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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Trigonometry
|
Pythagoras Theorem
|
By the end of the
lesson, the learner
should be able to:
Derive Pythagoras Theorem |
Deriving Pythagoras Theorem
|
Chalkboard Charts Illustrating derived theorem
|
KLB BK2 Pg 120 Discovering secondary pg 67
|
|
| 2 | 2 |
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
|
|
| 2 | 3 |
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
|
|
| 2 | 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
|
|
| 2 | 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
|
|
| 2 | 6 |
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
|
|
| 3 | 1 |
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
|
|
| 3 | 2 |
Trigonometry
|
Application of trigonometry to real life situations
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:
Solve problems in real life using trigonometry 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 |
Solving problems using trigonometry in real life
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 |
Mathematical table
Chart illustrating worked problem Chalkboard Charts illustrating a triangle with two sides and an included angle Charts showing derived formula |
KLB BK2 Pg 153-154
|
|
| 3 | 3 |
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 |
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 |
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 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 157-158
|
|
| 3 | 4 |
Trigonometry
|
Area of a kite
Area of other polygons (regular polygon) e.g. Pentagon |
By the end of the
lesson, the learner
should be able to:
Find the area of a kite Find the area of a regular polygon |
Calculating the area of a Kite
Calculating the area of a regular polygon |
Model of a kite
Mathematical table Charts illustrating Polygons |
KLB BK2 Pg 163
|
|
| 3 | 5 |
Trigonometry
|
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of irregular polygons - Find the area of a sector given the angle and the radius of a minor sector Calculate the area of a major sector of a circle |
Finding the area of irregular polygons
Finding the area of a minor and a major sector of a circle |
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors |
KLB BK2 Pg 166
|
|
| 3 | 6 |
Trigonometry
|
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii Area of a common region between two circles given only the radii of the two circles and a common chord |
By the end of the
lesson, the learner
should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle Find the area of common region between two circles given the angles ? Education Plus Agencies Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles |
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
Calculating the area of a segment Finding the area of a common region between two intersecting |
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation Charts illustrating common region between two intersecting circles |
KLB BK2 Pg 169-170
|
|
| 4 | 1 |
Trigonometry
|
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid |
By the end of the
lesson, the learner
should be able to:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism Find the total surface area of a square based pyramid |
Defining a prism Calculating the surface area of the prisms
Finding the surface area of a square based pyramid |
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid |
KLB BK 2 Pg 177
|
|
| 4 | 2 |
Trigonometry
|
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 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 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 Rectangular based pyramid
Models of a cone |
KLB BK 2 Pg 179-180
|
|
| 4 | 3 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a frustrum of a cone and pyramid Find the surface area of a sphere given the radius of a sphere |
Finding the surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere |
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere |
KLB BK 2 Pg 182
|
|
| 4 | 4 |
Trigonometry
|
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism) Volume of prism (hexagonal based prism) given the sides and angle |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a hemisphere Find the volume of a triangular based prism Find the volume of a hexagonal based prism |
Finding the surface area of a hemisphere
Finding the volume of a triangular based prism Calculating the volume of an hexagonal prism |
Models of a hemisphere
Models of a triangular based prism Models of hexagonal based prism |
KLB BK 2 Pg 184
|
|
| 4 | 5 |
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
|
|
| 4 | 6 |
Trigonometry
|
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid |
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 |
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) |
Models of a frustrum of a cone
Models of frustrum of a pyramid |
KLB BK 2 Pg 192
|
|
| 5 | 1 |
Trigonometry
|
Volume of a sphere (v = 4/3?r3)
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 sphere given the radius of the sphere Find the volume of a hemisphere Use the knowledge of the area of triangles in solving problems in real life situation |
Finding the volume of a Sphere
Working out the volume of a hemisphere Solving problems in real life using the knowledge of the area of triangle |
Model of a sphere Mathematical table
Models of hemisphere Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 195
|
|
| 5 | 2 |
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
|
|
| 5 | 3 |
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
|
|
| 5 | 4 |
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
|
|
| 5 | 5 |
Trigonometric Ratios
|
Application of sine and cosine
Complementary angles Special 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 findthesine,cos,andtanof300,600,450,00,900,withoutusingtables |
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
|
Application of Special angles
Logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of special angles to solve problems solve problems using logarithms of sines cosines and tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables Measuring lengths/angles |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 1 |
Trigonometric Ratios
|
Relationship between sin, cos and tan
Application to real life situation |
By the end of the
lesson, the learner
should be able to:
relate sin, cos and tan that is tan?=sin? cos? Solve problems using the relationship applytheknowledgeoftrigonometrytoreallifesituations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 | 2 |
Trigonometric Ratios
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
|
|
| 6 | 3 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems involving area of triangles using the formula Area = find the area of a triangle given the three sides solveproblemsonareaofatrianglegiventhethreesides |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 6 | 4 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus |
By the end of the
lesson, the learner
should be able to:
find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles findtheareaofaregularpolygon. |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 160
|
|
| 6 | 5 |
Area of Quadrilaterals
|
Area of trapezium and kite
Area of regular polygons |
By the end of the
lesson, the learner
should be able to:
solve problems on the area of a regular polygon 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. 162-163
|
|
| 6 | 6 |
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
|
|
| 7 | 1 |
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
|
|
| 7 | 2 |
Area of Part of a Circle
Surface Area of Solids |
Problem solving
Surface area of prisms |
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. |
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 |
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 7 | 3 |
Surface Area of Solids
|
Surface area of pyramid
Surface area of a cone |
By the end of the
lesson, the learner
should be able to:
find the surface area of a pyramid findthesurfaceareaofacone |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area Drawing cones/frustums Making cones/frustums |
Pyramids with square base, rectangular base, triangular base
Cone |
KLB Maths Bk2 Pg. 178
|
|
| 7 | 4 |
Surface Area of Solids
|
Surface area of frustrum with circular base
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 circular base findthesurfaceareaoffrustrumwithsquarebase findthesurfaceareaoffrustrumwithrectangularbase |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Discussions Learners find the surface area |
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base Chart illustrating frustrum with a rectangular base |
KLB Maths Bk2 Pg. 181-283
KLBMathematics Bk2 Discovering Secondary Mathematics Bk2 |
|
| 7 | 5 |
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
|
|
| 7 | 6 |
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
|
|
| 8 | 1 |
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
|
|
| 8 | 2 |
Volume of Solids
|
Volume of frustrum
Volume of frustrum with a square base Volume of frustrum with a rectangular base |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a circular base findthevolumeofafrustrumwithasquarebase findthevolumeofafrustrumwitharectangularbase |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base Frustrum with rectangular base |
KLB Maths Bk2 Pg. 192-193
|
|
| 8 | 3 |
Volume of Solids
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of volume of solids to real life situations. solve problems on volume of solids |
Making cones/frustums
Opening cones/frustums to form nets |
Models of pyramids, prism, cones and spheres
Past paper questions |
KLB Maths Bk2 Pg. 193-194
|
|
| 8 | 4 |
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
|
|
| 8 | 5 |
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
|
|
| 8 | 6 |
Quadratic Expressions and Equations
|
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation |
By the end of the
lesson, the learner
should be able to:
factorise a difference of two squares simplify a quadratic expression by factorisation |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 9 | 1 |
Quadratic Expressions and Equations
|
Solving quadratic equations
The formation of quadratic equations |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations form quadratic equations from information |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
| 9 | 2 |
Quadratic Expressions and Equations
|
Formation and solving of quadratic equations from word problems
Solving on quadratic equations |
By the end of the
lesson, the learner
should be able to:
form and solve quadratic equations from word problems solve problems on quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208-210
|
|
| 9 | 3 |
Quadratic Expressions and Equations
Linear Inequalities Linear Inequalities |
Forming quadratic equations from the roots
Inequalities symbols Number line |
By the end of the
lesson, the learner
should be able to:
form quadratic equations given the roots of the equation identify and use inequality symbols illustrate inequalities on a number line |
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 Negative and positive numbers |
KLB Maths Bk2 Pg. 210
|
|
| 9 | 4 |
Linear Inequalities
|
Inequalities in one unknown
Graphical representation |
By the end of the
lesson, the learner
should be able to:
solve linear inequalities in one unknown and state the integral values represent linear inequalities in one unknown graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 9 | 5 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Graphical solutions of simultaneous linear inequalities |
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 |
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
|
|
| 9 | 6 |
Linear Inequalities
|
Area of the wanted region
Inequalities from inequality graphs |
By the end of the
lesson, the learner
should be able to:
calculate the area of the wanted region form simple linear inequalities from inequality graphs |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 10 | 1 |
Linear Inequalities
Linear Motion Linear Motion |
Problem solving.
