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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 |
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 |
|
| 1 |
Opener exam |
|||||||
| 1 | 8 |
Reflection and congruence
|
Reflection
Some general deductions using 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 Deduce some general rules of reflection |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 48-50 Discovering secondary pg 33 |
|
| 2 | 1 |
Reflection and congruence
|
Congruence
Congruent triangles 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 Determine the 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 |
The ambiguous case
Introduction |
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 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 67 Discovering secondary pg 41 |
|
| 2 | 3 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation Determine the angle of rotation Rotate objects about the origin |
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 Rotational symmetry of plane figures |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 Rotate objects about the +180 State the order of rotational symmetry |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Use ratio to calculate the lengths of similar figures Enlarge an object Draw the object and its image under enlargement |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 88-90 Discovering secondary pg 56 |
|
| 2 | 7 |
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 |
|
| 2 | 8 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor Area 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 Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 3 | 1 |
Similarity and enlargement
|
Area of scale factor
Volume scale factor Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Use area scale factor to solve problems 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 108 Discovering secondary pg 64 |
|
| 3 | 2 |
Similarity and enlargement
Trigonometry Trigonometry |
Area and volume scale factor
Pythagoras Theorem Solutions of problems Using 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 Solve problems using Pythagoras Theorem |
Defining
Discussions Solving problem Explaining Deriving Pythagoras Theorem Solving problems using Pythagoras theorem |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 3 | 3 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines Trigonometric Table |
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 Use trigonometric tables to find the sine, cosine and tangent |
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 Reading trigonometric tables of sines, cosines and tangent |
Mathematical table
Charts illustrating tangent, sine and cosine |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 3 | 4 |
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
|
|
| 3 | 5 |
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
|
|
| 3 | 6 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables Read the logarithms of sines Read the logarithm of cosines and tangents from mathematical tables |
Solving trigonometric problems of special angles
Solving problems by reading logarithm table of sines Reading logarithms of cosine and tangent from mathematical table |
Chalkboard
Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 148
|
|
| 3 | 7 |
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
|
|
| 3 | 8 |
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) Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium |
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) Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
Solving problems on the area of triangle given three sides of a triangle Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table Charts illustrating formula used in calculating the areas of the quadrilateral |
KLB BK2 Pg 156
|
|
| 4 | 1 |
Trigonometry
|
Area of a kite
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 kite Find the area of a regular polygon Find the area of irregular polygons |
Calculating the area of a Kite
Calculating the area of a regular polygon Finding the area of irregular polygons |
Model of a kite
Mathematical table Charts illustrating Polygons Charts illustrating various irregular polygons Polygonal shapes |
KLB BK2 Pg 163
|
|
| 4 | 2 |
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
|
|
| 4 | 3 |
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
|
|
| 4 | 4 |
Trigonometry
|
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid Surface area of a cone using the formula A = ?r2 + ?rl |
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 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 |
Finding the surface area of a square based pyramid
Finding the surface area of a rectangular based pyramid Finding the area of the circular part Finding the area of the curved part Getting the total surface Area |
Models of a square based pyramid
Models of a Rectangular based pyramid Models of a cone |
KLB BK 2 Pg 178
|
|
| 4 | 5 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
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 frustrum of a cone and pyramid 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 frustrum of a cone and a pyramid
Finding the surface area of a sphere Finding the surface area of a hemisphere |
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere Models of a hemisphere |
KLB BK 2 Pg 182
|
|
| 4 | 6 |
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
|
|
| 4 | 7 |
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
|
|
| 4 | 8 |
Trigonometry
|
Volume of a frustrum of a pyramid
Volume of a sphere (v = 4/3?r3) Volume of a Hemisphere {(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 Find the volume of a hemisphere |
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 Working out the volume of a hemisphere |
Models of frustrum of a pyramid
Model of a sphere Mathematical table Models of hemisphere |
KLB BK 2 Pg 194
|
|
| 5 | 1 |
Trigonometry
Trigonometric Ratios Trigonometric Ratios |
