mathyearlyplanf.4,2011

8/8/2019 MathyearlyplanF.4,2011

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SMK SERIANYEARLY TEACHING PLAN 2011

MATHEMATICS FORM 4

Week/Date

LearningArea

Learning Objectives Learning Outcomes CCTS Remarks

13/1-

7/1/2011

Chapter 1:Standard Form

1.1Understand and usethe concept ofsignificant figure

Students will be able to:

i. round off positive numbers to a given number ofsignificant figures when the numbers are:a) greater than 1b)

less than 1ii.perform operations of addition, subtraction,

multiplication and division, involving a few numbersand state the answer in specific significant figures

iii.solve problems involving significant figure

- contextual- working out mentally- finding all possible

solutions

- identifying relations

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10/1-14/1/2011

1.2Understandand use the concept ofstandard form to solveproblem

i. state positive numbers in standard form when thenumbers are:a) greater than or equal to 10b) less than 1

ii. convert numbers in standard form to single numbersiii. perform operations of addition, subtraction,

multiplication and division, involving any twonumbers and state the answers in standard form

iv. solve problems involving numbers in standard form

- working out mentally- identifying relations

3

17/1-21/1/2011

Chapter 2:QuadraticExpressionsand Equations

2.1 Understand theconcept of QuadraticExpression

2.2 Factorizationquadratic expression

i. Identify quadratic expressionsii. Form quadratic expressions by multiplying any two

linear expressionsiii. Form quadratic expressions based on specific

situations

i Factorise quadratic expressions of the formax2+bx+c=0, where b= 0 or c= 0

- classifying- arranging sequentially- translating

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ii Factorise quadratic expressions of the formpx2 q,pand q are the perfect squares

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24/1/-28/1/2011 2.3 Understand the

concept of QuadraticEquation

iii Factorise quadratic expressions of the form ax2+ bx+c, where a, b and c not equal to zero

iv Factorise quadratic expressions containing coefficientswith common factors

i. Identify quadratic equations with one unknownii.

Write quadratic equations in general form i.e.ax2 + bx+ c= 0

iii. Form quadratic equations based on specific situations

- arranging sequentially

- arranging sequentially- classifying- translating

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11/2/2011

concept of Roots ofquadratic equations

CUTI TAHUN BARU CINA(31/1-6/2/2011)

i. determine the solutions for quadratic equations by:a) trial and error methodb) factorization

iii. solve problems involving quadratic equation

- comparing &differentiatingfinding all possiblesolutions

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14/2-118/2/2011

Chapter 3:Sets

3.1 Understand theconcept of Set i. sort given objects into groups

ii. define sets bya)descriptionsb)using set notationiii identify whether a given object is an element of a setand use the symbol or

iv. represent sets by using Venn diagramsv. list the elements and state the number of elements of asetvi. determine whether a set is an empty setvii. determine whether two sets are equal

- making generalizations- working out mentally

classifying

-comparing anddifferentiating

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21/2-22/2/10

3.2 Understand and use

the concept of Subset,universal set and thecomplement of a set

i. determine whether a given set is a subset of a specificset and use the symbol or .

ii. represent subset by using Venn diagramiii.list the subsets for a specific setiv.illustrate the relationship between set and universal set

using Venn diagramv. determine the complement of a given setvi.determine the relationship between set, subset,

universal set and the complement of a set

- classifying- finding all possible

solutions

- drawing diagrams- identifying relations- interpreting

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3.3 Perform Operationson set

i. determine the intersection ofa) two setsb) three setsand use the symbol

ii. represent the intersection of sets using Venn diagramiii.state the relationship between

a) BA and Ab) BA and Biv.determine the complement of the intersection of sets

v. solve problems involving the intersection of sets.vi.determine the union of

a) two setsb) three setsand use the symbol

vii.represent the union of sets using Venn diagramviii. state the relationship between

a) BA and Ab) BA and B

ix.determine the complement of the union of setsx. solve problems involving the union of setsxi.determine the outcome of combined operations on

setsxii. solve problems involving combined operations on sets

CUTI PERTENGAHAN PENGGAL 1 [ 12-

- comparing anddifferentiating

- drawing diagrams- identifying relations- interpreting- translating-

making generalization

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20 MAC 2011]

