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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Opener exams |
|||||||
| 1 | 8 |
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 |
|
| 2 | 1 |
Reflection and congruence
|
Reflection
Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Draw an image under reflection Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 2 | 2 |
Reflection and congruence
|
Some general deductions using reflection
Congruence |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection Determine shapes that are congruent |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 2 | 3 |
Reflection and congruence
|
Congruent triangles
Congruent triangles |
By the end of the
lesson, the learner
should be able to:
State the conditions that satisfy congruent triangles Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 63-64 Discovering secondary pg 39 |
|
| 2 | 4 |
Reflection and congruence
Rotation Rotation |
The ambiguous case
Introduction Centre of rotation |
By the end of the
lesson, the learner
should be able to:
Determine the two angles that are congruent Draw an image of an object under rotation Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 67 Discovering secondary pg 41 |
|
| 2 | 5 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the angle of rotation Rotate objects about the origin |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 |
|
| 2 | 6 |
Rotation
|
Rotation in the Cartesian plane
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 Rotate objects about the +180 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 2 | 7 |
Rotation
|
Rotational symmetry of plane figures
Rotational symmetry of solids |
By the end of the
lesson, the learner
should be able to:
State the order of rotational symmetry Determine the lines of symmetry of solids |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 |
|
| 2 | 8 |
Rotation
Similarity and enlargement Similarity and enlargement |
Rotation and congruence
Similar figures Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence 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 84 Discovering secondary pg 50 |
|
| 3 | 1 |
Similarity and enlargement
|
Enlargement
Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Enlarge an object Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 3 | 2 |
Similarity and enlargement
|
Linear scale factor
Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the linear scale factor Use the linear scale factor to find lengths |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 3 | 3 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor |
By the end of the
lesson, the learner
should be able to:
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 104 Discovering secondary pg 59 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
Similarity and enlargement
|
Volume scale factor
Area and volume scale factor |
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 110-111 Discovering secondary pg 64 |
|
| 3 | 6 |
Trigonometry
|
Pythagoras Theorem
Solutions of problems Using Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Derive Pythagoras Theorem Solve problems using Pythagoras Theorem |
Deriving Pythagoras Theorem
Solving problems using Pythagoras theorem |
Chalkboard Charts Illustrating derived theorem
Charts illustrating Pythagoras theorem |
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 3 | 7 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines |
By the end of the
lesson, the learner
should be able to:
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 |
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 |
Mathematical table
Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 3 | 8 |
Trigonometry
|
Trigonometric Table
Angles and sides of a right angled triangle Establishing Relationship of sine and cosine of complimentary angles |
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 Establish the relationship of sine and cosine of complimentary angles |
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 Using established relationship to solve problems |
Mathematical table
Mathematical table Charts Chalkboard Chalkboards |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 4 | 1 |
Trigonometry
|
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 relationship of sine and cosine of complimentary angles in solving problems Relate the three trigonometric ratios, the sine, cosine and tangent |
Solving problems involving the sines and cosines of complimentary angles
Relating the three trigonometric ratios |
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 4 | 2 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems |
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 |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Solving trigonometric problems of special angles |
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard |
KLB BK2 Pg 146-147
|
|
| 4 | 3 |
Trigonometry
|
Logarithms of Sines
Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines Read the logarithm of cosines and tangents from mathematical tables |
Solving problems by reading logarithm table of sines
Reading logarithms of cosine and tangent from mathematical table |
Chalkboard Mathematical tables
Chalkboard Mathematical table |
KLB BK2 Pg 149
|
|
| 4 | 4 |
Trigonometry
|
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations Area of a triangle Area of a triangle given the base and height (A = ? bh) |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines, cosines and tangents from tables Solve problems in real life using trigonometry Calculate the are of a triangle given the base and height |
Solving problems through reading the table of logarithm of sines, cosines and tangents
