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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 2 |
Bearing And Surveying
|
Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
Determine the area of irregular shapes using surveying techniques |
Discussions
Measuring lengths/objects Drawing scale Estimating are |
Geometrical sets
Clinometers Surveying equipment Protractor Ruler Playfield School compound |
Discovering secondary mathematics Book 1 Pages 178-181
Secondary mathematics KLB book 1 pages 267-268 Secondary mathematics KIE book 1 page 205-206 Advancing in mathematics book 1 pages 216-220 |
|
| 1 | 3 |
Bearing And Surveying
|
Area of irregular shapes
|
By the end of the
lesson, the learner
should be able to:
Determine the area of irregular shapes using surveying techniques |
Discussions
Measuring lengths/objects Drawing scale Estimating are |
Geometrical sets
Clinometers Surveying equipment Protractor Ruler Playfield School compound |
Discovering secondary mathematics Book 1 Pages 178-181
Secondary mathematics KLB book 1 pages 267-268 Secondary mathematics KIE book 1 page 205-206 Advancing in mathematics book 1 pages 216-220 |
|
| 1 | 4 |
Common Solids
|
Regular solids
|
By the end of the
lesson, the learner
should be able to:
Identify and sketch common solids |
Discussions
Counting sides faces and vertices Sketching solids |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 182-185
Secondary mathematics KLB book 1 pages 271-276 Secondary mathematics KIE book 1 page 248-254 Advancing in mathematics book 1 pages 222-227 |
|
| 1 | 5 |
Common Solids
|
Regular solids
|
By the end of the
lesson, the learner
should be able to:
Identify and sketch common solids |
Discussions
Counting sides faces and vertices Sketching solids |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 182-185
Secondary mathematics KLB book 1 pages 271-276 Secondary mathematics KIE book 1 page 248-254 Advancing in mathematics book 1 pages 222-227 |
|
| 1 | 6 |
Common Solids
|
Nets of solids
|
By the end of the
lesson, the learner
should be able to:
Sketch, draw nets of solids and make models of solids from the nets |
Discussions
Sketching Drawing to scale Drawing accurately Making models |
Models of common solids
Examples of the common solids |
Discovering secondary mathematics Book 1 Pages 186-188
Secondary mathematics KLB book 1 pages 277-283 Secondary mathematics KIE book 1 page 255-260 Advancing in mathematics book 1 pages 228-229 |
|
| 2 | 1 |
Common Solids
|
Surface area of solids
|
By the end of the
lesson, the learner
should be able to:
Calculate the surface area of solid from nets |
Discussions
Sketching Making models Drawing to scale |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 188-189
Secondary mathematics KLB book 1 pages 284-285 Secondary mathematics KIE book 1 page 264-265 Advancing in mathematics book 1 pages 230-231 |
|
| 2 | 2 |
Common Solids
|
Surface area of solids
|
By the end of the
lesson, the learner
should be able to:
Calculate the surface area of solid from nets |
Discussions
Sketching Making models Drawing to scale |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 188-189
Secondary mathematics KLB book 1 pages 284-285 Secondary mathematics KIE book 1 page 264-265 Advancing in mathematics book 1 pages 230-231 |
|
| 2 | 3 |
Common Solids
|
Surface area of solids
|
By the end of the
lesson, the learner
should be able to:
Calculate the surface area of solid from nets |
Discussions
Sketching Making models Drawing to scale |
Models of common solids
Actual solids |
Discovering secondary mathematics Book 1 Pages 188-189
Secondary mathematics KLB book 1 pages 284-285 Secondary mathematics KIE book 1 page 264-265 Advancing in mathematics book 1 pages 230-231 |
|
| 2 | 4 |
Common Solids
|
Distance between two points on the surface area of solid
|
By the end of the
lesson, the learner
should be able to:
Determine the distance between two points on the surface of a solid |
Discussions
Sketching Making models Drawing to scale Measuring lengths/angles |
Sketches of cubes and cuboids
charts |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
| 2 | 5 |
Common Solids
|
Distance between two points on the surface area of solid
|
By the end of the
lesson, the learner
should be able to:
Determine the distance between two points on the surface of a solid |
Discussions
Sketching Making models Drawing to scale Measuring lengths/angles |
Sketches of cubes and cuboids
charts |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
| 2 | 6 |
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 |
|
| 3 | 1 |
Cube and cube roots
|
Use of tables to find cubes
|
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 |
|
| 3 | 2 |
Cube and cube roots
|
Cube roots using factor method
|
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 |
|
| 3 | 3 |
Reciprocals
|
Reciprocal of numbers by division
|
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 |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 3 | 4 |
Reciprocals
|
Reciprocal of numbers by division
|
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 |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 3 | 5 |
Reciprocals
|
Reciprocal of number from tables
|
By the end of the
lesson, the learner
should be able to:
Find reciprocal of numbers from the table |
|
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 5-6 discovering secondary pg 7 |
|
| 3 | 6 |
Indices and Logarithms
|
Indices
|
By the end of the
lesson, the learner
should be able to:
State the laws of indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 7-8 discovering secondary pg 10 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