Application of area of triangles to real life
Tangent of an angle Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
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 find the tangent of an angle from tables |
Solving problems in real life using the knowledge of the area of triangle
Measuring lengths/angles Dividing numbers Drawing right angles Reading mathematical tables |
Mathematical table Chart illustrating formula used
Protractor Ruler Right corners Mathematical tables |
KLB BK 2 Pg 159
|
|
| 5 | 2 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents The sine of an angle |
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 findthesineofananglebycalculationsandthroughtables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 3 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles |
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 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
|
|
| 5 | 4 |
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
|
|
| 5 | 5 |
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
|
|
| 5 | 6 |
Trigonometric Ratios
Area of A Triangle Area of A Triangle |
Problem solving
Area = Solve problems involving = |
By the end of the
lesson, the learner
should be able to:
solve problems on trigonometry derivetheformulaArea= solveproblemsinvolvingareaoftrianglesusingtheformulaArea= |
Problem solving
Discussions Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 5 | 7 |
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
|
|
| 5 | 8 |
Area of Quadrilaterals
|
Area of Rhombus
Area of trapezium and kite Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon. solveproblemsontheareaofaregularpolygon find the area of a regular polygon by using the formula A= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations |
KLB Maths Bk2 Pg. 161
|
|
| 6 | 1 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle |
Problem solving
Area of a sector Area of a segment |
By the end of the
lesson, the learner
should be able to:
solve problems on area of quadrilaterals and other polygons findareaofasector find area of a segment |
Learners solve problems
Drawing circles Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Circles Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 165-166
|
|
| 6 | 2 |
Area of Part of a Circle
|
Common region between two circles
Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. find the area of the common region between two circles and solve problems related to that |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 3 |
Area of Part of a Circle
Surface Area of Solids Surface Area of Solids |
Problem solving
Surface area of prisms Surface area of pyramid |
By the end of the
lesson, the learner
should be able to:
solve problems involving the area of part of a circle find the surface area of a prism. findthesurfaceareaofapyramid |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions Drawing prisms Measuring lengths Opening prisms to form nets Calculating area Drawing pyramids Measuring lengths/ angles Opening pyramids to form nets |
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations Pyramids with square base, rectangular base, triangular base |
KLB Maths Bk2 Pg. 167-169
|
|
| 6 | 4 |
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 |
|
| 6 | 5 |
Surface Area of Solids
|
Surface area of frustrum with rectangular base
Surface area of spheres Problem solving |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with rectangular base findthesurfaceareaofasphere solveproblemsonsurfaceareaofsolids |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Sketching spheres Making spheres Measuring diameters/ radii of spheres Learners solve problems |
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations Past paper questions |
KLB Maths Bk2 Pg. 181-183
|
|
| 6 | 6 |
Volume of Solids
|
Volume of prism
Volume of pyramid Volume of a cone |
By the end of the
lesson, the learner
should be able to:
find the volume of a prism findthevolumeofapyramid findthevolumeofacone |
Identifying prisms
Identifying the cross-sectional area Drawing/sketching prisms Drawing pyramids Making pyramids Opening pyramids to form nets Discussions Making cones/frustums Opening cones/frustums to form nets |
Prism
Pyramid Cone |
KLB Maths Bk2 Pg. 186-188
|
|
| 6 | 7 |
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
|
|
| 6 | 8 |
Volume of Solids
|
Volume of frustrum with a square base
Volume of frustrum with a rectangular base Application to real life situation |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a square base findthevolumeofafrustrumwitharectangularbase apply the knowledge of volume of solids to real life situations. |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with square base
Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 7 | 1 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities |
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids expand algebraic expressions derivethethreeAlgebraicidentities |
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
|
|
| 7 | 2 |
Quadratic Expressions and Equations
|
Application of identities
Factorise the Identities Factorise other quadratic expressions |
By the end of the
lesson, the learner
should be able to:
identify and use the three Algebraic identities 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. 204-205
|
|
| 7 | 3 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation Solving quadratic equations |
By the end of the
lesson, the learner
should be able to:
factorise a difference of two squares 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
|
|
| 7 | 4 |
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
|
|
| 7 | 5 |
Quadratic Expressions and Equations
Linear Inequalities |
Solving on quadratic equations
Forming quadratic equations from the roots Inequalities symbols |
By the end of the
lesson, the learner
should be able to:
