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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Gradient and equations of straight lines
|
Gradient
|
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
| 1 | 2 |
Gradient and equations of straight lines
|
Gradient
Equation of a line |
By the end of the
lesson, the learner
should be able to:
State the type of gradient Find equation of a line passing through two points |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 30-32 discovering secondary pg 23 |
|
| 1 | 3 |
Gradient and equations of straight lines
|
Linear equation y=mx+c
The y-intercept |
By the end of the
lesson, the learner
should be able to:
Find linear equations in the form y=mx+c Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 34-36 discovering secondary pg 27 |
|
| 1 | 4 |
Gradient and equations of straight lines
|
The graph of a straight line
Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Draw the graph of a straight line Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Pg39-40 discovering secondary pg 29 |
|
| 1 | 5 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence |
Parallel lines
Symmetry Reflection |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines 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 43-44 discovering secondary pg 29 |
|
| 1 | 6 |
Reflection and congruence
|
Some general deductions using reflection
Some general deductions using reflection |
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 |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 2 | 1 |
Reflection and congruence
|
Congruence
Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 |
|
| 2 | 2 |
Reflection and congruence
Rotation |
Congruent triangles
The ambiguous case Introduction |
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles Determine the two angles that are congruent Draw an image of an object under rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 2 | 3 |
Rotation
|
Centre of rotation
Angle of rotation |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation Determine the angle of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 |
|
| 2 | 4 |
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 origin Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 75 Discovering secondary pg 47 |
|
| 2 | 5 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the +180 State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 77 Discovering secondary pg 47 |
|
| 2 | 6 |
Rotation
Similarity and enlargement |
Rotational symmetry of solids
Rotation and congruence Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the lines of symmetry of solids Determine the relationship between rotation and congruence Calculate lengths of objects |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 82-84 Discovering secondary pg 50 |
|
| 3 | 1 |
Similarity and enlargement
|
Similar figures
Enlargement |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures Enlarge an object |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 3 | 2 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor |
By the end of the
lesson, the learner
should be able to:
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 97-99 Discovering secondary pg 53 |
|
| 3 | 3 |
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 |
|
| 3 | 4 |
Similarity and enlargement
|
Area scale factor
Area of 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 |
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
Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor Use volume scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 |
|
| 3 | 6 |
Similarity and enlargement
Trigonometry |
Area and volume scale factor
Pythagoras Theorem |
By the end of the
lesson, the learner
should be able to:
Solve problems on area and volume scale factor Derive Pythagoras Theorem |
Defining
Discussions Solving problem Explaining Deriving Pythagoras Theorem |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 4 | 1 |
Trigonometry
|
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:
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 |
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 |
Charts illustrating Pythagoras theorem
Mathematical table Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 4 | 2 |
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 | 3 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles |
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 |
Using established relationship to solve problems
Solving problems involving the sines and cosines of complimentary angles |
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 145
|
|
| 4 | 4 |
Trigonometry
|
Relationship between tangent, sine and cosine
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:
Relate the three trigonometric ratios, the sine, cosine and tangent Determine the trigonometric ratios of special angles without using tables Solve trigonometric problems without using tables |
Relating the three trigonometric ratios
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables Solving trigonometric problems of special angles |
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle Chalkboard |
KLB BK2 Pg 145
|
|
| 4 | 5 |
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 | 6 |
Trigonometry
|
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 logarithms of sines, cosines and tangents from tables Solve problems in real life using trigonometry |
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 149-152
|
|
| 5 | 1 |
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?) |
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 |
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 |
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 155
|
|
| 5 | 2 |
Trigonometry
|
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium Area of a kite |
By the end of the
lesson, the learner
should be able to:
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 |
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 |
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 157-158
|
|
| 5 | 3 |
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
|
|
| 5 | 4 |
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 |
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 |
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 ? |
Charts illustrating sectors
Chart illustrating a Segment |
KLB BK 2 Pg 167
|
|
| 5 | 5 |
Trigonometry
|
Area of a common region between two circles given the angles and the radii
Area of a common region between two circles given only the radii of the two circles and a common chord Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism |
By the end of the
lesson, the learner
