Yearly Plan Maths Form 2 222

8/2/2019 Yearly Plan Maths Form 2 222

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LEARNING AREA: 1) DIRECTED NUMBERS

WEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

1 - 2

( 3 - 12 / JAN2012)

1.1 Perform computationsinvolving multiplicationand division of integers tosolve problems.

i. Multiply integers.ii. Solve problems involving multiplication

of integers.iii. Divide integers.iv. Solve problems involving division ofintegers.

Beginmultiplicationinvolving twointegers only.

Relate division ofintegers tomultiplication.

Division by zero isundefined.

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

i. Perform computations involvingcombined operations of addition,subtraction, multiplication and divisionof integers.

ii. Solve problems involving combinedoperations of addition, subtraction,multiplication and division of integersincluding the use of brackets.

Emphasize theorder ofoperations.

Combinedoperations alsoknow n as mixedoperations.

3 - 4

(15 -26 / JAN2012)

1.3 Extend the concept of

integers to fractions to solveproblems.

i. Compare and order fractions.

ii. Perform addition, subtraction,multiplication or division on fractions.

Begin with twofractions.

1.4 Extend the concept ofintegers to decimals to solveproblems.

i. Compare and order decimals.ii. Perform addition, subtraction,

multiplication or division on decimals.

Begin with twodecimals.

1.5 Perform computationsinvolving directed numbers(integers, fractions anddecimals).

i. Perform addition, subtraction,multiplication or division involving twodirected numbers.

ii. Perform computations involving

Emphasize theorder of

operations.

SEKOLAH MENENGAH AGAMA ATAS SULTAN ZAINAL ABIDIN20400 KUALA TERENGGANU

YEARLY LESSON PLAN FOR FORM 2 MATHEMATICS ( 2012)


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combination of two or more operationson directed numbers including the useof brackets.

iii. Pose and solve problems involvingdirected numbers.

CUTI TAHUN BARU CINA 22-24 JAN 2012

LEARNING AREA: 2) SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTSWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

5

(29 JAN 2FEB 2012)

2.1 Understand and use theconcept of squares of

numbers.

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

ii. Determine the squares of numberswithout using calculators.

iii. Estimate the squares of numbers.iv. Determine the squares of numbers

using calculators.v. List perfect squares.

vi. Determine if a number is a perfectsquare.

vii. Pose and solve problems involvingsquares of numbers.

6

( 5 9 FEB2012)

2.2 Understand and use theconcept of square roots of

positive numbers.

i. State the square root of a positivenumber as the number multiplied byitself equals to the given number.

ii. Determine the square roots of perfectsquares without using calculator.

iii. Determine the square roots ofnumbers without using calculators.

iv. Multiply two square roots.v. Estimate square roots of numbers.vi. Find the square roots of numbers using

calculators.vii. Pose and solve problems involving

squares and square roots.2.3 Understand and use theconcept of cube of numbers.

i. State a number multiplied by itselftwice as a number to the power of


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7

( 12 16 FEB2012 )

three and vice versa.ii. Determine cubes of numbers without

using calculators.iii. Estimate cubes of numbers.iv. Determine cubes of numbers using

calculators.

v. Pose and solve problems involvingcubes of numbers.

2.4 Understand and use theconcept of cube roots of

numbers.

i. State the cube root of a number as thenumber multiplied by itself twiceequals to the given number.

ii. Determine the cube roots of integerswithout using calculators.

iii. Determine the cube roots of numberswithout using calculators.

iv. Estimate cube roots of numbers.v. Determine cube roots of numbers

using calculators.vi. Pose and solve problems involving

cubes and cube roots.vii. Perform computations involving

addition, subtraction, multiplication,division and mixed operations onsquares, square roots, cubes and cuberoots.

LEARNING AREA:3) ALGEBRAIC EXPRESSIONS IIWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

8

( 19 23 FEB2012 )

3.1 Understand the conceptof algebraic terms in two or

more unknowns.

i. Identify unknowns in algebraic terms intwo or more unknowns.

ii. Identify algebraic terms in two or moreunknowns as the product of theunknown with a number.

iii. Identify coefficients in given algebraicterms in two or more unknowns.

iv. Identify like and unlike algebraic termsin two or more unknowns.

v. State like terms for a given algebraic


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term.

