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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 |
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 |
|
| 2 | 3 |
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
|
|
| 2 | 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 |
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 |
KLB BK2 Pg 145
|
|
| 2 | 5 |
Trigonometry
|
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:
Read the logarithms of sines |
Solving problems by reading logarithm table of sines
|
Chalkboard Mathematical tables
Chalkboard Mathematical table |
KLB BK2 Pg 149
|
|
| 3 | 1-2 |
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 Area of other polygons (regular polygon) e.g. Pentagon |
By the end of the
lesson, the learner
should be able to:
Solve problems in real life using trigonometry Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) |
Solving problems using trigonometry in real life
Solving problems on the area of triangle given three sides of a triangle |
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 Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 153-154
KLB BK2 Pg 157-158 |
|
| 3 | 3 |
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
|
|
| 3 | 4 |
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 |
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 |
KLB BK 2 Pg 175
|
|
| 3 | 5 |
Trigonometry
|
Area of a square based Pyramid
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 total surface area of a square based pyramid |
Finding the surface area of a square based pyramid
|
Models of a square based pyramid
Models of a Rectangular based pyramid Models of a cone |
KLB BK 2 Pg 178
|
|
| 4 | 1-2 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere 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 frustrum of a cone and pyramid Find the volume of a hexagonal based prism |
Finding the surface area of a frustrum of a cone and a pyramid
Calculating the volume of an hexagonal prism |
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 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 182
KLB BK 2 Pg 187 |
|
| 4 | 3 |
Trigonometry
|
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 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 Model of a sphere Mathematical table |
KLB BK 2 Pg 192
|
|
| 4 | 4 |
Trigonometry
Trigonometric Ratios 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 |
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 Protractor Ruler Right corners Mathematical tables |
Macmillan BK 2 Pg 173
|
|
| 4 | 5 |
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
|
|
| 5 | 1-2 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles 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 cosine of an angle by calculations and through tables 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
|
|
| 5 | 3 |
Trigonometric Ratios
Area of A Triangle |
Relationship between sin, cos and tan
Application to real life situation Problem solving Area = |
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
|
|
| 5 | 4 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) Problem solving |
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
|
|
| 5 | 5 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus Area of trapezium and kite |
By the end of the
lesson, the learner
should be able to:
find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 160
|
|
| 6 | 1-2 |
Area of Quadrilaterals
Area of Part of a Circle |
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 |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon by using the formula A= find area of a segment |
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 Chalkboard illustrations Mathematical tables Circles Chart illustrating the area of a sector Circles Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations |
KLB Maths Bk2 Pg. 119-122
KLB Maths Bk2 Pg. 167-169 |
|
| 6 | 3 |
Surface Area of Solids
|
Surface area of prisms
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 prism. |
Drawing prisms
Measuring lengths Opening prisms to form nets Discussions Calculating area |
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base Cone |
KLB Maths Bk2 Pg. 177
|
|
| 6 | 4 |
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 |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with circular 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 |
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 6 | 5 |
Surface Area of Solids
Volume of Solids |
Surface area of spheres
Problem solving Volume of prism |
By the end of the
lesson, the learner
should be able to:
find the surface area of a sphere |
Sketching spheres
Making spheres Measuring diameters/ radii of spheres Discussions |
Chalkboard illustrations
Past paper questions Prism |
KLB Maths Bk2 Pg. 183
|
|
| 7 | 1-2 |
Volume of Solids
|
Volume of pyramid
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 pyramid find the volume of a frustrum with a square base |
Drawing pyramids
Making pyramids Opening pyramids to form nets Discussions Making cones/frustums Opening cones/frustums to form nets |
Pyramid
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. 189-190
KLB Maths Bk2 Pg. 192-193 |
|
| 7 | 3 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities |
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 |
KLB Maths Bk2 Pg. 196
|
|
| 7 | 4 |
Quadratic Expressions and Equations
|
Application of identities
Factorise the Identities Factorise other quadratic expressions |
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 Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 204-205
|
|
| 7 | 5 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation Solving quadratic equations The formation of 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
|
|
| 8 | 1-2 |
Quadratic Expressions and Equations
Linear Inequalities |
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 and solve quadratic equations from word problems 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. 208-210
KLB Maths Bk2 Pg. 213-224 |
|
| 8 | 3 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous linear inequalities 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
|
|
| 8 | 4 |
Linear Inequalities
Linear Motion |
Area of the wanted region
Inequalities from inequality graphs Problem solving. Displacement, velocity, speed and acceleration |
By the end of the
lesson, the learner
should be able to:
calculate the area of the wanted region |
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
|
|
| 8 | 5 |
Linear Motion
|
Distinguishing terms
Distinguishing velocity and acceleration Distance time graphs |
By the end of the
lesson, the learner
should be able to:
distinguish between distance and displacement, speed and velocity |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 9 |
Midterm break |
|||||||
| 10 | 1-2 |
Linear Motion
Linear Motion Statistics Statistics Statistics |
Interpret the velocity time graph
Interpreting graphs Relative speed (objects moving in the same direction) Problem solving Definition Collection and organization of data Frequency tables |
By the end of the
lesson, the learner
should be able to:
interpret a velocity time graph solve problems on linear motion |
Learners interpret a velocity time graph
Question answer method |
Drawn graphs
Real life situation Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.333 KLB Maths Bk2 Pg.330 |
|
| 10 | 3 |
Statistics
|
Grouped data
Mean of ungrouped data Median of ungrouped data |
By the end of the
lesson, the learner
should be able to:
group data into reasonable classes |
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
|
|
| 10 | 4 |
Statistics
|
Mean of ungrouped data
Median of a grouped data modal class Data Representation. Line graphs |
By the end of the
lesson, the learner
should be able to:
calculate the mean of a grouped 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
|
|
| 10 | 5 |
Statistics
|
Bar graphs
Pictogram Histograms |
By the end of the
lesson, the learner
should be able to:
represent data in form of a bar graph |
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 |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 1-2 |
Statistics
Angle Properties of a Circle |
Frequency polygons
Histograms with uneven distribution Interpretation of data Problem solving Arc chord segment Angles subtended by the same arc in the same segment Angle at the centre and at the circumference |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons identify an arc, chord and segment |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle |
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 Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference |
KLB Maths Bk2 Pg. 241-252
KLB Maths Bk2 Pg. 264-278 |
|
| 11 | 3 |
Angle Properties of a Circle
|
Angles subtended by the diameter at the circumference
Cyclic quadrilateral Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle in the semi-circle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 4 |
Angle Properties of a Circle
|
Exterior angle property
Problem solving Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the exterior angle property |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 5 |
Vectors
|
Definition and Representation of vectors
Equivalent vectors Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. |
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. 284-285
|
|
| 12 | 1 |
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:
define a position vector illustrate position vectors on a Cartesian plane |
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.298
|
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