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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING AND REVISION |
|||||||
| 2 | 1 |
Cube and cube roots
|
Cubes
|
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 2 | 2 |
Cube and cube roots
Reciprocals Reciprocals |
Use of tables to find cubes
Cube roots using factor method Reciprocal of numbers by division Reciprocal of number from tables |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers Find cube roots using factor method Find the reciprocal of number by division Find reciprocal of numbers from the table |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 |
|
| 2 | 3 |
Indices and Logarithms
|
Indices
Negative indices Fractional indices Logarithms |
By the end of the
lesson, the learner
should be able to:
State the laws of indices Find the negative indices Find the fractional indices Write numbers in logarithms and vice versa |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 7-8 discovering secondary pg 10 |
|
| 2 | 4 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms Logarithms of positive numbers less than 1 |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers Read from the table logarithms of numbers Find the logarithms of positive numbers less than 1 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 2 | 5-6 |
Indices and Logarithms
Gradient and equations of straight lines |
Antilogarithms
Applications of logarithms Roots Roots Gradient Gradient Equation of a line Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find the antilogarithms of numbers Use multiplication and division law of indices to find logarithms Use log tables to find roots of numbers Find logarithms of root numbers 2 Find gradient of straight line State the type of gradient Find equation of a line passing through two points Find linear equations in the form y=mx+c |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 19-20 discovering secondary pg 17 KLB Mathematics Book Two Pg 27-29 discovering secondary pg23 |
|
| 2 | 7 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Find the y-intercept Draw the graph of a straight line Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 3 | 1 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence Reflection and congruence |
Parallel lines
Symmetry Reflection Some general deductions using reflection |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines Find the lines of symmetry of shapes Draw an image under reflection Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 3 | 2 |
Reflection and congruence
|
Some general deductions using reflection
Congruence Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Deduce some general rules of reflection Determine shapes that are congruent State the conditions that satisfy congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 57-59 Discovering secondary pg 37 |
|
| 3 | 3 |
Reflection and congruence
Rotation Rotation |
Congruent triangles
The ambiguous case Introduction Centre of rotation |
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles Determine the two angles that are congruent Draw an image of an object under rotation Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 3 | 4 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane Rotation in the Cartesian plane 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 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 74-75 Discovering secondary pg 46 |
|
| 3 | 5-6 |
Rotation
Similarity and enlargement |
Rotational symmetry of plane figures
Rotational symmetry of solids Rotation and congruence Similar figures Similar figures Enlargement Enlarge objects |
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 Determine the relationship between rotation and congruence Calculate lengths of objects 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 |
Apparatus
Books Videos Charts Apparatus Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 78-80 Discovering secondary pg 49 KLB Mathematics Book Two Pg 87-88 Discovering secondary pg 52 |
|
| 3 | 7 |
Similarity and enlargement
|
Linear scale factor
Linear scale factor Negative scale factor Positive and negative 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 Find the negative scale factor Solve problems on linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 4 | 1 |
Similarity and enlargement
|
Area scale factor
Area of scale factor Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the area scale factor Use area scale factor to solve problems Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 106-107 Discovering secondary pg 62 |
|
| 4 | 2 |
Similarity and enlargement
Trigonometry Trigonometry |
Volume scale factor
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:
Use volume scale factor to solve problems 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 110-111 Discovering secondary pg 64 |
|
| 4 | 3 |
Trigonometry
|
Application to real life Situation
Trigonometry Tangent, sine and cosines Trigonometric Table Angles and sides of a right angled triangle |
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 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 |
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 Using mathematical tables Finding the length using sine ratio Finding the length using Cosine and tangent ratio Finding the angle using Sine, cosine and tangent |
Mathematical table
Charts illustrating tangent, sine and cosine Mathematical table Charts Chalkboard |
KLB BK2 Pg 159 Discovering secondary pg 67
