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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 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
|
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 |
|
| 2 | 3 |
Reciprocals
|
Reciprocal of numbers by division
Reciprocal of number from tables |
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 Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 2 | 4 |
Indices and Logarithms
|
Indices
Negative 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 |
|
| 2 | 5 |
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 |
|
| 2 | 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 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
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 | 3 |
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 |
|
| 3 | 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 |
|
| 3 | 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 |
|
| 3 | 6 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
|
| 4 | 3 |
Gradient and equations of straight lines
|
Perpendicular lines
Parallel 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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 4 | 6 |
Reflection and congruence
|
Some general deductions using reflection
Congruence |
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
|
Congruent triangles
|
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 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
|
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 |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 6 | 1 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 6 | 2 |
Rotation
|
Rotation and congruence
|
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 |
|
| 6 | 3 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using 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
Charts illustrating Pythagoras theorem |
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 6 | 4 |
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
|
|
| 6 | 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
|
|
| 6 | 6 |
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 | 1 |
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
|
|
| 7 | 2 |
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 | 3 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines |
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 |
KLB BK2 Pg 148
|
|
| 7 | 4 |
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
|
|
| 7 | 5 |
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
|
|
| 7 | 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
|
|
| 8 | 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
|
|
| 8 | 2 |
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
|
|
| 8 | 3 |
Trigonometry
|
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:
Find the area of a kite |
Calculating the area of a Kite
|
Model of a kite
Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 163
|
|
| 8 | 4 |
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
|
|
| 8 | 5 |
Trigonometry
|
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:
- 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
|
KLB BK2 Pg 169-170
|
|
| 8 | 6 |
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 |
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 |
KLB BK 2 Pg 175
|
|
| 9 |
Midterm |
|||||||
| 10 | 1 |
Trigonometry
|
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:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Defining a prism Calculating the surface area of the prisms
|
Models of cylinder, triangular and hexagonal prisms
|
KLB BK 2 Pg 177
|
|
| 10 | 2 |
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 | 3 |
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 | 4 |
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 | 5 |
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 | 6 |
Trigonometry
|
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 volume of a hexagonal based prism |
Calculating the volume of an hexagonal prism
|
Models of hexagonal based prism
|
KLB BK 2 Pg 187
|
|
| 11 | 1 |
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 | 2 |
Trigonometry
|
Volume of a frustrum of a cone
|
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
|
KLB BK 2 Pg 192
|
|
| 11 | 3 |
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
|
|
| 11 | 4 |
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
|
|
| 11 | 5 |
Trigonometric Ratios
|
Tangent of an angle
|
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
|
|
| 11 | 6 |
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
|
|
| 12 | 1 |
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
|
|
| 12 | 2 |
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 | 3 |
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 | 4 |
Trigonometric Ratios
|
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 | 5 |
Trigonometric Ratios
|
Application of Special angles
Logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of special angles to solve problems |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 6 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
|
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
|
|
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