If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
REPORTING BACK TO SCHOOL AND REVIEW OF HOLIDAY ASSIGNMENT. |
|||||||
| 1 | 3 |
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 | 4 |
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 | 5 |
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 | 6 |
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 | 7 |
Gradient and equations of straight lines
Reflection and congruence |
Parallel lines
Symmetry |
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 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 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 |
|
| 2 | 4 |
Rotation
|
Introduction
Centre 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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 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 |
|
| 3 | 1 |
Rotation
Similarity and enlargement |
Rotation and congruence
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 3 | 2 |
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 | 3 |
Similarity and enlargement
|
Enlarge objects
Linear scale factor 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 Use the linear scale factor to find lengths |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97-99 Discovering secondary pg 53 |
|
| 3 | 4 |
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 | 5 |
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 | 6 |
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 | 7 |
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 |
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 |
Solving problems using Pythagoras theorem
Solving problems in real life using the formula A = ?s(s-a)(s-b)(s-c) |
Charts illustrating Pythagoras theorem
Mathematical table |
KLB BK2 Pg 121 Discovering secondary pg 67
|
|
| 4 | 2 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table |
By the end of the
lesson, the learner
should be able to:
Define tangent, sine and cosine ratios from a right angles triangle Use trigonometric tables to find the sine, cosine and tangent |
Defining what a tangent, Cosine and sine are using a right angled triangle
Reading trigonometric tables of sines, cosines and tangent |
Charts illustrating tangent, sine and cosine
Mathematical table |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 4 | 3 |
Trigonometry
|
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 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 |
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 Charts Chalkboard
Chalkboards |
KLB BK2 Pg 125, 139, 140 Discovering secondary pg
|
|
| 4 | 4 |
Trigonometry
|
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine Trigonometric ratios of special angles 30, 45, 60 and 90 |
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 Determine the trigonometric ratios of special angles without using tables |
Solving problems involving the sines and cosines of complimentary angles
Relating the three trigonometric ratios Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables |
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 4 | 5 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables Read the logarithms of sines |
Solving trigonometric problems of special angles
Solving problems by reading logarithm table of sines |
Chalkboard
Chalkboard Mathematical tables |
KLB BK2 Pg 148
|
|
| 4 | 6 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents |
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 |
Reading logarithms of cosine and tangent from mathematical table
Solving problems through reading the table of logarithm of sines, cosines and tangents |
Chalkboard Mathematical table
|
KLB BK2 Pg 150-152
|
|
| 4 | 7 |
Trigonometry
|
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:
Solve problems in real life using trigonometry Calculate the are of a triangle given the base and height |
Solving problems using trigonometry in real life
Calculating the area of a triangle given the base and height |
Mathematical table
Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 153-154
|
|
| 5 | 1 |
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
|
|
| 5 | 2 |
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
|
|
| 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 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 | 5 |
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 | 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
|
|
| 5 | 7 |
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 | 1 |
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 | 2 |
Trigonometry
|
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle |
By the end of the
lesson, the learner
should be able to:
Find the volume of a triangular based prism Find the volume of a hexagonal based prism |
Finding the volume of a triangular based prism
Calculating the volume of an hexagonal prism |
Models of a triangular based prism
Models of hexagonal based prism |
KLB BK 2 Pg 186
|
|
| 6 | 3 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a square based pyramid and rectangular based pyramid Find the volume of a cone |
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 |
Models of square and Rectangular based Pyramids
Model of a cone |
KLB BK 2 Pg 189-190
|
|
| 6 | 4 |
Trigonometry
|
Volume of a frustrum of a cone
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 cone Find the volume of a frustrum of a Pyramid Find the volume of sphere given the radius of the sphere |
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
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 a frustrum of a cone
Models of frustrum of a pyramid Model of a sphere Mathematical table |
KLB BK 2 Pg 192
|
|
| 6 | 5 |
Trigonometry
|
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life |
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 |
Working out the volume of a hemisphere
Solving problems in real life using the knowledge of the area of triangle |
Models of hemisphere
Mathematical table Chart illustrating formula used |
Macmillan BK 2 Pg 173
|
|
| 6 | 6 |
