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8/3/2019 Lesson Plan Maths Gr9 m3
1/16
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.
8/3/2019 Lesson Plan Maths Gr9 m3
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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.
8/3/2019 Lesson Plan Maths Gr9 m3
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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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