matematik tingkatan 3. sukatan pelajaran

7/30/2019 Matematik tingkatan 3. sukatan pelajaran

1/19

Scheme Of Work Form 3

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Learning area

Weeks

Learning

objectives

Learning outcomes

Students will be able to:

Suggested teaching and

learning activities

GENERICS CCTS Moral values

1.

Lines and

Angles II( week)

1.1

Understand and

use properties ofangles associated

with transversal

and parallel lines

I

II

III

IV

V

Identify:

a) transversals

b) correspondingangles

c) alternate angles

d) interior angles

Determine that for parallel lines:

a) corresponding angles areequal

b) alternate angles are equalc) sum of interior angles is

1800

Find the values of:

a) corresponding anglesb)

alternate anglesc) interior angles

associated with parallel lines

Determine if two given lines are

parallel based on the properties

of angles associated with

transversals

Solve problems involving

properties of angles associated

with transversals

Explore the properties ofangles associated with

transversal using dynamicgeometry software,

geometry sets, acetate

overlays or tracing paper

Discuss when alternate andcorresponding angles are

not equal

Discuss when all anglesassociated with

transversals are equal and

the implication on its

converse

Communication

Enquiry

discovery

Mastery learning

Multiple

intelligence

Identifying

patterns

Identifying

relations

Comparing and

differentiating

Classifying

Finding all

possible

solutions

Rational

Sincerity

Cooperation

2.

Polygons II( weeks)

2.1

Understand theconcept of regular

polygons

I

II

III

IV

V

Determine if a given polygon is

a regular polygon.Find

a) the axes of symmetryb) the number of axes of

symmetry

of a polygon

Sketch regular polygons

Draw regular polygons by

dividing equally the angle at the

centre

Construct equilateral triangles,

Use models of polygonsand surroundings toidentify regular polygons

Explore properties ofpolygons using rulers,

compasses, protractors,

grid papers, templates,

geoboards, flash cards

and dynamic geometry

software

Include examples ofnonregular polygons

Constructivism

Contextual

learning

Multiple

intelligence

ICT

Drawing

diagrams

Making

generalizations

Arranging

sequentially

Rational

Punctuality

Neatness

Systematic


2/19


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Weeks

Learning

objectives

Learning outcomes



learning activities


squares and regular hexagons developed through

activities such as folding

papers in the shape ofpolygons

Relate to applications inarchitecture

2.2

Understand and

use the knowledge

of exterior and

interior angles of

polygons

I

II

III

IV

V

VI

Identify the interior angles and

exterior angles of a polygon

Find the size of an exterior

angle when the interior angle of

a polygon is given and vice versa

Determine the sum of the interior

angles of polygons

Determine the sum of the

exterior angles of polygonsFind

a) the size of an interiorangles of a regular

polygon given the number

of sidesb) the size of an exterior

angle of a regular polygon

given the number of sides

c) the number of sides of aregular polygon given the

size of the interior or

exterior angleSolve problems involving angles

and sides of polygons

Explore angles of differentpolygons through activities

such as drawing, cutting

and pasting, measuring

angles and using dynamic

geometry software

Investigate the number oftriangles formed by

dividing a polygon intoseveral triangles by joining

one chosen vertex of the

polygon to the other

vertices

Include examples fromeveryday situations

Communication

Mastering

learning

Constructivism

Cooperative

learning

Contextual

learning

ICT

Identifying

patterns

Identifying

relations

Using algorithm

and relationship

Finding all

possible

solutions

Honesty

Sharing

Cooperation

Hardworking

3.