1221/3-

25/3/2011

Chapter 4:

MathematicalReasoning

4.1 Understand the

concept of Statement

i. determine whether a given sentence is a statementii. determine whether a given statement is true or falseiii. construct true or false statement using given numbers

and mathematical symbols

- Classifying- Working out mentally- Translating- Interpreting

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12 4.2 Understand theconcept of Quantifiersall and some

i. construct statements using quantifiera) allb) some

ii. determine whether a statement that contains thequantifier all is true or false

iii. determine whether a statement can be generalized tocover all cases by using the quantifier all

iv. construct a true statement using the quantifier all orsome given an object and a property

- Working out mentally- Identifying relations -

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4.3 Perform Operations

Involving the wordsnot or nostatements

i. change the truth value of a given statement by placingthe word not into the original statement

ii. identify two statements from a compound statementthat contains the word and

iii. form a compound statement by combining two givenstatements using the word and

iv. identify two statement from a compound statementthat contains the word or

v. form a compound statement by combining two givenstatements using the word or

vi. determine the truth value of a compound statementwhich is the combination of two statements with the

word andvii. determine the truth value of a compound statement

which is the combination of two statements with theword or

- working out mentally- classifying -

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4.4 Understand theconcept ofImplication

i. identify the antecedent and consequent of animplication ifp, then q

ii. write two implications from a compound statementcontaining if and only if

iii. construct mathematical statements in the form ofimplication:a) Ifp, then q

- working out mentally- classifying -


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b) p if and only ifqiv. determine the converse of a given implicationv. determine whether the converse of an implication is

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4.5 Understand theconcept of Argument

i. identify the premise and conclusion of a given simpleargument

ii. make a conclusion based on two given premises for:a) Argument Form Ib) Argument Form IIc) Argument Form III

iii. complete an argument given a premise and theconclusion

- Classifying- Making inferences -

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4.6 Understand and usethe concept ofDeduction andInduction

i. determine whether a conclusion is made through:a) reasoning by deductionb) reasoning by induction

ii. make a conclusion for a specific case based on a givengeneral statement, by deduction

iii. make a generalization based on the pattern of anumerical sequence, by induction

iv. use deduction and induction in problem solving

- classifying- making inferences- making generalization- looking for patterns- making analogy

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Chapter 5:The StraightLine

5.l Understant theconcept of gradient of astraight line

i.determine the vertical and horizontal distances betweentwo given points on a straight line

ii. determine the ratio of vertical distance to horizontaldistance

- Interpreting

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5.2 Understant theconcept of gradient of astraight line in Cartesiancoordinates

i. derive the formula for the gradient of a straight lineii. calculate the gradient of a straight line passing through

two pointsiii. determine the relationship between the value of the

gradient and the:

a) steepnessb) direction of inclination

- interpreting- classifying -


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of a straight line

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5.3 Understand the

concept of intercept

i. determine the x-intercept and the y-intercept of astraight line

ii. derive the formula for the gradient of a straight line interms of the x-intercept and they-intercept

iii. perform calculations involving gradient x-interceptandy-intercept

- interpreting -

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5.4Understand and usethe concept of Equationof a straight line

i. draw the graph given an equation of the form y= mx+ c

ii. determine whether a given point lies on a specificstraight line

iii. write the equation of the straight line given thegradient andy-intercept

iv. determine the gradient and y-intercept of the straightline which equation is of the form:a)y= mx + cb) ax +by= c

v. find the equation of the straight line which:a) is parallel to the x-axisb) is parallel to the y-axisc) passes through a given point and has a specific

gradientd) passes through two given points

vi. find the point of the intersection of two straight linesby:a) drawing the two straight linese) solving simultaneous equations