Solving problems using trigonometry in real life Calculating the area of a triangle given the base and height |
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 149-152
|
|
| 4 | 5 |
Trigonometry
|
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c) |
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 Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) |
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 |
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 156
|
|
| 4 | 6 |
Trigonometry
|
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:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium Find the area of a kite |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a Kite |
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite |
KLB BK2 Pg 161-163
|
|
| 4 | 7 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon |
By the end of the
lesson, the learner
should be able to:
Find the area of a regular polygon Find the area of irregular polygons |
Calculating the area of a regular polygon
Finding the area of irregular polygons |
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes |
KLB BK2 Pg 164
|
|
| 4 | 8 |
Trigonometry
|
Area of part of a circle Area of a sector (minor sector and a major sector)
Defining a segment of a circle Finding the area of a segment of a circle Area of a common region between two circles given the angles and the radii |
By the end of the
lesson, the learner
should be able to:
- Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle - 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 |
Finding the area of a minor and a major sector of a circle
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 |
Charts illustrating sectors
Chart illustrating a Segment Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK 2 Pg 167
|
|
| 5 | 1 |
Trigonometry
|
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism |
By the end of the
lesson, the learner
should be able to:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Finding the area of a common region between two intersecting
Defining a prism Calculating the surface area of the prisms |
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 176
|
|
| 5 | 2 |
Trigonometry
|
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:
Find the total surface area of a square based pyramid Find the surface area of a rectangular based pyramid |
Finding the surface area of a square based pyramid
Finding the surface area of a rectangular based pyramid |
Models of a square based pyramid
Models of a Rectangular based pyramid |
KLB BK 2 Pg 178
|
|
| 5 | 3 |
Trigonometry
|
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 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 |
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 |
Models of a cone
Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 181
|
|
| 5 | 4 |
Trigonometry
|
Finding the surface area of a sphere
Surface area of a Hemispheres Volume of Solids Volume of prism (triangular based prism) |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a sphere given the radius of a sphere Find the surface area of a hemisphere Find the volume of a triangular based prism |
Finding the surface area of a sphere
Finding the surface area of a hemisphere Finding the volume of a triangular based prism |
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere Models of a triangular based prism |
KLB BK 2 Pg 183
|
|
| 5 | 5 |
Trigonometry
|
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 volume of a hexagonal based prism Find the volume of a square based pyramid and rectangular based pyramid |
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) |
Models of hexagonal based prism
Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 187
|
|
| 5 | 6 |
Trigonometry
|
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 volume of a cone Find the volume of a frustrum of a cone |
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 |
Model of a cone
Models of a frustrum of a cone |
KLB BK 2 Pg 191
|
|
| 5 | 7 |
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
|
|
| 5 | 8 |
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 | 1 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations |
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 |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 2 |
Trigonometric Ratios
|
Application of tangents
The sine of an angle |
By the end of the
lesson, the learner
should be able to:
work out further problems using tangents findthesineofananglebycalculationsandthroughtables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 3 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the cosine of an angle by calculations and through tables 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
|
|
| 6 | 4 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles |
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 |
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
|
|
| 6 | 5 |
Trigonometric Ratios
|
Logarithms of sines, cosines and tangents
Relationship between sin, cos and tan |
By the end of the
lesson, the learner
should be able to:
solve problems using logarithms of sines cosines and tangents relatesin,cosandtanthatistan?=sin? cos? Solveproblemsusingtherelationship |
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
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations solveproblemsontrigonometry |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables Problem solving |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 7 |
Area of A Triangle
|
Area =
Solve problems involving = |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = solveproblemsinvolvingareaoftrianglesusingtheformulaArea= |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 6 | 8 |
