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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
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
|
|
| 2 | 2-3 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines 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 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:
Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life Relate the three trigonometric ratios, the sine, cosine and tangent |
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c)
Relating the three trigonometric ratios |
Mathematical table
Charts illustrating tangent, sine and cosine Mathematical table Charts Chalkboard 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 Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 159 Discovering secondary pg 67
KLB BK2 Pg 145 |
|
| 2 | 4 |
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) 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:
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 Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 153-154
|
|
| 2 | 5 |
Trigonometry
|
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) 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:
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 Charts illustrating sectors 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 164
|
|
| 3 | 1 |
Trigonometry
|
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid 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 Finding the surface area of a sphere |
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 Models of a Rectangular based pyramid Models of a cone 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 177
|
|
| 3 | 2-3 |
Trigonometry
Trigonometry Trigonometric Ratios Trigonometric Ratios |
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 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)} 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:
Find the surface area of a hemisphere Find the volume of a frustrum of a Pyramid |
Finding the surface area of a hemisphere
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 hemisphere
Models of a triangular based prism 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 Mathematical table Chart illustrating formula used Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 184
KLB BK 2 Pg 194 |
|
| 3 | 4 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents 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:
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
|
|
| 3 | 5 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents Relationship between sin, cos and tan Application to real life situation Problem solving |
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
|
|
| 4 | 1 |
Area of A Triangle
Area of Quadrilaterals Area of Quadrilaterals |
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) Problem solving Area of parallelogram Area of Rhombus |
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 Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 4 | 2-3 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle Surface Area of Solids Surface Area of Solids Surface Area of Solids Surface Area of Solids |
Area of trapezium and kite
Area of regular polygons Problem solving Area of a sector Area of a segment Common region between two circles Common region between two circles Problem solving Surface area of prisms 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:
solve problems on the area of a regular polygon find the area of the common region between two circles and solve problems related to that |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions Drawing circles Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations Circles Chart illustrating the area of a sector Chart illustrating the area of a minor segment Circles Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations Pyramids with square base, rectangular base, triangular base Cone Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 162-163
KLB Maths Bk2 Pg. 167-169 |
|
| 4 | 4 |
Surface Area 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 |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with square base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base Chalkboard illustrations Past paper questions Prism Pyramid |
KLB Maths Bk2 Pg. 181-183
|
|
| 4 | 5 |
Volume of Solids
|
Volume of a cone
Volume of a sphere Volume of frustrum Volume of frustrum with a square base Volume of frustrum with a rectangular base Application to real life situation |
By the end of the
lesson, the learner
should be able to:
find the volume of a cone |
Making cones/frustums
Opening cones/frustums to form nets |
Cone
Sphere Frustrum with circular base Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 191
|
|
| 5 | 1 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities Application of identities Factorise the Identities Factorise other quadratic expressions |
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Past paper questions
Real-life experiences Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 196
|
|
| 5 | 2-3 |
Quadratic Expressions and Equations
Quadratic Expressions and Equations Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities |
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation 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 Inequalities in one unknown Graphical representation Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
factorise a difference of two squares form quadratic equations given the roots of the equation |
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 Number lines Graph papers |
KLB Maths Bk2 Pg. 205-208
KLB Maths Bk2 Pg. 210 |
|
| 5 | 4 |
Linear Inequalities
Linear Motion Linear Motion |
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs Problem solving. Displacement, velocity, speed and acceleration Distinguishing terms |
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 Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 5 | 5 |
Linear Motion
|
Distinguishing velocity and acceleration
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:
determine velocity and acceleration |
Learners determine velocity and acceleration
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
|
|
| 6 | 1 |
Statistics
|
Definition
Collection and organization of data Frequency tables Grouped data Mean of ungrouped data Median of ungrouped data |
By the end of the
lesson, the learner
should be able to:
define statistics |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 6 | 2-3 |
Statistics
Statistics Angle Properties of a Circle Angle Properties of a Circle |
Mean of ungrouped data
Median of a grouped data modal class Data Representation. Line graphs Bar graphs Pictogram Histograms Frequency polygons Histograms with uneven distribution Interpretation of data Problem solving Arc chord segment Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
calculate the mean of a grouped data represent data in form of frequency polygons |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Pictures which are whole, half, quarter Histograms drawn. Data Data with uneven classes Real life situations Past paper questions Chart illustrating arc chord and segment Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 241-252
|
|
| 6 | 4 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral Cyclic quadrilateral Exterior angle property Problem solving |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 6 | 5 |
Angle Properties of a Circle
Vectors Vectors Vectors Vectors Vectors |
Problem solving
Definition and Representation of vectors Equivalent vectors Addition of vectors Multiplication of vectors Position vectors |
By the end of the
lesson, the learner
should be able to:
state all the properties and use them selectively to solve missing angles. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 7 |
Exams |
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| 8 | 1 |
Vectors
|
Column vector
Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 296-297
|
|
| 9 |
Marking exams and closing |
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