- drawing diagrams- comparing and

differentiating

-

working out mentally

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5.5 Understand and usethe concept of Parallelline

i. verify that two parallel lines have the same gradientand vice versa

ii. determine from the given equations whether twostraight lines are parallel

iii. find the equation of the straight line which passesthrough a given point and is parallel to anotherstraight line

iv. solve problems involving equations of straight lines

-comparing anddifferentiating


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199/5-13/5/2011

ULANGKAJI

PEPERIKSAAN PENGGAL 1(WEEK 20-21)

CUTI PERTENGAHAN TAHUN [30.5-12/6/2011](WEEK 22-23)

2413/6-

17/6/2011

Chapter 6:Statistics

6.1 Understand theconcept of class Interval

i. complete the class interval for a set of data given oneof the class intervals

ii. determine:a) the upper limit an lower limitb) the upper boundary and lower boundaryof a class in a group data

iii. calculate the size of a class interval

- working out mentally- classifying- making inferences

-

iv. determine the class interval, given a set of data andthe numbers of classes

v. determine a suitable class interval for a given set ofdata

i. construct a frequency table for given set of data

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6.2Understand and usethe concept of Modeand mean of groupeddata

i. determine the modal class from the frequency table ofgrouped dataii. calculate the midpoint of a classiii. verify the formula for the mean of grouped dataiv. calculate the mean from the frequency table of

grouped datav. discuss the effect of the size of class interval on the

accuracy of the mean for a specific set of grouped data

- Interpreting- Working out mentally- Making inferences- I

dentifying relations

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6.3 represent andinterpret data inhistograms with classintervals

i. draw a histogram based on the frequency table of agrouped data

ii. interpret information from given histogramiii. solve problems involving histogramsiv.

- drawing diagrams- interpreting -

25 6.4Represent and i. draw the frequency polygon based on: - drawing diagrams -


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20/6-24/6/ interpret data inFrequency polygons tosolve problem

a) a histogramb) a frequency table

ii. interpret information from a given frequency polygoniii. solve problems involving frequency polygon

- interpreting

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6.5 Understand theconcept of Cumulativefrequency

i. construct the cumulative frequency table for:a) ungrouped datab) grouped data

ii. draw the ogive for:a) ungrouped datab) grouped data

- working out mentally- drawing diagrams -

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6.6Understand and usethe concept ofMeasures of dispersion

i. determine the range of a set dataii. determine:

a) the medianb) the first quartilec) the third quartiled) the interquartile rangefrom the ogive

iii. interpret information from an ogiveiv. solve problems involving data representations and

measures of dispersion

- interpreting-

identifying relations

-

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Chapter 7:Probability I

7.1Understand theconcept of Samplespace

i.determine whether an outcome is a possible outcome ofan experimentii.list all the possible outcomes of an experiment:

a) from activitiesb) by reasoning

iii determine the sample space of an experimentiv write the sample space by using set notations

- Finding all possiblesolutions -

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7.2 Understand theconcept of Events

i.identify the elements of a sample space which satisfygiven conditions

ii.list all the elements of a sample which satisfy certainconditions using set notations

iii determine whether an event is possible for a samplespace

- Finding all possiblesolutions

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7.3Understand and usethe concept ofProbability of an event

i.find the ratio of the number of times an event occurs tothe number of trials

ii.find the probability of an event from a big enough oftrials

iii calculate the expected number of times an event will

- identifying relations -


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occur, given the probability of the use event and numberof trialsiii. solve problems involving probabilityiv. predict the occurrence of an outcome and make adecision based on known informationv.

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Chapter 8:Circles III

8.1 Understand and usethe concept ofTangentsof a circle

i.identify tangents to a circleii.make inference that the tangent to a circle is a straight

line perpendicular to the radius that passes through thecontact point

iii construct the tangent to a circle passing through apoint:

a) on the circumference of the circleb) outside the circle

iv. determine the properties related to two tangents to acircle from a given point outside the circlev. solve problems involving tangents to a circle

