RPT Math Form 2 - 201n3n

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RPT : MATHEMATIC FORM 2

STANDARD AKADEMIKSEKOLAH-SEKOLAH NEGERI JOHOR

YEARLY LESSON PLAN 2013SEKOLAH : SMK ..MATA PELAJARAN : MATEMATIK TINGKATAN : 2

WEEK TOPIC CONTENT LEARNING OUTCOMES REMARK

1.0 DirectedNumbers

Student will be taught to:

1.1 Perform computationsinvolving multiplicationand division of integers tosolve problems

1.2 Perform computationsinvolving combinedoperation of addition,subtraction, multiplicationand division of integers tosolve problems

1.3 Extend the concept of

integers to fractions tosolve problems

1.4 Extend the concept ofintegers to decimals tosolve problems

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 combinedoperations of:a) addition and subtractionb) multiplication and division of integers

ii) Solve problems involving combined operationsof addition, subtraction, multiplication anddivision of integers including the use ofbrackets

i) Compare and order fractions

ii) Perform addition, subtraction, multiplication ordivision on fractions

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

division on decimals

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1.5 Perform computationsinvolving directednumbers (integers,fractions and decimals)

i) Perform addition, subtraction, multiplication ordivision involving two directed numbers

ii) Perform computations involving combination oftwo or more operations on directed numbersincluding the use of brackets

iii) Pose and solve problems involving directednumbers

2.0 Squares,Square Roots,Cube and CubeRoots

Student will be taught to :2.1 Understand and use the

concept of squares ofnumbers

2.2 Understand and use theconcept of square rootsof positive number

Student will be able to:i) State a number multiplied by itself as a number

to the power of two and vice-versaii) Determine the squares of numbersiii) Estimate the squares of numbersiv) Determine the squares of numbers using

calculators

v) List perfect squaresvi) Determine if a number is a perfect squarevii)Pose and solve problems involving squares of

numbers

i) Determine the relationship between squareand square roots

ii) Determine the square roots of perfect squarewithout using calculator

iii) Determine the square roots of numbers,without using calculators

iv) 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

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2.3 Understand and use theconcept of cube ofnumbers

2.4 Understand and use theconcept of cube roots ofnumber

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

ii) Determine cubes of numbers without usingcalculators

iii) Estimate cubes of numbersiv) Determine cubes of numbers using calculators

v ) Pose and solve problems involving cubes ofnumbers

i) Determine the relationship between cubes andcube roots

ii) Determine the cube roots of integers withoutusing calculators

iii) Determine the cube roots of numbers withoutusing calculators

iv) 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 rootsvii) Perform computations involving additions,

subtraction, multiplication, division and mixedoperations on squares, square roots, cubeand cube roots

3.0 AlgebraicExpressions II

Student will be taught to3.1 Understand the concept

of algebraic terms in twoor more unknowns

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

Komunikasi

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3.2 Perform computationsinvolving multiplicationand division of two ormore terms

3.3 Understand the conceptof algebraic expressions

3.4 Perform computationsinvolving algebraicexpressions

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 givensituations using letter symbols

ii ) Recognise algebraic expression in two or moreunknowns

iii) Determine the number of terms in givenalgebraic expressions in two or more unknowns

iv) Simplify algebraic expression by collecting liketerms

v) Evaluate expression by substituting numbersfor letters

i) Multiply and divide algebraic expression by anumber

ii) Perform- addition ] involving two- subtraction] algebraic expressions

iii) Simplify algebraic expression

4.0 LinearEquations

Student will be taught to:4.1 Understand and use the

concept of equality

4.2 Understand and use theconcept of linearequations in one unknown

Student will be able to:i) State the relationship between two quantities by

using the two quantities by using thesymbols = or

i) Recognise linear algebraic termsii) Recognise linear algebraic expressionsiii) Determine if a given equation is:

a) a linear equationb) a linear equation in one unknown

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

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4.3 Understand the conceptof solutions of linearequations in oneunknown

i) Determine if a numerical value is a solution of agiven liner equation in one unknown

ii) Determine the solution of a linear equation inone unknown by trial and improvement method

iii) Solve equations in the form of

a. x + a = bb. x a = bc. ax = bd. x = b

awhere a, b, c are integers and x is an unknown

iv) Solve equations in the form of ax + b = c,where a, b, c are integers and x is an unknown

v) Solve linear equations in one unknownvi) Pose and solve problems involving linear

equations in one unknown

5.0 Ratios,Rates andProportions I

Student will be taught to:

