Yearly Form2 2012

7/29/2019 Yearly Form2 2012

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FORM TWO MATHEMATICS YEARLY LESSON PLAN 2012

WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS

EXERCISES(Min. Req.) Teaching

AidsPaper 1

Paper 2

1(04.01.12 –06.01.12)

CHAPTER 1:

DirectedNumbers

Perform computations

involving multiplication anddivision of integers to solveproblems.

Students will be able to:

1. Multiply integers.2. Solve problems involving multiplication of integers.

3. Divide integers.4. Solve problems involving division of

integers.

Working outmentally

Makinginference

Translating

5 10Coloured

chips

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

Students will be able to:1. Perform computations involving combined

operations of addition, subtraction,multiplication and division of integers.

2. Solve problems involving combinedoperations of addition, subtraction,multiplication and division of integers

including the use of brackets.

5 10

2(09.01.12 –13.01.12)

DirectedNumbers

Extend the concept of integers to fractions to solveproblems.

Students will be able to:1. Compare and order decimals.2. Perform addition, subtraction, multiplication

or division on decimals. Working outmentally

Makinginference

Translating

5 10Coloured

chipsExtend the concept of integers to decimals to solveproblems.

Students will be able to:1. Compare and order decimals.2. Perform addition, subtraction, multiplication

or division on decimals.5 10

Perform computations

involving directed numbers(integers, fractions anddecimals).


1. Perform addition, subtraction, multiplicationor division involving two directed numbers.

2. Perform computations involving combinationof two or more operations on directednumbers including the use of brackets.

3. Pose and solve problems involving directednumbers.

5 20

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

3(16.01.12 –20.01.12)

CHAPTER 2:

Squares,squares roots,cubes andcubes roots

Understand and use theconcept of squares of numbers.

Students will be able to:1. State a number multiplied by itself as a

number to the power of two and vice-versa.2. Determine the squares of numbers without

using calculators.3. Estimate the squares of numbers.4. Determine the squares of numbers using

calculators.5. List perfect squares.6. Determine if a number is a perfect square.7. Pose and solve problems involving squares

of numbers.

Working outmentally

Makinginference

Translating

5 10

Scientificcalculator

Understand and use theconcept of square roots of positive numbers.

Students will be able to:1. State the square root of a positive number

as the number multiplied by itself equals to

the given number.2. Determine the square roots of perfect

squares without using calculator.3. Determine the square roots of numbers

without using calculators.4. Multiply two square roots.5. Estimate square roots of numbers.6. Find the square roots of numbers using

calculators.7. Pose and solve problems involving squares

and square roots.

5 10

4 Public Holiday – Chinese New Year ( 23.01.2012 – 27.01.2012 )

5(30.01.12 –03.02.12)


Understand and use theconcept of cube of numbers. Students will be able to:1. State a number multiplied by itself twice as anumber to the power of three and viceversa.

2. Determine cubes of numbers without usingcalculators.

3. Estimate cubes of numbers.4. Determine cubes of numbers using

calculators.5. Pose and solve problems involving cubes of

numbers.

Working outmentally

Makinginference

Translating 5 10


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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

5(30.01.12 –03.02.12)


Understand and use theconcept of cube roots of numbers.

Students will be able to:1. State the cube root of a number as the

number multiplied by itself twice equals tothe given number.

2. Determine the cube roots of integers withoutusing calculators.

3. Determine the cube roots of numberswithout using calculators.

4. Estimate cube roots of numbers.5. Determine cube roots of numbers using

calculators.6. Pose and solve problems involving cubes

and cube roots.7. Perform computations involving addition,

subtraction, multiplication, division andmixed operations on squares, square roots,

cubes and cube roots.

Working outmentally

Makinginference

Translating

5 20


6(06.02.12 –10.02.12)

Public Holiday – Birth of Prophet Muhammad on 5 th February 2012 ( Sunday )

CHAPTER 3:

AlgebraicExpressions II

Understand the concept of algebraic terms in two or more unknowns.

