If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Revision |
|||||||
| 2 | 1 |
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 |
|
| 2 | 2 |
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 |
|
| 2 | 3 |
Reflection and congruence
|
Some general deductions using reflection
Congruence Congruent triangles |
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 | 4 |
Reflection and congruence
|
Congruent triangles
The ambiguous case |
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 |
Rotation
|
Introduction
Centre of rotation Angle 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
|
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 |
Cat |
|||||||
| 4 | 1 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures Rotational symmetry of solids |
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 Apparatus |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 4 | 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 |
|
| 4 | 3 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects |
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 |
|
| 4 | 4 |
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 | 5 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor Area 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 | 6 |
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 |
|
| 5 | 1 |
Similarity and enlargement
Trigonometry |
Volume scale factor
Area and volume scale factor Pythagoras Theorem |
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 Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 5 | 2 |
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 | 3 |
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 | 4 |
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 | 5 |
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
|
|
| 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
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:
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 Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 149-152
|
|
| 6 | 2 |
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 | 3 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
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:
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 Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 161-163
|
|
| 6 | 4 |
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 | 5 |
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 | 6 |
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
|
|
| 7 | 1 |
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 | 2 |
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 | 3 |
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 | 4 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
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 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 Models of a frustrum of a cone |
KLB BK 2 Pg 189-190
|
|
| 7 | 5 |
Trigonometry
|
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
|
|
| 7 | 6 |
Trigonometry
Trigonometric Ratios |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life Tangent of an angle |
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
Mathematical table Chart illustrating formula used Protractor Ruler Right corners Mathematical tables |
Macmillan BK 2 Pg 173
|
|
| 8 |
CAT |
|||||||
| 9 | 1 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
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
|
|
| 9 | 2 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle The cosine 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
|
|
| 9 |
Midterm |
|||||||
| 10 | 1 |
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
|
|
| 10 | 2 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents |
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
|
|
| 10 | 3 |
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 | 4 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle |
Problem solving
Area = Solve problems involving = |
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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus Area of trapezium and kite |
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 | 1 |
Area of Quadrilaterals
|
Area of regular polygons
Problem solving |
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 Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 2 |
Area of Part of a Circle
|
Area of a sector
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 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 | 3 |
Area of Part of a Circle
|
Common region between two circles
Problem solving |
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 |
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
|
|
| 11 | 4 |
Surface Area of Solids
|
Surface area of prisms
Surface area of pyramid Surface area of a cone |
By the end of the
lesson, the learner
should be able to:
find the surface area of a prism. |
Drawing prisms
Measuring lengths Opening prisms to form nets Discussions Calculating area |
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base Cone |
KLB Maths Bk2 Pg. 177
|
|
| 11 | 5 |
Surface Area of Solids
|
Surface area of frustrum with circular base
Surface area of frustrum with square base |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with circular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 11 | 6 |
Surface Area of Solids
|
Surface area of frustrum with rectangular base
Surface area of spheres Problem solving |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with rectangular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations Past paper questions |
KLB Maths Bk2 Pg. 181-183
|
|
| 12 |
Exam |
|||||||
| 12 | 4 |
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 | 5 |
Volume of Solids
|
Volume of a cone
Volume of a sphere Volume of frustrum |
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 Frustrum with circular base |
KLB Maths Bk2 Pg. 191
|
|
| 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 |
Marking /revision |
|||||||
| 14 |
Closing |
|||||||
Your Name Comes Here