-Working out mentally-Drawing diagrams-Identifying relations

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8.2 Understand and usethe properties of Anglebetween tangent and

chord

i. identify the angle in the alternate segment which issubtended by the chord through the contact point ofthe tangent

ii. verify the relationship between the angle formed bythe tangent and the chord with the angle in thealternate segment which is subtended by the chord

iii. perform calculations involving the angle in alternatesegment

iv. solve problems involving tangent to a circle and anglein alternate segment

- identifying relations -

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8.3 Understand and usethe properties ofcommon tangents tosolve problem

i. determine the number of common tangents which canbe drawn to two circles which:

a) intersect at two pointsb) intersect only at one pointc) do not intersect

ii. determine the properties related to the commontangent to two circles which:a) intersect at two pointsb) intersect only at one pointc) do not intersect

- comparing anddifferentiating

- Finding all possiblesolutions

- Identifying relations

-


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iii. solve problems involving common tangents to twocircles

iv. solve problems involving tangents and commontangent

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25/7-29/7/2011

Chapter 9:TrigonometryII

9.1 Values of sin , cos

and tan reer 3600 U .

i. identify the quadrants and angles in the unit circleii. determine:

a) the value ofy-coordinateb) the value ofx-coordinatec) the ratio ofy-coordinate to x-coordinateof several points on the circumference of the unitcircle

iii. verify that, for an angle in quadrant I of the unitcircle:a) coordinatey !Usin b) coordinatex !Ucos

- working out mentally- interpreting- identifying relations

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c)coordinatex

coordinatey

!Utan

iv. determine the value of:a)

sineb) cosine

c) tangentof an angle in quadrant I of the unit circle

v. determine the values of:a) sin b) cos c) tan for reer 3600 U

vi. determine whether the values of:a) sineb) cosinec) tangentof an angle in a specific quadrant is positive ornegative

vii. determine the values of sine, cosine and tangent forspecial angles

viii.determine the values of the angles in quadrant Iwhich correspond to the values of the angles in other


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quadrants

ix. State the relationships between the values of:a) sineb) cosine, andc) tangentof angles in quadrant II, III and IV with theirrespective values of the corresponding angle inquadrant I

x. Find the values of sine, cosine and tangent of theangles between 90 and 360

xi. Find the angles between 0 and 360, given the valuesof sine, cosine and tangent

xii. Solve problems involving sine, cosine and tangent

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9.2Draw and useGraphs of sine, cosineand tangent

i. draw the graphs of sine, cosine and tangent for anglesbetween 0 and 360

ii. compare the graphs of sine, cosine and tangent forangles between 0 and 360

iii. solve problems involving graphs of sine, cosine andtangent

- drawing diagrams- comparing and

differentiating

- interpreting

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Chapter 10:Angles ofElevation andDepression

10.1Understand and usethe concept of Angle ofelevation and angle ofdepression

i. identify:a) the horizontal lineb) the angle of elevationc) the angle of depression

ii. represent a particular situation involvinga) the angle of elevationb) the angle of depression, using diagrams

iii. solve problems involving the angle of elevation andthe angle of depression

CUTI PERTENGAHAN PENGGAL 2 [29.8-04.9]

- working out mentally- drawing diagrams- identifying relations

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9/9/2011

Chapter 11:Lines and

Planes in 3-dimensions

11.1Understand and usethe concept of Angle

between lines andplanes

i. identify planesii. identify horizontal planes, vertical planes and inclined

planesiii. sketch a three dimensional shape and identify the

- Comparing anddifferentiating

- Working out mentally-


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specific planesiv. identifyv. identify normals to a given planevi. determine the orthogonal projection of a line on aplanevii. draw and name the orthogonal projection of line on

planeviii.determine the angle between a line and a planesolve problems involving the angle between a line and aplane

- Identifying relations

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11.2Understand and theconcept of Anglebetween two planes

i. identify the line of intersection between two planesii. draw a line on each plane which is perpendicular to

the line of intersection of the two planes at a point onthe line of intersection

iii. determine the angle between two planes on a modeland a given diagram

iv. solve problems involving lines and planes in 3-dimensional shapes

- working out mentally- drawing diagrams- identifying relations

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39,40,41`

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ULANGKAJI - - Revision

42,43,4417/10-

4/11/2011

PEPERIKSAAN PENGGAL II -

mathyearlyplanf.4,2011

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