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WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
---|---|---|---|---|---|---|---|---|
2 | 1 |
Geometric Constructions
|
Construction of a perpendicular bisector of a line
|
By the end of the
lesson, the learner
should be able to:
Use a pair of compasses and ruler only to construct a perpendicular bisector of a line |
Discussions
Construction of a perpendicular bisector of a line Drawing shapes |
Plane figures
Geometrical sets Polygonal shapes Ruler Pair of compasses |
Discovering secondary mathematics book 1 pages 77-78
Secondary mathematics KLB students book 1 page 227 Advancing mathematics book 1 page 197-198 Secondary KIE book 1 page 153 |
|
2 | 2 |
Geometric Constructions
|
Construction of parallel lines
|
By the end of the
lesson, the learner
should be able to:
Construct parallel lines using a ruler and a set square or at a given distance |
Discussions
Constructions Demonstrations Measuring angles |
Set squares
Ruler Pair of compass |
Discovering secondary mathematics book 1 pages 78-79
Secondary mathematics KLB students book 1 page 235 Advancing mathematics book 1 page 202 Secondary mathematics KIE book 1 page 154-155 |
|
2 | 3 |
Geometric Constructions
|
Dividing a line proportionally
|
By the end of the
lesson, the learner
should be able to:
Divide a line proportionally using a ruler and a set square |
Discussions
Dividing lines proportionally Drawing straight lines Measuring angles and lengths |
Set squares
Ruler Pair of compass |
Discovering secondary mathematics book 1 pages 79-80
Secondary mathematics KLB students book 1 page 236 Advancing mathematics book 1 page 203 Secondary mathematics KIE book 1 page 156 |
|
2 | 4 |
Geometric Constructions
|
Reproducing and bisecting angles
|
By the end of the
lesson, the learner
should be able to:
Reproduce and bisect an angle |
Discussions
Demonstrations Illustrations Drawing angles |
Ruler
Pair of compass |
Discovering secondary mathematics book 1 page80
Secondary mathematics KLB students book 1 page 233 Advancing mathematics book 1 page 202 Secondary mathematics KIE book 1 page 149-150 |
|
2 | 5 |
Geometric Constructions
|
Constructing angles
Constructing polygons |
By the end of the
lesson, the learner
should be able to:
Construct angles at 60 degrees |
Discussions
Measuring angles Bisecting angles Constructing angles Solving problems on construction of angles |
Ruler
Pair of compass Protractor Real objects |
Discovering secondary mathematics book 1 page 80-82
Secondary mathematics KLB students book 1 page 233-234 Advancing mathematics book 1 page 201-202 Secondary mathematics KIE book 1 page 149-150-151 |
|
2 | 6 |
Scale Drawing And Angles Of Elevation And Depression
|
Indicating scale
|
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 |
|
3 | 1 |
Scale Drawing And Angles Of Elevation And Depression
|
Angles of elevation & depression
|
By the end of the
lesson, the learner
should be able to:
Determine the angles of elevation and depression |
Discussions
Drawing to scale Doing exercises Solving problems Measuring angles/lengths |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 168-172
Secondary mathematics KLB book 1 pages 256-260 Secondary mathematics KIE book 1 page 187-192 Advancing in mathematics book 1 pages 211 |
|
3 | 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 |
|
3 | 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 |
|
3 | 4 |
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 |
|
3 | 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 |
|
3 | 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 |
|
4 | 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 |
|
4 | 2 |
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 |
|
4 | 3 |
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 |
|
4 | 4 |
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 |
|
4 | 5 |
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 |
|
4 | 6 |
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 |
|
5 | 1 |
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 |
|
5 | 2 |
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 |
|
5 | 3 |
Indices and Logarithms
Gradient and equations of straight lines |
Roots
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 |
|
5 | 4 |
Gradient and equations of straight lines
|
Gradient
Equation of a line |
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 |
|
5 | 5 |
Gradient and equations of straight lines
|
Linear equation y=mx+c
The y-intercept |
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 |
|
5 | 6 |
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 |
|
6 | 1 |
Reflection and congruence
|
Symmetry
Reflection |
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 |
|
6 | 2 |
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 |
|
6 | 3 |
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 |
|
6 | 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 |
|
6 | 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 |
|
6 | 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 |
|
7 | 1 |
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 |
|
7 | 2 |
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 |
|
7 | 3 |
Similarity and enlargement
|
Similar figures
Enlargement |
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 Sets |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
7 | 4 |
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 |
|
7 | 5 |
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 |
|
7 | 6 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area 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 Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
8 | 1 |
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 |
|
8 | 2 |
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 |
|
8 | 3 |
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
|
|
8-9 |
Midterm break |
|||||||
10 | 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
|
|
10 | 2 |
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
|
|
10 | 3 |
Trigonometry
|
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine |
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 |
KLB BK2 Pg 145
|
|
10 | 4 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems Logarithms of Sines |
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
Chalkboard Chalkboard Mathematical tables |
KLB BK2 Pg 146-147
|
|
10 | 5 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, 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 | 6 |
Trigonometry
|
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:
Solve problems in real life using trigonometry |
Solving problems using trigonometry in real life
|
Mathematical table
Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 153-154
|
|
11 | 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
|
|
11 | 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
|
|
11 | 3 |
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
|
|
11 | 4 |
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 |
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 |
KLB BK2 Pg 169-170
|
|
11 | 5 |
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
|
|
11 | 6 |
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
|
|
12 | 1 |
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
|
|
12 | 2 |
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
|
|
12 | 3 |
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
|
|
12 | 4 |
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
|
|
12 | 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
|
|
12 | 6 |
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
|
|
13-14 |
End term exams |
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