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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Similarity and enlargement
|
Similar figures
|
By the end of the
lesson, the learner
should be able to:
Calculate lengths of objects |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
| 2 | 2 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 2 | 3 |
Similarity and enlargement
|
Linear scale factor
Negative scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 2 | 4 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area scale factor Area of scale factor |
By the end of the
lesson, the learner
should be able to:
Solve problems on linear scale factor |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 105-106 Discovering secondary pg 60 |
|
| 2 | 5 |
Similarity and enlargement
|
Volume scale factor
Area and volume scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 |
|
| 2 | 6 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem Application to real life Situation |
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 Mathematical table |
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 3 | 1 |
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
|
|
| 3 | 2 |
Trigonometry
|
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 |
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 Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 3 | 3 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables |
Solving trigonometric problems of special angles
|
Chalkboard
Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 148
|
|
| 3 | 4 |
Trigonometry
|
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) |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines, cosines and tangents from tables |
Solving problems through reading the table of logarithm of sines, cosines and tangents
|
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 149-152
|
|
| 3 | 5 |
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 | 6 |
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 | 1 |
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 |
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 |
KLB BK 2 Pg 167
|
|
| 4 | 2 |
Trigonometry
|
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 |
By the end of the
lesson, the learner
should be able to:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles |
Finding the area of a common region between two intersecting
|
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms Models of a square based pyramid |
KLB BK 2 Pg 176
|
|
| 4 | 3 |
Trigonometry
|
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:
Find the surface area of a rectangular based pyramid |
Finding the surface area of a rectangular 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 179-180
|
|
| 4 | 4 |
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
|
|
| 4 | 5 |
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 | 6 |
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 | 1 |
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 | 2 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations Application of tangents |
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 | 3 |
Trigonometric Ratios
|
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:
find the sine 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 | 4 |
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 | 5 |
Trigonometric Ratios
|
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:
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 | 6 |
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 | 1 |
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 | 2 |
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 | 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 |
Surface Area of Solids
|
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 surface area of a pyramid |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 178
|
|
| 6 | 6 |
Surface Area of Solids
|
Surface area of frustrum with square base
Surface area of frustrum with rectangular base Surface area of spheres |
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 |
KLB Maths Bk2 Pg. 181-183
|
|
| 7 | 1 |
Surface Area of Solids
Volume of Solids Volume of Solids |
Problem solving
Volume of prism Volume of pyramid |
By the end of the
lesson, the learner
should be able to:
solve problems on surface area of solids |
Learners solve problems
|
Past paper questions
Prism Pyramid |
KLB Maths Bk2 Pg. 183
|
|
| 7 | 2 |
Volume of Solids
|
Volume of a cone
Volume of a sphere Volume of frustrum |
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 |
KLB Maths Bk2 Pg. 191
|
|
| 7 | 3 |
Volume of Solids
|
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 frustrum with a square base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 7 | 4 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities Application of 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 | 5 |
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
|
|
| 7 | 6 |
Quadratic Expressions and Equations
|
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:
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
|
|
| 8 |
MIDTERM EXAMS |
|||||||
| 9 | 1 |
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
|
|
| 9 | 2 |
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
|
|
| 9 | 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
|
|
| 9 | 4 |
Linear Inequalities
|
Area of the wanted region
Inequalities from inequality graphs Problem solving. |
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 |
KLB Maths Bk2 Pg. 213-224
|
|
| 9 | 5 |
Linear Motion
|
Displacement, velocity, speed and acceleration
Distinguishing terms Distinguishing velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
Define displacement, speed velocity and acceleration |
Teacher/pupil discussion
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 9 | 6 |
Linear Motion
|
Distance time graphs
Interpret the velocity time graph Interpreting graphs |
By the end of the
lesson, the learner
should be able to:
plot and draw the distance time graphs |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs |
KLB Maths Bk2 Pg. 228-238
|
|
| 10 | 1 |
Linear Motion
Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on objects moving in different directions |
Teacher/pupil discussion
|
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.329 |
|
| 10 | 2 |
Statistics
|
Collection and organization of data
Frequency tables Grouped data |
By the end of the
lesson, the learner
should be able to:
collect and organize 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 | 3 |
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
|
|
| 10 | 4 |
Statistics
|
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:
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
|
|
| 10 | 5 |
Statistics
|
Pictogram
Histograms Frequency polygons Histograms with uneven distribution |
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 Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
| 10 | 6 |
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
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| 11-12 |
END TERM EXAMS |
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