Trigonometric Ratios
|
Tangent of an angle
Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation find the tangent of an angle from tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 7 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents |
By the end of the
lesson, the learner
should be able to:
calculate the size of an angle given two sides and an angle from tables work out further problems using tangents |
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 |
By the end of the
lesson, the learner
should be able to:
find the sine of an angle by calculations and through tables findthecosineofananglebycalculationsandthroughtables |
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 sine and cosine
Complementary angles |
By the end of the
lesson, the learner
should be able to:
apply sines to work out lengths and angles. Apply cosine to work out length and angles define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa |
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
|
Special angles
Application of Special angles |
By the end of the
lesson, the learner
should be able to:
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 | 4 |
Trigonometric Ratios
|
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:
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 |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 5 |
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
|
|
| 7-8 |
MIDTERM 2 EXAMS |
|||||||
| 8-9 |
MID TERM 2 BREAK |
|||||||
| 9 | 2 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) |
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 |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 9 | 3 |
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
|
|
| 9 | 4 |
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
|
|
| 9 | 5 |
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
|
|
| 9 | 6 |
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
|
|
| 9 | 7 |
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
|
|
| 10 | 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
|
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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
|
|
| 10 | 4 |
Surface Area of Solids
|
Surface area of spheres
Problem solving |
By the end of the
lesson, the learner
should be able to:
find the surface area of a sphere solveproblemsonsurfaceareaofsolids |
Sketching spheres
Making spheres Measuring diameters/ radii of spheres Discussions Learners solve problems |
Chalkboard illustrations
Past paper questions |
KLB Maths Bk2 Pg. 183
|
|
| 10 | 5 |
Volume of Solids
|
Volume of prism
Volume of pyramid |
By the end of the
lesson, the learner
should be able to:
find the volume of a prism findthevolumeofapyramid |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms Drawing pyramids Making pyramids Opening pyramids to form nets Discussions |
Prism
Pyramid |
KLB Maths Bk2 Pg. 186-188
|
|
| 10 | 6 |
Volume of Solids
|
Volume of a cone
Volume of a sphere |
By the end of the
lesson, the learner
should be able to:
find the volume of a cone findthevolumeofasphere |
Making cones/frustums
Opening cones/frustums to form nets Identifying spheres Sketching spheres Measuring radii/ diameters Discussions |
Cone
Sphere |
KLB Maths Bk2 Pg. 191
|
|
| 10 | 7 |
Volume of Solids
|
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 frustrum with a circular base findthevolumeofafrustrumwithasquarebase |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base |
KLB Maths Bk2 Pg. 192-193
|
|
| 11 | 1 |
Volume of Solids
|
Volume of frustrum with a rectangular base
Application to real life situation Problem solving |
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. solveproblemsonvolumeofsolids |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres Past paper questions |
KLB Maths Bk2 Pg. 192-193
|
|
| 11 | 2 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic identities |
By the end of the
lesson, the learner
should be able to:
expand algebraic expressions derive the three Algebraic identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 203
|
|
| 11 | 3 |
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
|
|
| 11 | 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
|
|
| 11 | 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
|
|
| 11 | 6 |
Quadratic Expressions and 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:
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
|
|
| 11 | 7 |
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
|
|
| 12 | 1 |
Linear Inequalities
|
Inequalities symbols
Number line Inequalities in one unknown |
By the end of the
lesson, the learner
should be able to:
identify and use inequality symbols illustrate inequalities on a number line solve linear inequalities in one unknown and state the integral values |
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
|
|
| 12 | 2 |
Linear Inequalities
|
Graphical representation
Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
represent linear inequalities in one unknown graphically solve the linear inequalities in two unknowns graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines Graph papers
Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 12 | 3 |
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 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
|
|
| 12 | 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
|
|
| 12 | 5 |
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
|
|
| 12 | 6 |
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
|
|
| 12 | 7 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs Relative speed (objects moving in the same direction) Problem solving |
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 solveproblemsonlinearmotion |
Learners interpret a velocity time graph
Learners interpret graphs Teacher/pupil discussion Question answer method |
Drawn graphs
Real life situation Chalkboard illustrations Past paper questions |
KLB
Maths Bk2 Pg.333 |
|
| 13 |
END OF TERM 2 EXAMS |
|||||||
| 14 |
AUGUST HOLIDAY |
|||||||
Your Name Comes Here