Circles II

( weeks)

3.1

Understand and

use properties of

circles involving

symmetry, chords

and arcs

I

II

Identify a diameter of a circle as

an axis of symmetry

Determine that:

a) a radius that isperpendicular to a chord

divides the chord into

two equal parts and vice

versa

Explore through activitiessuch as tracing, folding,

drawing and measuring

using compasses, rulers,

threads, protractor, filter

papers and dynamic

geometry software

Communication

Enquiry

discovery

Mastery learning

ICT

Drawing

diagrams

Using algorithm

and relationship

Recognizing and

Neatness

Systematic

Rational

Diligence


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Learning

objectives

Learning outcomes



learning activities


III

b) perpendicular bisectorsof two chords intersect

at the centrec) two chords that are

equal in length are

equidistant from the

centre and vice versa

d) chords of the samelength cut arcs of the

same length


symmetry, chords and arcs of

circles

representing

Finding allpossible

solutions

3.2Understand and

use properties of

angles in circles

I

II

III

IV

V

VI

Identify angles subtended by anarc at the centre and at the

circumference of a circle

Determine that angles subtended

at the circumference by the same

arc are equal

Determine that angles subtended:

a) at the circumferenceb) at the centre

by arcs of the same length are

equal

Determine the relationship

between angle at the centre andangle at the circumference

subtended by an arc

Determine the size of an angle

subtended at the circumference

in a semicircle

Solve problems involving angles

subtended at the centre and

angles at the circumference of

circles

Explore properties ofangles in a circle bydrawing, cutting and

pasting, and using dynamic

geometry software.

Communication

Enquiry

discovery

Mastery learning

ICT

Drawingdiagrams

Using algorithm

and relationship

Recognizing and

representing

Finding all

possible

solutions

Neatness

Systematic

Rational

Diligence


4/19


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Learning area

Weeks

Learning

objectives

Learning outcomes



learning activities


3.3

Understand and

use the concept ofcyclic

quadrilaterals

I

II

III

IV

V

VI

VII

Identify cyclic quadrilaterals

Identify the interior opposite

angles of cyclic quadrilateralsDetermine the relationship

between interior opposite angles

of cyclic quadrilaterals

Identify exterior angles and the

corresponding interior opposite

angle of cyclic quadrilaterals


between exterior angles and the

corresponding interior opposite

angle of cyclic quadrilaterals

Solve problems involving angles

of cyclic quadrilateralsSolve problems involving circles

Explore properties ofcyclic quadrilaterals by

drawing, cutting andpasting and using dynamic

geometry software

Communication

Enquiry

discovery

Mastery learning

ICT

Drawing

diagrams

Using algorithm

and relationship

Recognizing and

representing

Finding all

possible

solutions

Neatness

Systematic

Rational

Diligence

4.

Statistics II

( weeks)

4.1

Represent and

interpret data in

pie charts to solve

problems

I

II

III

IV

Obtain and interpret information

from pie charts

Construct pie charts to represent

data

Solve problems involving pie

charts

Determine suitable

representation of data

Use everyday examplesfrom sources such as

newspapers, magazines,reports and the internet

Use calculators andcomputer software in

constructing pie charts

Contextual

learning

Communication

Mastery learning

ICT

Collecting and

handling data

Representing

and interpreting

data

Tolerance

Sharing

Kindness

Cooperation

4.2

Understand anduse the concept of

mode, median and

mean to solve

problems

I

IIIII

IV

V

VI

Determine the mode of

a)

sets of datab) data given in frequencytables

Determine the mode and the

respective frequency from

pictographs, bar charts, line

graphs and pie charts

Determine the median for sets of

data

Determine the median of data in

frequency tables

Use sets of data fromeveryday situations toevaluate and to forecast

Discuss appropriatemeasurement in different

situations

Use calculators to calculatethe mean for large sets of

data

Discuss appropriate use ofmode, median and mean in

certain situations

Contextual

learning

Communication

Mastery learning

ICT

Simulation Punctuality

Determination

Diligence

Rational


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Weeks

Learning

objectives

Learning outcomes



learning activities


Calculate the mean of

a) sets of datab)

data in frequency tables

Solve problems involving mode,

median and mean

5.