Students will be able to:1. Identify unknowns in algebraic terms in two

or more unknowns.2. Identify algebraic terms in two or more

unknowns as the product of the unknownswith a number.

3. Identify coefficients in given algebraic termsin two or more unknowns.

4. Identify like and unlike algebraic terms intwo or more unknowns.

5. State like terms for a given algebraic term.

Interpreting

Classifying

Working outmentally

Identifyingrelations

Translating

5 10

Cardboard

Perform computationsinvolving multiplication anddivision of two or moreterms.

Students will be able to:1. Find the product of two algebraic terms.2. Find the quotient of two algebraic terms.3. Perform multiplication and division involving

algebraic terms.

5 10

School Replacement ( Chinese New Year ) on 11th February 2012 ( Saturday ) – Wednesday time table

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

7(13.02.12 –17.02.12)

AlgebraicExpressions II

Understand the concept of

algebraic expressions.


1. Write algebraic expressions for givensituations using letter symbols.2. Recognise algebraic expressions in two or

more unknowns.3. Determine the number of terms in given

algebraic expressions in two or moreunknowns.

4. Simplify algebraic expressions by collectinglike terms. Evaluate expressions bysubstituting numbers for letters.

Interpreting

Classifying

Working outmentally


Translating

5 10

Cardboard

Perform computationsinvolving algebraicexpressions.

Students will be able to:1. Multiply and divide algebraic expressions by

a number.

2. Performa. addition

b. subtraction

involving two algebraic expressions.3. Simplify algebraic expressions.

5 20

8(20.02.12 –24.02.12)

CHAPTER 4:

Linear Equations

Understand and use theconcept of equality.

Students will be able to:State the relationship between two quantities by

using the symbols ''= or ''≠ . Interpreting

Classifying

Working outmentally


Translating

5 5

BalanceUnderstand and use theconcept of linear equationsin one unknown.

Students will be able to:1. Recognise linear algebraic terms.2. Recognise linear algebraic expressions.3. Determine if a given equation is:

a. a linear equation

b. a linear equation in one unknown.

4. Write linear equations in one unknown for given statements and vice versa.

5 10

Understand the concept of solutions of linear equationsin one unknown.

Students will be able to:1. Determine if a numerical value is a solution

of a given linear equation in one unknown.2. Determine the solution of a linear equation

in one unknown by trial and improvementmethod.

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

9(27.03.12 –

02.03.12

Linear Equations

Understand the concept of solutions of linear equationsin one unknown.

Students will be able to:3. Determine if a numerical value is a solution

of a given linear equation in one unknown.

4. Determine the solution of a linear equationin one unknown by trial and improvementmethod.

5. Solve equations in the form of:

a. ba x =+

b. ba x =−

c. bax =

d. ba

x=

where a, b, c are integers and x is anunknown.

6. Solve equations in the form of ax + b = c ,

where a, b, c are integers and x is anunknown.

7. Solve linear equations in one unknown.8. Pose and solve problems involving linear

equations in one unknown.

Interpreting

Classifying

Working outmentally


Translating

10 20

Balance

School Replacement ( Chinese New Year ) on 3rd March 2012 ( Saturday ) –Thursday time table

10 Discussion and Remedy for the previous lesson –Test 1 (05.03.12 – 09.03.12)

Mid Semester One Break ( 10.03.12– 18.03.12 )

11(19.03.12 –23.03.12)

Chapter 5:

Ratios, Rates

and Proportions

Understand the concept of ratio of two quantities.


1. Compare two quantities in the form ba :

or b

a.

2. Determine whether given ratios areequivalent ratios.

3. Simplify ratios to the lowest terms.4. State ratios related to a given ratio.

Interpreting

Classifying

Working outmentally


Translating

5 10Coloured

chipsCoins

Understand the concept of proportion to solveproblems.

Students will be able to:1. State whether two pairs of quantities is a

proportion.2. Determine if a quantity is proportional to

another quantity given two values of eachquantity.

