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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opening of term 2 and exams |
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| 2 |
Opener exams |
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| 3 | 1 |
Reflection and congruence
|
Symmetry
|
By the end of the
lesson, the learner
should be able to:
Find the lines of symmetry of shapes |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 |
|
| 3 | 2 |
Reflection and congruence
|
Reflection
Some general deductions using reflection Some general deductions using reflection Congruence |
By the end of the
lesson, the learner
should be able to:
Draw an image under reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 3 | 3 |
Reflection and congruence
Rotation |
Congruent triangles
The ambiguous case Introduction |
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 3 | 4 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 |
|
| 3 | 5 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures Rotational symmetry of solids |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the +180 |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 3 | 6 |
Rotation
Similarity and enlargement Similarity and enlargement Similarity and enlargement |
Rotation and congruence
Similar figures Similar figures Enlargement |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 4 | 1 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor Linear scale factor Negative scale factor |
By the end of the
lesson, the learner
should be able to:
Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 4 | 2 |
Similarity and enlargement
|
Positive and negative linear scale factor
Area scale factor Area of scale factor Volume 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 |
|
| 4 | 3 |
Similarity and enlargement
Trigonometry |
Volume scale factor
Area and volume scale factor Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Use volume scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 4 | 4 |
Trigonometry
|
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:
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
|
|
| 4 | 5 |
Trigonometry
|
Angles and sides of a right angled triangle
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:
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 Charts showing the three related trigonometric ratio |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 4 | 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 |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
|
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 146-147
|
|
| 5 | 1 |
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
|
|
| 5 | 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 Area of a kite |
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 Model of a kite |
KLB BK2 Pg 156
|
|
| 5 | 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) 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 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 Chart illustrating a Segment |
KLB BK2 Pg 164
|
|
| 5 | 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 Area of a square 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 |
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 Models of a square based pyramid |
KLB BK 2 Pg 175
|
|
| 5 | 5 |
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
|
|
| 5 | 6 |
Trigonometry
|
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 |
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 Models of hexagonal based prism |
KLB BK 2 Pg 183
|
|
| 6 | 1 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone Volume of a frustrum of a cone Volume of a frustrum of a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the volume of a square based pyramid and rectangular based pyramid |
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
|
Models of square and Rectangular based Pyramids
Model of a cone Models of a frustrum of a cone Models of frustrum of a pyramid |
KLB BK 2 Pg 189-190
|
|
| 6 | 2 |
Trigonometry
Trigonometric Ratios |
Volume of a sphere (v = 4/3?r3)
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 sphere given the radius of the sphere |
Finding the volume of a Sphere
|
Model of a sphere Mathematical table
Models of hemisphere Mathematical table Chart illustrating formula used Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 195
|
|
| 6 | 3 |
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
|
|
| 6 | 4 |
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
|
|
| 6 | 5 |
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 | 6 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle |
Application to real life situation
Problem solving Area = Solve problems involving = |
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
|
|
| 7 | 1 |
Area of A Triangle
Area of Quadrilaterals |
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:
find the 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
|
|
| 7 | 2 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite 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. |
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
|
|
| 7 | 3 |
Area of Part of a Circle
|
Area of a sector
Area of a segment Common region between two circles 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
|
|
| 7 | 4 |
Area of Part of a Circle
Surface Area of Solids Surface Area of Solids Surface Area of Solids |
Problem solving
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:
solve problems involving the area of part of a circle |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations Pyramids with square base, rectangular base, triangular base Cone |
KLB Maths Bk2 Pg. 167-169
|
|
| 7 | 5 |
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 | 6 |
Surface Area of Solids
Volume of Solids Volume of Solids |
Surface area of spheres
Problem solving Volume of prism Volume of pyramid |
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 Pyramid |
KLB Maths Bk2 Pg. 183
|
|
| 8 |
Midterm exam |
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| 9 |
Midterm break |
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| 10 | 1 |
Volume of Solids
|
Volume of a cone
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 cone |
Making cones/frustums
Opening cones/frustums to form nets |
Cone
Sphere Frustrum with circular base Frustrum with square base |
KLB Maths Bk2 Pg. 191
|
|
| 10 | 2 |
Volume of Solids
Quadratic Expressions and Equations |
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 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 Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 192-193
|
|
| 10 | 3 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities Factorise the Identities |
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 |
KLB Maths Bk2 Pg. 204-205
|
|
| 10 | 4 |
Quadratic Expressions and Equations
|
Factorise other quadratic expressions
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 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
|
|
| 10 | 5 |
Quadratic Expressions and Equations
|
The formation of quadratic 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 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 | 6 |
Linear Inequalities
|
Inequalities symbols
Number line Inequalities in one unknown Graphical representation |
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 Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 1 |
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 the linear inequalities in two unknowns 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 |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 2 |
Linear Inequalities
Linear Motion Linear Motion |
Inequalities from inequality graphs
Problem solving. Displacement, velocity, speed and acceleration Distinguishing terms |
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 | 3 |
Linear Motion
|
Distinguishing velocity and acceleration
Distance time graphs Interpret the velocity time graph Interpreting graphs |
By the end of the
lesson, the learner
should be able to:
determine velocity and acceleration |
Learners determine velocity and acceleration
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 4 |
Linear Motion
Statistics Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition Collection and organization of data |
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 |
|
| 11 | 5 |
Statistics
|
Frequency tables
Grouped data Mean of ungrouped 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 | 6 |
Statistics
|
Median of ungrouped data
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 median of ungrouped data and state the mode |
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
|
|
| 12 |
End term exam |
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| 13 | 1 |
Statistics
|
Bar graphs
Pictogram Histograms Frequency polygons |
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 Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 13 | 2 |
Statistics
Angle Properties of a Circle |
Histograms with uneven distribution
Interpretation of data Problem solving Arc chord segment |
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 Past paper questions Chart illustrating arc chord and segment |
KLB Maths Bk2 Pg. 241-252
|
|
| 13 | 3 |
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 |
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 |
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
|
|
| 13 | 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:
state the angle properties 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
|
|
| 13 | 5 |
Angle Properties of a Circle
Vectors Vectors Vectors |
Problem solving
Definition and Representation of vectors Equivalent vectors Addition 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. |
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
|
|
| 13 | 6 |
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
|
|
| 14 |
End of term and closing |
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