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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1-2 |
Opening of school and administration of opener exam |
|||||||
| 2 | 2 |
Rotation
|
Introduction
|
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 |
|
| 2 | 3-4 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 KLB Mathematics Book Two Pg 75 Discovering secondary pg 47 |
|
| 2 | 5 |
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 | 6 |
Rotation
Similarity and enlargement |
Rotational symmetry of solids
Rotation and congruence Similar figures |
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 |
|
| 3 | 1 |
Similarity and enlargement
|
Similar figures
Enlargement |
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 Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 3 | 2 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 3 | 3-4 |
Similarity and enlargement
|
Linear scale factor
Negative scale factor Positive and negative linear scale factor Area scale factor Area of scale factor |
By the end of the
lesson, the learner
should be able to:
Use the linear scale factor to find lengths Solve problems on linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 100-101 Discovering secondary pg 56 KLB Mathematics Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 3 | 5 |
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 | 6 |
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 4 | 1 |
Trigonometry
|
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 using Pythagoras Theorem |
Solving problems using Pythagoras theorem
|
Charts illustrating Pythagoras theorem
Mathematical table |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 4 | 2 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table Angles and sides of a right angled triangle |
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 Mathematical table Charts Chalkboard |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 4 | 3-4 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles 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:
Establish the relationship of sine and cosine of complimentary angles Relate the three trigonometric ratios, the sine, cosine and tangent |
Using established relationship to solve problems
Relating the three trigonometric ratios |
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles Charts showing the three related trigonometric ratio Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 4 | 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
|
|
| 4 | 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
|
|
| 5 | 1 |
Trigonometry
|
Application of trigonometry to real life situations
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:
Solve problems in real life using trigonometry |
Solving problems using trigonometry in real life
|
Mathematical table
Chart illustrating worked problem Chalkboard Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 153-154
|
|
| 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 | 3-4 |
Trigonometry
|
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon 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 a kite Find the area of irregular polygons |
Calculating the area of a Kite
Finding the area of irregular polygons |
Model of a kite
Mathematical table Charts illustrating Polygons Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors |
KLB BK2 Pg 163
KLB BK2 Pg 166 |
|
| 5 | 5 |
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 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:
- 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
Charts illustrating common region between the circles Use of a mathematical table during calculation Charts illustrating common region between two intersecting circles |
KLB BK2 Pg 169-170
|
|
| 5 | 6 |
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 |
Defining a prism Calculating the surface area of the prisms
|
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid |
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 | 3-4 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) Volume of prism (hexagonal based prism) given the sides and angle 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 surface area of a hemisphere Find the volume of a square based pyramid and rectangular based pyramid |
Finding the surface area of a hemisphere
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 a hemisphere
Models of a triangular based prism Models of hexagonal based prism Models of square and Rectangular based Pyramids Model of a cone |
KLB BK 2 Pg 184
KLB BK 2 Pg 189-190 |
|
| 6 | 5 |
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
|
|
| 6 | 6 |
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
|
|
| 7 | 1 |
Trigonometry
Trigonometric Ratios Trigonometric Ratios |
Application of area of triangles to real life
Tangent of an angle 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 |
Solving problems in real life using the knowledge of the area of triangle
|
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
|
|
| 7 | 2 |
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 | 3-4 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle Application of sine and cosine Complementary angles |
By the end of the
lesson, the learner
should be able to:
find the sine of an angle by calculations and through tables 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
|
|
| 7 | 5 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents |
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
|
|
| 7 | 6 |
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
|
|
| 8 | 1 |
Trigonometric Ratios
Area of A Triangle |
Problem solving
Area = |
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
|
|
| 8 | 2 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) |
By the end of the
lesson, the learner
should be able to:
solve problems involving area of triangles using the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 8 | 3-4 |
Area of A Triangle
Area of Quadrilaterals Area of Quadrilaterals |
Problem solving
Area of parallelogram Area of Rhombus Area of trapezium and kite Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
solve problems on area of a triangle given the three sides solve problems on the area of a regular polygon |
Discussions
Drawing triangles Measuring lengths/angles Calculating area Drawing trapeziums/polygons Measuring lengths/angles Reading mathematical tables Discussions |
Protractor
Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles Parallelograms Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 155-157
KLB Maths Bk2 Pg. 162-163 |
|
| 8 | 5 |
Area of Quadrilaterals
Area of Part of a Circle |
Problem solving
Area of a sector |
By the end of the
lesson, the learner
should be able to:
solve problems on area of quadrilaterals and other polygons |
Learners solve problems
|
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Circles Chart illustrating the area of a sector |
KLB Maths Bk2 Pg. 165-166
|
|
| 8 | 6 |
Area of Part of a Circle
|
Area of a segment
Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find area of a segment |
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
|
|
| 9-10 |
Midterm exams and midterm break |
|||||||
| 10 | 2 |
Area of Part of a Circle
Surface Area of Solids |
Common region between two circles
Problem solving Surface area of prisms |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles and solve problems related to that |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 10 | 3-4 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone Surface area of frustrum with circular base Surface area of frustrum with square base |
By the end of the
lesson, the learner
should be able to:
find the surface area of a pyramid find the surface area of frustrum with circular base |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area Drawing cones/frustums Making cones/frustums Measuring lengths/ angles Discussions |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 178
KLB Maths Bk2 Pg. 181-283 KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 10 | 5 |
Surface Area of Solids
|
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 rectangular base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations |
KLB Maths Bk2 Pg. 181-183
|
|
| 10 | 6 |
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 | 1 |
Volume of Solids
|
Volume of pyramid
Volume of a cone Volume of a sphere |
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 Sphere |
KLB Maths Bk2 Pg. 189-190
|
|
| 11 | 2 |
Volume of Solids
|
Volume of frustrum
Volume of frustrum with a square base |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a circular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base |
KLB Maths Bk2 Pg. 192-193
|
|
| 11 | 3-4 |
Volume of Solids
Volume of Solids Quadratic Expressions and Equations |
Volume of frustrum with a rectangular base
Application to real life situation Problem solving Expansion of Algebraic Expressions |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a rectangular base solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 192-193
KLB Maths Bk2 Pg. 196 |
|
| 11 | 5 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
derive 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
|
|
| 11 | 6 |
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 | 1 |
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 | 2 |
Quadratic Expressions and Equations
|
The formation of quadratic equations
Formation and solving of quadratic equations from word problems |
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
|
|
| 12 | 3-4 |
Quadratic Expressions and Equations
Linear Inequalities |
Solving on quadratic equations
Forming quadratic equations from the roots Inequalities symbols Number line Inequalities in one unknown |
By the end of the
lesson, the learner
should be able to:
solve problems on quadratic equations illustrate inequalities on a number line |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises Drawing graphs of inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
KLB Maths Bk2 Pg. 213-224 |
|
| 12 | 5 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
represent linear inequalities in one unknown graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines Graph papers
Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 12 | 6 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs Problem solving. |
By the end of the
lesson, the learner
should be able to:
solve simultaneous linear inequalities graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 13-14 |
Endterm 1 exam and closing of school. |
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