solve problems on quadratic equations form quadratic equations given the roots of the equation identify and use inequality symbols |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises Drawing graphs of inequalities Determining the scale of a graph Shading unwanted regions |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
|
|
| 7 | 6 |
Linear Inequalities
|
Number line
Inequalities in one unknown Graphical representation |
By the end of the
lesson, the learner
should be able to:
illustrate inequalities on a number line solve linear inequalities in one unknown and state the integral values represent linear inequalities in one unknown graphically |
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
|
|
| 7 | 7 |
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
|
|
| 7 | 8 |
Linear Inequalities
Linear Motion |
Inequalities from inequality graphs
Problem solving. Displacement, velocity, speed and acceleration |
By the end of the
lesson, the learner
should be able to:
form simple linear inequalities from inequality graphs solve problems on linear inequalities Define displacement, speed velocity and acceleration |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions Teacher/pupil discussion Plotting graphs Drawing graphs |
Number lines
Graph papers Square boards Negative and positive numbers Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 8 | 1 |
Linear Motion
|
Distinguishing terms
Distinguishing velocity and acceleration Distance time graphs |
By the end of the
lesson, the learner
should be able to:
distinguish between distance and displacement, speed and velocity determine velocity and acceleration plot and draw the distance time graphs |
Plotting graphs
Drawing graphs Learners determine velocity and acceleration |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 8 | 2 |
Linear Motion
|
Interpret the velocity time graph
Interpreting graphs |
By the end of the
lesson, the learner
should be able to:
interpret a velocity time graph interpret graphs of linear motion |
Learners interpret a velocity time graph
Learners interpret graphs |
Drawn graphs
|
KLB
Maths Bk2 Pg.333 |
|
| 8 |
Midterm exam |
|||||||
| 9 |
Midterm break |
|||||||
| 10 | 1 |
Linear Motion
Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on objects moving in different directions solveproblemsonlinearmotion definestatistics |
Teacher/pupil discussion
Question answer method Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Real life situation
Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.329 |
|
| 10 | 2 |
Statistics
|
Collection and organization of data
Frequency tables Grouped data |
By the end of the
lesson, the learner
should be able to:
collect and organize data draw a frequency distribution table group data into reasonable classes |
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
|
|
| 10 | 3 |
Statistics
|
Mean of ungrouped data
Median of ungrouped data Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the mean of ungrouped data calculate the median of ungrouped data and state the mode calculate the mean of a grouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 10 | 4 |
Statistics
|
Median of a grouped data modal class
Data Representation. Line graphs Bar graphs |
By the end of the
lesson, the learner
should be able to:
state the modal class and calculate the median of a grouped data. represent data in form of a line graph 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
|
|
| 10 | 5 |
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
|
|
| 10 | 6 |
Statistics
|
Frequency polygons
Histograms with uneven distribution Interpretation of data |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons draw histograms with uneven distribution interpret data from real life situation |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes Real life situations |
KLB Maths Bk2 Pg. 241-252
|
|
| 10 | 7 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
Problem solving
Arc chord segment Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
solve problems on statistics identify an arc, chord and segment relateandcomputeanglessubtendedbyanarcofacircleatthecircumference |
Problem solving
Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle Measuring radii/diameters/angles Identifying the parts of a circle |
Past paper questions
Chart illustrating arc chord and segment Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 241-252
|
|
| 10 | 8 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference statetheangleinthesemi-circle statetheanglepropertiesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 1 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property Problem solving |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral applytheexteriorangleproperty solveproblemsonanglepropertiesofacircle |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 2 |
Angle Properties of a Circle
Vectors |
Problem solving
Definition and Representation of vectors |
By the end of the
lesson, the learner
should be able to:
state all the properties and use them selectively to solve missing angles. define a vector and a scalar, use vector notation and represent vectors. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle Writing position vectors Adding/subtracting numbers Squaring and getting the square root of numbers |
Circles showing the
different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 3 |
Vectors
|
Equivalent vectors
Addition of vectors Multiplication of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors add vectors multiply a vector and a scalar |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 11-12 |
End term exams and closing of the school |
|||||||
| 12 | 4 |
Vectors
|
Position vectors
Column vector Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
define a position vector illustrate position vectors on a Cartesian plane writeavectorasacolumnvector find the magnitude of a vector calculate the midpoint of a vector findthetranslationvectorgiventheobjectandtheimage |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg.298
|
|
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