july grade 9 (m athematics) objective … · july grade 9 (m athematics) objective learner profile...
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JULY GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- WORKING WITH NUMBERSAOI- EnvironmentSignificant Concepts- We depend onnumbers everyday and we need tounderstand number systems andhow to use them. Estimation is a wayto get an approximate answerStudents should know -1. natural numbers, integers, primenumbers, square numbers, rationaland irrational numbers2. patterns and sequences3. the standard form A x 10n4. the four rules for calculations withwhole numbers, decimal fractionsand vulgar (and mixed) fractions,including correct ordering ofoperations and use of brackets5. how to use an electronic calculatorefficiently;6. use set language, set notation andVenn diagrams to describe sets andrepresent relationships betweensets.7. estimation and approximationMYP Unit Question- Where in thereal world would I find patterns? Isestimation more appropriate thanfinding an exact answer? How do weuse numbers in everyday life?
Topic - 1CRITERIA AKnowledge andUnderstanding
CRITERIA BInvestigating Patterns
CRITIERIA CCommunication inMathematics
CRITERIA D Reflectionin Mathematics
Topic - 1InquirerKnowledgeableThinkerCommunicatorReflective
Topic - 1Focus on-OrganisationInformation LiteracyThinkingTransferCollaborationCommunicationReflection
Topic - 1Connected to:HumanitiesSciences
AUG GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- WORKING WITH NUMBERSAOI- EnvironmentSignificant Concepts- We depend onnumbers everyday and we need to
Topic - 1CRITERIA AKnowledge andUnderstanding
Topic - 1InquirerKnowledgeableThinker
Topic - 1Focus on-OrganisationInformation Literacy
Topic - 1Connected to:HumanitiesSciences
understand number systems andhow to use them. Estimation is a wayto get an approximate answerStudents should know-1. upper and lower bounds tosolutions of simple problems to aspecified accuracy2. elementary ideas and notation ofratio, direct and inverse proportionand common measures of rate3. how to increase and decrease aquantity by a given ratio4. how to calculate a givenpercentage of a quantity;5. how to express one quantity as apercentage of another;6.calculations involving reversepercentages, e.g. finding the costprice given the selling price and thepercentage profit7.how to use current units of mass,length, area, volume and capacity inpractical situations and expressquantities in terms of larger orsmaller unit8. how to calculate times in terms ofthe 24-hour and 12-hour clock; readclocks, dials and timetables9. calculations using money andconversion from one currency toanother10. how to use given data to solveproblems on personal and householdfinance involving earnings, simpleinterest and compound interestMYP Unit Question- Where in the
CRITERIA BInvestigating Patterns
CRITIERIA CCommunication inMathematics
CRITERIA DReflection inMathematics
CommunicatorReflective
ThinkingTransferCollaborationCommunicationReflection
real world would I find patterns? Isestimation more appropriate thanfinding an exact answer? How do weuse numbers in everyday life?
SEPT GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- ALGEBRAAOI- Human ingenuitySignificant Concepts- Algebra is away of calculating and working outrelationships between quantitiesusing letters to represent numbers.Students should know-1. the language of algebra2. simplifying algebraic expressions3. how to find a rule for a sequence4. changing the subject of a formula5. how to construct simpleexpressions6. how to set up simple equations7. how to construct and transformmore complicated formulae andequations8. how to manipulate directednumbers; use brackets and extractcommon factors, expand products ofalgebraic expressions; factorize9. how to use and interpret positive,negative and zero indices, fractionalindicesMYP Unit Question- What strategies
can be used to solve for unknowns?
Topic- 2CRITERIA AKnowledge andUnderstanding
CRITERIA BInvestigating Patterns
CRITERIA CCommunication inMathematics
Topic - 2InquirerKnowledgeableThinkerCommunicatorReflective
Topic- 2Focus on-OrganisationInformation literacyThinkingCommunicationCollaborationTransferReflection
Topic - 2Connected to:Sciences
OCT GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- ALGEBRAAOI- Human ingenuitySignificant Concepts- Algebra is away of calculating and working out
Topic- 2CRITERIA AKnowledge andUnderstanding
Topic - 2InquirerKnowledgeableThinker
Topic- 2Focus on-OrganisationInformation literacy
Topic - 2Connected to:Sciences
relationships between quantitiesusing letters to represent numbers.Students should know-1. how to solve simple linearequations in one unknown, solvesimultaneous linear equations in twounknowns2. how to solve quadratic equationsby factorization and either by use ofthe formula or by completing thesquare;3. how to solve simple linearinequalitiesMYP Unit Question- What strategiescan be used to solve for unknowns?
