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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Trigonometry
|
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
|
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 2 | 2 |
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
|
|
| 2 | 3 |
Trigonometry
|
Trigonometric Table
Angles and sides of a right angled triangle |
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 |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 2 | 4 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles Relationship between tangent, sine and cosine |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles |
Using established relationship to solve problems
|
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 2 | 5-6 |
Trigonometry
|
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 Application of trigonometry to real life situations |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables Read the logarithm of cosines and tangents from mathematical tables |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Reading logarithms of cosine and tangent from mathematical table |
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table Mathematical table |
KLB BK2 Pg 146-147
KLB BK2 Pg 150-152 |
|
| 2 | 7 |
Trigonometry
|
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:
Calculate the are of a triangle given the base and height |
Calculating the area of a triangle given the base and height
|
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 155
|
|
| 3 | 1 |
Trigonometry
|
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:
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 |
KLB BK2 Pg 161-163
|
|
| 3-4 |
Opener EXAMS |
|||||||
| 4 | 3 |
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) |
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 |
KLB BK2 Pg 164
|
|
| 4 | 4 |
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
|
|
| 4 | 5-6 |
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 |
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 |
KLB BK 2 Pg 177
KLB BK 2 Pg 181 |
|
| 4 | 7 |
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
|
|
| 5 | 1 |
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 |
By the end of the
lesson, the learner
should be able to:
Find the volume of a hexagonal based prism |
Calculating the volume of an hexagonal prism
|
Models of hexagonal based prism
Models of square and Rectangular based Pyramids Model of a cone |
KLB BK 2 Pg 187
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
Trigonometry
Trigonometric Ratios |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life 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
|
|
| 5 | 4 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
By the end of the
lesson, the learner
should be able to:
find the tangent of 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 | 5-6 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle 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:
work out further problems using tangents 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
|
|
| 5 | 7 |
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
|
|
| 6 | 1 |
Trigonometric Ratios
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 2 |
Area of A Triangle
|
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) |
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 |
KLB Maths Bk2 Pg. 155-157
|
|
| 6 | 3 |
Area of A Triangle
Area of Quadrilaterals Area of Quadrilaterals |
Problem solving
Area of parallelogram Area of Rhombus |
By the end of the
lesson, the learner
should be able to:
solve problems on area of a triangle given the three sides |
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
|
|
| 6 | 4 |
Area of Quadrilaterals
|
Area of trapezium and kite
Area of regular polygons Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems on 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. 162-163
|
|
| 6 | 5-6 |
Area of Part of a Circle
|
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 area of a sector 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 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 |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 7 |
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
|
|
| 7 | 1 |
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 |
|
| 7-9 |
Cat wo exams break |
|||||||
| 9 | 3 |
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
|
|
| 9 | 4 |
Volume of Solids
|
Volume of pyramid
Volume of a cone |
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 |
KLB Maths Bk2 Pg. 189-190
|
|
| 9 | 5-6 |
Volume of Solids
|
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 |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere find the volume of a frustrum with a rectangular base |
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 |
KLB Maths Bk2 Pg. 195
KLB Maths Bk2 Pg. 192-193 |
|
| 9 | 7 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic identities Application of 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 | 1 |
Quadratic Expressions and Equations
|
Factorise the Identities
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 the 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. 205-208
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
Quadratic Expressions and Equations
|
The formation of quadratic equations
Formation and solving of quadratic equations from word problems Solving on quadratic equations |
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
|
|
| 10 | 4 |
Quadratic Expressions and Equations
Linear Inequalities Linear Inequalities |
Forming quadratic equations from the roots
Inequalities symbols Number line |
By the end of the
lesson, the learner
should be able to:
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 Number lines Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 210
|
|
| 10 | 5-6 |
Linear Inequalities
|
Inequalities in one unknown
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:
solve linear inequalities in one unknown and state the integral values 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 Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 7 |
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
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs Relative speed (objects moving in the same direction) |
By the end of the
lesson, the learner
should be able to:
interpret a velocity time graph |
Learners interpret a velocity time graph
|
Drawn graphs
Real life situation Chalkboard illustrations |
KLB
Maths Bk2 Pg.333 |
|
| 11 | 3 |
Linear Motion
Statistics Statistics |
Problem solving
Definition Collection and organization of data |
By the end of the
lesson, the learner
should be able to:
solve problems on linear motion |
Question answer method
|
Past paper questions
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.330 |
|
| 11 | 4 |
Statistics
|
Frequency tables
Grouped data |
By the end of the
lesson, the learner
should be able to:
draw a frequency distribution table |
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 | 5-6 |
Statistics
|
Mean of ungrouped data
Median of ungrouped data Mean of ungrouped data Median of a grouped data modal class Data Representation. Line graphs Bar graphs |
By the end of the
lesson, the learner
should be able to:
calculate the mean of ungrouped data state the modal class and calculate the median 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
|
|
| 11 | 7 |
Statistics
|
Pictogram
Histograms Frequency polygons |
By the end of the
lesson, the learner
should be able to:
represent data in form of pictures |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Pictures which are whole, half, quarter
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 1 |
Statistics
|
Histograms with uneven distribution
Interpretation of data |
By the end of the
lesson, the learner
should be able to:
draw histograms with uneven distribution |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Data with uneven classes
Real life situations |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 2 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
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:
solve problems on statistics |
Problem solving
|
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
|
|
| 12 | 3 |
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 | 4 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property Problem solving |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 5-6 |
Angle Properties of a Circle
Vectors Vectors |
Problem solving
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:
state all the properties and use them selectively to solve missing angles. add 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 Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
KLB Maths Bk2 Pg. 286-289 |
|
| 12 | 7 |
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
|
|
| 13-14 |
End term exams break |
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