3. Find the value of a quantity given the ratio of the two quantities and the value of another quantity.

5 10

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

12(26.03.12 –30.03.12)

Ratios, Ratesand Proportions

Understand the concept of proportion to solveproblems.

Students will be able to:4. Find the value of a quantity given the ratio

and the sum of the two quantities.5. Find the sum of two quantities given the

ratio of the quantities and the differencebetween the quantities.

6. Pose and solve problems involving ratiosand proportions.

Interpreting

Classifying

Working outmentally


Translating

5 10Coloured

chipsCoins

Understand and use theconcept of ratio of threequantities to solve problems.


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

2. Determine whether given ratios areequivalent ratios.

3. Simplify ratio of three quantities to thelowest terms.

4. State the ratio of any two quantities givenratio of three quantities.

5 10

13(02.04.12 –06.04.12)

Chapter 6:

Pythagoras’Theorem

Understand the relationshipbetween the sides of a right-angled triangle.

Students will be able to:1. Identify the hypotenuse of right-angled

triangles.2. Determine the relationship between the

lengths of the sides of a right-angledtriangle.

3. Find the length of the missing side of a right-angled triangle using the Pythagoras’theorem.

4. Find the length of sides of geometric shapes

using Pythagoras’ theorem.5. Solve problems using the Pythagoras’

theorem.

Arrangingsequentially

Drawingdiagrams 5 10

GSPGrid paper Geo-board

14(09.04.12 –13.04.12)

Pythagoras’Theorem

Understand and use theconverse of the Pythagoras’theorem.

Students will be able to:1. Determine whether a triangle is a right-

angled triangle.2. Solve problems involving the converse

Pythagoras’ theorem.

5 10

School Replacement ( Hari Raya Qurban ) on 14h April 2012 ( Saturday ) – Thursday time table

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

15(16.04.12 –20.04.12)

Chapter 7:

GeometricalConstructions

Perform constructions using

straight edge (ruler and setsquare) and compass.


1. Construct a line segment of given length.2. Construct a triangle given the length of thesides.

3. Construct:

a. perpendicular bisector of a given linesegment

b. perpendicular to a line passing througha point on the line

c. perpendicular to a line passing through

a point not on the line.

Drawingdiagrams

Interpreting


5 10

CompassRuler

16

(23.04.12 –27.04.12)

Geometrical

Constructions

Perform constructions usingstraight edge (ruler and set

square) and compass.

Students will be able to:4. Construct:

a. angle of °

60 and°

120b. bisector of an angle.

5. Construct triangles given:

a. one side and two angles

b. two sides and one angle.6. Construct:

a. parallel lines

b. parallelogram given its sides and anangle.

Drawingdiagrams

Interpreting


5 10

CompassRuler

17(30.04.12 –

04.05.12)

Chapter 8:

Coordinates

Understand and use theconcept of coordinates.


1. Identify the x -axis, y -axis and the origin on a

Cartesian plane.

2. Plot points and state the coordinates of the

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

3. Plot points and state the distances of the

points from the y -axis and x -axis givencoordinates of the points.

4. State the coordinates of points on Cartesianplane.

Classifying Drawing

diagrams


5 10

Cartesianplane

Geo-board

Public Holiday – Labour Day on 1st May 2012 ( Tuesday )

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper

1

Paper

2

17(30.04.12 –04.05.12)

CoordinatesUnderstand and use theconcept of scales for thecoordinate axes.

Students will be able to:1. Mark the values on both axes by extending

the sequence of given values on the axes.2. State the scales used in given coordinate

axes w here:

a. scales for axes are the same

b. scales for axes are different.3. Mark the values on both axes, with

reference to the scales given.4. State the coordinates of a given point with

reference to the scales given.5. Plot points, given the coordinates, with

reference to the scales given.6. Pose and solve problems involving

coordinates.

