Lesson Plan Maths Gr9 m3

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    LESSON PLAN

    Learning Area: Mathematics

    Lesson: Module 3: Number patternsGraphical representationsEquationsStatisticsProbability theory

    Grade: 9 Integration:

    Content:

    Duration: Date/Week:

    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    LEARNING UNIT 1

    Understand

    descriptions of

    patterns

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.1 investigates, in differentways, a variety ofnumeric and geometric

    patterns and relation-ships by representingand generalising them,and by explaining andjustifying the rules thatgenerate them (includingpatterns found in natureand cultural forms andpatterns of the learnersown creation.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Make tables fromdescriptions

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.2 represents and usesrelationships betweenvariables in order todetermine input and/oroutput values in a variety

    of ways using:2.2.1 verbal

    descriptions;

    2.2.2 flow diagrams;

    2.2.3 tables;

    2.2.4 formulae andequations.

    Complete flowdiagrams

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe andrepresent patterns and

    relationships, as well as tosolve problems, using

    algebraic language and skills.

    2.1 investigates, in differentways, a variety of

    numeric and geometricpatterns and relation-ships by representingand generalising them,and by explaining andjustifying the rules thatgenerate them (includingpatterns found in natureand cultural forms andpatterns of the learnersown creation.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Make decisions onthe basis ofinformation given

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.3 constructs mathematical

    models that represent,

    describe and provide

    solutions to problem

    situations, showingresponsibility toward the

    environment and health

    of others (including

    problems within human

    rights, social, economic,

    cultural and

    environmental contexts).

    Recognise thevalue of tabularinformation

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.6 determines, analyses

    and interprets the

    equivalence of different

    descriptions of the samerelationship or 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 in

    order to select themost usefulrepresentation fora given situation.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    LEARNING UNIT 2 - ASSESSMENT

    Calculate values intables correctly

    LO 2PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.2 represents and usesrelationships betweenvariables in order to

    determine input and/oroutput values in a varietyof ways using:

    2.2.1 verbaldescriptions;

    2.2.2 flow diagrams;

    2.2.3 tables;2.2.4 formulae and

    equations.

    Make tables fromdescriptions orequations

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.2 represents and usesrelationships betweenvariables in order todetermine input and/oroutput values in a varietyof ways using:

    2.2.1 verbaldescriptions;

    2.2.2 flow diagrams;

    2.2.3 tables;2.2.4 formulae and

    equations.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Draw graphs fromtables or equations

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.5 draws graphs on theCartesian plane for givenequations (in twovariables), or determinesequations or formulaefrom given graphs using

    tables where necessary.

    Find equations ofstraight-line graphs

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.5 draws graphs on theCartesian plane for givenequations (in twovariables), or determinesequations or formulaefrom given graphs usingtables where necessary.

    Read graphs withunderstanding

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and represent

    patterns and relationships, as wellas to solve problems, using

    algebraic language and skills.

    2.6 determines, analyses

    and interprets the

    equivalence of different

    descriptions of the same

    relationship or 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 fora given situation.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    LEARNING UNIT 3 - ASSESSMENT

    State a wordproblem in algebra

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.3 constructs mathematical

    models that represent,

    describe and provide

    solutions to problem

    situations, showingresponsibility toward the

    environment and health

    of others (including

    problems within human

    rights, social, economic,

    cultural and

    environmental contexts).

    Use tables and flowdiagrams to solvesome equations

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe andrepresent patterns and

    relationships, as well as tosolve problems, using

    algebraic language and skills.

    2.2 represents and usesrelationships betweenvariables in order todetermine input and/or

    output values in a varietyof ways using:

    2.2.1 verbaldescriptions;

    2.2.2 flow diagrams;

    2.2.3 tables;2.2.4 formulae and

    equations.

    Solve equationsalgebraically

    LO 2

    PATTERNS FUNCTIONS ANDALGEBRA

    The learner will be able torecognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.4 solves equations by

    inspection, trial-and-

    improvement or

    algebraic processes

    (additive and

    multiplicative inverses,

    and factorisation),

    checking the solution by

    substitution.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Check solutions

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.4 solves equations by

    inspection, trial-and-

    improvement or

    algebraic processes

    (additive and

    multiplicative inverses,

    and factorisation),

    checking the solution by

    substitution.

    Tell equations and

    expressions apart

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.6 determines, analyses

    and interprets the

    equivalence of different

    descriptions of the same

    relationship or 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 fora given situation.

    Solve twoequationssimultaneously

    LO 2

    PATTERNS FUNCTIONS ANDALGEBRA

    The learner will be able torecognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.4 solves equations by

    inspection, trial-and-

    improvement oralgebraic processes

    (additive and

    multiplicative inverses,

    and factorisation),

    checking the solution by

    substitution.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Solve simpleexponentialequations

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.8 uses the laws of

    exponents to simplify

    expressions and solve

    equations.

