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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING AND REVISION OF END OF TERM I EXAMS |
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| 2 | 1 |
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 | 2 |
Reflection and congruence
|
Some general deductions using reflection
|
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 |
|
| 2 | 3 |
Reflection and congruence
|
Congruence
Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 |
|
| 2 | 4 |
Reflection and congruence
|
Congruent triangles
|
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
Rotation
|
Centre of rotation
Angle of rotation |
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 | 1 |
Rotation
|
Rotation in the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 |
|
| 3 | 2 |
Rotation
|
Rotation in the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Rotate objects about the +180 |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 3 | 3 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids |
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 |
|
| 3 | 4 |
Rotation
Similarity and enlargement |
Rotation and congruence
Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 3 | 5 |
Similarity and enlargement
|
Similar figures
Enlargement |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 3 | 6 |
Similarity and enlargement
|
Enlarge objects
|
By the end of the
lesson, the learner
should be able to:
Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 4 | 1 |
Similarity and enlargement
|
Linear 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 | 2 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor |
By the end of the
lesson, the learner
should be able to:
Find the negative scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 4 | 3 |
Similarity and enlargement
|
Area scale factor
Area of scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 106-107 Discovering secondary pg 62 |
|
| 4 | 4 |
Similarity and enlargement
|
Volume scale factor
|
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 |
|
| 4 | 5 |
Similarity and enlargement
|
Area and volume scale factor
|
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 |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 4 | 6 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem |
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 |
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 5 | 1 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines |
By the end of the
lesson, the learner
should be able to:
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life |
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
|
Mathematical table
Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 5 | 2 |
Trigonometry
|
Trigonometric Table
Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Use trigonometric tables to find the sine, cosine and tangent |
Reading trigonometric tables of sines, cosines and tangent
|
Mathematical table
Mathematical table Charts Chalkboard |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 5 | 3 |
Trigonometry
|
Establishing Relationship of sine and cosine 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
|
KLB BK2 Pg 145
|
|
| 5 | 4 |
Trigonometry
|
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine |
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 |
KLB BK2 Pg 145
|
|
| 5 | 5 |
Trigonometry
|
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:
Determine the trigonometric ratios of special angles without using tables |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
|
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard |
KLB BK2 Pg 146-147
|
|
| 5 | 6 |
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 | 1 |
Trigonometry
|
Reading tables of logarithms of sines, cosines and tangents
|
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
|
KLB BK2 Pg 149-152
|
|
| 6 | 2 |
Trigonometry
|
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh) |
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 |
KLB BK2 Pg 153-154
|
|
| 6 | 3 |
Trigonometry
|
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:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
|
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 156
|
|
| 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
|
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
|
KLB BK2 Pg 164
|
|
| 6 | 6 |
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
|
|
| 7 | 1 |
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 | 2 |
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
|
|
| 7 | 3 |
Trigonometry
|
Area of a square based Pyramid
|
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
|
KLB BK 2 Pg 178
|
|
| 7 | 4 |
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 | 5 |
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
|
|
| 7 | 6 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) |
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 |
KLB BK 2 Pg 184
|
|
| 8 |
MID TERM EXAMINATIONS |
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| 9 |
HALF TERM BREAK |
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| 10 | 1 |
Trigonometry
|
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 hexagonal based prism |
Calculating the volume of an hexagonal prism
|
Models of hexagonal based prism
|
KLB BK 2 Pg 187
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
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 | 4 |
Trigonometry
|
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)} |
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 |
KLB BK 2 Pg 195
|
|
| 10 | 5 |
Trigonometry
Trigonometric Ratios |
Application of area of triangles to real life
Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation |
Solving problems in real life using the knowledge of the area of triangle
|
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
|
|
| 10 | 6 |
Trigonometric Ratios
|
Tangent of an angle
|
By the end of the
lesson, the learner
should be able to:
find the tangent of 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
|
|
| 11 | 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
|
|
| 11 | 2 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle |
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
|
|
| 11 | 3 |
Trigonometric Ratios
|
Application of sine and cosine
Complementary angles |
By the end of the
lesson, the learner
should be able to:
apply sines to work out lengths and angles. Apply cosine to work out length and angles |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 4 |
Trigonometric Ratios
|
Special angles
|
By the end of the
lesson, the learner
should be able to:
find the sine, cos, and tan of 300,600,450,00,900, without using tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 5 |
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
|
|
| 11 | 6 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation |
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
|
|
| 12 | 1 |
Trigonometric Ratios
Area of A Triangle |
Problem solving
Area = |
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry |
Problem solving
|
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 2 |
Area of A Triangle
|
Solve problems involving =
|
By the end of the
lesson, the learner
should be able to:
solve problems involving area of triangles using the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 12 | 3 |
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
|
|
| 12 | 4 |
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
|
|
| 12 | 5 |
Area of Quadrilaterals
|
Area of trapezium and kite
Area of regular polygons |
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
|
|
| 12 | 6 |
Area of Quadrilaterals
|
Problem solving
|
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 |
KLB Maths Bk2 Pg. 165-166
|
|
| 13-14 |
END TERM EXAMINATIONS AND CLOSING |
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