Classifying

Drawingdiagrams

Identifyingrelations 5 10

Cartesianplane

Geo-board

Public Holiday – Wesak Day on 5 th May 20112( Saturday )

18(07.05.12 –11.05.12)

State Public Holiday – Hol Day of Pahang State on 7 th May 2012 ( Monday )

CoordinatesUnderstand and use theconcept of distance betweentwo points on a Cartesianplane.

Students will be able to:1. Find the distance between two points with:

a. common y -coordinates

b. common x -coordinates.2. Find the distance between two points using

Pythagoras’ theorem.3. Pose and solve problems involving distance

between two points.

Classifying

Drawingdiagrams

Identifying

relations

5 10

Cartesianplane

Geo-board

CoordinatesUnderstand and use theconcept of midpoints.

Students will be able to:1. Identify the midpoint of a straight line joining

two points.2. Find the coordinates of the midpoint of a

straight line joining two points with:

a. common y -coordinates

b. common x -coordinates.

3. Find the coordinates of the midpoint of theline joining two points.

Classifying

Drawingdiagrams


5 10

Cartesianplane

Geo-board

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4. Pose and solve problems involvingmidpoints.

WEEK LEARNINGAREA

LEARNINGOBJECTIVES

LEARNINGOUTCOMES

CCTS

EXERCISES

(Min. Req.) TeachingAidsPaper

1Paper

2

19(14.05.12 –18.05.12)

Chapter 9:

Loci In TwoDimensions

Understand the concept of two dimensional loci.

Students will be able to:1. Describe and sketch the locus of a moving

object.2. Determine the locus of points that are of:

a. constant distance from a fixed point

b. equidistant from two fixed points

c. constant distance from a straight line

d. Equidistant from two intersecting lines.

3. Construct the locus of a set of all points thatsatisfies the condition:

a. the point is at a constant distance froma fixed point

b. the point is at equidistant from two

fixed points

c. the point is at a constant distance froma straight line

d. the point is at equidistant from twointersecting lines

Classifying

Drawingdiagrams


5 10

CompassRuler

Pendulum

20(21.05.12 –25.05.12)

Loci In TwoDimensions

Understand the concept of the intersection of two loci.

Students will be able to:1. Determine the intersections of two loci by

drawing the loci and locating the points thatsatisfy the conditions of the two loci.

Classifying

Drawingdiagrams


5 10

Compass

Ruler Pendulum

First Semester Break (26.05.12 – 10.06.12)

Public Holiday – Birthday of Yang Di Pertuan Agong on 2 nd June 2012 ( Saturday )

22Discussion and Remedy for the previous lessonMID YEAR EXAMINATION ( 11.06.12 – 15.06.12 )

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WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

22(28.06.12 –22.06.12)

Chapter 10:

Circles

Recognise and draw parts of a circle.

Students will be able to:1. Identify circle as a set of points equidistant

from a fixed point.2. Identify parts of a circle such as center,

radius, chord, circumference, diameter, arc,sector and segment.

3. Draw :

a. a circle given the radius and centre

b. a circle given the diameter

c. a diameter passing through a specificpoint in a circle given the centre.

d. a chord of a given length passingthrough a point on the circumference

e. sector given the size of the angle at

the centre and radius of the circle.4. Determine the center and radius of a given

circle by construction.

Classifying

Drawingdiagrams


5 10

CompassRuler

Filter paper GSP

Understand and use theconcept of circumference tosolve problems.


1. Estimate the value of π .

2. Derive the formula of the circumference of acircle.

3. Find the circumference of a circle, given itsdiameter or radius.

4. Find the diameter or radius given thecircumference of a circle.

5. Solve problems involving circumference of circles.

Comparing and

contrasting Working out

mentally

Translating


Makinginference

5 10

Compass

Ruler Filter paper GSP

23(25.06.12 –29.06.12)

CirclesUnderstand and use theconcept of arc of a circle tosolve problems.

Students will be able to:1. Derive the formula of the length of an arc.2. Find the length of arc given the angle at the

centre and the radius.3. Find the angle at the centre given the length

of the arc and the radius of a circle.