|
|
| 4 | 4 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles Relationship between tangent, sine and cosine |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles Use the relationship of sine and cosine of complimentary angles in solving problems Relate the three trigonometric ratios, the sine, cosine and tangent |
Using established relationship to solve problems
Solving problems involving the sines and cosines of complimentary angles Relating the three trigonometric ratios |
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 4 | 5-6 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems Logarithms of Sines Logarithms of cosines And tangents 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) Area of a triangle using the formula (A = ? absin?) |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables Solve trigonometric problems without using tables Read the logarithms of sines Read the logarithm of cosines and tangents from mathematical tables 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 - Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
Solving trigonometric problems of special angles Solving problems by reading logarithm table of sines Reading logarithms of cosine and tangent from mathematical table 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 Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle |
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table Chalkboard Mathematical table 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 146-147
KLB BK2 Pg 149-152 |
|
| 4 | 7 |
Trigonometry
|
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium Area of a kite |
By the end of the
lesson, the learner
should be able to:
Solve problems on the area of a triangle Given three sizes using the formula A = ?s(s-a)(s-b)(s-c) Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium Find the area of a kite |
Solving problems on the area of triangle given three sides of a triangle
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium Calculating the area of a Kite |
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 157-158
|
|
| 5 | 1 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon 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 regular polygon 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 - Define what a segment of a circle is - Find the area of a segment of a circle |
Calculating the area of a regular polygon
Finding the area of irregular polygons 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 ? |
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors Chart illustrating a Segment |
KLB BK2 Pg 164
|
|
| 5 | 2 |
Trigonometry
|
Area of a common region between two circles given the angles and the radii
Area of a common region between two circles given only the radii of the two circles and a common chord Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism |
By the end of the
lesson, the learner
should be able to:
Find the area of common region between two circles given the angles ? Education Plus Agencies Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Calculating the area of a segment
Finding the area of a common region between two intersecting Defining a prism Calculating the surface area of the prisms |
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles Models of cylinder, triangular and hexagonal prisms |
KLB BK 2 Pg 175
|
|
| 5 | 3 |
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 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 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 Find the surface area of a frustrum of a cone and pyramid |
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 Finding the surface area of a frustrum of a cone and a pyramid |
Models of a square based pyramid
Models of a Rectangular based pyramid Models of a cone Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 178
|
|
| 5 | 4 |
Trigonometry
|
Finding the surface area of a sphere
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 sphere given the radius of a sphere 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 sphere
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 sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere Models of a triangular based prism Models of hexagonal based prism |
KLB BK 2 Pg 183
|
|
| 5 | 5-6 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone Volume of a frustrum of a cone Volume of a frustrum of a pyramid 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 a square based pyramid and rectangular based pyramid Find the volume of a cone 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 Find the volume of a hemisphere Use the knowledge of the area of triangles in solving problems in real life situation |
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 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 Working out the volume of a hemisphere Solving problems in real life using the knowledge of the area of triangle |
Models of square and Rectangular based Pyramids
Model of a cone Models of a frustrum of a cone Models of frustrum of a pyramid Model of a sphere Mathematical table Models of hemisphere Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 189-190
KLB BK 2 Pg 194 |
|
| 5 | 7 |
Trigonometric Ratios
|
Tangent of an angle
Tangent of an angle Using tangents in calculations Application of tangents |
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 calculate the size of an angle given two sides and an angle from tables workoutfurtherproblemsusingtangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 6 |