    LEARNING UNIT 4 - ASSESSMENT

    Collect information

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.1 poses questions relatingto human rights, social,economic, environmentaland political issues in

    South Africa.

    Arrange information

    into tables

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.2 represents and usesrelationships betweenvariables in order todetermine input and/oroutput values in a varietyof ways using:

    2.2.1 verbaldescriptions;

    2.2.2 flow diagrams;

    2.2.3 tables;

    2.2.4 formulae and

    equations.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Arrange informationinto tables

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.2 selects, justifies anduses appropriatemethods for collectingdata (alone and/or as amember of a group orteam) which includequestionnaires and

    interviews, ex

    periments,and sources such asbooks, magazines andthe Internet in order toanswer questions andthereby drawconclusions and makepredictions about theenvironment.

    Calculatedescriptivemeasures

    LO 5

    DATA HANDLINGThe learner will be able to collect,summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.3 organises numericaldata in different ways in

    order to summarise bydetermining:5.3.1 measures of

    central tendency;5.3.2 measures of

    dispersion.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Make appropriategraphs of the data

    LO 2

    PATTERNS FUNCTIONS AND

    ALGEBRAThe learner will be able to

    recognise, describe and representpatterns and relationships, as well

    as to solve problems, usingalgebraic language and skills.

    2.6 determines, analyses

    and interprets the

    equivalence of different

    descriptions of the same

    relationship or 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 fora given situation.

    Make appropriategraphs of the data

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.4 draws a variety ofgraphs byhand/technology todisplay and interpretdata including:

    5.4.1 bar graphs anddouble bargraphs;

    5.4.2 histograms withgiven and ownintervals;

    5.4.3 pie charts;

    5.4.4 line and brokenline graphs;

    5.4.5 scatter plots.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Interpret data ingraphs

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determine

    chance variation.

    5.5 critically reads andinterprets data withawareness of sources oferror and manipulation todraw conclusions andmake predictions about:

    5.5.1 social,environmentaland politicalissues (e.g.crime, nationalexpenditure,conservation,HIV/AIDS);

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

    economicgroups);

    5.5.3 attitudes oropinions ofpeople on issues(e.g. smoking,tourism, sport);

    5.5.4 any other humanrights andinclusivity issues.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    LEARNING UNIT 5 - ASSESSMENT

    Discuss

    probabilities andrisks sensibly

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.1 poses questions relatingto human rights, social,economic, environmentaland political issues in

    South Africa;5.5 critically reads and

    interprets data withawareness of sources oferror and manipulation todraw conclusions andmake predictions about:

    5.5.1 social,environmentaland politicalissues (e.g.crime, national

    expenditure,conservation,HIV/AIDS);

    5.5.2 characteristics oftarget groups(e.g. age, gender,race, socioeconomicgroups);

    5.5.3 attitudes oropinions ofpeople on issues

    (e.g. smoking,tourism, sport);

    5.5.4 any other humanrights andinclusivity issues.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Estimateprobabilities

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.6 considers situations withequally probableoutcomes, and:

    5.6.1 determinesprobabilities forcompound eventsusing two-waytables and treediagrams;

    5.6.2 determines theprobabilities foroutcomes ofevents andpredicts theirrelative frequency

    in simpleexperiments;

    5.6.3 discusses thedifferencesbetween theprobability ofoutcomes andtheir relativefrequency.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Calculateprobabilities insimple experiments

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determinechance variation.

    5.6 considers situations withequally probableoutcomes, and:

    5.6.1 determinesprobabilities forcompound eventsusing two-waytables and treediagrams;

    5.6.2 determines theprobabilities foroutcomes ofevents andpredicts theirrelative frequency

    in simpleexperiments;

    5.6.3 discusses thedifferencesbetween theprobability ofoutcomes andtheir relativefrequency.

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    LearningActivities:

    Learning outcome: Assessment Standards:Teaching methods and Lesson

    Progression:Resources: Assessment:

    Calculateprobabilities incompoundexperiments

    LO 5

    DATA HANDLINGThe learner will be able to collect,

    summarise, display andcritically analyse data in

    order to draw conclusionsand make predictions and to

    interpret and determine

    chance variation.

    5.6 considers situations withequally probableoutcomes, and:

    5.6.1 determinesprobabilities forcompound eventsusing two-waytables and treediagrams;

    5.6.2 determines theprobabilities foroutcomes ofevents andpredicts theirrelative frequency

    in simpleexperiments;

    5.6.3 discusses thedifferencesbetween theprobability ofoutcomes andtheir relativefrequency.

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