Work Schedule MATHS Gr9

8/3/2019 Work Schedule MATHS Gr9

1/23

, K

WORKSCHEDULE

MATHEMATICS

GRADE 9


2/23

WORK SCHEDULE: MATHEMATICS 2007

GRADE 9 MODULE 1 TERM ...............................................................................

LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 1

NUMBERS,

OPERATIONS AND

RELATIONSHIPS

The learner will beable to recognise,describe andrepresent numbersand theirrelationships, and tocount, estimate,calculate and checkwith competenceand confidence insolving problems.

1.1 describes andillustrates the

historicaldevelopment ofnumber systems ina variety ofhistorical andcultural contexts(including local);

1.2 recognises, usesand representsrational numbers(including verysmall numberswritten in scientificnotation), movingflexibly betweenequivalent forms in

appropriatecontexts;

1.3 solves problems incontext includingcontexts that maybe used to buildawareness of otherlearning areas, aswell as humanrights, social,economic andenvironmentalissues such as:

1.3.1 financial (includingprofit and loss,budgets, accounts,

loans, simple andcompound interest,hire purchase,exchange rates,commission, rentalsand banking);

1.3.2 measurements inNatural Sciencesand Technologycontexts;

Teaching methods andLesson progression:

Resources:

Assessment:


3/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

1.4 solves problemsthat involve ratio,rate and proportion(direct and

indirect);1.5 estimates and

calculates byselecting and usingoperationsappropriate tosolving problemsand judging thereasonableness ofresults (includingmeasurementproblems thatinvolve rationalapproximations ofirrational numbers);

1.6 uses a range of

techniques andtools (includingtechnology) toperformcalculationsefficiently and tothe required degreeof accuracy,including thefollowing laws andmeanings ofexponents (theexpectation beingthat learners shouldbe able to usethese laws and

meanings incalculations only):

1.6.1 xn xm =x

n + m

1.6.2 xn xm =x

n m

1.6.3 x0 = 1

1.6.4 xn =n

x

1

1.7 recognises,describes and usesthe properties ofrational numbers.


Resources:

Assessment:


4/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 2

PATTERNS,

FUNCTIONS AND

ALGEBRA

The learner will be

able to recognise,

describe and

represent patterns

and relationships, as

well as to solve

problems, using

algebraic language

and skills.

2.8 uses the laws of exponents tosimplifyexpressions and

solve equations.


Resources:

Assessment:

LO 4

MEASUREMENT

The learner will be

able to use

appropriate

measuring units,

instruments and

formulae in a variety

of contexts.

4.1 solves ratio andrate problemsinvolving time,distance andspeed;

4.2 solves problems(including problemsin contexts thatmay be used todevelop awarenessof human rights,social, economic,cultural andenvironmentalissues) involving

known geometricfigures and solids ina range ofmeasurementcontexts by:

4.2.1 measuringprecisely andselectingmeasuringinstrumentsappropriate to theproblem;

4.2.2 estimating andcalculating withprecision;

4.2.3 selecting and using

appropriateformulae andmeasurements;


Resources:

Assessment:


5/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

4.3 describes andillustrates thedevelopment ofmeasuringinstruments andconventions indifferent culturesthroughout history;

4.4 uses the Theorem of Pythagoras to solveproblems involvingmissing lengths inknown geometricfigures and solids.


Resources:

Assessment:


6/23



LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 1

NUMBERS,

OPERATIONS AND

RELATIONSHIPS


1.1 describes and

illustrates thehistoricaldevelopment ofnumber systems ina variety ofhistorical andcultural contexts(including local);

1.2 recognises, usesand representrational numbers(including verysmall numberswritten in scientificnotation), movingflexibly betweenequivalent forms inappropriatecontexts;

1.3 solves problems incontext, includingcontexts that maybe used to buildawareness of otherLearning Areas, aswell as humanrights, social,economic andenvironmentalissues such as:

1.3.1 financial (includingprofit and loss,budgets, accounts,loans, simple andcompound interest,hire purchase,exchange rates,commission, rentalsand banking);

1.3.2 measurements inNatural Sciencesand Technologycontexts;


Resources:

Assessment:


7/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11


indirect);1.5 estimates andcalculates byselecting and usingoperationsappropriate tosolving problemsand judging thereasonableness ofresults (includingmeasurementproblems thatinvolve rationalapproximations ofirrational numbers);

1.6 uses a range of

techniques andtools (includingtechnology) toperformcalculationsefficiently and tothe required degreeof accuracy,including thefollowing laws andmeanings ofexponents (theexpectation beingthat learners shouldbe able to usethese laws andmeanings incalculations only):

1.6.1 xn xm =x

n + m

1.6.2 xn xm =x

n m

1.6.3 x0 = 1

1.6.4 xn =n

x

1

1.7 recognises,describes and usesthe properties ofrational numbers.


Resources:

Assessment:


8/23


9/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11


10/23


LO 2

PATTERNS

FUNCTIONS AND

ALGEBRA

The learner will be

able to recognise,

describe and

represent patterns


well as to solve

problems, using

algebraic language

and skills.

