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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 5 | 2-3 |
Cube and cube roots
Reciprocals Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms |
Cubes
Use of tables to find cubes Cube roots using factor method Reciprocal of numbers by division Reciprocal of number from tables Indices Negative indices Fractional indices Logarithms Standard form Powers of 10 and common logarithms |
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers Find the reciprocal of number by division |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus Apparatus Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 KLB Mathematics Book Two Pg 5 discovering secondary pg 7 |
|
| 5 | 4 |
Indices and Logarithms
Gradient and equations of straight lines Gradient and equations of straight lines Gradient and equations of straight lines |
Logarithms of positive numbers less than 1
Antilogarithms Applications of logarithms Roots Roots Gradient Gradient Equation of a line |
By the end of the
lesson, the learner
should be able to:
Find the logarithms of positive numbers less than 1 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 18 discovering secondary pg 15 |
|
| 5 | 5 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence Reflection and congruence |
Linear equation y=mx+c
The y-intercept The graph of a straight line Perpendicular lines Parallel lines Symmetry Reflection Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Find linear equations in the form y=mx+c |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 6 | 1 |
Reflection and congruence
Rotation Rotation Rotation |
Some general deductions using reflection
Congruence Congruent triangles Congruent triangles The ambiguous case Introduction Centre of rotation Angle of rotation |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 6 |
Half term |
|||||||
| 6 | 5 |
Rotation
Similarity and enlargement Similarity and enlargement |
Rotation in the Cartesian plane
Rotational symmetry of plane figures Rotational symmetry of solids Rotation and congruence Similar figures Similar figures |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 |
|
| 7 | 1 |
Similarity and enlargement
|
Enlargement
Enlarge objects Linear scale factor Linear scale factor Negative scale factor Positive and negative linear scale factor Area scale factor |
By the end of the
lesson, the learner
should be able to:
Enlarge an object |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 7 | 2-3 |
Similarity and enlargement
Trigonometry Trigonometry Trigonometry Trigonometry |
Area of scale factor
Volume scale factor Volume scale factor Area and volume scale factor Pythagoras Theorem Solutions of problems Using Pythagoras Theorem Application to real life Situation Trigonometry Tangent, sine and cosines Trigonometric Table Angles and sides of a right angled triangle Establishing Relationship of sine and cosine of complimentary angles Sines and cosines of Complimentary angles Relationship between tangent, sine and cosine Trigonometric ratios of special angles 30, 45, 60 and 90 Application of Trigonometric ratios in solving problems Logarithms of Sines |
By the end of the
lesson, the learner
should be able to:
Use area scale factor to solve problems Use trigonometric tables to find the sine, cosine and tangent |
Defining
Discussions Solving problem Explaining Reading trigonometric tables of sines, cosines and tangent |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem Mathematical table Charts illustrating tangent, sine and cosine Mathematical table Mathematical table Charts Chalkboard 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 Chalkboard Chalkboard Mathematical tables |
KLB Mathematics
Book Two Pg 108 Discovering secondary pg 64 KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71 |
|
| 7 | 4 |
Trigonometry
|
Logarithms of cosines And tangents
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) 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:
Read the logarithm of cosines and tangents from mathematical tables |
Reading logarithms of cosine and tangent from mathematical table
|
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard Charts illustrating a triangle with two sides and an included angle Charts showing derived formula Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 150-152
|
|
| 7 | 5 |
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 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 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 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 BK2 Pg 164
|
|
| 8 | 1 |
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 Finding the surface area of a sphere Surface area of a Hemispheres Volume of Solids Volume of prism (triangular based prism) Volume of prism (hexagonal based prism) given the sides and angle Volume of a pyramid (square based and rectangular based) |
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 Models of a sphere Charts illustrating formula for finding the surface area of a sphere Models of a hemisphere Models of a triangular based prism Models of hexagonal based prism Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 179-180
|
|
| 8 | 2-3 |
Trigonometry
Trigonometric Ratios Trigonometric Ratios |
Volume of a cone
Volume of a frustrum of a cone Volume of a frustrum of a pyramid 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 Tangent of an angle Using tangents in calculations 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:
