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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Cube and cube roots
|
Cubes
|
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 |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 1 | 2-3 |
Cube and cube roots
Reciprocals Reciprocals Indices and Logarithms Indices and Logarithms |
Use of tables to find cubes
Cube roots using factor method Reciprocal of numbers by division Reciprocal of number from tables Indices Negative indices |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers Find cube roots using factor method Find the reciprocal of number by division Find reciprocal of numbers from the table State the laws of indices Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 KLB Mathematics Book Two Pg 5-6 discovering secondary pg 7 |
|
| 1 | 4 |
Indices and Logarithms
|
Fractional indices
Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the fractional indices Write numbers in logarithms and vice versa |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 9-11 discovering secondary pg 12 |
|
| 1 | 5 |
Indices and 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:
Write standard form of numbers Read from the table logarithms of numbers Find the logarithms of positive numbers less than 1 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 1 | 6 |
Indices and Logarithms
|
Antilogarithms
Applications of logarithms Roots |
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers Use multiplication and division law of indices to find logarithms Use log tables to find roots of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 |
|
| 2 | 1 |
Indices and Logarithms
Gradient and equations of straight lines Gradient and equations of straight lines |
Roots
Gradient Gradient |
By the end of the
lesson, the learner
should be able to:
Find logarithms of root numbers 2 Find gradient of straight line State the type of gradient |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 25 discovering secondary pg21 |
|
| 2 | 2-3 |
Gradient and equations of straight lines
|
Equation of a line
Linear equation y=mx+c The y-intercept The graph of a straight line Perpendicular lines Parallel lines |
By the end of the
lesson, the learner
should be able to:
Find equation of a line passing through two points Find linear equations in the form y=mx+c Find the y-intercept Draw the graph of a straight line Determine the equation of perpendicular lines Determine the equation of parallel lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 34 discovering secondary pg 25 KLB Mathematics Book Pg39-40 discovering secondary pg 29 |
|
| 2 | 4 |
Reflection and congruence
|
Symmetry
Reflection |
By the end of the
lesson, the learner
should be able to:
Find the lines of symmetry of shapes Draw an image under reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 |
|
| 2 | 5 |
Reflection and congruence
|
Some general deductions using reflection
Some general deductions using reflection Congruence |
By the end of the
lesson, the learner
should be able to:
Prove that vertically opposite angles are equal Deduce some general rules of reflection Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 2 | 6 |
Reflection and congruence
|
Congruent triangles
Congruent triangles The ambiguous case |
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles Determine the congruent triangles Determine the two angles that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 3 | 1 |
Rotation
|
Introduction
Centre of rotation Angle of rotation |
By the end of the
lesson, the learner
should be able to:
Draw an image of an object under rotation Determine the center of rotation Determine the angle of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 3 | 2-3 |
Rotation
|
Rotation in the Cartesian plane
Rotation in the Cartesian plane Rotation in the Cartesian plane Rotational symmetry of plane figures Rotational symmetry of solids Rotation and congruence |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the origin Rotate objects about the 90 Rotate objects about the +180 State the order of rotational symmetry Determine the lines of symmetry of solids Determine the relationship between rotation and congruence |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 KLB Mathematics Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 3 | 4 |
Similarity and enlargement
|
Similar figures
Similar figures |
By the end of the
lesson, the learner
should be able to:
Calculate lengths of objects Use ratio to calculate the lengths of similar figures |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 |
|
| 3 | 5 |
Similarity and enlargement
|
Enlargement
Enlarge objects Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Enlarge an object Draw the object and its image under enlargement Determine the linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 3 | 6 |
Similarity and enlargement
|
Linear scale factor
Negative scale factor Positive and negative linear scale factor |
By the end of the
lesson, the learner
should be able to:
Use the linear scale factor to find lengths Find the negative scale factor Solve problems on linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 100-101 Discovering secondary pg 56 |
|
| 4 | 1 |
Similarity and enlargement
|
Area scale factor
Area of scale factor Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the area scale factor Use area scale factor to solve problems Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 106-107 Discovering secondary pg 62 |
|
| 4 | 2-3 |
Similarity and enlargement
Trigonometry |
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 |
By the end of the
lesson, the learner
should be able to:
Use volume scale factor to solve problems Solve problems on area and volume scale factor Derive Pythagoras Theorem Solve problems using Pythagoras Theorem Use the formula A = ?s(s-a)(s-b)(s-c) to solve problems in real life Define tangent, sine and cosine ratios from a right angles triangle |
Defining
Discussions Solving problem Explaining Deriving Pythagoras Theorem Solving problems using Pythagoras theorem Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c) Defining what a tangent, Cosine and sine are using a right angled triangle |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem Mathematical table Charts illustrating tangent, sine and cosine |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 KLB BK2 Pg 121 Discovering secondary pg 67 |
