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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 5 |
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 |
|
| 6 |
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 |
||
| 3 | 1 |
Reciprocals
|
Reciprocal of number from tables
|
By the end of the
lesson, the learner
should be able to:
Find reciprocal of numbers from the table |
|
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 5-6 discovering secondary pg 7 |
|
| 2 |
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 |
||
| 3 |
Indices and Logarithms
|
Fractional indices
Logarithms |
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 |
||
| 4 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
||
| 5 |
Indices and Logarithms
|
Logarithms of positive numbers less than 1
|
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 |
||
| 6 |
Indices and Logarithms
|
Antilogarithms
Applications of logarithms |
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 |
||
| 4 | 1 |
Indices and Logarithms
|
Roots
|
By the end of the
lesson, the learner
should be able to:
Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 24-25 discovering secondary pg 21 |
|
| 2 |
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 |
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 |
||
| 4 |
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 |
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 |
||
| 6 |
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 |
||
| 5 | 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 |
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 |
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 |
||
| 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 |
||
| 5 |
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 |
||
| 6 |
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 |
||
| 6 | 1 |
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 |
|
| 2 |
Rotation
|
Rotation in the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
||
| 3 |
Rotation
|
Rotational symmetry of plane figures
|
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 |
||
| 4 |
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 |
||
| 5 |
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 |
Trigonometry
|
Application to real life Situation
|
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
|
KLB BK2 Pg 159 Discovering secondary pg 67
|
||
| 7 | 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
|
|
| 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
|
||
| 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
|
||
| 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
|
||
| 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 |
Solving trigonometric problems of special angles
|
Chalkboard
Chalkboard Mathematical tables |
KLB BK2 Pg 148
|
||
| 6 |
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
|
||
| 8 | 1 |
Trigonometry
|
Application of trigonometry to real life situations
|
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
|
KLB BK2 Pg 153-154
|
|
| 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 |
Calculating the area of a triangle given the base and height
|
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 155
|
||
| 3 |
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
|
||
| 4 |
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
|
||
| 5 |
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
|
||
| 6 |
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 |
Finding the area of a minor and a major sector of a circle
|
Charts illustrating sectors
Chart illustrating a Segment |
KLB BK 2 Pg 167
|
||
| 9 |
Midterm |
|||||||
| 10 | 1 |
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
|
|
| 2 |
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
|
||
| 3 |
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
|
||
| 4 |
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
|
||
| 5 |
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
|
||
| 6 |
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
|
||
| 11 | 1 |
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
|
|
| 2 |
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
|
||
| 3 |
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 |
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
Models of frustrum of a pyramid |
KLB BK 2 Pg 192
|
||
| 4 |
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 |
Finding the volume of a Sphere
|
Model of a sphere Mathematical table
Models of hemisphere |
KLB BK 2 Pg 195
|
||
| 5 |
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
|
||
| 6 |
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
|
||
| 12 | 1 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents |
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
|
|
| 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
|
||
| 3 |
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
|
||
| 4 |
Trigonometric Ratios
|
Complementary angles
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 |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
||
| 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
|
||
| 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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