5.1 Understand theconcept of ratio oftwo quantities.

5.2 Understand theconcept ofproportion to solveproblems.

Student will be able to:

i) Compare two quantities in the form a : b

or.

ii) Determine whether given ratios are equivalentratios.

iii) Simplify ratios to the lowest terms.

iv) State ratios related to a given ratio.

i) State whether two pairs of quantities is aproportion.

ii) Determine if a quantity is proportional toanother quantity given two values ofeach quantity.

iii) Find the value of a quantity given the ratio ofthe two quantities and the value of anotherquantity.

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5.3 Understand and use theconcept of ratio of threequantities to solveproblems.

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

v) Find the sum of two quantities given the ratio ofthe quantities and the difference between thequantities.

vi) Pose and solve problems involving ratios and

proportions.

i) Compare three quantities in the form a : b : c.ii) Determine whether given ratios are equivalent

ratios.iii) Simplify ratio of three quantities to the lowest

terms.iv) State the ratio of any two quantities given ratio

of three quantities.v) Find the ratio ofa : b : c given the ratio ofa :b

and b : c.vi) Find the value of the other quantities, given the

ratio of three quantities and the value of one ofthe quantities.

vii) Find the value of each of the three quantitiesgiven:a) the ratio and the sum of three quantitiesb) the ratio and the difference between two of

the three quantities.viii) 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.

6.0 PythagorasTheorem

Student will be taught to:6.1 Understand the

relationship between thesides of a right-angledtriangle

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-

Perkaitan

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6.2 Understand and use the

converse of thePythagoras theorem

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

Perwakilan(perwakilan grafik dansymbol)

Penaakulan induktif

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7.0 GeometricalConstruction

Student will be able to:7.1 Perform construction

using straight edge (rulerand set of square andcompass)

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 segmentb) perpendicular to a line passing through a

point on the linec) 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 angleb) Two side and one angle

vi) Construct:

a) Parallel linesb) Parallelogram given its sides and an angle

Komunikasi

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8.0Coordinates

Student will be taught to:8.1 Understand and use the

concept of coordinates

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

Komunikasi

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concept of scales for thecoordinate axes

8.3 Understand and use theconcept of distancebetween two points on aCartesian plane

8.4 Understand and use theconcept of midpoints

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 sameb) Scales for axes are different

iii) Mark the values on both axes with reference tothe scales given

iv) State the coordinate of a given point withreference to the scale given

v) Plot points given the coordinates withreference to the scales given

vi) Pose and solve problems involving coordinates

i) Find the distance between two points with:a) common y-coordinatesb) common x-coordinates

ii) Find the distance between two points usingPythagoras theorem

iii) Pose and solve problems involving distancebetween two points

i) Identify the midpoint of a straight line joiningtwo points

ii) Find the coordinates of the midpoint of astraight line joining two points with:a) common y- coordinatesb) common x- coordinates

iii) Find the coordinates of the midpoint of the linejoining two points

iv) Pose and solve problems involving midpoints

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9.0 Loci In TwoDimensions

Student will be taught to:9.1 Understand the concept

of two dimensional loci

9.2 Understand the conceptof intersection of two 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 pointb) Equidistant from two fixed pointsc) Constant distance from a straight lined) Equidistant from two intersecting lines

iii) Construct the locus of a set of all points thatsatisfied the condition:a) The point is at a constant distance from a

fixed pointb) The point is at equidistant from two fixed

pointsc) The point is at a constant distant form a

straight lined) The point is at equidistant from two

intersecting lines

i) Determine the intersection of two loci bydrawing the loci and locating the points thatsatisfy the conditions of the two loci