CAT 1 TERM ONE |
|||||||
| 7 | 1 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle Application of sine and cosine |
By the end of the
lesson, the learner
should be able to:
find the sine of an angle by calculations and through tables findthecosineofananglebycalculationsandthroughtables applysinestoworkoutlengthsandangles.Applycosinetoworkoutlengthandangles |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 2 |
Trigonometric Ratios
|
Complementary angles
Special angles Application of Special angles Logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
define complementary angles. Work out sines of an angle given the cosine of its complimentary and vice versa find the sine, cos, and tan of 300,600,450,00,900, without using tables apply the knowledge of special angles to solve problems solveproblemsusinglogarithmsofsinescosinesandtangents |
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 | 3 |
Trigonometric Ratios
Area of A Triangle |
Relationship between sin, cos and tan
Application to real life situation Problem solving Area = |
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 solveproblemsontrigonometry derivetheformulaArea= |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables Problem solving Discussions Drawing triangles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 7 | 4 |
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
|
|
| 7 | 5-6 |
Area of Quadrilaterals
Area of Quadrilaterals Area of Part of a Circle Area of Part of a Circle Area of Part of a Circle |
Area of parallelogram
Area of Rhombus Area of trapezium and kite Area of regular polygons Problem solving Area of a sector Area of a segment Common region between two circles |
By the end of the
lesson, the learner
should be able to:
find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles findtheareaofaregularpolygon. solveproblemsontheareaofaregularpolygon find the area of a regular polygon by using the formula A= solve problems on area of quadrilaterals and other polygons findareaofasector find area of a segment find the area of the common region between two circles. |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions Learners solve problems Drawing circles Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Mathematical tables Chalkboard illustrations 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. 160
KLB Maths Bk2 Pg. 165-166 |
|
| 7 | 7 |
Area of Part of a Circle
Surface Area of Solids |
Common region between two circles
Problem solving Surface area of prisms |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles and solve problems related to that solveproblemsinvolvingtheareaofpartofacircle 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 Chart illustrating the area of a minor segment Chalkboard illustrations Prism Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 8 |
HALF TERM BREAK |
|||||||
| 9 | 1 |
Surface Area of Solids
|
Surface area of pyramid
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 pyramid findthesurfaceareaofacone findthesurfaceareaoffrustrumwithcircularbase findthesurfaceareaoffrustrumwithsquarebase |
Drawing pyramids
Measuring lengths/ angles Opening pyramids to form nets Discussions Calculating area Drawing cones/frustums Making cones/frustums Discussions Learners find the surface area |
Pyramids with square base, rectangular base, triangular base
Cone Chart illustrating the surface area of a frustrum Chart illustrating frustrum with a square base |
KLB Maths Bk2 Pg. 178
|
|
| 9 | 2 |
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
|
|
| 9 | 3 |
Volume of Solids
|
Volume of prism
Volume of pyramid 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 prism findthevolumeofapyramid findthevolumeofacone findthevolumeofasphere |
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 Identifying spheres Sketching spheres Measuring radii/ diameters |
Prism
Pyramid Cone Sphere |
KLB Maths Bk2 Pg. 186-188
|
|
| 9 | 4 |
Volume of Solids
|
Volume of frustrum
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 circular base findthevolumeofafrustrumwithasquarebase findthevolumeofafrustrumwitharectangularbase apply the knowledge of volume of solids to real life situations. |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with circular base
Frustrum with square base Frustrum with rectangular base Models of pyramids, prism, cones and spheres |
KLB Maths Bk2 Pg. 192-193
|
|
| 9 | 5-6 |
Volume of Solids
Quadratic Expressions and Equations Quadratic Expressions and Equations |
Problem solving
Expansion of Algebraic Expressions Quadratic identities Application of identities Factorise the Identities Factorise other quadratic expressions Factorisation of expressions of the form k2-9y2 |
By the end of the
lesson, the learner
should be able to:
solve problems on volume of solids expand algebraic expressions derivethethreeAlgebraicidentities identify and use the three Algebraic identities factorise the identities factorise quadratic expressions factorise a difference of two squares |
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 Real-life experiences Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 196
KLB Maths Bk2 Pg. 204-205 |
|
| 9 | 7 |
Quadratic Expressions and Equations
|
Simplification of an expression by factorisation
Solving quadratic equations The formation of quadratic equations Formation and solving of quadratic equations from word problems |