3.2 Perform computationsinvolving multiplication and

division of two or more terms.

i. Find the product of two algebraicterms.

ii. Find the quotient of two algebraicterms.

iii. Perform multiplication and division

involving algebraic terms.

9

(26 1 MAC2012 )

3.3 Understand the conceptof algebraic expressions.

i. Write algebraic expressions for givensituations using letter symbols.

ii. Recognize algebraic expressions in twoor more unknowns.

iii. Determine the number of terms ingiven algebraic expressions in two ormore unknowns.

iv. Simplify algebraic expressions bycollecting like terms.

v. Evaluate expressions by substituting

numbers for letters.

3.4 Perform computationsinvolving algebraic

expressions.

i. Multiply and divide algebraicexpressions by a number.

ii. Perform:a) additionb) subtractionInvolving two algebraic expressions.

iii. Simplify algebraic expressions.LEARNING AREA: 4) LINEAR EQUATIONS


10

( 4 8 MAC2012 )

4.1 Understand and use theconcept of equality.

i. State the relationship between twoquantities by using the symbols = or.

4.2 Understand and use theconcept of linear equations in

one unknown.i. Recognize linear algebraic terms.ii. Recognize linear algebraic expressions.iii. Determine if a given equation is:

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


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iv. Write linear equations in one unknownfor given statements and vice versa.

11

( 18 22 MAC2012 )

4.3 Understand the concept ofsolutions of linear equations in

one unknown.

i. Determine if a numerical value is asolution of a given linear equation in

one unknown.ii. Determine the solution of a linear

equation in one unknown by trial andimprovement method.

iii. Solve equations in the form of:a) x + a = bb) x a = bc) ax = b

d) ba

x=

Where a, b, c are integers and x is anunknown.iv. Solve equations in the form of ax + b

= c, where a, b, c are integers and x isan unknown.

v. Solve linear equations in one unknown.vi. Pose and solve problems involving

linear equations in one unknown.

LEARNING AREA:5) RATIOS, RATES AND PROPORTIONSWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

12

5.1 Understand the concept ofratio of two quantities.

i. Compare two quantities in the form a :

b orb

a

ii. Determine whether given ratios areequivalent ratios.

iii. Simplify ratios to the lowest terms.


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( 25 29MAC 2012 )

iv. State ratios related to a given ratio.

5.2 Understand the concept ofproportion to solve problems.

i. State whether two pairs of quantities isa proportion.

ii. Determine if a quantity is proportionalto another quantity given two values ofeach quantity.

iii. Find the value of a quantity given theratio of the two quantities and thevalue of another quantity.

iv. Find the value of a quantity given theratio and the sum of the twoquantities.

v. Find the sum of two quantities giventhe ratio of the quantities and thedifference between the quantities.

vi. Pose and solve problems involvingratios and proportions.

13

( 1 5 APRIL2012 )

5.3 Understand and use theconcept of ratio of three

quantities to solve problems.

i. Compare three quantities in the form a: b : c.

ii. Determine whether given ratios areequivalent ratios.

iii. Simplify ratio of three quantities to thelowest terms.

iv. State the ratio of any two quantitiesgiven ratio of three quantities.

v. Find the ratio of a : b : c given the ratioof a : b and b : c.

vi. Find the value of the other quantities,

given the ratio of three quantities andthe value of one of the quantities.

vii. Find the value of each of the threequantities given:

a) the ratio and the sum of threequantities

b) the ratio and the differencebetween two of

the three quantities.


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viii. Find the sum of three quantities giventhe ratio and the difference betweentwo of the three quantities.

LEARNING AREA: 6) PYTHAGORAS THEOREMWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

14

( 8 12 APRIL2012 )

6.1 Understand therelationship between the sides

of a right angled triangle..

i. Identify the hypotenuse of right-angledtriangles.

ii. Determine the relationship betweenthe lengths of the sides of a right-angled triangle.

iii. Find the length of the missing side of aright-angled triangle using thePythagoras theorem.

iv. Find the length of sides of geometricshapes using Pythagoras theorem.

v. Solve problems using the Pythagoras

theorem.

15( 15 19

APRIL 2012 )

6.2. Understand and use theconverse of the Pythagoras

theorem.

i. Determine whether a triangle is aright-angled triangle.

ii. Solve problems involving the conversePythagoras theorem.