2.1 investigates, indifferent ways, avariety of numericand geometricpatterns andrelationships byrepresenting and

generalising them,and by explainingand justifying therules that generatethem (includingpatterns found innatural and culturalforms and patternsof the learners owncreation);

2.7 uses the distributivelaw andmanipulative skillsdeveloped inGrade 8 to:

2.7.1 findtheproduct oftwobinomials;

2.7.2 factorisealgebraicexp

ressions(limitedtocommonfactorsanddifferenceof

squares).

2.8 uses the laws of exponents tosimplify expressionsand solve equations;

2.9 uses factorisation tosimplify algebraicexpressions andsolve equations.


Resources:


11/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 3

SPACE AND

SHAPE

(GEOMETRY)

The learner will be

able to describe and

represent

characteristics and

relationships

between two-

dimensional shapes

and three-

dimensional objects

in a variety of

orientations and

positions.

3.1 recognises,visualises andnames geometricfigures and solids in

natural and culturalforms and geometricsettings, including:

3.1.1 regular and irregularpolygons andpolyhedra;

3.1.2 spheres;

3.1.3 cylinders;

3.2 in contexts thatinclude those thatmay be used to buildawareness of social,cultural andenvironmentalissues, describes

the interrelationshipsof the properties ofgeometric figuresand solids with

justification,including:

3.2.1 congruence andstraight linegeometry;

3.3 uses geometry of straight lines andtriangles to solveproblems and to

justify relationshipsin geometric figures;

3.4 draws and/or constructs geometricfigures and makesmodels of solids inorder to investigateand compare theirproperties andmodel situations inthe environment;


Resources:

Assessment:


12/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

3.5 usestransformations,congruence andsimilarity toinvestigate,describe and justify(alone and/or as amember of a groupor team) propertiesof geometric figuresand solids,including tests forsimilarity andcongruence oftriangles.


Resources:

Assessment:

LO 4

MEASUREMENT

The learner will be

able to use

appropriate

measuring units,

instruments and


of contexts.



Resources:

Assessment:


13/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

4.2 solves problems(including problemsin contexts that

may be used todevelop awarenessof human rights,social, economic,cultural andenvironmentalissues) involvingknown geometricfigures and solids ina range ofmeasurementcontexts by:

4.2.1 measuring preciselyand selectingmeasuringinstruments

appropriate to theproblem;4.2.2 estimating and

calculating withprecision;

4.2.3 selecting and usingappropriateformulae andmeasurements;

4.3 describes andillustrates thedevelopment ofmeasuringinstruments andconventions indifferent cultures

throughout history;4.4 uses the Theoremof Pythagoras tosolve problemsinvolving missinglengths in knowngeometric figuresand solids.


Resources:

Assessment:


14/23



LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 1

NUMBERS,

OPERATIONS AND

RELATIONSHIPS


1.2 recognises, usesand represent

rational numbers(including verysmall numberswritten in scientificnotation), movingflexibly betweenequivalent forms inappropriatecontexts;

1.3 solves problems incontext, includingcontexts that maybe used to buildawareness of otherLearning Areas, aswell as human

rights, social,economic andenvironmentalissues such as:

1.3.1 financial (includingprofit and loss,budgets, accounts,loans, simple andcompound interest,hire purchase,exchange rates,commission, rentalsand banking);

1.3.2 measurements inNatural Sciencesand Technology

contexts;


Resources:

Assessment:


15/23


LEERUITKOMSTESASSESSERING-STANDAARDE

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11


indirect);1.7 recognises,

describes and usesthe properties ofrational numbers.


Resources:

Assessment:

LO 2

PATTERNS

FUNCTIONS AND

ALGEBRA

The learner will be

able to recognise,

describe and

represent patterns


well as to solve

problems, using

algebraic language

and skills.

2.1 investigates, indifferent ways, avariety of numericand geometricpatterns andrelationships by

representing andgeneralising them,and by explainingand justifying therules that generatethem (includingpatterns found innature and culturalforms and patternsof the learners owncreation;


Resources:

Assessment:


16/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

2.2 represents anduses relationshipsbetween variables

in order todetermine inputand/or outputvalues in a varietyof ways using:

2.2.1 verbal descriptions;

2.2.2 flow diagrams;

2.2.3 tables;2.2.4 formulae and

equations;2.3 constructs

mathematicalmodels that repre-sent, describe andprovide solutions toproblem situations,

showingresponsibility to-ward theenvironment andhealth of others(including problemswithin humanrights, social,economic, culturaland environmentalcontexts);

2.4 solves equations byinspection, trial-and-improvementor algebraicprocesses (additive

and multiplicativeinverses, andfactorisation),checking thesolution bysubstitution;


Resources:

Assessment:


17/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

2.5 draws graphs onthe Cartesian planefor given equations(in two variables),or determinesequations orformulae from givengraphs using tableswhere necessary;

2.6 determines,analyses andinterprets theequivalence ofdifferentdescriptions of thesame relationshipor rule presented:

2.6.1 verbally;

2.6.2 in flow diagrams;

2.6.3 in tables;

2.6.4 by equations orexpressions;

2.6.5 by graphs on theCartesian plane inorder to select themost usefulrepresentation for agiven situation;

2.9 uses factorisationto simplify algebraicexpressions and

solve equations.