Komunikasi

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10.0 Circles Student will be taught to:

10.1 Recognise and drawparts of a circle

Students will be able to:

i. Identify circle as a set of points equidistant froma fixed point.

ii. Identify parts of a circle:a) centerb) circumferencec) radiusd) diametere) chordf) arcg) sector

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10.2 Understand and use theconcept of

circumference to solveproblem

10.3 Understand and use theconcept of arc of acircle to solve problems

10.4 Understand and use theconcept of area of acircle to solve problems

h) segmentiii. Draw :

a) a circle given the radius and centreb) a circle given the diameterc) a diameter passing through a specific point

in a circle given the centre.

iii) Drawa) a circle given the radius and centreb) a circle given the diameterc) a diameter passing through a specific point

in a circle the centred) a chord of a given length passing through a

point on the circumferencee) sector given the size of the angle at the

centre and radius of the circleiv) Determine the

a) centreb) 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) diameterb) radius

iv. Find thea) diameter

b) radiusgiven the circumference of circle

v. Solve problems involving circumference ofcircle

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

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10.5 Understand and use theconcept of area of sectorof a circle to solve

problems

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) radius

b) diameteriii) Find

a) radiusb) diametergiven the area of a circle

iv) Find the area of a circle given thecircumference and vice versa

iv) 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 centre

v) Solve problems involving area of sectors andarea of circles

11.0Transformations

Students will be taught to :11.1 Understand the concept

of transformations

11.2 Understand and use theconcept of translations

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

correspondence between points in a planeii) Identify the object and its image in a given

transformation

i) Identify a translationii) Determine the image of an object under a given

translation

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11.3 Understand and use theconcept of reflections

11.4 Understand and use theconcept of rotations

iii) Describe a translationa) by stating the direction and distance of the

movementb) In the form a

biv) Determine the properties of translation

v) Determine the coordinates ofa) the image, given the coordinates of the

objectb) the object, given the coordinates of the

image under a translationvi) Solve problems involving translationsi) Identify a reflectionii) Determine the image of an object under a

reflection on a given line

iii) Determine the properties of reflectionsiv) Determine:

a) the image of an object given the axis ofreflections

b) the axis of reflection, given the object and itsimage

vi) Describe a reflection given the object andimage

vii)Solve problems involving reflections

i) Identify a rotationii) Determine the image of an object under a

rotation given the centre, the angle anddirection of rotation

iii) 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, given

the object and the imagev) Determine the coordinates of:

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11.5 Understand and use theconcept of isometry

11.6 Understand and use theconcept of congruence


properties ofquadrilaterals usingconcept of translations

a) the image, given the coordinates of the objectb) 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 of

quadrilaterals using reflections and rotations

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12.0 SolidGeometry II

Student will be taught to:12.1 Understand geometric

properties of prisms,pyramids, cylinders,cones and spheres

12.2 Understand the conceptof nets

12.3 Understand the conceptof surface area

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 spheres

ii) States the types of solids given their netsiii)Construct models of solid given their nets

i) State the surface areas of prisms, pyramids,cylinders and cones

ii) Find the surface area of prisms, pyramids,cylinders and cones

iii)Find the surface area of spheres using thestandard formula

iv)Find dimensions:a) length of sidesb) heightc) slant heightd) radiuse) diameter

v) Solve problems involving surface areas

Komunikasi

Perkaitan

Perwakilan grafik

Menaakul secarainduktif

Penyelesaianmasalah

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

of data

13.2 Understand the conceptof frequency

13.3 Represent and interpret

Student will be able to:i) Classify data according to those that can be

collected by:a) Countingb) Measuring

ii)Collect and record data systematically

i) Determine the frequency of dataii)Determine the data with

a) the highest frequencyb) the lowest frequencyc) frequency of a specific value

iii) Organize data by constructinga) tally chartb) frequency table

i) Construct pictograms to represent dataii) Obtain information from pictograms

Komunikasi

Perkaitan

Perwakilan grafik

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RPT Math Form 2 - 201n3n