|
| 4 | 4 |
Trigonometry
|
Trigonometric Table
Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Use trigonometric tables to find the sine, cosine and tangent 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 |
Reading trigonometric tables of sines, cosines and tangent
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
Mathematical table Charts Chalkboard |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 4 | 5 |
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 Use the relationship of sine and cosine of complimentary angles in solving problems Relate the three trigonometric ratios, the sine, cosine and tangent |
Using established relationship to solve problems
Solving problems involving the sines and cosines of complimentary angles Relating the three trigonometric ratios |
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 4 | 6 |
Trigonometry
|
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:
Determine the trigonometric ratios of special angles without using tables Solve trigonometric problems without using tables Read the logarithms of sines |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Solving trigonometric problems of special angles Solving problems by reading logarithm table of sines |
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables |
KLB BK2 Pg 146-147
|
|
| 5 | 1 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents Application of trigonometry to real life situations |
By the end of the
lesson, the learner
should be able to:
Read the logarithm of cosines and tangents from mathematical tables Read the logarithms of sines, cosines and tangents from tables Solve problems in real life using trigonometry |
Reading logarithms of cosine and tangent from mathematical table
Solving problems through reading the table of logarithm of sines, cosines and tangents Solving problems using trigonometry in real life |
Chalkboard Mathematical table
Mathematical table |
KLB BK2 Pg 150-152
|
|
| 5 | 2-3 |
Trigonometry
|
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 Area of other polygons (regular polygon) e.g. Pentagon |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle given the base and height - Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium Find the area of a kite Find the area of a regular polygon |
Calculating the area of a triangle given the base and height
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle Solving problems on the area of triangle given three sides of a triangle Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium Calculating the area of a Kite Calculating the area of a regular polygon |
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 Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 155
KLB BK2 Pg 161-163 |
|
| 5 | 4 |
Trigonometry
|
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of irregular polygons - 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 irregular polygons
Finding the area of a minor and a major sector of a circle |
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors |
KLB BK2 Pg 166
|
|
| 5 | 5 |
Trigonometry
|
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:
- Define what a segment of a circle is - Find the area of a segment of a circle Find the area of common region between two circles given the angles ? Education Plus Agencies 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 segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
Calculating the area of a segment Finding the area of a common region between two intersecting |
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 169-170
|
|
| 5 | 6 |
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 |
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 Find the total surface area of a square based pyramid Find the surface area of a rectangular based pyramid |
Defining a prism Calculating the surface area of the prisms
Finding the surface area of a square based pyramid Finding the surface area of a rectangular based pyramid |
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid Models of a Rectangular based pyramid |
KLB BK 2 Pg 177
|
|
| 6 | 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 Find the surface area of a frustrum of a cone and pyramid Find the surface area of a sphere given the radius of a sphere |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Finding the surface area of a frustrum of a cone and a pyramid Finding the surface area of a sphere |
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
|
|
| 6 | 2-3 |
Trigonometry
|
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) Volume of a cone Volume of a frustrum of a cone |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a hemisphere Find the volume of a triangular based prism Find the volume of a hexagonal based prism Find the volume of a square based pyramid and rectangular based pyramid Find the volume of a cone Find the volume of a frustrum of a cone |
Finding the surface area of a hemisphere
Finding the volume of a triangular based prism Calculating the volume of an hexagonal prism 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) Finding the volume 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 hemisphere
Models of a triangular based prism Models of hexagonal based prism Models of square and Rectangular based Pyramids Model of a cone Models of a frustrum of a cone |
KLB BK 2 Pg 184
KLB BK 2 Pg 189-190 |
|
| 6 | 4 |
Trigonometry
|
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 Pyramid Find the volume of sphere given the radius of the sphere |
Finding volume of a full pyramid Finding volume of cutoff pyramid Find volume of the remaining fig (frustrum) by subtracting i.e. Vf = (V ? v)
Finding the volume of a Sphere |
Models of frustrum of a pyramid
Model of a sphere Mathematical table |
KLB BK 2 Pg 194
|
|
| 6 | 5 |
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 Use the knowledge of the area of triangles in solving problems in real life situation 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
