rpt math f2.doc

RPT : MATHEMATI FORM 2

STANDARD AKADEMIKSEKOLAH-SEKOLAH NEGERI JOHOR

YEARLY LESSON PLAN MATHEMATICS FORM 2 2011Catatan : masukkan tarikh seperti di dalam takwim sekolahWeeks Learning Area Learning Objectives Learning Outcomes Remark

Yearly Lesson Plan Mathematics Form 2 2011 1


3 Weeks(W1-W3)

1.0 Directed Numbers

Student will be taught to:1.1 Perform computations

involving multiplication and division of integers to solve problems

1.2 Perform computations involving combined operation of addition, subtraction, multiplication and division of integers to solve problems

1.3 Extend the concept of integers to fractions to solve problems

1.4 Extend the concept of integers to decimals to solve problems

1.5 Perform computations involving directed numbers (integers, fractions and decimals)

Student will be able to:i ) Multiply integersii) Solve problems involving multiplication of integersiii) Divide integersiv) Solve problems involving division of integers

i) Perform computations involving combined operations of:a) addition and subtractionb) multiplication and division of integers

ii) Solve problems involving combined operations of addition, subtraction, multiplication and division of integers including the use of brackets

i) Compare and order fractionsii) Perform addition, subtraction, multiplication or division on fractions

i) Compare and order decimalii) Perform addition, subtraction, multiplication or division on decimals

i) Perform addition, subtraction, multiplication or division involving two directed numbersii) Perform computations involving combination of two or more operations on directed numbers including the use of bracketsiii) Pose and solve problems involving directed numbers

3 2.0 Squares, Student will be taught to : Student will be able to:



Weeks(W4-W6)

Square Roots, Cube and Cube Roots

2.1 Understand and use the concept of squares of numbers

2.2 Understand and use the concept of square roots of positive number

2.3 Understand and use the concept of cube of numbers

2.4 Understand and use the concept of cube roots of

i) State a number multiplied by itself as a number to the power of two and vice-versa

ii) Determine the squares of numbersiii) Estimate the squares of numbersiv) Determine the squares of numbers using calculatorsv) List perfect squaresvi) Determine if a number is a perfect squarevii) Pose and solve problems involving squares of numbers

i) Determine the relationship between square and square rootsii) Determine the square roots of perfect square without using calculatoriii) Determine the square roots of numbers, without using calculatorsiv) Multiply two square rootsv) Estimate square roots of numbersvi) Find the square roots of numbers using calculatorsvii) Pose and solve problems involving square and square roots

i) State a number multiplied by itself twice as a number to the power of three and vice-versaii) Determine cubes of numbers without using calculatorsiii) Estimate cubes of numbersiv) Determine cubes of numbers using calculatorsv ) Pose and solve problems involving cubes of numbers

i) Determine the relationship between cubes and cube roots



number ii) Determine the cube roots of integers without using calculatorsiii) Determine the cube roots of numbers without using calculatorsiv) Estimate cube roots of numbersv ) Determine cube roots of numbers using calculatorv ) Determine cube roots of numbers using calculatorvi) Pose and solve problems involving cube and cube roots

vii) Perform computations involving additions, subtraction, multiplication, division and mixed operations on squares, square roots, cube and cube roots

3 Weeks(W7-W9)

3.0 Algebraic Expressions II

Student will be taught to3.1 Understand the concept of algebraic terms in two or more unknowns

3.2 Perform computations involving multiplication and division of two or more terms

3.3 Understand the concept of algebraic expressions

Student will be able to:i) Identify unknowns in algebraic terms in two or more unknownii) Identify algebraic terms in two or more unknowns with a numberiii) Identify coefficient in given algebraic terms in two or more unknownsiv) Identify like and unlike algebraic terms in two or more unknownsv ) State like terms for a given algebraic terms

i ) Find the product of two algebraic termsii) Find the quotient of two algebraic termsiii) Perform multiplication and division involving algebraic terms

i ) Write algebraic expression for a given situations using letter symbolsii ) Recognise algebraic expression in two or more unknownsiii) Determine the number of terms in given



