Task 1 - Investigation Presentation SL-HL

8/2/2019 Task 1 - Investigation Presentation SL-HL

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MATHEMATICS SL &

HLPORTFOLIO TASK TYPE I

INVESTIGATION


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MATHEMATICAL

INVESTIGATIONis clearly stated and contains noambiguity

develops from an initial problemcontains multi-solution paths,that is, the potential to choose

different courses of action from arange of options


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MATHEMATICAL

INVESTIGATIONQuestions before startingWhat is the purpose of the task? ( introduce atopic, reinforce mathematical meaning or take

the place of a revision exercise)

What part of the syllabus does this assess?

What prior knowledge is required to complete

the task successfully?What skills should be reviewed?

What skills are expected to be developed

through the task?


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MATHEMATICALINVESTIGATION

vProduce a strategy

vGenerate datavRecognize patterns or

structuresvSearch for further cases

ESSENTIAL SKILLS TO BE ASSESSED


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CRITERIA


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MATHEMATICALINVESTIGATIONCriterion A NOTATION

Limit the use of computer/calculator notation , the use of ^, * , E09 , etc isinappropriate

Avoid careless misuse of some terminology (e.g. equation instead of expression)

Give proper attention to notation, approximation signs should be used where appropriate

Criterion B COMMUNICATION

Begin with an introduction to the task

Make the work easy to read and follow , the written presentation should flow smoothly

Avoid the Question-and-Answer format

Use comments and annotations accompanied the steps and results

Label all graphs (particularly those which have been obtained from technology)

Do not relegate tables to the appendix

Do not make your work excessively long (12-15 pages max)

Avoid repetition (do not abuse of cut-and paste technique)

End the task with the conclusions


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MATHEMATICALINVESTIGATION

Criterion D INTERPRETATION OF RESULTS

Avoid quoting results from Internet sources but explore and investigate on your own

Informal explanation with some mathematical basis must be presented

Formal explanation is sufficient for C5, D4

IMPORTANT (In Criteria C and D)

Validate the general statement (including values from different number sets)

Analise the scope and limitations of your general formula as well as the quality of the explanationoffered

Explain and critically interpret the model and the methods to adapt the model to new situations

Criterion EUSE OF TECHNOLOGY

Use graphs which truly enhance the presentation of the work

Technology must be resourceful; extending the analytical approach and contributing significantly tothe development of the task

High-quality graphs (or the number of them) do not guarantee good marks unless they are


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MATHEMATICAL

INVESTIGATIONSome highlights

Clear introductions

Looks and reads like a textbook: structuredsections as chapters

Concise, easy to understand data

Clear calculations

Tables logically presented with explanationson the same page

Explanation boxes


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MATHEMATICAL

INVESTIGATIONLowlights

No visuals

Data table not explained

Explanations of graphs precede the graphs

Poorly handwritten

Only one mathematical operation

All graphs put at end

Separate sections Sources of Error,

Conclusion, etc. dont give smooth flow.


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MATHEMATICAL

INVESTIGATIONSome tips

Work through all problems with pencil and

calculator before writing it upWrite a brief introduction rather than jumping

right in to the first question

Set a tone of readability

Pretend that you are writing a chapter in atextbook a cohesive piece of mathematicalwriting with graphs/tables within the context

Explain each step fully, remembering that


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[An introduction

would be helpfulhere. Criterion B.]

(including teachers

comments)


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[Please explain thesignificance of this

table. Are thevalues exact?Criterion B.]


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[Is thisexact

enough?CriterionB.]

[On the yaxis thelabelshould be

termvalue ortn.CriterionB.]


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[You assume theFibonacci sequence

is known. A briefdescription of itwould be a goodidea. Criterion B.][It would be clearer

here one or two

more stepsexplaining how youget to tn+1.Criterion B.]


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[Is it the fractionbelow?]

[How are yougetting from tn to


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[By not developingtn = 2 + 1/ tn+1 you

have missed tn+1 =(2a + b)/a. There issome work missinghere. Criterion B.]


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[You have established ageneral statement and testedvalidity, but this is poorlycommunicated.Criterion B rather thancriterion C applies.]

[Are there

limitations on k?Where is the

[Youhave notgraphedotherexamples.CriterionE.]


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Task 1 - Investigation Presentation SL-HL

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Transcript of Task 1 - Investigation Presentation SL-HL