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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 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 |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 2 | 3 |
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 |
|
| 2 | 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 |
|
| 2 | 5-6 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Calculate lengths of objects Enlarge an object |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 KLB Mathematics Book Two Pg 97 Discovering secondary pg 57 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear 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 Sets |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 3 | 3 |
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 |
|
| 3 | 4 |
Similarity and enlargement
|
Volume scale factor
|
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 |
|
| 3 | 5-6 |
Similarity and enlargement
Trigonometry |
Area and volume scale factor
Pythagoras Theorem 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 on area and volume scale factor Solve problems using Pythagoras Theorem |
Defining
Discussions Solving problem Explaining Solving problems using Pythagoras theorem |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem Mathematical table |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 KLB BK2 Pg 121 Discovering secondary pg 67 |
|
| 4 | 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
|
|
| 4 | 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
|
|
| 4 | 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 | 4 |
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
|
|
| 4 | 5-6 |
Trigonometry
|
Logarithms of Sines
Logarithms of cosines And tangents 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 Read the logarithms of sines, cosines and tangents from tables |
Solving problems by reading logarithm table of sines
Solving problems through reading the table of logarithm of sines, cosines and tangents |
Chalkboard Mathematical tables
Chalkboard Mathematical table Chalkboard Mathematical table Mathematical table |
KLB BK2 Pg 149
KLB BK2 Pg 149-152 |
|
| 5 | 1 |
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
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
Trigonometry
|
Area of a kite
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 kite |
Calculating the area of a Kite
|
Model of a kite
Mathematical table Charts illustrating Polygons Charts illustrating various irregular polygons Polygonal shapes |
KLB BK2 Pg 163
|
|
| 5 | 4 |
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
|
|
| 5 | 5-6 |
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 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:
Find the area of common region between two circles given the angles ? Education Plus Agencies Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Calculating the area of a segment
Defining a prism Calculating the surface area of the prisms |
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles Models of cylinder, triangular and hexagonal prisms Models of a square based pyramid |
KLB BK 2 Pg 175
KLB BK 2 Pg 177 |
|
| 6 | 1 |
Trigonometry
|
Surface area of a Rectangular based Pyramid
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 surface area of a rectangular based pyramid |
Finding the surface area of a rectangular based pyramid
|
Models of a Rectangular based pyramid
Models of a cone |
KLB BK 2 Pg 179-180
|
|
| 6 | 2 |
Trigonometry
|
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 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
Models of a sphere Charts illustrating formula for finding the surface area of a sphere |
KLB BK 2 Pg 182
|
|
| 6 | 3 |
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
|
|
| 6 | 4 |
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
|
|
| 6 | 5-6 |
Trigonometry
|
Volume of a cone
Volume of a frustrum of a cone 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 cone Find the volume of a frustrum of a Pyramid |
Finding the volume of a cone
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) |
Model of a cone
Models of a frustrum of a cone Models of frustrum of a pyramid Model of a sphere Mathematical table |
KLB BK 2 Pg 191
KLB BK 2 Pg 194 |
|
| 7 | 1 |
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
|
|
| 7 | 2 |
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
|
|
| 7 | 3 |
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
|
|
| 7 | 4 |
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
|
|
| 7 | 5-6 |
Trigonometric Ratios
|
Application of sine and cosine
Complementary angles Special angles Application of Special 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 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
|
|
| 8 | 1 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan |
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
|
|
| 8 | 2 |
Trigonometric Ratios
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 8 | 3 |
Area of A Triangle
|
Area =
Solve problems involving = |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 8 | 4 |
Area of A Triangle
Area of Quadrilaterals |
A =?s(s-a) (s-b) (s-c)
Problem solving Area of parallelogram |
By the end of the
lesson, the learner
should be able to:
find the area of a triangle given the three sides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 8 | 5-6 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite Area of regular polygons Problem solving |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. find the area of a regular polygon by using the formula A= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables |
KLB Maths Bk2 Pg. 161
KLB Maths Bk2 Pg. 119-122 |
|
| 9 |
Mid term |
|||||||
| 10 | 1 |
Area of Part of a Circle
|
Area of a sector
Area of a segment |
By the end of the
lesson, the learner
should be able to:
find area of a sector |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 10 | 2 |
Area of Part of a Circle
|
Common region between two circles
Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 10 | 3 |
Area of Part of a Circle
Surface Area of Solids |
Problem solving
Surface area of prisms |
By the end of the
lesson, the learner
should be able to:
solve problems involving the area of part of a circle |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 10 | 4 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone |
By the end of the
lesson, the learner
should be able to:
find the surface area of a pyramid |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area |
Pyramids with square base, rectangular base, triangular base
Cone |
KLB Maths Bk2 Pg. 178
|
|
| 10 | 5-6 |
Surface Area of Solids
|
Surface area of frustrum with circular base
Surface area of frustrum with square base Surface area of frustrum with rectangular base Surface area of spheres |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with circular base find the surface area of frustrum with rectangular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base Chart illustrating frustrum with a rectangular base Chalkboard illustrations |
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 KLB Maths Bk2 Pg. 181-183 |
|
| 11 | 1 |
Surface Area of Solids
Volume of Solids |
Problem solving
Volume of prism |
By the end of the
lesson, the learner
should be able to:
solve problems on surface area of solids |
Learners solve problems
|
Past paper questions
Prism |
KLB Maths Bk2 Pg. 183
|
|
| 11 | 2 |
Volume of Solids
|
Volume of pyramid
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a pyramid |
Drawing pyramids
Making pyramids Opening pyramids to form nets Discussions |
Pyramid
Cone |
KLB Maths Bk2 Pg. 189-190
|
|
| 11 | 3 |
Volume of Solids
|
Volume of a sphere
Volume of frustrum |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions |
Sphere
Frustrum with circular base |
KLB Maths Bk2 Pg. 195
|
|
| 11 | 4 |
Volume of Solids
|
Volume of frustrum with a square base
Volume of frustrum with a rectangular base |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base |
KLB Maths Bk2 Pg. 192-193
|
|
| 11 | 5-6 |
Volume of Solids
Quadratic Expressions and Equations |
Application to real life situation
Problem solving Expansion of Algebraic Expressions Quadratic identities |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of volume of solids to real life situations. expand algebraic expressions |
Making cones/frustums
Opening cones/frustums to form nets Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Models of pyramids, prism, cones and spheres
Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 193-194
KLB Maths Bk2 Pg. 203 |
|
| 12 | 1 |
Quadratic Expressions and Equations
|
Application of identities
Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
identify and use the three Algebraic identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 204-205
|
|
| 12 | 2 |
Quadratic Expressions and Equations
|
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2 |
By the end of the
lesson, the learner
should be able to:
factorise quadratic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Chart illustrating factorization of a quadratic expression
Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 3 |
Quadratic Expressions and Equations
|
Simplification of an expression by factorisation
Solving quadratic equations |
By the end of the
lesson, the learner
should be able to:
simplify a quadratic expression by factorisation |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 12 | 4 |
Quadratic Expressions and Equations
|
The formation of quadratic equations
Formation and solving of quadratic equations from word problems Solving on quadratic equations Forming quadratic equations from the roots |
By the end of the
lesson, the learner
should be able to:
form quadratic equations from information |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
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