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 solve problems on area of a triangle given the three sides findtheareaofquadrilateralsliketrapeziums,parallelogrametc.bydividingtheshapeoftriangles |
Discussions
Drawing triangles Measuring lengths/angles Calculating area Drawing trapeziums/polygons Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables Parallelograms Trapeziums Polygons Squares/rectangles |
KLB Maths Bk2 Pg. 155-157
|
|
| 7 | 1 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. solveproblemsontheareaofaregularpolygon |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 161
|
|
| 7 | 2 |
Area of Quadrilaterals
|
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 by using the formula A= solve problems on area of quadrilaterals and other polygons |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions Learners solve problems |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 3 |
Area of Part of a Circle
|
Area of a sector
Area of a segment |
By the end of the
lesson, the learner
should be able to:
find area of a sector find area of a segment |
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
|
Common region between two circles
Common region between two circles Problem solving |
By the end of the
lesson, the learner
should be able to:
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 solveproblemsinvolvingtheareaofpartofacircle |
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 |
KLB Maths Bk2 Pg. 167-169
|
|
| 7 | 5 |
Surface Area of Solids
|
Surface area of prisms
Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
find the surface area of a prism. find the surface area of a pyramid |
Drawing prisms
Measuring lengths Opening prisms to form nets Discussions Calculating area Drawing pyramids Measuring lengths/ angles Opening pyramids to form nets |
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base |
KLB Maths Bk2 Pg. 177
|
|
| 7 | 6 |
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 |
|
| 7 | 7 |
Surface Area of Solids
|
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 square base findthesurfaceareaoffrustrumwithrectangularbase |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area Discussions |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base |
KLB Maths Bk2 Pg. 181-183
|
|
| 7 | 8 |
Surface Area of Solids
Volume of Solids |
Surface area of spheres
Problem solving Volume of prism |
By the end of the
lesson, the learner
should be able to:
find the surface area of a sphere solveproblemsonsurfaceareaofsolids findthevolumeofaprism |
Sketching spheres
Making spheres Measuring diameters/ radii of spheres Discussions Learners solve problems Identifying prisms Identifying the cross-sectional area Drawing/sketching prisms |
Chalkboard illustrations
Past paper questions Prism |
KLB Maths Bk2 Pg. 183
|
|
| 8 | 1 |
Volume of Solids
|
Volume of pyramid
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a pyramid findthevolumeofacone |
Drawing pyramids
Making pyramids Opening pyramids to form nets Discussions Making cones/frustums Opening cones/frustums to form nets |
Pyramid
Cone |
KLB Maths Bk2 Pg. 189-190
|
|
| 8 | 2 |
Volume of Solids
|
Volume of a sphere
Volume of frustrum |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere findthevolumeofafrustrumwithacircularbase |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions Making cones/frustums Opening cones/frustums to form nets |
Sphere
Frustrum with circular base |
KLB Maths Bk2 Pg. 195
|
|
| 8 | 3 |
Volume of Solids
|
Volume of frustrum with a square base
Volume of frustrum with a rectangular base |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base findthevolumeofafrustrumwitharectangularbase |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base |
KLB Maths Bk2 Pg. 192-193
|
|
| 8-9 |
Midterm exams |
|||||||
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Volume of Solids
Quadratic Expressions and Equations |
Application to real life situation
Problem solving Expansion of Algebraic Expressions |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of volume of solids to real life situations. solve problems on volume of solids expand algebraic expressions |
Making cones/frustums
Opening cones/frustums to form nets Discussions Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Models of pyramids, prism, cones and spheres
Past paper questions Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 193-194
|
|
| 10 | 2 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities |
By the end of the
lesson, the learner
should be able to:
derive the three Algebraic identities identify and use 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 | 3 |
Quadratic Expressions and Equations
|
Factorise the Identities
Factorise other quadratic expressions |
By the end of the
lesson, the learner
should be able to:
factorise the identities factorise quadratic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 205-208
|
|
| 10 | 4 |
Quadratic Expressions and Equations
|
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 a difference of two squares simplify a quadratic expression by factorisation |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Quadratic Expressions and Equations
|
Solving on quadratic equations
Forming quadratic equations from the roots |
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 |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208-210
|
|
| 10 | 7 |
Linear Inequalities
|
Inequalities symbols
Number line |
By the end of the
lesson, the learner
should be able to:
identify and use inequality symbols illustrate inequalities on a number line |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 8 |