CRITERIA BInvestigating Patterns
CRITERIA CCommunication inMathematics
CommunicatorReflective
ThinkingCommunicationCollaborationTransferReflection
NOV GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- GRAPHS AND FUNCTIONSAOI- Human IngenuitySignificant concepts- Graphs conveydata in a concise way. A function isthe instruction for what to do with anumber.Students should know-1. Cartesian coordinates in twodimensions,2. how to interpret and use graphs inpractical situations including travelgraphs and conversion graphs,3. how to draw graphs from givendataMYP Unit Question- What kind ofquestions can and cannot beanswered from graphs? What is thebest way to represent a function?
Topic - 3CRITERIA AKnowledge andUnderstanding
CRITERIA BInvestigating Patterns
CRITIERIA CCommunication inMathematics
CRITERIA DReflection inMathematics
Topic - 3InquirerKnowledgeableThinkerCommunicatorReflective
Topic - 3Focus on-OrganisationInformation LiteracyThinkingTransferCollaborationCommunicationReflection
Topic - 3Connected to:HumanitiesSciences
DEC GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- GRAPHS AND FUNCTIONSAOI- Human IngenuitySignificant concepts- Graphs conveydata in a concise way. A function isthe instruction for what to do with anumber.Students should know-1.how to find distance travelled froma speed-time graph2. drawing and recognising straightline graphs3.finding the gradient of a straightline 4.interpreting the equationy=mx + c5.finding the length of a line segment6.curved graphs7. graphs of reciprocal functionsMYP Unit Question-What kind ofquestions can and cannot beanswered from graphs? What is thebest way to represent a function?
Topic - 3CRITERIA AKnowledge andUnderstanding
CRITERIA BInvestigating Patterns
CRITIERIA CCommunication inMathematics
CRITERIA DReflection inMathematics
Topic - 3InquirerKnowledgeableThinkerCommunicatorReflective
Topic - 3Focus on-OrganisationInformation LiteracyThinkingTransferCollaborationCommunicationReflection
Topic - 3Connected to:HumanitiesSciences
JAN GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- GRAPHS AND FUNCTIONSAOI- Human IngenuitySignificant concepts- Graphs conveydata in a concise way. A function isthe instruction for what to do with anumber.Students should know-1. solving quadratic and otherequations graphically2.other algebraic graphs3.drawing a tangent to a curve4.calculating the gradient of the
Topic - 3CRITERIA AKnowledge andUnderstanding
CRITERIA BInvestigating Patterns
CRITIERIA CCommunication inMathematics
Topic - 3InquirerKnowledgeableThinkerCommunicatorReflective
Topic - 3Focus on-OrganisationInformation LiteracyThinkingTransferCollaborationCommunicationReflection
Topic - 3Connected to:HumanitiesSciences
tangent5.functions, composite functions6.inverse of a function7.inequalities and regions in a plane8.representing simultaneousinequalities9. linear programming and itspractical applicationsMYP Unit Question-What kind ofquestions can and cannot beanswered from graphs? What is thebest way to represent a function?
CRITERIA DReflection inMathematics
FEB GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- STATISTICSAOI- EnvironmentsSignificant concepts- Frequencytables, pictograms, bar graphs, piecharts, averages, cumulativefrequencyStudents should know-1. collecting and organising data2. frequency tables3. pictograms, bar graphs, pie charts4. averages-mean, median, mode5. finding the mean of grouped data6.histograms7.dispersion and cumulativefrequency (table and curve)MYP Unit Question- In what wayscan sets of data be represented bystatistical measures?
Topic - 4CRITERIA AKnowledge andUnderstanding
CRITIERIA CCommunication inMathematics
CRITERIA DReflection inMathematics
Topic - 4InquirerKnowledgeableThinkerCommunicatorReflective
Topic - 4Focus on-OrganisationInformation LiteracyCollaborationCommunicationReflectionTransfer
Topic - 4Connected to:HumanitiesSciences
MARCH GRADE 9 (MATHEMATICS) OBJECTIVE LEARNER PROFILE ATL INTERDISCIPLINARYTOPIC- ProbabilityAOI- Human IngenuitySignificant concepts- The expectedoutcome of an event is a prediction
Topic - 5CRITERIA AKnowledge and
Understanding
Topic - 5InquirerKnowledgeableThinker
Topic - 5Focus on -OrganisationInformation Literacy
Topic - 5Connected to:HumanitiesSciences
of what might happen in the longrun.Students should know-1. probability scale2. experimental or relativeprobability3. expected or theoretical probability4. probability of an event nothappening5. mutually exclusive events6. independent events7. representing probability usingdiagramsMYP Unit Question- How is theprobability of an event determinedand described?
CRITIERIA CCommunication inMathematics
Communicator CollaborationCommunication