3.4 Perform computations involving algebraic expressions

algebraic expressions in two or more unknownsiv) Simplify algebraic expression by collecting like termsv) Evaluate expression by substituting numbers for letters

i) Multiply and divide algebraic expression by a numberii) Perform - addition ] involving two - subtraction] algebraic expressions iii) Simplify algebraic expression

3 Weeks(W10

&W13

-W14)

4.0 Linear Equations

Student will be taught to:4.1 Understand and use the concept of equality

Student will be able to:i) State the relationship between two quantities by using the two quantities by using the symbols ‘=’ or ‘≠ ‘

1 Week

(W11)

MID-TERM BREAK 1

1 Week

(W12)

PENILAIAN KENDALIAN PRESTASI 1

4.2 Understand and use the concept of linear equations in one unknown

i) Recognise linear algebraic termsii) Recognise linear algebraic expressions iii) Determine if a given equation is: a) a linear equation b) a linear equation in one unknown



4.3 Understand the concept of solutionsof linear equations in one unknown

iv) Write linear equation in one unknown for given statements and vice versa

i) Determine if a numerical value is a solution of a given liner equation in one unknownii) Determine the solution of a linear equation in one unknown by trial and improvement methodiii) Solve equations in the form of a. x + a = b b. x – a = b c. ax = b d. x = b a where a, b, c are integers and x is an unknowniv) Solve equations in the form of ax + b = c, where a, b, c are integers and x is an unknownv) Solve linear equations in one unknownvi) Pose and solve problems involving linear equations in one unknown

3 Weeks(W15

-W17)

5.0 Ratio, Rates and Proportions

Student will be taught to:5.1 Understand the concept of ratio of two quantities

5.2 Understand the concept of proportion to solve problem

Student will be able to:i) Compare two quantities in the

form of a: b or aii) Determine whether given ratios are equivalent ratios are equivalent ratiosiii) Simplify ratios to the lowest termsiv) State ratios related to a given ratio

i) State whether two pairs of quantities is a proportionii) Determine if a quantity is proportional to another quantity given two values of each quantity



5.3 Understand and use the concept of ratio of three quantities two solve problem

iii) Find the value of a quantity given the ratio of the two quantities and the value of another quantity

iv) Find the value of a quantity given the ratio and the sum of the two quantities

v) Find the sum of two quantities given the ratio of the difference between the quantitiesvi) Pose and solve problems involving ratios and proportions

i) Compare three quantities in the form a : b : cii) Determine whether given ratios are equivalent ratiosiii) Simplify ratio of three quantities to the lowest termsiv) State the ratio of any two quantities given ratio of three quantitiesv) Find the ratio of a : b : c given the ratio of a : b and b : cvi) Find the value of the other quantities, given the ratio of three quantities and the value of one of the quantitiesvii) Find the value of each of the three quantities given: a) the ratio and the sum of three quantities b) the ratio and the difference between of the three quantitiesviii) Find the sum of three quantities given the ratio and the difference between two of the three quantities

ix) Pose and solve problems involving ratio of three quantities



2 Week(W18

-W19)

6.0 Pythagoras’ Theorem

Student will be taught to:6.1 Understand the relationship between the sides of a right-angled triangle

6.2 Understand and use the converse of the Pythagoras theorem

Student will be able to:i) Identify the hypotenuse of right-angled trianglesii) Determine the relationship between the lengths of the sides of a right-angled triangleiii) Find the length of the missing side of a right-angled triangle using the Pythagoras’ theoremiv) Find the length of sides of geometric shapes using Pythagoras’ theoremv) Solve problems using the Pythagoras’ theorem

i) Determine whether a triangle is a right-angled triangleii) Solve problems involving the converse Pythagoras’ theorem

2 weeks(W20

- W21)

7.0 Geometrical Construction

Student will be able to:7.1 Perform construction using straight edge (ruler and set of square and compass)