Indices

( weeks)

5.1

Understand the

concept of indices

I

II

III

Express repeated multiplication

asn

a and vice versa

Find the value ofn

a

Express numbers in index

notation

Explore indices usingcalculators and spread

sheets

Enquiry

discovery

ICT

Logical

reasoning

Rational

5.2

Perform

computations

involving

multiplication of

numbers in index

notation

I

II

III

Verifynmnm

aaa

Simplify multiplication of :

a) numbersb) algebraic termsexpressed in index notation with

the same base

Simplify multiplication of:

c) numbersd) algebraic terms

expressed in index notation with

the different bases

Explore laws of indicesusing repeated

multiplication andcalculators

Constructivism

Multiple

intelligent

Selfaccess

learning

ICT

Logical

reasoning

Making

inferences

Working out

mentally

Identifying

patterns

Rational

Systematic

Sharing

5.3

Perform

computationinvolving division

of numbers in

index notation

I

IIVerify

nmnmaaa

Simplify division of :

e) numbersf) algebraic terms


the same base

Constructivism

Multipleintelligent

Selfaccess

learning

Logical

reasoning

Making

inferences

Working out

mentally

Identifying

patterns

Rational

Systematic

Sharing


6/19


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objectives

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learning activities


5.4

Perform

computationsinvolving raising

numbers and

algebraic terms in

index notation to a

power

I

II

IIIIV

Derive mnnm aa

Simplifya) numbersb) algebraic terms

expressed in index notation

raised to a power

Simplify multiplication and

division of

a) numbersb) algebraic terms


different bases raised to a power

Perform combined operations

involving multiplication,

division and raised to a power on


Constructivism

Multipleintelligent

Selfaccess

learning

Logical

reasoning

Making

inferences

Working out

mentally

Identifying

patterns

Rational

Systematic

Sharing

5.5

Perform

computations

involving negative

indices

I

II

III

Verifyn

n

aa

1

Staten

n

aasa

1and vice

versa.

Perform combined operations ofmultiplication, division and

raising to a power involving

negative indices on


Explore using repeatedmultiplications and the law

of indices

Constructivism

Multiple

intelligent

Selfaccess

learning

Logical

reasoning

Making

inferences

Working out

mentally

Identifying

patterns

Rational

Systematic

Sharing

5.6

Perform

computations

involving

IVerify nn aa

1

Explore using repeated

multiplications and the law

of indices

Constructivism

Multiple

intelligent

Logical

reasoning

Making

Rational

Systematic


7/19


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Weeks

Learning

objectives

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learning activities


fractional indices II

III

IV

V

VI

State nn aasa

1

and vice

versa.

Find the value of na

1

State nm

a as

a) m

nn

m

aora

11

b) mnn m aora Perform combined operations of

multiplication, division andraising to a power involving

fractional indices on


Find the value of nm

a

Selfaccess

learning

inferences

Working outmentally

Identifying

patterns

Sharing

5.7

Perform

computation

involving laws ofindices

I

II

Perform combined operations of

multiplication, division and

raised to a power or combination

of these operations on severalnumbers expressed in index

notation

Perform combined operations of

multiplication, division and

raised to a power involving

positive, negative and fractional

indices

Explore using repeatedmultiplications and the law

of indices

Communication

Mastery learning

Future studies

Logical

reasoning

Comparing anddifferentiation

Using algorithm

and relationship

Identifying

patterns

Politeness

Neatness

Hardworking


8/19


9/19


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Learning area

Weeks

Learning

objectives

Learning outcomes



learning activities


III Perform multiplication and

division of two algebraic

fractions using factorisationinvolving common factors and

the different of two squares

7.

