
Determinant of a 2 Inverse of a 2 |
By the end of the
lesson, the learner
should be able to:
Find the identity matrix Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 182-183 KLB Mathematics Book Three Pg 183-185 |
||
| 4 |
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 |
||
| 5 |
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 |
||
| 6 |
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 |
||
| 7 |
Matrices
Formulae and variations |
Problem solving
Formulae |
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 |
||
| 6 | 1 |
Formulae and variations
|
Direct variation
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving direct variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 194-196 |
|
| 2-3 |
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 KLB Mathematics Book Three Pg 201-203 |
||
| 4 |
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 |
||
| 5 |
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 |
||
| 6 |
Sequences and series
|
Arithmetic sequences
|
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 |
||
| 7 |
Sequences and series
|
Geometric sequence
|
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 |
||
| 7 | 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 |
|
| 2-3 |
Sequences and series
Sequences and series Vectors II |
Geometric series
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 |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions |
KLB Mathematics
Book Three Pg 216-219 |
||
| 4 |
Vectors II
|
Coordinates in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
||
| 5 |
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 |
||
| 6 |
Vectors II
|
Position vector
|
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 |
||
| 7 |
Vectors II
|
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 |
||
| 8 |
Mid term |
|||||||
| 9 | 1 |
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 |
|
| 2-3 |
Vectors II
|
Parallel vectors
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 KLB Mathematics Book Three Pg 232 |
||
| 4 |
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 |
||
| 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 |
||
| 6 |
Vectors II
|
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
||
| 7 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
||
| 10 | 1 |
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 |
|
| 2-3 |
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 KLB Mathematics Book Three Pg 244-245 |
||
| 4 |
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 |
||
| 5 |
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 |
||
| 6 |
Binomial expansion
|
Binomial Expansion up to power four
|
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256 |
||
| 7 |
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 | 1 |
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 258-259 |
|
| 2-3 |
Binomial expansion
|
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 KLB Mathematics Book Three Pg 259-260 |
||
| 4 |
Graphical methods
|
Tables of given relations
|
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 |
||
| 5 |
Graphical methods
|
Graphs of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 300 |
||
| 6 |
Graphical methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
||
| 7 |
Graphical methods
|
Graphical solution of cubic equations
Average rates of change |
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 | 1 |
Graphical methods
|
Rate of change at an instant
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 2-3 |
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 Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 315-316 KLB Mathematics Book Three Pg 318-321 |
||
| 4 |
Graphical methods
|
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 |
||
| 5 |
Graphical methods
|
Reduction of non-linear laws to linear form
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 bookss
Geoboard & graph books |
KLB Mathematics
Book Three Pg 318-321 |
||
| 6 |
Graphical methods
|
Equation of a circle
|
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 327-328 |
||
| 7 |
Graphical methods
|
Equation of a circle
|
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 327-328 |
||
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