Displacement, velocity, speed and acceleration Distinguishing terms |
By the end of the
lesson, the learner
should be able to:
solve problems on linear inequalities Define displacement, speed velocity and acceleration distinguish between distance and displacement, speed and velocity |
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
|
|
| 10 | 2 |
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
|
|
| 10 | 3 |
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 |
|
| 10 | 4 |
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 | 5 |
Statistics
|
Collection and organization of data
Frequency tables |
By the end of the
lesson, the learner
should be able to:
collect and organize data draw a frequency distribution table |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 10 | 6 |
Statistics
|
Grouped data
Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
group data into reasonable classes calculate the mean of ungrouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 1 |
Statistics
|
Median of ungrouped data
Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode calculate the mean of a grouped data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 2 |
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
|
|
| 11 | 3 |
Statistics
|
Pictogram
Histograms |
By the end of the
lesson, the learner
should be able to:
represent data in form of pictures represent data in form of histograms |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Pictures which are whole, half, quarter
Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 4 |
Statistics
|
Frequency polygons
Histograms with uneven distribution |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons draw histograms with uneven distribution |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 5 |
Statistics
|
Interpretation of data
Problem solving |
By the end of the
lesson, the learner
should be able to:
interpret data from real life situation solve problems on statistics |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Problem solving |
Real life situations
Past paper questions |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 6 |
Angle Properties of a Circle
|
Arc chord segment
Angles subtended by the same arc in the same segment Angle at the centre and at the circumference |
By the end of the
lesson, the learner
should be able to:
identify an arc, chord and segment relate and compute angles subtended by an arc of a circle at the circumference relateandcomputeanglesubtendedbyanarcofacentreandatthecircumference |
Discussions
Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 1 |
Angle Properties of a Circle
|
Angles subtended by the diameter at the circumference
Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
state the angle in the semi-circle statetheanglepropertiesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 2 |
Angle Properties of a Circle
|
Cyclic quadrilateral
Exterior angle property |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral applytheexteriorangleproperty |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 3 |
Angle Properties of a Circle
Vectors |
Problem solving
Problem solving Definition and Representation of vectors |
By the end of the
lesson, the learner
should be able to:
solve problems on angle properties of a circle state all the properties and use them selectively to solve missing angles. define a vector and a scalar, use vector notation and represent vectors. |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle Writing position vectors Adding/subtracting numbers Squaring and getting the square root of numbers |
Circles showing the
different parts Past paper questions different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 12 | 4 |
Vectors
|
Equivalent vectors
Addition of vectors |
By the end of the
lesson, the learner
should be able to:
identify equivalent vectors add vectors |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 285
|
|
| 12 | 5 |
Vectors
|
Multiplication of vectors
Position vectors |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar define a position vector illustrate position vectors on a Cartesian plane |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 12 | 6 |
Vectors
|
Column vector
Magnitude of a vector Mid - point Translation vector |
By the end of the
lesson, the learner
should be able to:
write a vector as a column vector find the magnitude of a vector calculate the midpoint of a vector findthetranslationvectorgiventheobjectandtheimage |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers square root of square root of square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 296-297
|
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