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RPT: MATHEMATIC FORM 3

YEARLY LESSON PLAN2012

MATHEMATICS

FORM 3

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STANDARD AKADEMIKSEKOLAH-SEKOLAH NEGERI JOHOR

YEARLY LESSON PLAN 2012

SEKOLAH : SMK PERMAS JAYA 2 TINGKATAN : 3MATA PELAJARAN : MATEMATICS

Week Learning Area Learning Objectives Learning Outcomes Remark

2 Jan 14 Jan(WEEK 1-2)

REVISION

16 Jan 21 Jan(WEEK 3)

1 .LINES ANDANGLES (II)

Students will be taught to :

Identify properties of angles

associated with transversalsand parallel lines..

Identify properties of angles

associate with parallel lines.

Find the value of an angle in

associated with parallel lines.

Identify parallel lines, based

on the properties of anglesassociated with transversals.Solving problems involvingangles associated withtransversal.

Students will be able to :i. Associate transversal and parallel

lines with

Corresponding angles

Alternate angles

Interior angles

ii. Associate properties of angles-

Corresponding angles are

equal.

Alternate angles are equal

The interior angles on the

same side of transversal are

supplementary. The sum of interior angles is

180i. find unknown angles.i i. Determine if two given lines are

paralleled.

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23 Jan 28 Jan Cuti Tahun Baru Cina

30 Jan 11 Feb

(WEEK 5 & 6)

2. Polygons II


Determine Regular Polygons.

Determine the axes of

symmetry in a polygon.

Sketching / Drawing Regular

Polygons.

Constructing an equilateral

triangle. Square and aregular hexagon.

Identify interior angles and

exterior angles of a polygon

Determine the size of an

exterior angle given theinterior angle.

Determine the sum of the

interior angle of polygons.

Students will be able to :

i. Determine regular polygonshaving equal sides and allinterior angles are equal.

i i. Determine all regular polygonshaving number of axes ofsymmetry.

i ii . Determine regular polygonshaving equal number of sides.

i. Construct a polygon.ii. Determine whether polygons are

regular or irregular.

i. determine the exterior angle andinterior angle of a polygon aresupplementary .

ii. find the value of an exterior angle when the interior angle isgiven.

iii. Calculate the value of interiorangle of a polygon

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Determine the sum of the

exterior angle of apolygon.

Determine the size of theinterior angle, exteriorangle and the number ofsides of a regularpolygon.


i. find the sum of the exterior angles of a polygon.

i. find the interior angle andexterior angle of a regularpolygon when number of sides ofpolygon is given.

i i. calculate the interior angle of aregular polygon with n sides

Interior angle = (n-2) X 180n

iii. Find the exterior angle of a

regular polygon

Exterior angle = 360Number of sides

= 360n

= sum of interior anglesnumber of sides


Solve problems involving anglesand sides of a polygon.


iv. calculate the number ofsides of a regular polygonwhen the interior angles aregiven.

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n = 360exterior angle

n = 360180 - interior angle

13 Feb 25 FEB

(WEEK 7 & 8)

3. Circles (II) Students will be taught to identify :

properties of circles involving

symmetry , chords and arcs

properties of angles in a circle

Students will be able to determine :

i. the diameter of a circle as anaxis of symmetry.the properties of chords.

ii. Solve problems involvingsymmetry, chords and arc ofcircles

i. angles subtended by an arc.ii. angles substended at the

circumference by the same arc.iii. angles subtended at thecircumference of the centre byarcs of the same length.

iv. Relationship between angle atthe centre and angle at thecircumference which aresubtended by the same arc.

v. The size of an angle subtendedat the circumference in asemicircle.

vi. Solving problems involving

subtended angles at the centreand circumference.

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Students will be taught todetermine :

Cyclic Quadrilaterals

Students will be able to identify :

Cyclic quadrilaterals

The Interior opposite angles of cyclic

quadrilaterals

The relationship between interior

opposite angles of a cyclicquadrilateral

The exterior angle and its

corresponding interior oppositeangle of a cyclic quadrilateral

The relationship between the

exterior angles and theircorresponding interior oppositeangles of a cyclic quad

Solving problems involving circles

27 FEB 3 MAC

(WEEK 9)

PENILAIAN KURIKULUM 1

5 MAC 10 MAC

(WEEK 10)

4. STATISTICS (II) Students will be taught :

Pie Chart

Students are able to:

i. Construct a pie charti i. Obtain and interpret information

from Pie Charts.iii. Solving problems involving Pie

Charts.iv. Determine suitable

representation of data.

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Mode , Median and Mean i. determine the mode for a set of data

ii. determine the mode and itscorresponding frequency fromPictograms, Bar Charts, LineGraphs And Pie Charts.

i ii . Determine the Median for a Setof Data.

iv. Determine the Median For datain a frequency table.

v. Calculate the Mean for a set ofdata

vi. Solving problems InvolvingMode, Median and Mean.

