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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting of students and revision |
|||||||
| 2 | 1 |
Cube and cube roots
|
Cubes
|
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 2 | 2 |
Cube and cube roots
|
Use of tables to find cubes
Cube roots using factor method |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 |
|
| 2 | 3 |
Reciprocals
Indices and Logarithms |
Reciprocal of numbers by division
Reciprocal of number from tables Indices |
By the end of the
lesson, the learner
should be able to:
Find the reciprocal of number by division |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 2 | 4 |
Indices and Logarithms
|
Negative indices
Fractional indices |
By the end of the
lesson, the learner
should be able to:
Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 8-9 discovering secondary pg 11 |
|
| 2 | 5 |
Indices and Logarithms
|
Logarithms
Standard form |
By the end of the
lesson, the learner
should be able to:
Write numbers in logarithms and vice versa |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 13-15 discovering secondary pg 15 |
|
| 2 | 6 |
Indices and Logarithms
|
Powers of 10 and common logarithms
Logarithms of positive numbers less than 1 Antilogarithms |
By the end of the
lesson, the learner
should be able to:
Read from the table logarithms of numbers |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 16-18 discovering secondary pg 15 |
|
| 3 | 1 |
Indices and Logarithms
|
Applications of logarithms
Roots |
By the end of the
lesson, the learner
should be able to:
Use multiplication and division law of indices to find logarithms |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 20-22 discovering secondary pg 18 |
|
| 3 | 2 |
Indices and Logarithms
Gradient and equations of straight lines Gradient and equations of straight lines |
Roots
Gradient Gradient |
By the end of the
lesson, the learner
should be able to:
Find logarithms of root numbers 2 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 25 discovering secondary pg21 |
|
| 3 | 3 |
Gradient and equations of straight lines
|
Equation of a line
Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find equation of a line passing through two points |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34 discovering secondary pg 25 |
|
| 3 | 4 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 3 | 5 |
Gradient and equations of straight lines
Reflection and congruence |
Parallel lines
Symmetry |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 3 | 6 |
Reflection and congruence
|
Reflection
Some general deductions using 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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
|
| 4 | 3 |
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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 | 6 |
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 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
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 |
|
| 5 | 3 |
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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 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
|
|
| 6 | 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
|
|
| 6 | 2 |
Trigonometry
|
Angles and sides of a right angled triangle
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:
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 Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 6 | 3 |
Trigonometry
|
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:
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 |
KLB BK2 Pg 145
|
|
| 6 | 4 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines Logarithms of cosines And tangents |
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 Chalkboard Mathematical table |
KLB BK2 Pg 148
|
|
| 6 | 5 |
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 | 6 |
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
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
Trigonometry
|
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
|
|
| 7 | 3 |
Trigonometry
|
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 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:
- 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 Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK 2 Pg 167
|
|
| 7 | 4 |
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 | 5 |
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
|
|
| 7 | 6 |
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
|
|
| 8 |
Midterm exam |
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| 9 |
Midterm break |
|||||||
| 10 | 1 |
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
|
|
| 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 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 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 Model of a sphere Mathematical table |
KLB BK 2 Pg 192
|
|
| 10 | 4 |
Trigonometry
|
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 a hemisphere |
Working out the volume of a hemisphere
|
Models of hemisphere
Mathematical table Chart illustrating formula used |
Macmillan BK 2 Pg 173
|
|
| 10 | 5 |
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 | 6 |
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
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of 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
|
|
| 11 | 3 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan |
By the end of the
lesson, the learner
should be able to:
solve problems using logarithms of sines cosines and tangents |
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
Area of A Triangle |
Application to real life situation
Problem solving Area = |
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 | 5 |
Area of A Triangle
|
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 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
|
|
| 11 | 6 |
Area of A Triangle
Area of Quadrilaterals Area of Quadrilaterals |
Problem solving
Area of parallelogram Area of Rhombus |
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
|
|
| 12 | 1 |
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 | 2 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of a sector Area of a segment |
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 Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 165-166
|
|
| 12 | 3 |
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
|
|
| 12 | 4 |
Area of Part of a Circle
Surface Area of Solids |
Problem solving
Surface area of prisms |
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 |
KLB Maths Bk2 Pg. 167-169
|
|
| 12 | 5 |
Surface Area of Solids
|
Surface area of pyramid
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 pyramid |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 178
|
|
| 12 | 6 |
Surface Area of Solids
|
Surface area of frustrum with square base
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 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 Chalkboard illustrations Past paper questions |
KLB Maths Bk2 Pg. 181-183
|
|
| 13-14 |
End of term exam and closing |
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