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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 7 | 6 |
Cube and cube roots
Reciprocals |
Cubes
Use of tables to find cubes Cube roots using factor method Reciprocal of numbers by division |
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 8 | 1 |
Reciprocals
Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms Indices and Logarithms |
Reciprocal of number from tables
Indices Negative indices Fractional indices Logarithms Standard form Powers of 10 and common logarithms Logarithms of positive numbers less than 1 |
By the end of the
lesson, the learner
should be able to:
Find reciprocal of numbers from the table |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 5-6 discovering secondary pg 7 |
|
| 8 | 2 |
Indices and Logarithms
Gradient and equations of straight lines Gradient and equations of straight lines Gradient and equations of straight lines Gradient and equations of straight lines Gradient and equations of straight lines |
Antilogarithms
Applications of logarithms Roots Roots Gradient Gradient Equation of a line Linear equation y=mx+c The y-intercept |
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 |
|
| 8 | 3 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence Reflection and congruence Reflection and congruence Reflection and congruence |
The graph of a straight line
Perpendicular lines Parallel lines Symmetry 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 the graph of a straight line |
|
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 8 | 4 |
Reflection and congruence
Rotation Rotation Rotation Rotation Rotation Rotation |
Congruent triangles
The ambiguous case Introduction Centre of rotation Angle of rotation Rotation in the Cartesian plane Rotation in the Cartesian plane Rotation in the Cartesian plane |
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 Sets |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 8 | 5 |
Rotation
Similarity and enlargement Similarity and enlargement Similarity and enlargement Similarity and enlargement Similarity and enlargement |
Rotational symmetry of plane figures
Rotational symmetry of solids Rotation and congruence Similar figures Similar figures Enlargement Enlarge objects Linear scale factor |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 8-9 |
Half term break/ end of term 2 |
|||||||
| 10 | 1 |
Similarity and enlargement
Trigonometry |
Linear scale factor
Negative scale factor Positive and negative linear scale factor Area scale factor Area of scale factor Volume scale factor Volume scale factor Area and volume scale factor Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Use the linear scale factor to find lengths |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 100-101 Discovering secondary pg 56 |
|
| 10 | 2 |
Trigonometry
|
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 |
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 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 121 Discovering secondary pg 67
|
|
| 10 | 3 |
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 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:
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 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 |
KLB BK2 Pg 146-147
|
|
| 10 | 4 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite 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 |
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 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 |
KLB BK2 Pg 161-163
|
|
| 10 | 5 |
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 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:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Defining a prism Calculating the surface area of the prisms
|
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 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 177
|
|
| 10 | 6 |
Trigonometry
Trigonometric Ratios |
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 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 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 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 189-190
|
|
| 11 | 1 |
Trigonometric Ratios
|
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 Application of Special angles |
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
|
|
| 11 | 2 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle Area of A Triangle Area of A Triangle |
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) Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems using logarithms of sines cosines and tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 3 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle |
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 Common region between two circles Common region between two circles |
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 Mathematical tables Chalkboard illustrations Circles Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 160
|
|
| 11 | 4 |
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 Surface Area of Solids Surface Area of Solids |
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 Surface area of frustrum with rectangular base Surface area of spheres |
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 Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base Chart illustrating frustrum with a rectangular base Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 11 | 5 |
Surface Area of Solids
Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids Volume of Solids |
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 |
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 Cone Sphere Frustrum with circular base Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 183
|
|
| 11 | 6 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities Application of identities Factorise the Identities 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:
solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Past paper questions
Real-life experiences Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 196
|
|
| 12 | 1 |
Quadratic Expressions and Equations
Linear Inequalities Linear Inequalities Linear Inequalities Linear Inequalities |
Solving quadratic 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 Inequalities symbols Number line Inequalities in one unknown Graphical representation |
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 Number lines Graph papers Square boards Negative and positive numbers Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 208
|
|
| 12 | 2 |
Linear Inequalities
Linear Motion Linear Motion Linear Motion |
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs Problem solving. Displacement, velocity, speed and acceleration Distinguishing terms Distinguishing velocity and acceleration |
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 Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 12 | 3 |
Linear Motion
Statistics Statistics Statistics Statistics |
Distance time graphs
Interpret the velocity time graph Interpreting graphs Relative speed (objects moving in the same direction) Problem solving Definition Collection and organization of data Frequency tables Grouped data |
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 Real life situation Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length |
KLB Maths Bk2 Pg. 228-238
|
|
| 12 | 4 |
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 Pictogram Histograms |
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 Pictures which are whole, half, quarter |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 5 |
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 |
Frequency polygons
Histograms with uneven distribution 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 |
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 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
|
|
| 12 | 6 |
Angle Properties of a Circle
Vectors Vectors Vectors Vectors Vectors Vectors Vectors Vectors Vectors |
Cyclic quadrilateral
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:
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 different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
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