5 10

CompassRuler

Filter paper

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4. Find the length of radius of a circle given thelength of the arc and the angle at the centre.

5. Solve problems involving arcs of a circle.

GSP

WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

24(02.07.12 –06.07.12)

CirclesUnderstand and use theconcept of area of a circle tosolve problems.

Students will be able to:1. Derive the formula of the area of a circle.2. Find the area of a circle given the radius or

diameter.3. Find radius or diameter given the area of a

circle.4. Find the area of a circle given the

circumference and vice versa.

5. Solve problems involving area of circles.

Comparing andcontrasting

Working outmentally

Translating


Makinginference

10 10Compass

Ruler Filter paper

GSP

25(09.07.12 –13.07.12)

CirclesUnderstand and use theconcept of area of sector of a circle to solve problems.

Students will be able to:1. Derive the formula of the area of a sector.2. Find the area of a sector given the radius

and angle at the centre.3. Find the angle at the centre given the radius

and area of a sector.4. Find the radius given the area of a sector

and the angle at the centre.5. Solve problems involving area of sectors

and area of circles.

10 10

CompassRuler

Filter paper GSP

26(16.07.12 –20.07.12)

Chapter 11:

Transformation

Understand the concept of transformations.

Students will be able to:1. Identify a transformation as a one-to-one

correspondence between points in a plane.2. Identify the object and its image in a given

transformation.

Classifying

Drawing

diagrams Identifying

relations

5 5

TransformationUnderstand and use theconcept of translations.

Students will be able to:1. Identify a translation.2. Determine the image of an object under a

given translation.3. Describe a translation:

a. by stating the direction and distanceof the movement

b. in the form(a/b)

4. Determine the properties of translation.5. Determine the coordinates of:

Classifying

Drawingdiagrams


5 10

Cartesianplane

Tracingpaper

CompassRuler

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a. the image, given the coordinates of the object

b. the object, given the coordinates of the image under a translation.

c. Solve problems involving translations.

WEEK LEARNINGAREA

LEARNINGOBJECTIVES

LEARNINGOUTCOMES

CCTS

EXERCISES


1Paper

2

27(23.07.12 –27.07.12)

TransformationUnderstand and use theconcept of reflections.

Students will be able to:1. Identify a reflection.2. Determine the image of an object under a

reflection on a given line.3. Determine the properties of reflections.4. Determine:

a. the image of an object, given the axisof reflection

b. the axis of reflection, given the object

and its image using the method of

construction5. Determine the coordinates of:

a. the image, given the coordinates of the

object

b. the object, given the coordinates of theimage under a reflection.

6. Describe a reflection given the object andimage.

7. Solve problems involving reflections.

Classifying

Drawingdiagrams


5 10

Cartesianplane

Tracingpaper

CompassRuler

28 Discussion and Remedy for the previous lesson –Test 3 (30.07.12 – 03.08.11)

29(06.08.12 –

10.08.12)

State Public Holiday – Nuzul Al Quran Day on 6 th August 2012 ( Monday )

TransformationUnderstand and use theconcept of rotations

Students will be able to:1. Identify a rotation.

2. Determine the image of an object under arotation given the centre, the angle anddirection of rotation.

3. Determine the properties of rotations.4. Determine:

a. image of an object, given the centre,angle and direction of rotation

b. the centre, angle and direction of rotation, given the object and theimage using the method of construction

5. Determine the coordinates of

a. the image, given the coordinates of the

Classifying

Drawingdiagrams


Translating

5 10

Cartesianplane

Tracingpaper

CompassRuler

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object;

b. the object, given the coordinates of theimage under a rotation.

6. Describe a rotation given the object andimage.

7. Solve problems involving rotation

WEEKLEARNING

AREALEARNING

OBJECTIVESLEARNING

OUTCOMESCCTS


AidsPaper 1

Paper 2

30(13.08.12 –17.08.12)

TransformationUnderstand and use theconcept of isometry.

