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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 |
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 |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 2 | 3 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Define tangent, sine and cosine ratios from a right angles triangle |
Defining what a tangent, Cosine and sine are using a right angled triangle
|
Charts illustrating tangent, sine and cosine
Mathematical table Mathematical table Charts Chalkboard |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 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 |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables Read the logarithms of sines |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Solving problems by reading logarithm table of sines |
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 146-147
KLB BK2 Pg 149 |
|
| 3 | 1 |
Trigonometry
|
Application of trigonometry to real life situations
Area of a triangle Area of a triangle given the base and height (A = ? bh) |
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 |
KLB BK2 Pg 153-154
|
|
| 3 | 2 |
Trigonometry
|
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:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
|
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 156
|
|
| 3 | 3 |
Trigonometry
|
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:
Find the area of a kite |
Calculating the area of a Kite
|
Model of a kite
Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 163
|
|
| 3 | 4 |
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 | 5-6 |
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 Surface area of a Rectangular 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 Find the total surface area of a square based pyramid |
Calculating the area of a segment
Finding the surface area of a square based pyramid |
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 Models of a Rectangular based pyramid |
KLB BK 2 Pg 175
KLB BK 2 Pg 178 |
|
| 4 | 1 |
Trigonometry
|
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:
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 |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
|
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 181
|
|
| 4 | 2 |
Trigonometry
|
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 hemisphere |
Finding the surface area of a hemisphere
|
Models of a hemisphere
Models of a triangular based prism |
KLB BK 2 Pg 184
|
|
| 4 | 3 |
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
|
|
| 4 | 4 |
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 | 5-6 |
Trigonometry
Trigonometric Ratios |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life Tangent of an angle Using tangents in calculations |
By the end of the
lesson, the learner
should be able to:
Find the volume of a hemisphere name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation |
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 |
|
| 5 | 1 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle |
By the end of the
lesson, the learner
should be able to:
work out further problems using tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
Trigonometric Ratios
|
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 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 | 4 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation |
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 | 5-6 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle |
Problem solving
Area = 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 on trigonometry find the area of a triangle given the three sides |
Problem solving
Discussions Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
KLB Maths Bk2 Pg. 155-157 |
|
| 6 | 1 |
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 | 2 |
Area of Quadrilaterals
|
Area of regular polygons
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= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 3 |
Area of Part of a Circle
|
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:
find area of a sector |
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 |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 4 |
Area of Part of a Circle
Surface Area of Solids |
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 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 minor segment Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 5-6 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone 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 a pyramid find the surface area of frustrum with circular base |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area Drawing cones/frustums Making cones/frustums Measuring lengths/ angles Discussions |
Pyramids with square base, rectangular base, triangular base
Cone 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. 178
KLB Maths Bk2 Pg. 181-283 KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 7 | 1 |
Surface Area of Solids
|
Surface area of spheres
Problem solving |
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 |
KLB Maths Bk2 Pg. 183
|
|
| 7 | 2 |
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
|
|
| 7 | 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
|
|
| 7 | 4 |
Volume of Solids
|
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 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 |
KLB Maths Bk2 Pg. 192-193
|
|
| 7 | 5-6 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities Application of identities Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids identify and use the three Algebraic identities |
Making cones/frustums
Opening cones/frustums to form nets Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Past paper questions
Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 196
KLB Maths Bk2 Pg. 204-205 |
|
| 8 | 1 |
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
|
|
| 8 | 2 |
Quadratic Expressions and Equations
|
Solving quadratic equations
The formation of quadratic equations |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
| 8 | 3 |
Quadratic Expressions and Equations
|
Formation and solving of quadratic equations from word problems
Solving on quadratic equations Forming quadratic equations from the roots |
By the end of the
lesson, the learner
should be able to:
form and solve quadratic equations from word problems |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208-210
|
|
| 8 | 4 |
Linear Inequalities
|
Inequalities symbols
Number line Inequalities in one unknown |
By the end of the
lesson, the learner
should be able to:
identify and use inequality symbols |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 8 | 5-6 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous 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:
represent linear inequalities in one unknown graphically 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 Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 9 |
Midterm |
|||||||
| 10 | 1 |
Linear Inequalities
Linear Motion |
Problem solving.
Displacement, velocity, speed 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
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
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 |
|
| 10 | 4 |
Linear Motion
Statistics |
Problem solving
Definition |
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 |
|
| 10 | 5-6 |
Statistics
|
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:
collect and organize data 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 |
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
|
|
| 11 | 2 |
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 | 3 |
Statistics
|
Frequency polygons
Histograms with uneven distribution |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 4 |
Statistics
Angle Properties of a Circle |
Interpretation of data
Problem solving Arc chord 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 |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 5-6 |
Angle Properties of a Circle
|
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference Angles subtended by the diameter at the circumference Cyclic quadrilateral Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
relate and compute angles subtended by an arc of a circle at the circumference state the angle in the semi-circle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
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 Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 1 |
Angle Properties of a Circle
|
Exterior angle property
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 |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 2 |
Angle Properties of a Circle
Vectors Vectors |
Problem solving
Definition and Representation of vectors Equivalent 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
|
|
| 12 | 3 |
Vectors
|
Addition of vectors
Multiplication of vectors Position vectors |
By the end of the
lesson, the learner
should be able to:
add 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. 286-289
|
|
| 12 | 4 |
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
|
|
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