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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening and revision of holiday assignment |
|||||||
| 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 | 3-4 |
Reflection and congruence
|
Congruence
Congruent triangles Congruent triangles The ambiguous case |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 KLB Mathematics Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 2 | 5 |
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 | 6 |
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 | 7 |
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 |
|
| 3 | 1 |
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 | 2 |
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 | 3-4 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus Apparatus Books Videos Charts |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 KLB Mathematics Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 3 | 5 |
Similarity and enlargement
|
Linear scale factor
|
By the end of the
lesson, the learner
should be able to:
Use the linear scale factor to find lengths |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100-101 Discovering secondary pg 56 |
|
| 3 | 6 |
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 |
|
| 3 | 7 |
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 | 1 |
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 | 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 |
|
| 4 | 3-4 |
Pythagoras theorem
|
Solutions of problems Using Pythagoras Theorem
Application to real life Situation Trigonometry Tangent, sine and cosines Trigonometric Table |
By the end of the
lesson, the learner
should be able to:
Solve problems using Pythagoras Theorem Define tangent, sine and cosine ratios from a right angles triangle |
Solving problems using Pythagoras theorem
Defining what a tangent, Cosine and sine are using a right angled triangle |
Charts illustrating Pythagoras theorem
Mathematical table Charts illustrating tangent, sine and cosine Mathematical table |
KLB BK2 Pg 121 Discovering secondary pg 67
KLB BK2 Pg 123,132,133 Discovering secondary pg 70 |
|
| 4 | 5 |
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 | 6 |
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
|
|
| 4 | 7 |
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 | 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
|
|
| 5 | 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
|
|
| 5 | 3-4 |
Area of a triangle
|
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 - Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Calculating the area of a triangle given the base and height
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle |
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
KLB BK2 Pg 156 |
|
| 5 | 5 |
Area of quadrilaterals and other polygons
|
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
|
|
| 5 | 6 |
Area of quadrilaterals and other polygons
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon |
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 |
KLB BK2 Pg 164
|
|
| 5 | 7 |
Area part of a circle
|
Area of part of a circle Area of a sector (minor sector and a major sector)
Defining a segment of a circle Finding the area of a segment of a circle |
By the end of the
lesson, the learner
should be able to:
- Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle |
Finding the area of a minor and a major sector of a circle
|
Charts illustrating sectors
Chart illustrating a Segment |
KLB BK 2 Pg 167
|
|
| 6 | 1 |
Area part 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:
Find the area of common region between two circles given the angles ? Education Plus Agencies |
Calculating the area of 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 BK 2 Pg 175
|
|
| 6 | 2 |
Surface area of solids
|
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 | 3-4 |
Surface area of solids
|
Surface area of a Rectangular based Pyramid
Surface area of a cone using the formula A = ?r2 + ?rl 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 rectangular based pyramid Find the surface area of a frustrum of a cone and pyramid |
Finding the surface area of a rectangular based pyramid
Finding the surface area of a frustrum of a cone and a pyramid |
Models of a Rectangular based pyramid
Models of a cone 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 179-180
KLB BK 2 Pg 182 |
|
| 6 | 5 |
Surface area of solids
|
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
|
|
| 6 | 6 |
Volume of solids
|
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based) |
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
Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 187
|
|
| 6 | 7 |
Volume of solids
|
Volume of a cone
Volume of a frustrum of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a cone |
Finding the volume of a cone
|
Model of a cone
Models of a frustrum of a cone |
KLB BK 2 Pg 191
|
|
| 7 |
Mid term exams |
|||||||
| 8 | 1 |
Volume of solids
|
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3) |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a Pyramid |
Finding volume of a full pyramid Finding volume of cutoff pyramid Find volume of the remaining fig (frustrum) by subtracting i.e. Vf = (V ? v)
|
Models of frustrum of a pyramid
Model of a sphere Mathematical table |
KLB BK 2 Pg 194
|
|
| 8 | 2 |
Volume of solids
|
Volume of a Hemisphere {(v = ? (4/3?r3)}
|
By the end of the
lesson, the learner
should be able to:
Find the volume of a hemisphere |
Working out the volume of a hemisphere
|
Models of hemisphere
|
Macmillan BK 2 Pg 173
|
|
| 8 | 3-4 |
Volume of solids
|
Application of area of triangles to real life
Tangent of an angle Tangent of an angle Using tangents in calculations |
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 find the tangent of an angle from tables |
Solving problems in real life using the knowledge of the area of triangle
Measuring lengths/angles Dividing numbers Drawing right angles Reading mathematical tables |
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
KLB Maths Bk2 Pg. 119-122 |
|
| 8 | 5 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle |
By the end of the
lesson, the learner
should be able to:
work out further problems using tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 8 | 6 |
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
|
|
| 8 | 7 |
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
|
|
| 9 |
Half term |
|||||||
| 10 | 1 |
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 | 2 |
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
|
|
| 10 | 3-4 |
Trigonometric Ratios
Area of A Triangle |
Problem solving
Area = Solve problems involving = A =?s(s-a) (s-b) (s-c) |
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry solve problems involving area of triangles using the formula Area = |
Problem solving
Discussions Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
KLB Maths Bk2 Pg. 155-157 |
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite |
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 |
KLB Maths Bk2 Pg. 161
|
|
| 10 | 7 |
Area of Quadrilaterals
|
Area of regular polygons
|
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon by using the formula A= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 1 |
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 | 2 |
Area of Part of a Circle
|
Area of a segment
Common region between two circles |
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 |
KLB Maths Bk2 Pg. 167-169
|
|
| 11 | 3-4 |
Area of Part of a Circle
Surface Area of Solids |
Common region between two circles
Problem solving Surface area of prisms Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles and solve problems related to that find the surface area of a prism. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions Drawing prisms Measuring lengths Opening prisms to form nets Discussions Calculating area |
Circles
Chart illustrating the area of a minor segment 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
KLB Maths Bk2 Pg. 177 |
|
| 11 | 5 |
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 |
|
| 11 | 6 |
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
|
|
| 11 | 7 |
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 | 1 |
Volume of Solids
|
Volume of prism
Volume of pyramid |
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 |
KLB Maths Bk2 Pg. 186-188
|
|
| 12 | 2 |
Volume of Solids
|
Volume of a cone
Volume of a sphere |
By the end of the
lesson, the learner
should be able to:
find the volume of a cone |
Making cones/frustums
Opening cones/frustums to form nets |
Cone
Sphere |
KLB Maths Bk2 Pg. 191
|
|
| 12 | 3-4 |
Volume of Solids
|
Volume of frustrum
Volume of frustrum with a square base Volume of frustrum with a rectangular base Application to real life situation |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a circular base find the volume of a frustrum with a rectangular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 12 | 5 |
Volume of Solids
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Past paper questions
|
KLB Maths Bk2 Pg. 196
|
|
| 13 |
End term exams |
|||||||
| 14 |
Marking and closing school |
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