Students will be able to:1. Identify an isometry.2. Determine whether a given transformation is

an isometry.3. Construct patterns using isometry

Classifying

Drawingdiagrams


Translating

5 5Cartesian

planeTracingpaper

CompassRuler

Understand and use theconcept of congruence.

Students will be able to:1. Identify if two figures are congruent.2. Identify congruency between two figures as

a property of an isometry.3. Solve problems involving congruence.

5 5

Understand and use theproperties of quadrilateralsusing concept of transformations.

Students will be able to:1. Determine the properties of quadrilaterals

using reflections and rotations.5 5

MID SEMESTER 2 BREAK ( 18.08.12 – 26.08.12 )Public Holiday – Hari Raya Puasa on 19th –20 th August 2012 (Sunday & Monday)

31(27.08.12 –31.08.12)

Chapter 12:

Solid Geometry

II

Understand geometricproperties of prisms,pyramids, cylinders, conesand spheres.

Students will be able to:1. State the geometric properties of prisms,

pyramids, cylinders, cones and spheres. Classifying

Drawingdiagrams


Translating

5 5Model

Understand the concept of nets. Students will be able to:1. Draw nets for prisms, pyramids, cylindersand cones.

2. State the types of solids given their nets.3. Construct models of solids given their nets.

5 10Model

Public Holiday – National Day on 31st August 2012 ( Friday )

32(03.09.12 –07.09.12)

Solid GeometryII

Understand the concept of surface area.

Students will be able to:1. State the surface areas of prisms, pyramids,

cylinders and cones.2. Find the surface area of prisms, pyramids,

cylinders and cones.3. Find the surface area of spheres using the

standard formula.

Classifying

Drawingdiagrams

Identifying

5 10

Model

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4. Find dimensions length of sides, height,slant height, radius and diameter of a solidgiven its surface area and other relevantinformation.

5. Solve problems involving surface areas.

relations

Translating

WEEK LEARNINGAREA

LEARNINGOBJECTIVES

LEARNINGOUTCOMES

CCTS

EXERCISES


1Paper

2

33(10.09.12 –14.09.12)

Chapter 13:

Statistics

Understand the concept of data.

Students will be able to:1. Classify data according to those that can be

collected by counting and measuring.2. Collect and record data systematically. Classifying

Drawingdiagrams


Translating

5 5

MicrosoftExcel

Cartesianplane

Newspaper report

Understand the concept of frequency.

Students will be able to:1. Determine the frequency of data.2. Determine the data with the highest

frequency, the lowest frequency andfrequency of a specific value.

3. Organise data by constructing tally chartsand frequency tables.

4. Obtain information from frequency tables.

5 5

34(17.09.11 –21.09.11)

Public Holiday – Malaysia Day on 16 th September 2012 (Sunday)

StatisticsRepresent and interpret datapictogramsbar chartsline graphs to solveproblems

Students will be able to:1. Construct pictograms to represent data.2. Obtain information from pictograms.3. Solve problems involving pictograms.4. Construct bar charts to represent data.5. Obtain information from bar charts.6. Solve problems involving bar charts.7. Represent data using line graphs.8. Obtain information from line graphs.9. Solve problems involving line graphs

Classifying

Drawingdiagrams


Translating

15 15

MicrosoftExcel

Cartesianplane

Newspaper report

35 Discussion and Remedy for previous lesson ( 24.09.12 – 28.09.12 )

36 - 38 Revision and Remedy ( 01.10.12 – 31.10.12 )

39State Public Holiday – Birthday of Sultan Pahang on 24th October 2012 ( Wednesday )

Public Holiday – Hari Raya Aidil Adha on 26 th October 2012 ( Friday )40 - 41 Final Year Examination ( 29.10.12 – 12.10.12)

42 Activity after End – year exam

Final Semester Break from 10th November 2012 - 1st January 2013

Public Holiday – Deepavali on 13th November 2012 ( Tuesday )

Public Holiday – Awal Muhamarm on 15 th November 2012 ( Thursday )

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Yearly Form2 2012

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