LEARNING AREA:7) GEOMETRICAL CONSTRUCTIONSWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

16 & 17

7.1 Perform constructionsusing straight edge (ruler and

set square) and compass.

i. Construct a line segment of givenlength.

ii. Construct a triangle given the length ofthe sides.

iii. Construct:

perpendicular bisector of a givenline segment

perpendicular to a line passingthrough a point on the line


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( 22 APRIL 3MEI 2012 )

Perpendicular to a line passingthrough a point not on the line.

iv. Construct:

angle of 60 and 120

Bisector of an angle.v. Construct triangles given:

one side and two angles two sides and one angle.

vi. Construct:

parallel lines

parallelogram given its sides and anangle.

LEARNING AREA: 8) COORDINATESWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

18

( 6 10 MEI2012 )

8.1 Understand and use theconcept of coordinates.

i. Identify the x-axis, y-axis and theorigin on a Cartesian plane.ii. Plot points and state the coordinates of

the points given distances from the y-axis and x-axis.

iii. Plot points and state the distances ofthe points from the y-axis and x-axisgiven coordinates of the points.

iv. State the coordinates of points onCartesian plane.

WEEK 19 & 20 ( 13 24 MEI 2012 ) REVISION AND MID YEAR EXAMINATION

21

( 10 14 JUN2012 )

8.2 Understand and use theconcept of scales for the

coordinate axes.

i. Mark the values on both axes byextending the sequence of givenvalues on the axes

ii. State the scales used in givencoordinate axes w here:

scales for axes are the same

scales for axes are different.iii. State the coordinates of a given point

with reference to the scales given.


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iv. Plot points, given the coordinates, withreference to the scales given.

v. Pose and solve problems involvingcoordinates.

22

( 17 21 JUN2012 )

8.3 Understand and use theconcept of distance between

two points on a Cartesianplane.

i. Find the distance between two points

with:a) common y-coordinatesb) common x-coordinateii. Find the distance between two points

using Pythagoras theorem.iii. Pose and solve problems involving

distance between two points.

23

( 24 28 JUN2012 )

8.4 Understand and use theconcept of midpoints.

i. Pose and solve problems involvingmidpoints.

ii. Find the coordinates of the midpoint of

a straight line joining two points with:a) common y-coordinatesb) common x-coordinates.

iii. Find the coordinates of the midpoint ofthe line joining two points.

iv. Pose and solve problems involvingmidpoints.

LEARNING AREA: 9) LOCI IN TWO DIMENSIONSWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

24 & 25

( 1 12 JULY2012 )

9.1 Understand the concept oftwo dimensional loci.

i. Describe and sketch the locus of amoving object.

ii. Determine the locus of points that are of:a) constant distance from a fixed 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 pointsthat satisfies the condition:

a) the point is at a constant distance from a


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fixed pointb) the point is at equidistant from two fixed

pointsc) the point is at a constant distance from a

straight lined) the point is at equidistant from two

intersecting lines.26

( 15 19 JULY2012 )

9.2 Understand the concept ofthe intersection of two loci.

i. Determine the intersections of two lociby drawing the loci and locating thepoints that satisfy the conditions of thetwo loci.

LEARNING AREA :10)CIRCLESWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

27

( 22 27 JULY2012 )

10.1 Recognize and draw partsof a circle.

i. Identify circle as a set of pointsequidistant from a fixed point.

ii. Identify parts of a circle:a) center

b) circumferencec) radiusd) diametere) chordf)arcg) sectorh) segment

iii. 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 thecentre.

d) A chord of a given length passingthrough a point on thecircumference.

e) Sector given the size of the angle atthe centre and radius of the circle.

iv. Determine the:i. center


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ii. radius of a given circle by construction.

10.2 Understand and use theconceptof circumference to solve

problems.

i. Estimate the value of .ii. Derive the formula of the circumference of

a circle.iii. Find the circumference of a circle, given

its:

diameter radius.

iv. Find the:

diameter

radiusGiven the circumference of a circle.

v. Solve problems involving circumference ofcircles.

28

( 29 2 AUG2012 )

10.3 Understand and use theconcept of arc of a circle to

solve problems.

i. Derive the formula of the length ofan arc.ii. Find the length of arc given theangle at the centre and the radius.iii. Find the angle at the centre giventhe length of the arc and the radius of acircle.iv. Find the length of radius of a circlegiven the length of the arc and the angleat the centre.v. Solve problems involving arcs of acircle.