Linear Inequalities
|
Inequalities in one unknown
Graphical representation |
By the end of the
lesson, the learner
should be able to:
solve linear inequalities in one unknown and state the integral values represent linear inequalities in one unknown graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 1 |
Linear Inequalities
|
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:
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 |
KLB Maths Bk2 Pg. 213-224
|
|
| 11 | 2 |
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
|
|
| 11 | 3 |
Linear Motion
|
Displacement, velocity, speed and acceleration
Distinguishing terms |
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 |
Teacher/pupil discussion
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 4 |
Linear Motion
|
Distinguishing velocity and acceleration
Distance time graphs |
By the end of the
lesson, the learner
should be able to:
determine velocity and acceleration plot and draw the distance time graphs |
Learners determine velocity and acceleration
Plotting graphs Drawing graphs |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 11 | 5 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs Relative speed (objects moving in the same direction) |
By the end of the
lesson, the learner
should be able to:
interpret a velocity time graph interpret graphs of linear motion solve problems on objects moving in different directions |
Learners interpret a velocity time graph
Learners interpret graphs Teacher/pupil discussion |
Drawn graphs
Real life situation Chalkboard illustrations |
KLB
Maths Bk2 Pg.333 |
|
| 11 | 6 |
Linear Motion
Statistics |
Problem solving
Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on linear motion definestatistics |
Question answer method
Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Past paper questions
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.330 |
|
| 11 | 7 |
Statistics
|
Collection and organization of data
Frequency tables |
By the end of the
lesson, the learner
should be able to:
collect and organize data 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 | 8 |
Statistics
|
Grouped data
Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
group data into reasonable classes calculate the mean of ungrouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 1 |
Statistics
|
Median of ungrouped data
Mean of ungrouped data Median of a grouped data modal class |
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode calculate the mean of a grouped data state the modal class and calculate the median of a grouped data. |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 2 |
Statistics
|
Data
Representation.
Line graphs
Bar graphs |
By the end of the
lesson, the learner
should be able to:
represent data in form of a line graph 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 |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 3 |
Statistics
|
Pictogram
Histograms |
By the end of the
lesson, the learner
should be able to:
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 |
Pictures which are whole, half, quarter
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 4 |
Statistics
|
Frequency polygons
Histograms with uneven distribution |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons draw histograms with uneven distribution |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 5 |
Statistics
Angle Properties of a Circle |
Interpretation of data
Problem solving Arc chord segment |
By the end of the
lesson, the learner
should be able to:
interpret data from real life situation solve problems on statistics identify an arc, chord and segment |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Problem solving Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle |
Real life situations
Past paper questions Chart illustrating arc chord and segment |
KLB Maths Bk2 Pg. 241-252
|
|
| 12 | 6 |
Angle Properties of a Circle
|
Angles subtended by the same arc in the same segment
Angle at the centre and 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 relateandcomputeanglesubtendedbyanarcofacentreandatthecircumference |
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 |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 7 |
Angle Properties of a Circle
|
Angles subtended by the diameter at the circumference
Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle in the semi-circle statetheanglepropertiesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 8 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral applytheexteriorangleproperty |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 13 | 1 |
Angle Properties of a Circle
Vectors |
Problem solving
Problem solving Definition and Representation of vectors |
By the end of the
lesson, the learner
should be able to:
solve problems on angle properties of a circle 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 different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 13 | 2 |
Vectors
|
Equivalent vectors
Addition of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors add vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 13 | 3 |
Vectors
|
Multiplication of vectors
Position vectors |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar define a position vector illustrate position vectors on a Cartesian plane |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 13-14 |
End term exams and closing of the school |
|||||||
| 14 | 4 |
Vectors
|
Column vector
Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector 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 |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 296-297
|
|
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