Student will be able to:i) Construct a line segment of given lengthii) Construct a triangle given the length of the sidesiii) Construct: a) perpendicular bisector of given line segment b) perpendicular to a line passing through a point on the line c) perpendicular to a line passing through a point not on the lineiv) Construct: a) Angle at 600 and 1200

b) Bisector of and anglev) Construct triangles given a) One side and two angle b) Two side and one angle vi) Construct: a) Parallel lines



b) Parallelogram given its sides and an angle

1 WeekW22

PEPERIKSAAN PERTENGAHAN TAHUN 2011

2 WeekW23

&W24

CUTI PERTENGAHAN TAHUN

2 Weeks(W25

- W26)

8.0Coordinates

Student will be taught to:8.1 Understand and use the concept of coordinates

8.2 Understand and use the concept of scales for the coordinate axes

Student will be able to: i) Identify the x-axis, y-axis and the origin on a Cartesian planeii) Plots points and state the coordinates of the point given distances from the y-axis and x-axisiii) Plot points and state the distances of the point from the y-axis and x-axis given coordinates of the pointsiv) State the coordinates of points on Cartesian plane

i) Mark the values on both axis by extending the sequence of given values on the axesii) State the scales used in given coordinates axes where: a) Scales for axes are the same b) Scales for axes are differentiii) Mark the values on both axes with reference to the scales given



8.3 Understand and use the concept of distance between two points on a Cartesian plane

8.4 Understand and use the concept of midpoints

iv) State the coordinate of a given point with reference to the scale givenv) Plot points given the coordinates with reference to the scales givenvi) Pose and solve problems involving coordinates

i) Find the distance between two points with: a) common y-coordinates b) common x-coordinatesii) Find the distance between two points using Pythagoras’ theoremiii) Pose and solve problems involving distance between two points

i) Identify the midpoint of a straight line joining two pointsii) Find the coordinates of the midpoint of a straight line joining two points with: a) common y- coordinates b) common x- coordinatesiii) Find the coordinates of the midpoint of the line joining two pointsiv) Pose and solve problems involving midpoints

2 Weeks(W27

-W28)

9.0 Loci In Two Dimensions

Student will be taught to:9.1 Understand the concept of two dimensional loci

Student will be able to:i) Describe and sketch the locus of a moving objectii) Determine the locus of points that are of: a) Constant distant form a fix point b) Equidistant from two fixed points c) Constant distance from a straight line d) Equidistant from two intersecting linesiii) Construct the locus of a set of all points that satisfied the condition:



9.2 Understand the concept of intersection of two loci

a) The point is at a constant distance from a fixed point b) The point is at equidistant from two fixed points c) The point is at a constant distant form a straight line d) The point is at equidistant from two intersecting lines

i) Determine the intersection of two loci by drawing the loci and locating the points that satisfy the conditions of the two loci

4 weeks(W29

–W32)

10.0 Circles Student will be taught to:10.1 Recognise and draw parts of a circle

Students will be able to:i) Identify circle as a set of points equidistant from a fixed pointii) Identify parts of a circle a) centre b) circumference c) radius d) diameter e) chord f) arc g) sector h) segment

iii) Draw a) a circle given the radius and centre b) a circle given the diameter c) a diameter passing through a specific poin in a circle the centre d) a chord of a given length passing through a point on the circumference e) sector given the size of the angle at the



10.2 Understand and use the concept of circumference to solve problem

10.3 Understand and use the concept of arc of a circle to solve problems

10.4 Understand and use the concept of area of a circle to solve problems

centre and radius of the circleiv) Determine the a) centre b) radius of a given by construction

i. Estimate the value of nii. Derive the formula of the circumference of a circleiii Find the circumference of a circle, given its: a) diameter b) radiusiv. Find the a) diameter b) radius given the circumference of circlev. Solve problems involving circumference of circle

i) Derive the formula the length of an arcii) Find the length of arc given the angles at the centre and the radiusiii) Find the angle at the centre given the length of the arc and the radius of a circleiv) Find the length of radius of a circle given the length of the arc and the angle at the centrev) Solve problems involving arcs of a circle

