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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 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 Use tables to find the cube of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 1 | 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 |
|
| 1 | 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 Find reciprocal of numbers from the table |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 1 | 4 |
Indices and Logarithms
|
Indices
Negative indices |
By the end of the
lesson, the learner
should be able to:
State the laws of indices Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 7-8 discovering secondary pg 10 |
|
| 1 | 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 |
|
| 1 | 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 Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 13-15 discovering secondary pg 15 |
|
| 2 | 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 |
|
| 2 | 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 Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 18 discovering secondary pg 15 |
|
| 2 | 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 Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 20-22 discovering secondary pg 18 |
|
| 2 | 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 |
|
| 2 | 5 |
Gradient and equations of straight lines
|
Gradient
Gradient |
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line State the type of gradient |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
| 2 | 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 |
|
| 3 | 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 Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 3 | 2 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 3 | 3 |
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 |
|
| 3 | 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 Draw an image under reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 |
|
| 3 | 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 |
|
| 3 | 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 Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 4 | 1 |
Reflection and congruence
|
Congruent triangles
Congruent triangles |
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 4 | 2 |
Reflection and congruence
|
The ambiguous case
|
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 |
|
| 4 | 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 Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 4 | 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 |
|
| 4 | 5 |
Rotation
|
Rotation in the Cartesian plane
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the origin Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 |
|
| 4 | 6 |
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 State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 5 | 1 |
Rotation
|
Rotational symmetry of solids
|
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 |
|
| 5 | 2 |
Rotation
Similarity and enlargement |
Rotation and congruence
Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence Calculate lengths of objects |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 5 | 3 |
Similarity and enlargement
|
Similar figures
|
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 5 | 4 |
Similarity and enlargement
|
Enlargement
Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Enlarge an object Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 5 | 5 |
Similarity and enlargement
|
Linear scale factor
Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the linear scale factor Use the linear scale factor to find lengths |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 5 | 6 |
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 |
|
| 6 | 1 |
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 Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 6 | 2 |
Similarity and enlargement
|
Area of 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 |
|
| 6 | 3 |
Similarity and enlargement
|
Volume scale factor
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 |
|
| 6 | 4 |
Similarity and enlargement
Trigonometry |
Area and volume scale factor
Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Solve problems on area and volume scale factor Derive Pythagoras Theorem |
Defining
Discussions Solving problem Explaining Deriving Pythagoras Theorem |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 6 | 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
|
|
| 6 | 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 Define tangent, sine and cosine ratios from a right angles triangle |
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Defining what a tangent, Cosine and sine are using a right angled triangle |
Mathematical table
Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 7 | 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
|
|
| 7 | 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 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 |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 7 | 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 Relate the three trigonometric ratios, the sine, cosine and tangent |
Solving problems involving the sines and cosines of complimentary angles
Relating the three trigonometric ratios |
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 7 | 4 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
|
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
|
KLB BK2 Pg 146-147
|
|
| 7 | 5 |
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 Read the logarithms of sines |
Solving trigonometric problems of special angles
Solving problems by reading logarithm table of sines |
Chalkboard
Chalkboard Mathematical tables |
KLB BK2 Pg 148
|
|
| 7 | 6 |
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
|
|
| 8 |
Midterm Exams and Break |
|||||||
| 9 | 1 |
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 Solve problems in real life using trigonometry |
Solving problems through reading the table of logarithm of sines, cosines and tangents
Solving problems using trigonometry in real life |
Chalkboard Mathematical table
Mathematical table |
KLB BK2 Pg 149-152
|
|
| 9 | 2 |
Trigonometry
|
Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?) |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle given the base and height - Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Calculating the area of a triangle given the base and height
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle |
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 155
|
|
| 9 | 3 |
Trigonometry
|
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:
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
|
KLB BK2 Pg 157-158
|
|
| 9 | 4 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium Find the area of a kite |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a Kite |
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite |
KLB BK2 Pg 161-163
|
|
| 9 | 5 |
Trigonometry
|
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 regular polygon |
Calculating the area of a regular polygon
|
Mathematical table Charts illustrating Polygons
|
KLB BK2 Pg 164
|
|
| 9 | 6 |
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 - 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 |
Finding the area of irregular polygons
Finding the area of a minor and a major sector of a circle |
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors |
KLB BK2 Pg 166
|
|
| 10 | 1 |
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 Find the area of common region between two circles given the angles ? Education Plus Agencies |
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 ?
Calculating the area of a segment |
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK2 Pg 169-170
|
|
| 10 | 2 |
Trigonometry
|
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:
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
|
KLB BK 2 Pg 176
|
|
| 10 | 3 |
Trigonometry
|
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid |
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 Find the total surface area of a square based pyramid |
Defining a prism Calculating the surface area of the prisms
Finding the surface area of a square based pyramid |
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid |
KLB BK 2 Pg 177
|
|
| 10 | 4 |
Trigonometry
|
Surface area of a Rectangular based Pyramid
|
By the end of the
lesson, the learner
should be able to:
Find the surface area of a rectangular based pyramid |
Finding the surface area of a rectangular based pyramid
|
Models of a Rectangular based pyramid
|
KLB BK 2 Pg 179-180
|
|
| 10 | 5 |
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 Find the surface area of a frustrum of a cone and pyramid |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Finding the surface area of a frustrum of a cone and a pyramid |
Models of a cone
Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 181
|
|
| 10 | 6 |
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 Find the surface area of a hemisphere |
Finding the surface area of a sphere
Finding the surface area of a hemisphere |
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere |
KLB BK 2 Pg 183
|
|
| 11 | 1 |
Trigonometry
|
Volume of Solids Volume of prism (triangular based prism)
|
By the end of the
lesson, the learner
should be able to:
Find the volume of a triangular based prism |
Finding the volume of a triangular based prism
|
Models of a triangular based prism
|
KLB BK 2 Pg 186
|
|
| 11 | 2 |
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 Find the volume of a square based pyramid and rectangular based pyramid |
Calculating the volume of an hexagonal prism
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 hexagonal based prism
Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 187
|
|
| 11 | 3 |
Trigonometry
|
Volume 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
|
KLB BK 2 Pg 191
|
|
| 11 | 4 |
Trigonometry
|
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a cone Find the volume of a frustrum of a Pyramid |
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
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 a frustrum of a cone
Models of frustrum of a pyramid |
KLB BK 2 Pg 192
|
|
| 11 | 5 |
Trigonometry
|
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)} |
By the end of the
lesson, the learner
should be able to:
Find the volume of sphere given the radius of the sphere Find the volume of a hemisphere |
Finding the volume of a Sphere
Working out the volume of a hemisphere |
Model of a sphere Mathematical table
Models of hemisphere |
KLB BK 2 Pg 195
|
|
| 11 | 6 |
Trigonometry
|
Application of area of triangles to real life
|
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 |
Solving problems in real life using the knowledge of the area of triangle
|
Mathematical table Chart illustrating formula used
|
KLB BK 2 Pg 159
|
|
| 12-13 |
End Term Exams and Closing |
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