12 MAC-17 MAC(WEEK 11)

CUTI PERTENGAHAN PENGGAL

19 MAC31 MAC

(WEEK 12 & 13)

5. INDICES Students will be taught

Indices

Simplification of numbers in

Index Notation

Division Of Numbers In Indices

Students will be able toi. express repeated multiplication as

a and vice versa.ii. express numbers in index notation

i. verify aX a = a ii. simplify multiplication of

Numbers Or Algebraic Terms InIndex Notation With the SameBase.

3 X 3 = (3 X 3 ) X(3 X 3 X 3 )= 3

i ii . simplify Multiplication OfNumbers Or Algebraic TermsExpressed In Index NotationWith Different Bases.

i. simplify the division of Numbers

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Form Or Algebraic Terms ExpressedIn Index Notation With The sameBase.

Students will be taught

Index Expressions Raised To

A Power

Negative Integer Indices


i. Derive ( ) '"'" aa = .i i. Simplify numbers or algebraic

terms expressed in indexnotation raised to a power.

i ii . Simplify multiplication anddivision of numbers andalgebraic terms expressed inindex notation raised to a power

iv. Perform combined operations

involving numbers and algebraicterms

i. verifying a =

"

1

a

ii. stating a as

"

1

a

and vice

versaiii. Compute combined operation on

numbers and Algebraic TermsWith Negative indices.

Students will be taught: Students will be able to

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Fractional Indices

Calculation that involves Law

Of Indices.

i. verifying a = a

stating a as a and vice versa

ii. finding the value of a iii. stating a

iv. Performing combined operationson numbers and algebraic termsinvolving fractional indices.

i. calculations that involvescombined operations for severalnumbers in index notation.

ii. Calculation that involvescombined operations for indexexpressions with positive,negative and fractional indices.

2 APR 7 APR

(WEEK 14)

6. ALGEBRAICEXPRESSION (III)

Students will be taught

Expanding Brackets

Factorization

Addition and Subtraction Of

Algebraic Fractions.

Students will be able to:i. Expanding single bracketsii. Expanding two bracketsi. find factors of an algebraic termii. Find the common factors and

Highest Common Factors (HCF)for several Algebraic terms.

iii . Factorization Of AlgebraicExpression

iv. Factorizing and simplifyingAlgebraic Factors

i. Adding or Subtracting TwoAlgebraic Fractions With similardenominators.

ii. Adding or Subtracting TwoAlgebraic Fractions With

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Multiplication and Division Of

Algebraic Fractions

different Denominators.i. Multiplying Algebraic Fractionsii. Dividing of Algebraic Fract ionsiii. Multiplications and division of

Algebraic Fractions UsingFactorization involving CommonFactors and Difference of

Squares

9 APR14 APR(WEEK 15)

7.ALGEBRAICFORMULA

Students will be taught to recognize :

Variables And Constants

Formula

Students will be able to:i. Determine if a Quantity is a

Variable or Constant.i i. Determining And Representing A

Variableiii. Determining the possible values

of a variable.

i. Writing a formula based onstatements and situationsii. Identifying The Subject Of A

Given Formulaiii. Express a specified variable as

the subject of a formula.iv. Finding the value of a variablev. Solving problems involving

formulae.

16 APR 28 APR

(WEEK 16 & 17)

8. SOLID

GEOMETRY (III)

Students will be taught to find:

the volume of right circular

cylinders and right prisms


i. derive the formula for volume ofright circular cylinders andprisms.

ii. Calculate the volume of a rightcylinder

iii. Calculating the height of a rightcylinder

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the volume of right pyramids

and right circular cones

iv. Calculate the radius of the baseof a right cylinder.

v. Calculate the volume of a rightprism.

vi. Calculate the height of a rightprism

vii. Calculate the base area of a

right prismviii. Changing units for volumeix. Solving problems involving

volume of right cylinders andright prisms.

i. derive the formula for the volumeof pyramids and cones.

i i. Calculating the volume of a rightpyramid

8. SOLIDGEOMETRY (III)

Students will be taught to perform:

The volume of a sphere

Composite solids


iii. calculate the height of a rightpyramid

iv. calculating the area of the baseof a right pyramid

v. calculat ing the volume of a r ightcone

vi. calculating the height of a rightcone

vii. calculating the radius of the baseof a right cone

viii. solving problems that involvevolumes of a right pyramids andright cones.

i. Calculating the volume of asphere

ii. Calculating the radius of asphere.


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iii. Solving problems that involve ofsphere.

i. calculating the volume of composite solids.

Solving problems involving volume ofcomposite solids.