Indices and Logarithms
|
Fractional indices
|
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 |
|
| 4 | 3 |
Indices and Logarithms
|
Logarithms
|
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 |
|
| 4 | 4 |
Indices and Logarithms
|
Standard form
|
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 |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 4 | 5 |
Indices and Logarithms
|
Powers of 10 and common logarithms
|
By the end of the
lesson, the learner
should be able to:
Read from the table logarithms of numbers |
|
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 16-18 discovering secondary pg 15 |
|
| 4 | 6 |
Indices and Logarithms
|
Logarithms of positive numbers less than 1
|
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 |
|
| 5 | 1 |
Indices and Logarithms
|
Antilogarithms
|
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 |
|
| 5 | 2 |
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 |
|
| 5 | 3 |
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 |
|
| 5 | 4 |
Indices and Logarithms
|
Roots
|
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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
Gradient and equations of straight lines
|
Gradient
|
By the end of the
lesson, the learner
should be able to:
State the type of gradient |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 30-32 discovering secondary pg 23 |
|
| 6 | 1 |
Gradient and equations of straight lines
|
Equation of a line
|
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 |
|
| 6 | 2 |
Gradient and equations of straight lines
|
Linear equation y=mx+c
|
By the end of the
lesson, the learner
should be able to:
Find linear equations in the form y=mx+c |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 6 | 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 |
|
| 6 | 4 |
Gradient and equations of straight lines
|
The graph of a straight line
|
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line |
|
Sets
Books Videos Charts |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 6 | 5 |
Gradient and equations of straight lines
|
Perpendicular lines
|
By the end of the
lesson, the learner
should be able to:
Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 41-42 discovering secondary pg 30 |
|
| 6 | 6 |
Gradient and equations of straight lines
|
Parallel lines
|
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 |
|
| 7 | 1 |
Trigonometry
|
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
|
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 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
|
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
|
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 7 | 4 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
|
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
|
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 7 | 5 |
Trigonometry
|
Trigonometric Table
|
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
|
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 7 | 6 |
Trigonometry
|
Angles and sides of a right angled triangle
|
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
|
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 8 | 1 |
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
|
|
| 8 | 2 |
Trigonometry
|
Sines and cosines of Complimentary angles
|
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
|
KLB BK2 Pg 145
|
|
| 8 | 3 |
Trigonometry
|
Sines and cosines of Complimentary angles
|
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
|
KLB BK2 Pg 145
|
|
| 8 | 4 |
Trigonometry
|
Relationship between tangent, sine and cosine
|
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
|
KLB BK2 Pg 145
|
|
| 8 | 5 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
|
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
|
KLB BK2 Pg 146-147
|
|
| 8 | 6 |
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
|
|
| 9-10 |
Midterm exams and break |
|||||||
| 10 | 2 |
Trigonometry
|
Logarithms of Sines
|
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
|
KLB BK2 Pg 149
|
|
| 10 | 3 |
Trigonometry
|
Logarithms of cosines And tangents
|
By the end of the
lesson, the learner
should be able to:
Read the logarithm of cosines and tangents from mathematical tables |
Reading logarithms of cosine and tangent from mathematical table
|
Chalkboard Mathematical table
|
KLB BK2 Pg 150-152
|
|
| 10 | 4 |
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
|
|
| 10 | 5 |
Trigonometry
|
Application of trigonometry to real life situations
|
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
|
KLB BK2 Pg 153-154
|
|
| 10 | 6 |
Trigonometry
|
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:
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
|
KLB BK2 Pg 155
|
|
| 11 | 1 |
Trigonometry
|
Area of a triangle using the formula (A = ? absin?)
|
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
|
KLB BK2 Pg 156
|
|
| 11 | 2 |
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
|
|
| 11 | 3 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
|
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
|
KLB BK2 Pg 161-163
|
|
| 11 | 4 |
Trigonometry
|
Area of a kite
|
By the end of the
lesson, the learner
should be able to:
Find the area of a kite |
Calculating the area of a Kite
|
Model of a kite
|
KLB BK2 Pg 163
|
|
| 11 | 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
|
|
| 11 | 6 |
Trigonometry
|
Area of irregular Polygon
|
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
|
KLB BK2 Pg 166
|
|
| 12-14 |
End term examinations and Closing |
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