Solving problems in real life using the knowledge of the area of triangle 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
|
|
| 6 | 6 |
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 calculate the size of an angle given two sides and an angle from tables workoutfurtherproblemsusingtangents |
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 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the sine of an angle by calculations and through tables findthecosineofananglebycalculationsandthroughtables applysinestoworkoutlengthsandangles.Applycosinetoworkoutlengthandangles |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 2-3 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles Logarithms of sines, cosines and tangents Relationship between sin, cos and tan Application to real life situation |
By the end of the
lesson, the learner
should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa find the sine, cos, and tan of 300,600,450,00,900, without using tables apply the knowledge of special angles to solve problems solve problems using logarithms of sines cosines and tangents relatesin,cosandtanthatistan?=sin? cos? Solveproblemsusingtherelationship applytheknowledgeoftrigonometrytoreallifesituations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables Measuring lengths/angles |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 4 |
Trigonometric Ratios
Area of A Triangle |
Problem solving
Area = |
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry derivetheformulaArea= |
Problem solving
Discussions Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 5 |
Area of A Triangle
|
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 involving area of triangles using the formula Area = find the area of a triangle given the three sides solveproblemsonareaofatrianglegiventhethreesides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 7 | 6 |
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 findtheareaofaregularpolygon. solveproblemsontheareaofaregularpolygon |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 160
|
|
| 8 | 1 |
Area of Quadrilaterals
Area of Part of a Circle |
Area of regular polygons
Problem solving Area of a sector |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon by using the formula A= solve problems on area of quadrilaterals and other polygons findareaofasector |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions Learners solve problems Drawing circles Measuring radii/diameters Measuring angles Calculating the area of a circle |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables Circles Chart illustrating the area of a sector |
KLB Maths Bk2 Pg. 119-122
|
|
| 8 | 2-3 |
Area of Part of a Circle
Area of Part of a Circle Surface Area of Solids Surface Area of Solids |
Area of a segment
Common region between two circles Common region between two circles Problem solving Surface area of prisms Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
find area of a segment find the area of the common region between two circles. find the area of the common region between two circles and solve problems related to that solve problems involving the area of part of a circle find the surface area of a prism. findthesurfaceareaofapyramid |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions Drawing circles Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions Drawing prisms Measuring lengths Opening prisms to form nets Calculating area Drawing pyramids Measuring lengths/ angles Opening pyramids to form nets |
Circles
Chart illustrating the area of a minor segment Circles Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations Pyramids with square base, rectangular base, triangular base |
KLB Maths Bk2 Pg. 167-169
|
|
| 8 | 4 |
Surface Area of Solids
|
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 cone findthesurfaceareaoffrustrumwithcircularbase |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions |
Cone
Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 8 | 5 |
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 findthesurfaceareaoffrustrumwithrectangularbase findthesurfaceareaofasphere |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area Discussions Sketching spheres Making spheres Measuring diameters/ radii of spheres |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base Chalkboard illustrations |
KLB Maths Bk2 Pg. 181-183
|
|
| 8 | 6 |
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 findthevolumeofaprism findthevolumeofapyramid |
Learners solve problems
Identifying prisms Identifying the cross-sectional area Drawing/sketching prisms Drawing pyramids Making pyramids Opening pyramids to form nets Discussions |
Past paper questions
Prism Pyramid |
KLB Maths Bk2 Pg. 183
|
|
| 9 | 1 |
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 findthevolumeofasphere findthevolumeofafrustrumwithacircularbase |
Making cones/frustums
Opening cones/frustums to form nets Identifying spheres Sketching spheres Measuring radii/ diameters Discussions |
Cone
Sphere Frustrum with circular base |
KLB Maths Bk2 Pg. 191
|
|
| 9 | 2-3 |
Volume of Solids
Volume of Solids Quadratic Expressions and Equations Quadratic Expressions and Equations |
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 |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base findthevolumeofafrustrumwitharectangularbase apply the knowledge of volume of solids to real life situations. solve problems on volume of solids expand algebraic expressions derivethethreeAlgebraicidentities |
Making cones/frustums
Opening cones/frustums to form nets Making cones/frustums Opening cones/frustums to form nets Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
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. 192-193
KLB Maths Bk2 Pg. 196 |
|
| 9 | 4 |
Quadratic Expressions and Equations
|
Application of identities
Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
identify and use the three Algebraic identities factorise the identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 204-205
|
|
| 9 | 5 |
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 factorise a difference of two squares simplify a quadratic expression by factorisation |
