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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and revision of previous exam |
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| 2 | 1 |
Gradient and equations of straight lines
|
Gradient
|
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
| 2 | 2 |
Gradient and equations of straight lines
|
Gradient
Equation of a line |
By the end of the
lesson, the learner
should be able to:
State the type of gradient |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 30-32 discovering secondary pg 23 |
|
| 2 | 3 |
Gradient and equations of straight lines
|
Linear equation y=mx+c
The y-intercept |
By the end of the
lesson, the learner
should be able to:
Find linear equations in the form y=mx+c |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 2 | 4 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines Parallel lines |
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 2 | 5 |
Reflection and congruence
|
Symmetry
Reflection |
By the end of the
lesson, the learner
should be able to:
Find the lines of symmetry of shapes |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 |
|
| 2 | 6 |
Reflection and congruence
|
Some general deductions using reflection
Congruence |
By the end of the
lesson, the learner
should be able to:
Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 3 | 1 |
Reflection and congruence
|
Congruent triangles
|
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 3 | 2 |
Reflection and congruence
Rotation |
The ambiguous case
Introduction |
By the end of the
lesson, the learner
should be able to:
Determine the two angles that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 67 Discovering secondary pg 41 |
|
| 3 | 3 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 |
|
| 3 |
Opening exam |
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| 4 | 1 |
Rotation
|
Rotation in the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 4 | 2 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids Rotation and congruence |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 4 | 3 |
Similarity and enlargement
|
Similar figures
|
By the end of the
lesson, the learner
should be able to:
Calculate lengths of objects |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
| 4 | 4 |
Similarity and enlargement
|
Enlargement
Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Enlarge an object |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 4 | 5 |
Similarity and enlargement
|
Linear scale factor
Negative scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 4 | 6 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area scale factor |
By the end of the
lesson, the learner
should be able to:
Solve problems on linear scale factor |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 5 | 1 |
Similarity and enlargement
|
Area of scale factor
Volume scale factor Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Use area scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 108 Discovering secondary pg 64 |
|
| 5 | 2 |
Similarity and enlargement
Trigonometry |
Area and volume scale factor
Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Solve problems on area and volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 5 | 3 |
Trigonometry
|
Solutions of problems Using Pythagoras Theorem
Application to real life Situation |
By the end of the
lesson, the learner
should be able to:
Solve problems using Pythagoras Theorem |
Solving problems using Pythagoras theorem
|
Charts illustrating Pythagoras theorem
Mathematical table |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 5 | 4 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Define tangent, sine and cosine ratios from a right angles triangle |
Defining what a tangent, Cosine and sine are using a right angled triangle
|
Charts illustrating tangent, sine and cosine
Mathematical table Mathematical table Charts Chalkboard |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 5 | 5 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles |
Using established relationship to solve problems
|
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 145
|
|
| 5 | 6 |
Trigonometry
|
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90 Application of Trigonometric ratios in solving problems |
By the end of the
lesson, the learner
should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent |
Relating the three trigonometric ratios
|
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle Chalkboard |
KLB BK2 Pg 145
|
|
| 6 | 1 |
Trigonometry
|
Logarithms of Sines
Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines |
Solving problems by reading logarithm table of sines
|
Chalkboard Mathematical tables
Chalkboard Mathematical table |
KLB BK2 Pg 149
|
|
| 6 | 2 |
Trigonometry
|
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines, cosines and tangents from tables |
Solving problems through reading the table of logarithm of sines, cosines and tangents
|
Chalkboard Mathematical table
Mathematical table |
KLB BK2 Pg 149-152
|
|
| 6 | 3 |
Trigonometry
|
Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?) Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c) |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle given the base and height |
Calculating the area of a triangle given the base and height
|
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table |
KLB BK2 Pg 155
|
|
| 6 | 4 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
|
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite |
KLB BK2 Pg 161-163
|
|
| 6 | 5 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of a regular polygon |
Calculating the area of a regular polygon
|
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors |
KLB BK2 Pg 164
|
|
| 6 | 6 |
Trigonometry
|
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii |
By the end of the
lesson, the learner
should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle |
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
|
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK2 Pg 169-170
|
|
| 7 |
Midterm exam |
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| 8 |
Midterm break |
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| 9 | 1 |
Trigonometry
|
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism |
By the end of the
lesson, the learner
should be able to:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles |
Finding the area of a common region between two intersecting
|
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 176
|
|
| 9 | 2 |
Trigonometry
|
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid Surface area of a cone using the formula A = ?r2 + ?rl |
By the end of the
lesson, the learner
should be able to:
Find the total surface area of a square based pyramid |
Finding the surface area of a square based pyramid
|
Models of a square based pyramid
Models of a Rectangular based pyramid Models of a cone |
KLB BK 2 Pg 178
|
|
| 9 | 3 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a frustrum of a cone and pyramid |
Finding the surface area of a frustrum of a cone and a pyramid
|
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere |
KLB BK 2 Pg 182
|
|
| 9 | 4 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) Volume of prism (hexagonal based prism) given the sides and angle |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a hemisphere |
Finding the surface area of a hemisphere
|
Models of a hemisphere
Models of a triangular based prism Models of hexagonal based prism |
KLB BK 2 Pg 184
|
|
| 9 | 5 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a square based pyramid and rectangular based pyramid |
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
|
Models of square and Rectangular based Pyramids
Model of a cone |
KLB BK 2 Pg 189-190
|
|
| 9 | 6 |
Trigonometry
|
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a cone |
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
|
Models of a frustrum of a cone
Models of frustrum of a pyramid |
KLB BK 2 Pg 192
|
|
| 10 | 1 |
Trigonometry
|
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)} Application of area of triangles to real life |
By the end of the
lesson, the learner
should be able to:
Find the volume of sphere given the radius of the sphere |
Finding the volume of a Sphere
|
Model of a sphere Mathematical table
Models of hemisphere Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 195
|
|
| 10 | 2 |
Trigonometric Ratios
|
Tangent of an angle
|
By the end of the
lesson, the learner
should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 10 | 3 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents The sine of an angle |
By the end of the
lesson, the learner
should be able to:
calculate the size of an angle given two sides and an angle from tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 10 | 4 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the cosine of an angle by calculations and through tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 10 | 5 |
Trigonometric Ratios
|
Complementary angles
Special angles |
By the end of the
lesson, the learner
should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 10 | 6 |
Trigonometric Ratios
|
Application of Special angles
Logarithms of sines, cosines and tangents Relationship between sin, cos and tan |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of special angles to solve problems |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 1 |
Trigonometric Ratios
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 2 |
Area of A Triangle
|
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 11 | 3 |
Area of A Triangle
Area of Quadrilaterals |
Problem solving
Area of parallelogram |
By the end of the
lesson, the learner
should be able to:
solve problems on area of a triangle given the three sides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 11 | 4 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 161
|
|
| 11 | 5 |
Area of Quadrilaterals
Area of Part of a Circle |
Problem solving
Area of a sector |
By the end of the
lesson, the learner
should be able to:
solve problems on area of quadrilaterals and other polygons |
Learners solve problems
|
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Circles Chart illustrating the area of a sector |
KLB Maths Bk2 Pg. 165-166
|
|
| 11 | 6 |
Area of Part of a Circle
|
Area of a segment
Common region between two circles Common region between two circles Problem solving |
By the end of the
lesson, the learner
should be able to:
find area of a segment |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 13 |
End term exam |
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| 14 |
Marking and closing of school |
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