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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 2 |
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 |
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 |
|
| 2 | 4 |
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 | 5 |
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 | 6 |
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 | 7 |
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 | 1 |
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 | 2 |
Circles: Chords and tangents
|
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 160-161 |
|
| 3 | 3 |
Circles: Chords and tangents
|
Escribed circles
Centroid Orthocenter |
By the end of the lesson, the learner should be able to:
Construct escribed circles Construct centroid Construct orthocenter |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165-166 |
|
| 3 | 4 |
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 Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 3 | 5 |
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 Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 |
|
| 3 | 6 |
Vectors II
|
Unit vectors
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 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
Vectors II
|
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 233-234 |
|
| 4 | 2 |
Vectors II
|
Proportion division of a line
Proportion division of a line Ratio theorem |
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 Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
|
| 4 | 3 |
Vectors II
|
Ratio theorem
Mid-point |
By the end of the lesson, the learner should be able to:
Find the position vector Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 4 | 4 |
Vectors II
|
Ratio theorem
Ratio theorem |
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 244-245 |
|
| 4 | 5 |
Vectors II
Binomial expansion |
Applications of vectors
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 Use vectors to show the diagonals of a rectangle Expand binomial function up to power four |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg 248-249 |
|
| 4 | 6 |
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 256-257 |
|
| 4 | 7 |
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 Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 258-259 |
|
| 5 | 1 |
Compound proportions and rate of work
|
Compound proportions
Compound proportions |
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 288-290 |
|
| 5 | 2 |
Compound proportions and rate of work
|
Proportional parts
Rates of work |
By the end of the lesson, the learner should be able to:
Calculate the proportional parts Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 5 | 3 |
Compound proportions and rate of work
Probability |
Rates of work
Rates of work Experimental probability |
By the end of the lesson, the learner should be able to:
Calculate the rate of work Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 295-296 |
|
| 5 | 4 |
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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
Probability
|
Combined events
Combined events Independent events |
By the end of the lesson, the learner should be able to:
Find the probability of a combined events Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 272-273 |
|
| 5 | 7 |
Probability
|
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 276-277 |
|
| 6 | 1 |
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 | 2 |
Probability
Graphical methods Graphical methods |
Tree diagrams
Tables of given relations Graphs of given relations |
By the end of the lesson, the learner should be able to:
Use tree diagrams to find probability Draw tables of given relations Draw graphs of given relations |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Geoboard & graph books |
KLB Mathematics
Book Three Pg 283-285 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
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 |
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