30 APR 5 MEI

(WEEK 18)

9. SCALLEDRAWINGS

Students will be taught to recognize :

Scale drawings


i. Sketching shapesii. Drawing geometric shapes

according to scale 1 : niii . Drawing composite shapes

according to scales.iv. Drawing composite shapes

according to given scales ongrids of different sizes.v. Redrawing shapes on grids of

different sizesvi. Solving problems involving

scales drawings

7 MEI-26 MEI(WEEK19,20, 21)

PEPERIKSAAN PERTENGAHAN TAHUN

28 MEI-9 JUN(WEEK 22 & 23)

CUTI PERTENGAHAN TAHUN

11 JUN 16 JUN(WEEK 24)

10.TRANSFORMATIONS(II)


Similarity of shapes


i. Writing similarity of shapesii. Calculating the length of


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Enlargement

unknown sides of two similarshapes.

i. identifying an enlargementii. finding the scale factor i ii . determining the centre of

enlargement

iv. determining the properties ofenlargement

v. calculat ing the scale factor andlength of the sides of an imageor object.

vi. Determining the relationshipbetween the area of the imageand its object

vii. Calculating the area of an imageor object and scale factor

viii. Solving problems involving

enlargement


11. LINEAREQUATIONS (II)

Students will be taught to:

Linear equations in two

variables

Simultaneous linear

equations in two variables.

Students will able to :i. Identifying l inear equations in

two variablesii. Deriving a linear equation in two

variablesiii . Determining the value of a

variableiv. Determining a possible solutions

for a linear equation in two

variables

i. identifying simultaneous linearequations

ii. solving simultaneous linearequations in two variables

iii . solving problems involvingsimultaneous linear equations in


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two variables.


12. LINEARINEQUALITIES


write inequalities

Linear inequalities in

one unknown

Performing operations

+ , - , X and on a

linear inequality


i. relat ionship of the greater thanand less than

ii. expressing the relat ionship

between two numberiii. the relationship of Greater than

or equal to and Less than orequal to

i. identifying l inear inequalitiesii. determining possible solutions

for an unknowniii. representing a linear equation on

a number line and vice versaiv. forming a l inear inequality

i. addition and subtraction on alinear inequality

i i. multiplicat ion and division on alinear inequality

i ii . forming l inear inequalities

Students will be taught to identify:

simultaneous linear

inequalities in one variable.


i. representing the common values

of two linear inequalities on anumber line.

i i. Determining the equivalentinequalities for two linearinequalities

iii. Solving two simultaneous linearinequalities


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2 JUL 7 JUL(WEEK 27)

13. GRAPHS OFFUNCTIONS

Students will be taught to derive :

Functions

Graphs of Functions

Students will be able to :i. relationship between two

variablesii. dependent variable and

independent variableiii . calculat ing the value of a

dependent variable

i. constructing a table of valuesii. drawing a graph of funct ionsiii. determining the values of

variables from a graphiv. solving problems involving

graphs of functions

9 JUL 14 JUL(WEEK 28) 14. RATIOS, RATESANDPROPORTIONS

(II)

Students will be taught to rate

speed

average speed

Students will be able to :i. determining rate and the twoqualities involved

ii. calculating ratesiii. calculating certain qualitiesiv. changing units for ratesv. solving problems involving rates

i. two qualities for speedii. calculat ing and interpret ing

speediii. calculating the distance and the

time for speediv. changing the units of speedv. differentiating between uniform

speed and non- uniform speed

i. calculating the average speedii. calculat ing the distance and the

time for average speed


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acceleration

iii. solving problems involving speedand average speed.

i. two qualities for accelerationii. calculat ing and interpret ing

acceleration

16 JUL 21 JUL(WEEK 29)

15. TRIGONOMETRY Students will be taught to

tangent of an acute angle in

a right-angled triangle

sine of an acute angle in a

right-angled triangle

cosine of an acute angle in a

right- angled triangle

Students will be able to :i. identifying the hypotenuse,

opposite side and adjacent sideii. determining the tangent of an

angleiii . calculat ing the tangent of an

angleiv. calculating the length of sides of

a trianglei. determining the sine of an angleii. calculat ing the side of an angleiii. calculating the length of sides of

a triangle

i. determining cosine of an angleii. calculat ing the cosine of an

angleiii. calculating the length of sides of

a triangle

18 JULAI 6OGOS(WEEK 29,30,31)

REVISION WEEK

6 OGOS 11OGOS(WEEK 32)

PEPERIKSAAN PERCUBAAN PMR SETARA NEGERI JOHOR

13 OGOS 29


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SEPT(WEEK 33-39)

REVISION WEEK

1 OKT 13 OKTWEEK 41

PEPERIKSAAN PENILAIAN MENENGAH RENDAH 2010


rpt math frm 3 2012

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