Algebraic

Formulae

( weeks)

7.1

Understand the

concept of

variables and

constants

I

II

III

Determine if a quantity in a

given situation is a variable or a

constant

Determine the variable in a given

situation and represent it with a

letter symbol

Determine the possible values of

a variable in a given situation

Use examples of everydaysituations to explain

variables and constants

Communication

Contextual

learning

Identifying

relations

Recognizing and

representing

Finding all

possible

solutions

Rational

Determination

Punctuality

7.2Understand the

concept of

formulae to solve

problems

I

II

III

IV

V

Write a formula based on a givena) statementb) situation

Identify the subject of a given

formula

Express a specified variable as

the subject of a formula

involving:

a) one of the basicoperations +

b) powers or rootsc) combination of thebasic operations and

powers or roots

Find the value of a variable

when it is:

a) the subject of theformula

b) not the subject of theformula


formulae

Contextuallearning

Mastering

learning

Cooperative

learning

Identifyingrelations

Recognizing and

representing

Arranging

sequentially

Finding all

possible

solutions

Rational

Determination

Punctuality


10/19


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Weeks

Learning

objectives

Learning outcomes



learning activities


8.

Solid Geometry

III( weeks)

8.1

Understand and

use the concept ofvolume of right

prisms and right

circular cylinders

to solve problems

I

II

III

IV

V

VI

VII

VIII

IX

X

Derive the formula for volume of

a) prismsb)

cylindersCalculate the volume of a right

prism in cubic units given the

height and

a) the area of the baseb) dimensions of the base

Calculate the height of a prism

given the volume and the area of

the base

Calculate the area of the base of

a prism given the volume and the

height

Calculate the volume of acylinder in cubic units given:

a) area of the base and theheight

b) radius of the base andthe height

of the cylinder

Calculate the height of a cylinder

given the volume and the radius

of the base

Calculate the radius of the base

of a cylinder given the volume

and the height

Convert volume in one metric

unit to another

a) mm3 , cm3and m3b) cm3 , ml and l

Calculate volume of liquid in a

container


volume of prisms and cylinders

Use concrete models toderive the formula

Relate the volume of rightprisms to right circularcylinders

Communication

Constructivism

Mastery learning

Multiple

intelligence

Working out

mentally

Comparing and

differentiating

Using analogies

Finding all

possible

solutions

Diligence

Determination

Honesty

Neatness


11/19


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objectives

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learning activities


8.2

Understand and

use the concept ofvolume of right

pyramids and right

circular cones to

solve problems

I

II

III

IV

V

VI

VII

VIII

Derive the formula for the

volume of :

a)

pyramidsb) conesCalculate the volume of

pyramids in mm3

, cm3and m

3

given the height and:

a) the area of the baseb) dimensions of the base

Calculate the height of a pyramid

given the volume and the

dimension of the base

Calculate the area of the base of

a pyramid given the volume and

the heightCalculate the volume of a cone

in mm3

, cm3and m

3given the

height and radius of the base

Calculate the height of a cone

given the volume and the radius

of the base

Calculate the radius of the base

of a cone given the volume and

the height


volume of pyramids and cones

Use concrete models toderive the formula

Relate volume of pyramidsto prisms and cones tocylinders

Communication

Constructivism

Mastery learning

Multiple

intelligence

Working out

mentally

Comparing and

differentiating

Using analogies

Finding all

possible

solutions

Diligence

Determination

Honesty

Neatness

8.3

Understand and

use the concept of

volume of sphere

to solve problems

I

II

III

Calculate the volume of a sphere

given the radius of the sphere

Calculate the radius of a sphere

given the volume of the sphere


volume of spheres

Communication

Constructivism

Mastery learning

Comparing and

differentiating

Finding all

possible

solutions

Diligence

Determination

8.4

Apply the concept

of volume to solve

I Calculate the volume of

composite solids Use concrete models to

form composite solids

Use examples from real Communication

Constructivism

Comparing and

differentiating

Diligence

Determination


12/19


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Weeks

Learning

objectives

Learning outcomes



learning activities


problems

involving

composite solids

II Solve problems involving

volumes of composite solids

life situations

Mastery learning

Finding all

possible

solutions9.

