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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
REPORTING |
|||||||
| 1 | 3 |
Reflection and congruence
|
Symmetry
|
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 |
|
| 1 | 4 |
Reflection and congruence
|
Reflection
Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Draw an image under reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 1 |
LABOUR DAY |
|||||||
| 1 | 6 |
Reflection and congruence
|
Some general deductions using reflection
Congruence |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 2 | 1 |
Reflection and congruence
|
Congruent triangles
The ambiguous case |
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 |
|
| 2 | 2 |
Rotation
|
Introduction
Centre of rotation |
By the end of the
lesson, the learner
should be able to:
Draw an image of an object under rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 2 | 3 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the angle of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 |
|
| 2 | 4 |
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 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
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 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
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 |
|
| 3 | 3 |
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 |
|
| 3 | 4 |
Similarity and enlargement
|
Area of 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 |
|
| 3 | 5 |
Similarity and enlargement
|
Volume scale factor
Area and volume scale factor |
By the end of the
lesson, the learner
should be able to:
Use volume scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 3 | 6 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem Application to real life Situation |
By the end of the
lesson, the learner
should be able to:
Derive Pythagoras Theorem |
Deriving Pythagoras Theorem
|
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem Mathematical table |
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 4 | 1 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table |
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 |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 4 | 2 |
Trigonometry
|
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles |
By the end of the
lesson, the learner
should be able to:
Use the sine, cosine and tangent in calculating the length of a right angled triangle and also finding the angle given two sides and unknown angle The length can be obtained if one side is given and an angle |
Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent
|
Mathematical table Charts Chalkboard
Chalkboards |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 4 | 3 |
Trigonometry
|
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine Trigonometric ratios of special angles 30, 45, 60 and 90 |
By the end of the
lesson, the learner
should be able to:
Use the relationship of sine and cosine of complimentary angles in solving problems |
Solving problems involving the sines and cosines of complimentary angles
|
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 4 | 4 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables |
Solving trigonometric problems of special angles
|
Chalkboard
Chalkboard Mathematical tables |
KLB BK2 Pg 148
|
|
| 4 | 5 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
Read the logarithm of cosines and tangents from mathematical tables |
Reading logarithms of cosine and tangent from mathematical table
|
Chalkboard Mathematical table
|
KLB BK2 Pg 150-152
|
|
| 4 | 6 |
Trigonometry
|
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh) Area of a triangle using the formula (A = ? absin?) |
By the end of the
lesson, the learner
should be able to:
Solve problems in real life using trigonometry |
Solving problems using trigonometry in real life
|
Mathematical table
Chart illustrating worked problem Chalkboard Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 153-154
|
|
| 5 |
C.A.T ONE |
|||||||
| 6 | 1 |
Trigonometry
|
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium |
By the end of the
lesson, the learner
should be able to:
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) |
Solving problems on the area of triangle given three sides of a triangle
|
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
Charts illustrating formula used in calculating the areas of the quadrilateral |
KLB BK2 Pg 157-158
|
|
| 6 | 2 |
Trigonometry
|
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon |
By the end of the
lesson, the learner
should be able to:
Find the area of a kite |
Calculating the area of a Kite
|
Model of a kite
Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 163
|
|
| 6 | 3 |
Trigonometry
|
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 irregular polygons |
Finding the area of irregular polygons
|
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors |
KLB BK2 Pg 166
|
|
| 6 | 4 |
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 Area of a common region between two circles given only the radii of the two circles and a common chord |
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 Charts illustrating common region between two intersecting circles |
KLB BK2 Pg 169-170
|
|
| 6 | 5 |
Trigonometry
|
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid |
By the end of the
lesson, the learner
should be able to:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Defining a prism Calculating the surface area of the prisms
|
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid |
KLB BK 2 Pg 177
|
|
| 6 | 6 |
Trigonometry
|
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 surface area of a rectangular based pyramid |
Finding the surface area of a rectangular based pyramid
|
Models of a Rectangular based pyramid
Models of a cone |
KLB BK 2 Pg 179-180
|
|
| 7 | 1 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere Surface area of a Hemispheres |
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 Models of a hemisphere |
KLB BK 2 Pg 182
|
|
| 7 | 2 |
Trigonometry
|
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 volume of a triangular based prism |
Finding the volume of a triangular based prism
|
Models of a triangular based prism
Models of hexagonal based prism |
KLB BK 2 Pg 186
|
|
| 7 | 3 |
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
|
|
| 7 | 4 |
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
|
|
| 7 | 5 |
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
|
|
| 7 | 6 |
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
|
|
| 8 |
C.A.T TWO |
|||||||
| 9 |
MIDTERM BREAK |
|||||||
| 10 | 1 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents |
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 | 2 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the sine 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 | 3 |
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 | 4 |
Trigonometric Ratios
|
Application of Special angles
Logarithms of sines, cosines and tangents |
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
|
|
| 10 | 5 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation Problem solving |
By the end of the
lesson, the learner
should be able to:
relate sin, cos and tan that is tan?=sin? cos? Solve problems using the relationship |
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 |
Area of A Triangle
|
Area =
Solve problems involving = |
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 | 1 |
Area of A Triangle
|
A =?s(s-a) (s-b) (s-c)
Problem solving |
By the end of the
lesson, the learner
should be able to:
find the area of a triangle given the three sides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 11 | 2 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus |
By the end of the
lesson, the learner
should be able to:
find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 160
|
|
| 11 | 3 |
Area of Quadrilaterals
|
Area of trapezium and kite
Area of regular polygons Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems on 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. 162-163
|
|
| 11 | 4 |
Area of Part of a Circle
|
Area of a sector
Area of a segment |
By the end of the
lesson, the learner
should be able to:
find area of a sector |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 11 | 5 |
Area of Part of a Circle
|
Common region between two circles
Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 11 | 6 |
Area of Part of a Circle
Surface Area of Solids Surface Area of Solids |
Problem solving
Surface area of prisms Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
solve problems involving the area of part of a circle |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations Pyramids with square base, rectangular base, triangular base |
KLB Maths Bk2 Pg. 167-169
|
|
| 12 | 1 |
Surface Area of Solids
|
Surface area of a cone
Surface area of frustrum with circular base |
By the end of the
lesson, the learner
should be able to:
find the surface area of a cone |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Cone
Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 12 | 2 |
Surface Area of Solids
|
Surface area of frustrum with square base
Surface area of frustrum with rectangular base |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with square base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base |
KLB Maths Bk2 Pg. 181-183
|
|
| 12 | 3 |
Surface Area of Solids
|
Surface area of spheres
Problem solving |
By the end of the
lesson, the learner
should be able to:
find the surface area of a sphere |
Sketching spheres
Making spheres Measuring diameters/ radii of spheres Discussions |
Chalkboard illustrations
Past paper questions |
KLB Maths Bk2 Pg. 183
|
|
| 12 | 4 |
Volume of Solids
|
Volume of prism
Volume of pyramid Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a prism |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms |
Prism
Pyramid Cone |
KLB Maths Bk2 Pg. 186-188
|
|
| 12 | 5 |
Volume of Solids
|
Volume of a sphere
Volume of frustrum |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions |
Sphere
Frustrum with circular base |
KLB Maths Bk2 Pg. 195
|
|
| 12 | 6 |
Volume of Solids
|
Volume of frustrum with a square base
Volume of frustrum with a rectangular base Application to real life situation Problem solving |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base Models of pyramids, prism, cones and spheres Past paper questions |
KLB Maths Bk2 Pg. 192-193
|
|
| 13 |
END OF TERM EXAM |
|||||||
| 14 |
MARKING AND CLOSURE |
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