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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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