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 | 6 |
Quadratic Expressions and Equations
|
Solving quadratic equations
The formation of quadratic equations Formation and solving of quadratic equations from word problems |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations form quadratic equations from information 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
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|
| 10 | 1 |
Quadratic Expressions and Equations
Linear Inequalities |
Solving on quadratic equations
Forming quadratic equations from the roots Inequalities symbols |
By the end of the
lesson, the learner
should be able to:
solve problems on quadratic equations form quadratic equations given the roots of the equation identify and use inequality symbols |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises Drawing graphs of inequalities Determining the scale of a graph Shading unwanted regions |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
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| 10 | 2-3 |
Linear Inequalities
|
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:
illustrate inequalities on a number line solve linear inequalities in one unknown and state the integral values represent linear inequalities in one unknown graphically solve the linear inequalities in two unknowns graphically solve simultaneous linear inequalities graphically 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 Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
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|
| 10 | 4 |
Linear Inequalities
|
Inequalities from inequality graphs
Problem solving. |
By the end of the
lesson, the learner
should be able to:
form simple linear inequalities from inequality graphs 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 |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 5 |
Linear Motion
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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 distinguish between distance and displacement, speed and velocity determine velocity and acceleration |
Teacher/pupil discussion
Plotting graphs Drawing graphs Learners determine velocity and acceleration |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 10 | 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 interpret a velocity time graph interpret graphs of linear motion |
Plotting graphs
Drawing graphs Learners interpret a velocity time graph Learners interpret graphs |
Graph papers
Stones Pieces of paper Drawn graphs |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 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 solveproblemsonlinearmotion definestatistics |
Teacher/pupil discussion
Question answer method 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 |
KLB
Maths Bk2 Pg.329 |
|
| 11 | 2-3 |
Statistics
|
Collection and organization of data
Frequency tables Grouped data Mean of ungrouped data Median of ungrouped data Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
collect and organize data draw a frequency distribution table group data into reasonable classes calculate the mean of ungrouped data calculate the median of ungrouped data and state the mode 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 | 4 |
Statistics
|
Median of a grouped data modal class
Data Representation. Line 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. represent data in form of a line 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 |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 5 |
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 represent data in form of pictures represent data in form of histograms |
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 | 6 |
Statistics
|
Frequency polygons
Histograms with uneven distribution Interpretation of data |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons draw histograms with uneven distribution interpret data from real life situation |
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 |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 1 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
Problem solving
Arc chord segment Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
solve problems on statistics identify an arc, chord and segment relateandcomputeanglessubtendedbyanarcofacircleatthecircumference |
Problem solving
Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle Measuring radii/diameters/angles Identifying the parts of a circle |
Past paper questions
Chart illustrating arc chord and segment Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 2-3 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral Cyclic quadrilateral Exterior angle property Problem solving |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference statetheangleinthesemi-circle statetheanglepropertiesofacyclicquadrilateral find and compute angles of a cyclic quadrilateral applytheexteriorangleproperty solveproblemsonanglepropertiesofacircle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts Circles showing the different parts different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 4 |
Angle Properties of a Circle
Vectors |
Problem solving
Definition and Representation 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. define a vector and a scalar, use vector notation and represent vectors. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle Writing position vectors Adding/subtracting numbers Squaring and getting the square root of numbers |
Circles showing the
different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 5 |
Vectors
|
Equivalent vectors
Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors add vectors multiply a vector and a scalar |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
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|
| 12 | 6 |
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:
define a position vector illustrate position vectors on a Cartesian plane writeavectorasacolumnvector find the magnitude of a vector calculate the midpoint of a vector findthetranslationvectorgiventheobjectandtheimage |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg.298
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