10.4 Understand and use theconcept of area of a circle to

solve problems.i. Derive the formula of the area of acircle.ii. Find the area of a circle given theradius or diameter.iii. Find the radius or diameterngiventhe area of a circle.iv. Find the area of a circle given thecircumference.


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v. Solve problems involving area ofcircles.

29

( 5 9 AUG

2012)10.5 Understand and use the

conceptof area of sector of a circle to

solve problems.

i. Derive the formula of the area of asector.

ii. Find the area of a sector given theradius and angle at the centre.iii. Find the angle at the centre giventhe radius and area of a sector.iv. Find the radius given the area of asector and the angle at the centre.v. Solve problems involving area ofsectors and area of circles.

LEARNING AREA :11)TRANSFORMATION 1WEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

30

( 12 16 AUG2012 )

11.1 Transformation

i. Identify a transformation as a one-to-onecorrespondence between points in a plane.

ii. Identify the object and its image in a giventransformation.

11.2 Translation

i. Identify a translation.ii. Determine the image of an object under a

given translation.iii. Describe a translation and determine its

properties.iv. Determine the coordinates of the image and

the object under a translation.

v. Solve problems involving translations.SECOND SEMESTER BREAK ( 17 25 AUG 2012)

11.3 Reflection i. Identify a reflection.ii. Determine the image of an object under a

reflection on a given line.iii. Determine the properties of reflections.iv. Determine the image of an object given the

axis of reflection.v. Determine the coordinates of the image


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31

( 26 30 AUG2012 )

under a reflection.vi. Describe a reflection given the object and

image.vii. Solve problems involving reflections.

11.4 Rotation

i. Identify a rotation and determine itsproperties

ii. Determine the image of an object under arotation

iii. Determine the centre, angle and direction ofrotation

iv. Determine the coordinates of the image andthe object under a rotation.

v. Describe a roration given the object and itsimage.

vi. Solve problems involving rotation

32

( 2 6 SEPT2012 )

11.5 Isometry

i. Identify an isometry.ii. Determine w hether a given transformation is

an isometry.iii. Construct patterns using isometry.

11.6 Congruence

i. Identify if two figures are congruent.ii. Identify congruency between two figures as a

property of an isometry.iii. Solve problems involving congruence

11.7 Properties ofquadrilaterals

i Determine the properties of quadrilateralsusing

reflections and rotationsLEARNING AREA : 12) SOLID GEOMETRY II


33( 9 13 SEPT

2012 )

12.1 Properties of Prisms,Pyramids, Cylinders, Conesand Spheres.

i. State the geometric properties of prisms,pyramids, cylinders, cones and spheres.

12.2 Nets of Geometric Solids

i. Draw nets for prisms, pyramids, cylinders andcones.

ii. State the types of solids given their nets.iii. Construct models of solidsgiven their nets.


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34 & 35( 16 27

SEPT 2012 )12.3 Surface Area

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

ii. Find dimensions of a solid given its surfacearea and other relevant information.

iii. Solve problems involving surface areas.

LEARNING AREA : 13) STATISTICSWEEK LEARNING OBJECTIVES LEARNING OUTCOMES NOTES

36

(30 SEPT 4OCT 2012 )

13.1 Concept of Datai. Classify data according to those that can be

collectedii. Collect and record data systematically.

11.2 Concept of Frequency

i. Determine the frequency of data.ii. Determine the data with the highest

frequency, the lowest frequency and thefrequency of a specific item.

iii. Organise data using tally charts andfrequency tables.

iv. Obtain information from frequency tables.

37( 7 11 OCT

2012 )11.3 Representation and

Interpretation of data

i. Construct pictograms, bar charts and linegraphs.

ii. Obtain information from pictograms, barcharts and line graphs.

iii. Solve problems involving pictograms, barcharts and line graphs.

WEEK 38 39 ( 14 25 OCT 2012) REVISIONWEEK 40 -41 ( 28 OCT 8 NOV 2012 ) FINAL EXAMINATION

WEEK 42 SCHOOL BREAK ( 9 NOV 31 DEC 2012 )

Documents

Yearly Plan Maths Form 2 222