i) Derive the formula the area of a circleii) Find the area of a circle given the:

a) radiusb) diameter

iii) Find a) radius b) diameter given the area of a circle



10.5 Understand and use the concept of area of sector of a circle to solve problems

iv) Find the area of a circle given the circumference and vice versaiv) Solve problems involving area of circles

i) Derive the formula of the area of a sectorii) Find the area of a sector given the radius and angle at the centreiii) Find the angle at the centre given the radius and area of a sectoriv) Find the radius given the area of a sector and the angle at the centrev) Solve problems involving area of sectors and area of circles

1 WeekW33

PENILAIAN KENDALIAN PRESTASI 2

4 Weeks(W34

-W35

&W37

-W38

11.0 Transformations

Students will be taught to :11.1 Understand the concept of transformations

11.2 Understand and use the concept of

translations

Student will be able to:i) Identify a transformation as a one-

to-one correspondence between points in a plane

ii) Identify the object and its image in a given transformation

i) Identify a translation ii) Determine the image of an object under a given translationiii) Describe a translation a) by stating the direction and distance of the movement b) In the form a b



11.3 Understand and use the concept of reflections

11.4 Understand and use the concept of rotations

iv) Determine the properties of translationv) Determine the coordinates of a) the image, given the coordinates of the object b) the object, given the coordinates of the image under a translationvi) Solve problems involving translations

i) Identify a reflection ii) Determine the image of an object under a reflection on a given lineiii) Determine the properties of reflectionsiv) Determine: a) the image of an object given the axis of reflections b) the axis of reflection, given the object and its imagevi) Describe a reflection given the object and imagevii)Solve problems involving reflections i) Identify a rotationii) Determine the image of an object under a rotation given the centre, the angle and direction of rotationiii) Determine the properties of rotationsiv) Determine:a) image of an object, given the centre, angle and direction of rotationb) the centre, angle and direction of rotation, giventhe object and the imagev) Determine the coordinates of:a) the image, given the coordinates of the object



11.5 Understand and use the concept of isometry

11.6 Understand and use the concept of congruence

11.7 Understand and use the properties of quadrilaterals using concept of translations

b) the object, given the coordinates of the image under a rotationvi) Describe a rotation given the object and imagevii) Solve problems involving rotations

i) Identify an isometryii) Determine whether a given transformation is isometryiii) Construct pattern using isometry

i) Identify if two figures are congruentii) Identify congruency between two figures as a property of an isometryiii) Solve problems involving congruence

i) Detemine the properties ofquadrilaterals using reflections and rotations

Yearly Lesson Plan Mathematics Form 2 2011

2nd MID-TERM BREAK

2 Weeks

12.0 Solid Geometry II

Student will be taught to:12.1 Understand geometric properties of prisms, pyramids, cylinders, cones and spheres

12.2 Understand the concept of nets

Student will be able to:i) State the geometric properties of prism, pyramids, cylinders, cones and spheres

i) Draw nets for prism, pyramids,cylinders , cones and spheresii) States the types of solids given their netsiii)Construct models of solid given their nets

12.3 Understand the concept of surface area

i) State the surface areas of prisms, pyramids, cylinders and conesii) Find the surface area of prisms, pyramids, cylinders and conesiii)Find the surface area of spheres using the standard formulaiv)Find dimensions: a) length of sides b) height c) slant height d) radius e) diameterv) Solve problems involving surface areas

2 Weeks

13.0 Statistics Student will be taught to:13.1 Understand the concept of data

13.2 Understand the concept of frequency

Student will be able to:i) Classify data according to those that can be collected by: a) Counting b) Measuringii)Collect and record data systematically

i) Determine the frequency of dataii)Determine the data with a) the highest frequency b) the lowest frequency

c) frequency of a specific valueiii)Organize data by constructing a) tally chart b) frequency table

15

rpt math f2.doc

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