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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Scale Drawing And Angles Of Elevation And Depression
|
Indicating scale
Angles of elevation & depression |
By the end of the
lesson, the learner
should be able to:
Read, interpret and indicate scale in linear statement ratio |
Discussions
Solving problems Drawing to scale Writing scale Interpreting scale Determining scale |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 116-168
Secondary mathematics KLB book 1 pages 248-250 Secondary mathematics KIE book 1 page 185 Advancing in mathematics book 1 pages 209-210 |
|
| 2 | 2 |
Scale Drawing And Angles Of Elevation And Depression
|
Bearing
|
By the end of the
lesson, the learner
should be able to:
State the bearing of a point from another point |
Discussions
Drawing to scale Measuring angles/lengths Solving problems involving bearings |
Ruler
Tape measure Protractor Set square Plumb line |
Discovering secondary mathematics Book 1 Pages 173-175
Secondary mathematics KLB book 1 pages 251-252 Secondary mathematics KIE book 1 page 193-195 Advancing in mathematics book 1 pages 211-213 |
|
| 2 | 3 |
Bearing And Surveying
|
Methods of surveying
|
By the end of the
lesson, the learner
should be able to:
Apply scale drawing in methods of surveying |
Discussions
Drawing to scale Measuring angles/lengths Estimating area |
Geometrical sets
Clinometers Surveying equipment Protractor Ruler Playfield School compound |
Discovering secondary mathematics Book 1 Pages 176-178
Secondary mathematics KLB book 1 pages 262-265 Secondary mathematics KIE book 1 page 199-202 Advancing in mathematics book 1 pages 213-216 |
|
| 2 | 4 |
Bearing And Surveying
Common Solids |
Area of irregular shapes
Regular solids |
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 Models of common solids Actual solids |
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 |
|
| 2 | 5 |
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 | 6 |
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 |
|
| 3 | 1 |
Common Solids
Cube and cube roots Cube and cube roots |
Distance between two points on the surface area of solid
Cubes Use of tables to find cubes |
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 Sets Books Videos Apparatus |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
| 3 | 2 |
Cube and cube roots
Reciprocals Reciprocals |
Cube roots using factor method
Reciprocal of numbers by division Reciprocal of number from tables |
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 Sets |
KLB Mathematics
Book Two Pg 3-4 discovering secondary pg 4 |
|
| 3 | 3 |
Indices and Logarithms
|
Indices
Negative indices Fractional 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 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
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 | 6 |
Indices and Logarithms
|
Applications of logarithms
Roots 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 |
|
| 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 The y-intercept |
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 |
|
| 4-5 |
Opener exam |
|||||||
| 5 | 3 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines Parallel 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 |
|
| 5 | 4 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
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
|
|
| 5 | 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
|
|
| 5 | 6 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles |
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
|
|
| 6 | 1 |
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
|
|
| 6 | 2 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation Problem solving |
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
|
|
| 6 | 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 |
|
| 6 | 4 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane 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 |
|
| 6 | 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 |
|
| 6 | 6 |
Rotation
Reflection and congruence Reflection and congruence |
Rotation and congruence
Symmetry Reflection |
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 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
Reflection and congruence
|
Congruence
Congruent triangles 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 |
|
| 7 | 3 |
Reflection and congruence
Trigonometry Trigonometry |
The ambiguous case
Pythagoras Theorem Solutions of problems Using Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Determine the two angles that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem |
KLB Mathematics
Book Two Pg 67 Discovering secondary pg 41 |
|
| 7 | 4 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines Trigonometric Table |
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 | 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
|
|
| 7 | 6 |
Trigonometry
|
Sines and cosines of Complimentary angles
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:
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 Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 8 | 1 |
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
|
|
| 8 | 2 |
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
|
|
| 8-9 |
Mid term exam |
|||||||
| 9 |
Mid term break |
|||||||
| 10 | 1 |
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
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
Trigonometry
|
Area of irregular Polygon
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 irregular polygons |
Finding the area of irregular polygons
|
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors Chart illustrating a Segment |
KLB BK2 Pg 166
|
|
| 10 | 4 |
Trigonometry
|
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 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:
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 Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 175
|
|
| 10 | 5 |
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 | 6 |
Trigonometry
|
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 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 Models of a sphere Charts illustrating formula for finding the surface area of a sphere |
KLB BK 2 Pg 181
|
|
| 11 | 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
|
|
| 11 | 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
|
|
| 11 | 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
|
|
| 11 | 4 |
Trigonometry
Similarity and enlargement |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life Similar figures |
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 Apparatus Books Videos Charts |
Macmillan BK 2 Pg 173
|
|
| 11 | 5 |
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 |
|
| 11 | 6 |
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 |
|
| 12 | 1 |
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 |
|
| 12 | 2 |
Similarity and enlargement
|
Area of scale factor
Volume 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 |
|
| 12 | 3 |
Similarity and enlargement
Area of A Triangle Area of A Triangle |
Area and volume scale factor
Area = Solve problems involving = |
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 Protractor Ruler Right corners Mathematical tables |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 12 | 4 |
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
|
|
| 12 | 5 |
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
|
|
| 12 | 6 |
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
|
|
| 13 |
End term exam |
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| 14 |
Closing |
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