If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 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 |
|
| 1 | 2-3 |
Gradient and equations of straight lines
|
Equation of a line
Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find equation of a line passing through two points Find linear equations in the form y=mx+c |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34 discovering secondary pg 25 KLB Mathematics Book Two Pg 34-36 discovering secondary pg 27 |
|
| 1 | 4 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line |
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 Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 1 | 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 |
|
| 1 | 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 |
|
| 2 | 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 |
|
| 2 | 2-3 |
Reflection and congruence
|
Some general deductions using reflection
Some general deductions using reflection Congruence |
By the end of the
lesson, the learner
should be able to:
Prove that vertically opposite angles are equal Deduce some general rules of reflection |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus Books Videos Charts |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 KLB Mathematics Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 2 | 4 |
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 |
|
| 2 | 5 |
Reflection and congruence
|
Congruent triangles
|
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 |
|
| 2 | 6 |
Reflection and congruence
Rotation |
The ambiguous case
Introduction |
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 |
KLB Mathematics
Book Two Pg 67 Discovering secondary pg 41 |
|
| 3 | 1 |
Rotation
|
Centre of rotation
|
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 |
|
| 3 | 2-3 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the angle of rotation Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 KLB Mathematics Book Two Pg 76 Discovering secondary pg 47 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
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 |
|
| 3 | 6 |
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 |
|
| 4 | 1 |
Similarity and enlargement
|
Similar figures
|
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 |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
| 4 | 2-3 |
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 Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus Apparatus Books Videos Charts |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 KLB Mathematics Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
Similarity and enlargement
|
Negative 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 |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 4 | 6 |
Similarity and enlargement
|
Positive and negative linear 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 |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 5 | 1 |
Similarity and enlargement
|
Area scale factor
Area of scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 106-107 Discovering secondary pg 62 |
|
| 5 | 2-3 |
Similarity and enlargement
|
Volume scale factor
Volume scale factor Area and volume scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor Use volume scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 KLB Mathematics Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 5 | 4 |
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
|
|
| 5 | 5 |
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
|
|
| 5 | 6 |
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 | 1 |
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 | 2-3 |
Trigonometry
|
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles Sines and cosines 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 Establish the relationship of sine and cosine of complimentary angles |
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
Using established relationship to solve problems |
Mathematical table Charts Chalkboard
Chalkboards Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
KLB BK2 Pg 145 |
|
| 6 | 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
|
|
| 6 | 5 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems |
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 |
KLB BK2 Pg 146-147
|
|
| 6 | 6 |
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
|
|
| 7 | 1 |
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 | 2-3 |
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 Calculate the are of a triangle given the base and height |
Solving problems through reading the table of logarithm of sines, cosines and tangents
Calculating the area of a triangle given the base and height |
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 149-152
KLB BK2 Pg 155 |
|
| 7 | 4 |
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
|
|
| 7 | 5 |
Trigonometry
|
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
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:
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
Charts illustrating formula used in calculating the areas of the quadrilateral |
KLB BK2 Pg 157-158
|
|
| 7 | 6 |
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
|
|
| 8 | 1 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon |
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
Charts illustrating various irregular polygons Polygonal shapes |
KLB BK2 Pg 164
|
|
| 8 | 2-3 |
Trigonometry
|
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 a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle - Define what a segment of a circle is - Find the area of a segment of a circle |
Finding the area of a minor and a major sector 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 ? |
Charts illustrating sectors
Chart illustrating a Segment |
KLB BK 2 Pg 167
KLB BK2 Pg 169-170 |
|
| 8 | 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 |
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
|
|
| 8 | 5 |
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
|
|
| 8 | 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
|
|
| 9 | 1 |
Trigonometry
|
Surface area of a cone using the formula A = ?r2 + ?rl
|
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
|
KLB BK 2 Pg 181
|
|
| 9 | 2 |
Trigonometry
|
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 surface area of a frustrum of a cone and pyramid |
Finding the surface area of a frustrum of a cone and a pyramid
|
Models of frustrum of a cone and a pyramid
|
KLB BK 2 Pg 182
|
|
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Trigonometry
|
Finding the surface area of a sphere
Surface area of a Hemispheres |
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
Models of a hemisphere |
KLB BK 2 Pg 183
|
|
| 10 | 2-3 |
Trigonometry
|
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 volume of a triangular based prism Find the volume of a hexagonal based prism |
Finding the volume of a triangular based prism
Calculating the volume of an hexagonal prism |
Models of a triangular based prism
Models of hexagonal based prism |
KLB BK 2 Pg 186
KLB BK 2 Pg 187 |
|
| 10 | 4 |
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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
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 | 1 |
Trigonometry
|
Volume of a Hemisphere {(v = ? (4/3?r3)}
|
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
|
Macmillan BK 2 Pg 173
|
|
| 11 | 2-3 |
Trigonometry
Trigonometric Ratios |
Application of area of triangles to real life
Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
Use the knowledge of the area of triangles in solving problems in real life situation name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation |
Solving problems in real life using the knowledge of the area of triangle
Measuring lengths/angles Dividing numbers Drawing right angles Reading mathematical tables |
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
KLB Maths Bk2 Pg. 119-122 |
|
| 11 | 4 |
Trigonometric Ratios
|
Using tangents in calculations
|
By the end of the
lesson, the learner
should be able to:
calculate the size of an angle given two sides and 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
|
|
| 11 | 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
|
|
| 11 | 6 |
Trigonometric Ratios
|
The cosine of an angle
|
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
|
|
| 12 | 1 |
Trigonometric Ratios
|
Application of sine and cosine
|
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 | 2-3 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles |
By the end of the
lesson, the learner
should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa apply the knowledge of special angles to solve problems |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical 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 | 4 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
|
By the end of the
lesson, the learner
should be able to:
solve problems using logarithms of sines cosines and 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 | 5 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation |
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
|
|
| 12 | 6 |
Trigonometric Ratios
|
Problem solving
|
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry |
Problem solving
|
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 13-14 |
Exams and closing |
|||||||
Your Name Comes Here