By the end of the
lesson, the learner
should be able to:
simplify a quadratic expression by factorisation solve quadratic equations form quadratic equations from information form and solve quadratic equations from word problems |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 205-208
|
|
| 10 | 1 |
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
|
|
| 10 | 2 |
Linear Inequalities
|
Number line
Inequalities in one unknown Graphical representation Graphical solutions of simultaneous linear inequalities |
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 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
|
|
| 10 | 3 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs Problem solving. |
By the end of the
lesson, the learner
should be able to:
solve simultaneous linear inequalities graphically calculate the area of the wanted region 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
|
|
| 10 | 4 |
Linear Motion
|
Displacement, velocity, speed and acceleration
Distinguishing terms Distinguishing velocity and acceleration |
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 determine velocity and acceleration |
Teacher/pupil discussion
Plotting graphs Drawing graphs Learners determine velocity and acceleration |
Graph papers
Stones Pieces of paper |
KLB Maths Bk2 Pg. 228-238
|
|
| 10 | 5-6 |
Linear Motion
Linear Motion Statistics Statistics Statistics |
Distance time graphs
Interpret the velocity time graph Interpreting graphs Relative speed (objects moving in the same direction) Problem solving Definition Collection and organization of data Frequency tables |
By the end of the
lesson, the learner
should be able to:
plot and draw the distance time graphs interpret a velocity time graph interpret graphs of linear motion solveproblemsonobjectsmovingindifferentdirections solve problems on linear motion definestatistics collect and organize data drawafrequencydistributiontable |
Plotting graphs
Drawing graphs Learners interpret a velocity time graph Learners interpret graphs Teacher/pupil discussion Question answer method Collecting data Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Graph papers
Stones Pieces of paper Drawn graphs 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. 228-238
KLB Maths Bk2 Pg.330 |
|
| 10 | 7 |
Statistics
|
Grouped data
Mean of ungrouped data Median 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 calculate the median of ungrouped data and state the mode |
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
|
Mean of ungrouped data
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:
calculate the mean of a grouped data 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 | 2 |
Statistics
|
Pictogram
Histograms Frequency polygons |
By the end of the
lesson, the learner
should be able to:
represent data in form of pictures represent data in form of histograms represent data in form of frequency polygons |
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 Histograms drawn. Data |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 3 |
Statistics
Angle Properties of a Circle |
Histograms with uneven distribution
Interpretation of data Problem solving Arc chord segment |
By the end of the
lesson, the learner
should be able to:
draw histograms with uneven distribution interpret data from real life situation solveproblemsonstatistics identify an arc, chord and segment |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion Problem solving Discussions Drawing circles Measuring radii/ diameters/angles Identifying the parts of a circle |
Data with uneven classes
Real life situations Past paper questions Chart illustrating arc chord and segment |
KLB Maths Bk2 Pg. 241-252
|
|
| 11 | 4 |
Angle Properties of a Circle
|
Angles subtended by the same arc in the same segment
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 angles subtended by an arc of a circle at the circumference relateandcomputeanglesubtendedbyanarcofacentreandatthecircumference statetheangleinthesemi-circle statetheanglepropertiesofacyclicquadrilateral |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended by the same arc in same segment are equal
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 5-6 |
Angle Properties of a Circle
Angle Properties of a Circle Vectors Vectors Vectors |
Cyclic quadrilateral
Exterior angle property Problem solving Problem solving Definition and Representation of vectors Equivalent vectors Addition of vectors |
By the end of the
lesson, the learner
should be able to:
find and compute angles of a cyclic quadrilateral applytheexteriorangleproperty solveproblemsonanglepropertiesofacircle state all the properties and use them selectively to solve missing angles. define a vector and a scalar, use vector notation and represent vectors. identify equivalent vectors add vectors |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle 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 square root of square root of |
Circles showing the
different parts different parts Past paper questions Circles showing the different parts Past paper questions 1x2 matrices Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 264-278
|
|
| 11 | 7 |
Vectors
|
Multiplication of 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:
multiply a vector and a scalar 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 square root of |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 12 |
END OF TERM EXAM |
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