Resources:

Assessment:


18/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 3

SPACE AND

SHAPE

(GEOMETRY)

The learner will be


represent

characteristics and

relationships

between two-

dimensional shapes

and three-

dimensional objects

in a variety of

orientations and

positions.

3.7 uses variousrepresentationalsystems to describeposition andmovement betweenpositions, including:

3.7.1 ordered grids;

3.7.2 Cartesian plane (4quadrants)

3.7.3 compass directionsin degrees;

3.7.4 angles of elevationand depression.


Resources:

Assessment:

LO 4

MEASUREMENT

The learner will be

able to use

appropriate

measuring units,

instruments and


of contexts.


4.4 uses the theorem of Pythagoras to solveproblems involvingmissing lengths inknown geometricfigures and solids.


Resources:

Assessment:


19/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 5

DATA HANDLING

The learner will beable to collect,

summarise, display

and critically analyse

data in order to draw

conclusions and

make predictions

and to interpret and

determine chance

variation.

5.1 poses questionsrelating to humanrights, social,economic,

environmental andpolitical issues inSouth Africa;

5.2 selects, justifiesand usesappropriatemethods forcollecting data(alone and/or as amember of a groupor team) whichincludequestionnaires andinterviews,experiments, andsources such as

books, magazinesand the Internet inorder to answerquestions andthereby drawconclusions andmake predictionsabout theenvironment;

5.3 organisesnumerical data indifferent ways inorder to summariseby determining:

5.3.1 measures of centraltendency;

5.3.2 measures ofdispersion;

5.4 draws a variety of graphs byhand/technology todisplay andinterpret dataincluding:

5.4.1 bar graphs anddouble bar graphs;

5.4.2 histograms withgiven and ownintervals;

5.4.3 pie charts;5.4.4 line and broken

line graphs;5.4.5 scatter plots;


Resources:

Assessment:


20/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

5.5 cr itically reads andinterprets data withawareness of

sources of errorand manipulation todraw conclusionsand makepredictions about:

5.5.1 social,environmental andpolitical issues (e.g.crime, nationalexpenditure,conservation,HIV/AIDS);

5.5.2 characteristics oftarget groups (e.g.age, gender, race,socioeconomic

groups);5.5.3 attitudes or

opinions of peopleon issues (e.g.smoking, tourism,sport);

5.5.4 any other humanrights andinclusivity issues;


Resources:

Assessment:


21/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

5.6 considers situationswith equallyprobable outcomes,

and:5.6.1 determinesprobabilities forcompound eventsusing two-waytables and treediagrams;

5.6.2 determines theprobabilities foroutcomes of eventsand predicts theirrelative frequencyin simpleexperiments;

5.6.3 discusses thedifferences

between theprobability ofoutcomes and theirrelative frequency.


Resources:

Assessment:


22/23



LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

LO 1

NUMBERS,

OPERATIONS AND

RELATIONSHIPS


1.3 solves problems incontext including

contexts that maybe used to buildawareness of otherlearning areas, aswell as humanrights, social,economic andenvironmentalissues such as:

1.3.2 measurements inNatural Sciencesand Technologycontexts.


Resources:

Assessment:

LO 3

SPACE AND

SHAPE

(GEOMETRY)

The learner will be


represent

characteristics and

relationships

between two-

dimensional shapes

and three-

dimensional objectsin a variety of

orientations and

positions.

3.2 in contexts thatinclude those thatmay be used tobuild awareness ofsocial, cultural andenvironmentalissues, describesthe inter-relationships of theproperties ofgeometric figuresand solids with

justification,including:

3.2.2 transformations.


Resources:

Assessment:


23/23


LEARNINGOUTCOMES

ASSESSMENTSTANDARDS

Wee

k 1

Wee

k 2

Wee

k 3

Wee

k 4

Wee

k 5

Wee

k 6

Wee

k 7

Wee

k 8

Wee

k 9

Wee

k 10

Wee

k 11

3.3 uses geometry of

straight lines and

triangles to solve

problems and to

justify relationships

in geometric figures;

3.4 draws and/or

constructs geometric

figures and makes

models of solids in

order to investigate

and compare their

properties and

model situations in

the environment;

3.6 recognises and

describes geometric

solids in terms of

perspective,

including simple

perspective drawing;

3.7 uses various

representational

systems to describe

position and

movement between

positions, including:3.7.1 ordered grids.


Resources:

Assessment:

LO 4

MEASUREMENT

The learner will be

able to use

appropriate

measuring units,

instruments and


of contexts.

4.4 uses the theorem of

Pythagoras to solveproblems involvingmissing lengths inknown geometricfigures and solids.


Resources:

Assessment:

Work Schedule MATHS Gr9

Documents

Transcript of Work Schedule MATHS Gr9