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WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
---|---|---|---|---|---|---|---|---|
2 | 1-2 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem Application to real life Situation Trigonometry Tangent, sine and cosines Trigonometric Table |
By the end of the
lesson, the learner
should be able to:
Derive Pythagoras Theorem Solve problems using Pythagoras Theorem |
Deriving Pythagoras Theorem
Solving problems using Pythagoras theorem |
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem Mathematical table Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 120 Discovering secondary pg 67
KLB BK2 Pg 121 Discovering secondary pg 67 |
|
3 |
Trigonometry
|
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 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 Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
||
4 |
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 |
By the end of the
lesson, the learner
should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent |
Relating the three trigonometric ratios
|
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle Chalkboard Chalkboard Mathematical tables |
KLB BK2 Pg 145
|
||
3 | 1-2 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents 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 |
By the end of the
lesson, the learner
should be able to:
Read the logarithm of cosines and tangents from mathematical tables Calculate the are of a triangle given the base and height |
Reading logarithms of cosine and tangent from mathematical table
Calculating the area of a triangle given the base and height |
Chalkboard Mathematical table
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 |
KLB BK2 Pg 150-152
KLB BK2 Pg 155 |
|
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
|
||
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 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 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 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 167
|
||
4 | 1-2 |
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 Surface area of a Hemispheres |
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 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 |
Defining a prism Calculating the surface area of the prisms
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area |
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 Models of a hemisphere |
KLB BK 2 Pg 177
KLB BK 2 Pg 181 |
|
3 |
Trigonometry
|
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) |
By the end of the
lesson, the learner
should be able to:
Find the volume of a triangular based prism |
Finding the volume of a triangular based prism
|
Models of a triangular based prism
Models of hexagonal based prism Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 186
|
||
4 |
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 |
Finding the volume of a cone
|
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
|
||
5 | 1-2 |
Trigonometry
Trigonometric Ratios |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life Tangent of an angle Tangent of an angle Using tangents in calculations Application of tangents The sine of an angle |
By the end of the
lesson, the learner
should be able to:
Find the volume of a hemisphere find the tangent of an angle from tables |
Working out the volume of a hemisphere
Measuring lengths/angles Dividing numbers Drawing right angles Reading mathematical tables |
Models of hemisphere
Mathematical table Chart illustrating formula used Protractor Ruler Right corners Mathematical tables |
Macmillan BK 2 Pg 173
KLB Maths Bk2 Pg. 119-122 |
|
3 |
Trigonometric Ratios
|
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 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
|
||
4 |
Trigonometric Ratios
|
Special angles
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:
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
|
||
6 | 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 |
|
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
|
||
4 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of a sector Area of a segment Common region between two circles |
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
|
||
7 | 1-2 |
Area of Part of a Circle
Surface Area of Solids |
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:
find the area of the common region between two circles and solve problems related to that find the surface area of a pyramid |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions Drawing pyramids Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area |
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. 167-169
KLB Maths Bk2 Pg. 178 |
|
3 |
Surface Area of Solids
|
Surface area of frustrum with square base
Surface area of frustrum with rectangular base Surface area of spheres Problem solving |
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 |
KLB Maths Bk2 Pg. 181-183
|
||
4 |
Volume of Solids
|
Volume of prism
Volume of pyramid Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a prism |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms |
Prism
Pyramid Cone |
KLB Maths Bk2 Pg. 186-188
|
||
8 | 1-2 |
Volume of Solids
Volume of Solids Quadratic Expressions and Equations |
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 Problem solving Expansion of Algebraic Expressions |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere apply the knowledge of volume of solids to real life situations. |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions Making cones/frustums Opening cones/frustums to form nets |
Sphere
Frustrum with circular base Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 195
KLB Maths Bk2 Pg. 193-194 |
|
3 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities Factorise the Identities Factorise other quadratic expressions |
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 Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 204-205
|
||
4 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation Solving quadratic equations |
By the end of the
lesson, the learner
should be able to:
factorise a difference of two squares |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
||
9 | 1-2 |
Quadratic Expressions and Equations
Linear Inequalities |
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 |
By the end of the
lesson, the learner
should be able to:
form quadratic equations from information identify and use inequality symbols |
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 Negative and positive numbers |
KLB Maths Bk2 Pg. 208
KLB Maths Bk2 Pg. 213-224 |
|
3 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous linear inequalities Graphical solutions of simultaneous linear inequalities Area of the wanted region |
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
|
||
4 |
Linear Inequalities
Linear Motion |
Inequalities from inequality graphs
Problem solving. Displacement, velocity, speed and acceleration |
By the end of the
lesson, the learner
should be able to:
form simple linear inequalities from inequality graphs |
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
|
||
10 | 1-2 |
Linear Motion
|
Distinguishing terms
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:
distinguish between distance and displacement, speed and velocity interpret graphs of linear motion |
Plotting graphs
Drawing graphs Learners interpret graphs |
Graph papers
Stones Pieces of paper Drawn graphs Drawn graphs Real life situation Chalkboard illustrations Past paper questions |
KLB Maths Bk2 Pg. 228-238
KLB Maths Bk2 Pg.334 |
|
3 |
Statistics
|
Definition
Collection and organization of data Frequency tables Grouped 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
|
||
4 |
Statistics
|
Mean of ungrouped data
Median of ungrouped data Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the mean of ungrouped data |
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
|
||
11 | 1-2 |
Statistics
|
Median of a grouped data modal class
Data Representation. Line graphs Bar graphs Pictogram Histograms Frequency polygons Histograms with uneven distribution |
By the end of the
lesson, the learner
should be able to:
state the modal class and calculate the median of a grouped data. represent data in form of histograms |
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 Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Histograms drawn. Data Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
3 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
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:
interpret data from real life situation |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
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
|
||
4 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral |
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 |
KLB Maths Bk2 Pg. 264-278
|
||
12 | 1-2 |
Angle Properties of a Circle
Vectors |
Cyclic quadrilateral
Exterior angle property Problem solving Problem solving Definition and Representation of vectors Equivalent vectors Addition of vectors |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral define a vector and a scalar, use vector notation and represent vectors. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle Writing position vectors Adding/subtracting numbers Squaring and getting the square root of numbers |
Circles showing the
different parts different parts Past paper questions different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
KLB Maths Bk2 Pg. 284-285 |
|
3 |
Vectors
|
Multiplication of vectors
Position vectors Column vector Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar |
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. 290
|
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