Find the volume of a cone calculate the size of an angle given two sides and an angle from tables |
Finding the volume of a cone
Measuring lengths/angles Dividing numbers Drawing right angles Reading mathematical tables |
Model of a cone
Models of a frustrum of a cone Models of frustrum of a pyramid 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 191
KLB Maths Bk2 Pg. 119-122 |
|
| 8 | 4 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle Area of A Triangle |
Application of Special angles
Logarithms of sines, cosines and tangents Relationship between sin, cos and tan Application to real life situation Problem solving Area = Solve problems involving = A =?s(s-a) (s-b) (s-c) |
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
|
|
| 8 | 5 |
Area of A Triangle
Area of Quadrilaterals Area of Quadrilaterals Area of Quadrilaterals Area of Quadrilaterals Area of Quadrilaterals Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of parallelogram Area of Rhombus Area of trapezium and kite Area of regular polygons Problem solving Area of a sector Area of a segment |
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 Mathematical tables Chalkboard illustrations Circles Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 155-157
|
|
| 9 | 1 |
Area of Part of a Circle
Surface Area of Solids Surface Area of Solids Surface Area of Solids Surface Area of Solids Surface Area of Solids |
Common region between two circles
Common region between two circles Problem solving Surface area of prisms Surface area of pyramid Surface area of a cone Surface area of frustrum with circular base Surface area of frustrum with square base |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. |
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 Pyramids with square base, rectangular base, triangular base Cone Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 167-169
|
|
| 9 | 2-3 |
Surface Area of Solids
Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations |
Surface area of frustrum with rectangular base
Surface area of spheres Problem solving Volume of prism Volume of pyramid Volume of a cone Volume of a sphere Volume of frustrum Volume of frustrum with a square base Volume of frustrum with a rectangular base Application to real life situation 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:
find the surface area of frustrum with rectangular base find the volume of a frustrum with a square base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Making cones/frustums Opening cones/frustums to form nets |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations Past paper questions Prism Pyramid Cone Sphere Frustrum with circular base Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 181-183
KLB Maths Bk2 Pg. 192-193 |
|
| 9 | 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 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:
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
|
|
| 9 | 5 |
Quadratic Expressions and Equations
Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities |
Forming quadratic equations from the roots
Inequalities symbols Number line 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:
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 Number lines Graph papers |
KLB Maths Bk2 Pg. 210
|
|
| 10 | 1 |
Linear Inequalities
Linear Motion Linear Motion Linear Motion Linear Motion Linear Motion Linear Motion |
Inequalities from inequality graphs
Problem solving. Displacement, velocity, speed and acceleration Distinguishing terms 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:
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 Drawn graphs |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 2-3 |
Linear Motion
Statistics Statistics Statistics Statistics Statistics Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition Collection and organization of data Frequency tables Grouped data 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 Pictogram Histograms Frequency polygons Histograms with uneven distribution |
By the end of the
lesson, the learner
should be able to:
solve problems on objects moving in different directions calculate the mean of a grouped data |
Teacher/pupil discussion
Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Real life situation
Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Pictures which are whole, half, quarter Histograms drawn. Data Data with uneven classes |
KLB
Maths Bk2 Pg.329 KLB Maths Bk2 Pg. 241-252 |
|
| 10 | 4 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle Angle Properties of a Circle Angle Properties of a Circle Angle Properties of a Circle Angle Properties of a Circle |
Interpretation of data
Problem solving Arc chord segment Angles subtended by the same arc in the same segment Angle at the centre and at the circumference Angles subtended by the diameter at the circumference Cyclic quadrilateral Cyclic quadrilateral |
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 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. 241-252
|
|
| 10 | 5 |
Angle Properties of a Circle
Vectors Vectors Vectors Vectors Vectors Vectors Vectors Vectors Vectors |
Exterior angle property
Problem solving Problem solving Definition and Representation of vectors Equivalent vectors Addition of 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:
apply the exterior angle property |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
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