should be able to:
Find the area of common region between two circles given the angles ? Education Plus Agencies 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 |
Calculating the area of a segment
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 the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 175
|
|
| 5 | 6 |
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
|
|
| 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 |
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
|
|
| 6 | 2 |
Trigonometry
|
Finding the surface area of a sphere
Surface area of a Hemispheres |
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 |
Finding the surface area of a sphere
Finding the surface area of a hemisphere |
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere |
KLB BK 2 Pg 183
|
|
| 6 | 3 |
Trigonometry
|
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle Volume of a pyramid (square based and rectangular based) |
By the end of the
lesson, the learner
should be able to:
Find the 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 |
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) |
Models of a triangular based prism
Models of hexagonal based prism Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 186
|
|
| 6 | 4 |
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
|
|
| 6 | 5 |
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 | 6 |
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
|
|
| 7 | 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
|
|
| 7 | 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
|
|
| 7 | 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
|
|
| 7 | 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
|
|
| 7 | 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
|
|
| 7 | 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
|
|
| 8 |
Midterm exam |
|||||||
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Area of A Triangle
|
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = solveproblemsinvolvingareaoftrianglesusingtheformulaArea= find the area of a triangle given the three sides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 10 | 2 |
Area of A Triangle
Area of Quadrilaterals |
Problem solving
Area of parallelogram |
By the end of the
lesson, the learner
should be able to:
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
|
|
| 10 | 3 |
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
|
|
| 10 | 4 |
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
|
|
| 10 | 5 |
Area of Part of a Circle
|
Area of a sector
Area of a segment Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find area of a sector find area of a segment find the area of the common region between two circles. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 10 | 6 |
Area of Part of a Circle
|
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 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
|
|
| 11 | 1 |
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
|
|
| 11 | 2 |
Surface Area of Solids
|
Surface area of a cone
Surface area of frustrum with circular base Surface area of frustrum with square base |
By the end of the
lesson, the learner
should be able to:
find the surface area of a cone findthesurfaceareaoffrustrumwithcircularbase findthesurfaceareaoffrustrumwithsquarebase |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Discussions Learners find the surface area |
Cone
Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 11 | 3 |
Surface Area of Solids
|
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 rectangular base findthesurfaceareaofasphere |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Sketching spheres Making spheres Measuring diameters/ radii of spheres |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations |
KLB Maths Bk2 Pg. 181-183
|
|
| 11 | 4 |
Surface Area of Solids
Volume of Solids |
Problem solving
Volume of prism |
By the end of the
lesson, the learner
should be able to:
solve problems on surface area of solids findthevolumeofaprism |
Learners solve problems
Identifying prisms Identifying the cross-sectional area Drawing/sketching prisms |
Past paper questions
Prism |
KLB Maths Bk2 Pg. 183
|
|
| 11 | 5 |
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
|
|
| 11 | 6 |
Volume of Solids
|
Volume of a sphere
Volume of frustrum Volume of frustrum with a square base |
By the end of the
lesson, the learner
should be able to:
find the volume of a sphere findthevolumeofafrustrumwithacircularbase findthevolumeofafrustrumwithasquarebase |
Identifying spheres
Sketching spheres Measuring radii/ diameters Discussions Making cones/frustums Opening cones/frustums to form nets |
Sphere
Frustrum with circular base Frustrum with square base |
KLB Maths Bk2 Pg. 195
|
|
| 12 | 1 |
Volume of Solids
|
Volume of frustrum with a rectangular base
Application to real life situation |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a rectangular base apply the knowledge of volume of solids to real life situations. |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 12 | 2 |
Volume of Solids
Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions |
By the end of the
lesson, the learner
should be able to:
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 |
Past paper questions
Real-life experiences Worked out expressions |
KLB Maths Bk2 Pg. 196
|
|
| 12 | 3 |
Quadratic Expressions and Equations
|
Quadratic identities
Application of identities Factorise the Identities |
By the end of the
lesson, the learner
should be able to:
derive the three Algebraic identities 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
|
|
| 12 | 4 |
Quadratic Expressions and Equations
|
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2 |
By the end of the
lesson, the learner
should be able to:
factorise quadratic expressions factorise a difference of two squares |
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
|
|
| 12 | 5 |
Quadratic Expressions and Equations
|
Simplification of an expression by factorisation
Solving quadratic equations |
By the end of the
lesson, the learner
should be able to:
simplify a quadratic expression by factorisation solve quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 12 | 6 |
Quadratic Expressions and Equations
|
The formation of quadratic equations
Formation and solving of quadratic equations from word problems Solving on quadratic equations Forming quadratic equations from the roots |
By the end of the
lesson, the learner
should be able to:
form quadratic equations from information form and solve quadratic equations from word problems 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
|
|
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