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WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
---|---|---|---|---|---|---|---|---|
1 |
Revision of previous term exams |
|||||||
2 | 1 |
Cube and cube roots
|
Cubes
Use of tables to find 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 Apparatus |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
2 | 2 |
Cube and cube roots
Reciprocals |
Cube roots using factor method
Reciprocal of numbers by division |
By the end of the
lesson, the learner
should be able to:
Find cube roots using factor method |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 3-4 discovering secondary pg 4 |
|
2 | 3 |
Reciprocals
Indices and Logarithms |
Reciprocal of number from tables
Indices |
By the end of the
lesson, the learner
should be able to:
Find reciprocal of numbers from the table |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 5-6 discovering secondary pg 7 |
|
2 | 4 |
Indices and Logarithms
|
Negative 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
|
Fractional indices
Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the fractional indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 9-11 discovering secondary pg 12 |
|
2 | 6 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
2 | 7 |
Indices and Logarithms
|
Logarithms of positive numbers less than 1
Antilogarithms |
By the end of the
lesson, the learner
should be able to:
Find the logarithms of positive numbers less than 1 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 18 discovering secondary pg 15 |
|
3 | 1 |
Indices and Logarithms
|
Applications of logarithms
|
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
|
Roots
|
By the end of the
lesson, the learner
should be able to:
Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 24-25 discovering secondary pg 21 |
|
3 |
Opener examinations |
|||||||
4 | 1 |
Gradient and equations of straight lines
|
Gradient
|
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
4 | 2 |
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 |
|
4 | 3 |
Gradient and equations of straight lines
|
The y-intercept
|
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 |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
4 | 4 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
4 | 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 |
|
4 | 6 |
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 |
|
4 | 7 |
Reflection and congruence
|
Some general deductions using reflection
|
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 |
|
5 | 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 |
|
5 | 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 |
|
5 | 3 |
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 |
|
5 | 4 |
Rotation
|
Angle of rotation
|
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 |
|
5 | 5 |
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 |
|
5 | 6 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures |
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 |
|
5 | 7 |
Rotation
|
Rotational symmetry of solids
Rotation and congruence |
By the end of the
lesson, the learner
should be able to:
Determine the lines of symmetry of solids |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 82-84 Discovering secondary pg 50 |
|
6 | 1 |
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 |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
6 | 2 |
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 |
|
6 | 3 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor |
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 |
|
6 | 4 |
Similarity and enlargement
|
Linear scale factor
Negative 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 |
|
6 | 5 |
Similarity and enlargement
|
Positive and negative linear 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 |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
6 | 6 |
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 |
|
6 | 7 |
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 |
|
7 | 1 |
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 |
|
7 | 2 |
Trigonometry
|
Solutions of problems Using Pythagoras Theorem
|
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
|
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
7 | 3 |
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
|
|
7 | 4 |
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
|
|
7 | 5 |
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
|
|
7 | 6 |
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
|
|
7 | 7 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
|
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
|
KLB BK2 Pg 148
|
|
8 | 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
|
|
8 | 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
|
|
8 | 3 |
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?) |
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 |
KLB BK2 Pg 155
|
|
8 | 4 |
Trigonometry
|
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:
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
|
KLB BK2 Pg 157-158
|
|
8 | 5 |
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
|
|
8 | 6 |
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
|
|
8 | 7 |
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 |
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
|
|
9 |
MIDTERM EXAM/BREAK |
|||||||
10 | 1 |
Trigonometry
|
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 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
|
KLB BK 2 Pg 175
|
|
10 | 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
|
|
10 | 3 |
Trigonometry
|
Area of a square based Pyramid
Surface area of a Rectangular 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
Models of a Rectangular based pyramid |
KLB BK 2 Pg 178
|
|
10 | 4 |
Trigonometry
|
Surface area of a cone using the formula A = ?r2 + ?rl
Surface area of a frustrum of a cone and a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the total surface area of the cone by first finding the area of the circular base and then the area of the curved surface |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
|
Models of a cone
Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 181
|
|
10 | 5 |
Trigonometry
|
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 sphere given the radius of a sphere |
Finding the surface area of a sphere
|
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
|
KLB BK 2 Pg 183
|
|
10 | 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
|
|
10 | 7 |
Trigonometry
|
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
|
|
11 | 1 |
Trigonometry
|
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
|
|
11 | 2 |
Trigonometry
|
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 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
|
KLB BK 2 Pg 194
|
|
11 | 3 |
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
|
|
11 | 4 |
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
|
|
11 | 5 |
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
|
|
11 | 6 |
Trigonometric Ratios
|
Application of tangents
|
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
|
|
11 | 7 |
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
|
|
12 | 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
|
|
12 | 2 |
Trigonometric Ratios
|
Special angles
Application of 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
|
|
12 | 3 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
|
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
|
|
12 | 4 |
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 | 5 |
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 | 6 |
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
|
|
12 | 7 |
Area of A Triangle
|
Problem solving
|
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 |
KLB Maths Bk2 Pg. 155-157
|
|
13-14 |
END OF TERM EXAMINATIONS |
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