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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Staff and departmental meetings |
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| 2 | 1-2 |
Reflection and congruence
|
Symmetry
Reflection Some general deductions using reflection Some general deductions using 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 Apparatus Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 KLB Mathematics Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 2 | 3 |
Reflection and congruence
|
Congruence
Congruent triangles Congruent triangles The ambiguous case |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 |
|
| 2 | 4 |
Rotation
|
Introduction
Centre of rotation Angle of rotation |
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 | 5 |
Rotation
|
Rotation in the Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 |
|
| 2 | 6 |
Rotation
Similarity and enlargement |
Rotational symmetry of plane figures
Rotational symmetry of solids Rotation and congruence Similar 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 |
|
| 3 | 1-2 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects Linear scale factor Negative scale factor |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures Determine the linear scale factor |
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 100 Discovering secondary pg 54 |
|
| 3 | 3 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area scale factor Area of scale factor Volume 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 Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 3 | 4 |
Similarity and enlargement
Trigonometry |
Volume scale factor
Area and volume scale factor Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Use volume scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 3 | 5 |
Trigonometry
|
Solutions of problems Using Pythagoras Theorem
Application to real life Situation Trigonometry Tangent, sine and cosines |
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 Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 3 | 6 |
Trigonometry
|
Trigonometric Table
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 trigonometric tables to find the sine, cosine and tangent |
Reading trigonometric tables of sines, cosines and tangent
|
Mathematical table
Mathematical table Charts Chalkboard Chalkboards Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 4 | 1-2 |
Trigonometry
|
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90 Application of Trigonometric ratios in solving problems Logarithms of Sines 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:
Relate the three trigonometric ratios, the sine, cosine and tangent Read the logarithms of sines |
Relating the three trigonometric ratios
Solving problems by reading logarithm table of sines |
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 145
KLB BK2 Pg 149 |
|
| 4 | 3 |
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?) 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 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 Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table |
KLB BK2 Pg 153-154
|
|
| 4 | 4 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite Area of other polygons (regular polygon) e.g. Pentagon |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
|
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 161-163
|
|
| 4 | 5 |
Trigonometry
|
Area of irregular Polygon
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 irregular polygons |
Finding the area of irregular polygons
|
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors Chart illustrating a Segment |
KLB BK2 Pg 166
|
|
| 4 | 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 |
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 Models of cylinder, triangular and hexagonal prisms Models of a square based pyramid |
KLB BK 2 Pg 175
|
|
| 5-6 |
Cat 1 exam |
|||||||
| 6 | 5 |
Trigonometry
|
Surface area of a Rectangular based Pyramid
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 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 Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 179-180
|
|
| 6 | 6 |
Trigonometry
|
Finding the surface area of a sphere
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 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 Models of a triangular based prism |
KLB BK 2 Pg 183
|
|
| 7 | 1-2 |
Trigonometry
|
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based) 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) 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 hexagonal based prism Find the volume of a frustrum of a Pyramid |
Calculating the volume of an hexagonal prism
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 hexagonal based prism
Models of square and Rectangular based Pyramids Model of a cone Models of a frustrum of a cone Models of frustrum of a pyramid Model of a sphere Mathematical table Models of hemisphere |
KLB BK 2 Pg 187
KLB BK 2 Pg 194 |
|
| 7 | 3 |
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 | 4 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents The sine of an angle |
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 | 5 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles Special angles |
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
|
|
| 7 | 6 |
Trigonometric Ratios
|
Application of Special angles
Logarithms of sines, cosines and tangents Relationship between sin, cos and tan |
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
|
|
| 8 | 1-2 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle Area of Quadrilaterals |
Application to real life situation
Problem solving Area = Solve problems involving = 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:
apply the knowledge of trigonometry to real life situations solve problems involving area of triangles using the formula Area = |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables Discussions Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables Protractor Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 119-122
KLB Maths Bk2 Pg. 155-157 |
|
| 8 | 3 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 161
|
|
| 8 | 4 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of a sector Area of a segment |
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 Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 165-166
|
|
| 8 | 5 |
Area of Part of a Circle
Surface Area of Solids |
Common region between two circles
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. |
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
|
|
| 8 | 6 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone Surface area of frustrum with circular base |
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 Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 178
|
|
| 9 |
Midterm break |
|||||||
| 10 | 1-2 |
Surface Area of Solids
Surface Area of Solids Volume of Solids Volume of Solids Volume of Solids |
Surface area of frustrum with square base
Surface area of frustrum with rectangular base Surface area of spheres Problem solving Volume of prism Volume of pyramid Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with square base solve problems on surface area of solids |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area Learners solve problems |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base Chalkboard illustrations Past paper questions Prism Pyramid Cone |
KLB Maths Bk2 Pg. 181-183
KLB Maths Bk2 Pg. 183 |
|
| 10 | 3 |
Volume of Solids
|
Volume of a sphere
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 sphere |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions |
Sphere
Frustrum with circular base Frustrum with square base |
KLB Maths Bk2 Pg. 195
|
|
| 10 | 4 |
Volume of Solids
|
Volume of frustrum with a rectangular base
Application to real life situation Problem solving |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a rectangular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres Past paper questions |
KLB Maths Bk2 Pg. 192-193
|
|
| 10 | 5 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic identities Application of identities Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
expand algebraic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 203
|
|
| 10 | 6 |
Quadratic Expressions and Equations
|
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2 Simplification of an expression by factorisation |
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
|
|
| 11 | 1-2 |
Quadratic Expressions and Equations
Quadratic Expressions and Equations Linear Inequalities Linear Inequalities |
Solving quadratic 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 Inequalities symbols Number line |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations solve problems on quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Real-life experiences Worked out expressions Number lines Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 208
KLB Maths Bk2 Pg. 208-210 |
|
| 11 | 3 |
Linear Inequalities
|
Inequalities in one unknown
Graphical representation Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
solve linear inequalities in one unknown and state the integral values |
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
|
|
| 11 | 4 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs |
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
|
|
| 11 | 5 |
Linear Inequalities
Linear Motion Linear Motion Linear Motion |
Problem solving.
Displacement, velocity, speed and acceleration Distinguishing terms Distinguishing velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
solve problems on linear inequalities |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 6 |
Linear Motion
|
Distance time graphs
Interpret the velocity time graph Interpreting graphs Relative speed (objects moving in the same direction) Problem solving |
By the end of the
lesson, the learner
should be able to:
plot and draw the distance time graphs |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs Real life situation Chalkboard illustrations Past paper questions |
KLB Maths Bk2 Pg. 228-238
|
|
| 12-14 |
End term exam and closing |
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