Scale Drawings

( weeks)

9.1

Understand the

concept of scale

drawings

I

II

III

IV

V

Sketch shapes:

a) of the same size as theobject

b) smaller than the objectc) larger than the object

using grid papers

Draw geometric shapes

according to scale 1 : n, where n

= 1,2,3,4,5,10

1,

2

1

Draw composite shapes,

according to a given scale using:a) grid papersb) blank papers

Redraw shapes on grids of

different sizes

Solve problems involving scale

drawings

Explore scale drawingsusing dynamic geometry

software, grid papers, geo

boards or graph papers

Relate to maps, graphicsand architectural drawings

Multiple

intelligence

Contextual

learning

Mastering

learning

Drawing

diagrams

Interpreting

Working out

mentally

Finding all

possible

solutions

Freedom

Punctuality

Consistent

Neatness

10.

Transformations

II

( weeks)

10.1

Understand and

use the concept of

similarity

I

II

Identify if given shapes are

similar

Calculate the lengths of

unknown sides of two similar

shapes

Involving examples fromeveryday situations

Contextual

learning

Identifying

relations

Rational

10.2Understand and

use the concept of

enlargement

III

III

IV

Identify an enlargementFind the scale factor, given the

object and its image of an

enlargement when:

a) scale factor > 0b) scale factor < 0

Determine the centre of

enlargement, given the object

and its image

Determine the image of an object

given the centre of enlargement

Explore the concept ofenlargement using gridpapers, concrete materials,

drawings, geo boards and

dynamic geometry

software

Relate enlargement tosimilarity of shapes

Communication

Mastery learning

Multiple

intelligence

Using analogies

Making

generalizations

Using algorithm

and relationship

Finding all

possible

solutions

Sharing

Politeness

Kindness


13/19


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Learning area

Weeks

Learning

objectives

Learning outcomes



learning activities


V

VI

VII

VIII

IX

and the scale factor

Determine the properties of

enlargementCalculate:

a) the scale factorb) lengths of the side of

the image

c) length of the side of theobject

of an enlargement


between the area of the image

and its object

Calculate the:

a) area of imageb) area of objectc) scale factor

of an enlargement


enlargement

11.

Linear Equations

II

( weeks)

11.1

Understand and

use the concept of

linear equations in

two variables

I

II

III

IV

Determine if an equation is a

linear equation in two variables

Write linear equations in two

variables from given information

Determine the value of a variable

given the other variables

Determine the possible solutions

for a linear equation in two

variables

Derive linear equations intwo variables relating to

real life situations

Explore using graphiccalculators, dynamic

geometry software andspreadsheets to solve linear

equations and

simultaneous linear

equations

Contextual

learning

ICT

Communication

Arranging

sequentially

Logical

reasoning

Recognizing and

representing

Rational

Systematic

11.2

Understand and

use the concept of

two simultaneous

linear equations in

two variables to

I

II

Determine if two given

equations are simultaneous linear

equations

Solve two simultaneous linear

equations in two variables by

a) substitution

Use trial and improvementmethod

Use examples from real life situations

Mastery learning Arranging

sequentially

Logical

reasoning

Tolerance

Cooperation


14/19


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Weeks

Learning

objectives

Learning outcomes



learning activities


solve problems

III

b) eliminationSolve problems involving two

simultaneous linear equations intwo variables

Finding all

possible

solutions

12.

Linear

Inequalities

( weeks)

12.1

Understand and

use the concept of

inequalities

I

II

III

Identify the relationship:

a) greater thanb) less than

based on given situations

Write the relationship between

two given numbers using the

symbol > or hb) x < hc) x hd) x h

Represent a linear inequality:

a) x > hb) x < hc) x hd) x h

on a number line and vice versa

Construct linear inequalitiesusing symbols:

a) > or

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