YEAR 8 MYP MATHEMATICS
UNIT QUESTION: What is a good system? AOI Focus: Health & Social Education
BANK BANTER
DUE DATE: 29/10/09
NAME / CLASS / DATEYou will be assessed on the following criteria:
Criterion B: Investigating Patterns (max 8) / Your level:
Criterion C: Communication in Mathematics (max 6) / Your level:
Introduction:
You have just won $1000 in a Discovery College fundraising raffle!
Unfortunately, you are not able to use the money for 5 years. Your parents tell you to invest the money with a bank in order to earn interest and increase the value of your winnings.
Your task:
· Read through the four bank advertisements.
· Which bank looks the ‘best’ in which to invest your money? Why?
· Which bank looks the ‘worst’ in which to invest your money? Why?
· Which bank do you think will give you the biggest amount after 5 years? INVESTIGATE
Extension:
· What would happen if you invested your money for more than 5 years?
· Would this change your opinion on which is the ‘best’ bank to invest your money? Why?
· Which bank do you think will give you the greatest amount after 10 years and beyond? INVESTIGATE
Some useful hints:
· Start small; use simple cases to help look for and build up patterns.
· Be Systematic; adopt an approach where what you do next follows on from, and builds on what you did before.
· Be Organized; record what you find in a manner that will help you and others to make sense of what you have done and found.
· Be Visual: diagrams, charts, graphs, tables, etc when appropriate are good tools to use when you want to display information.
· Describe clearly: make the effort to communicate what you have done and what you discover, neatly and in a sensible way.
· Be prepared to go wrong; if at first it doesn’t work out look for a different approach – don’t give up!
Getting started – the first step:
· Begin by collecting information on the first few years of investment? Use Excel to help you calculate the interest and then check your calculations.
· Record evidence down in a table, or use your Excel spreadsheet before copying and pasting it into a Word document. You may need more than one table, or combine all your findings into one table
· Can you decide straight away which is the ‘best’ bank to invest your money?
Write a paragraph clearly describing how your investment looks in the short (5 yrs),
medium(6-10yrs) and long term (+11 yrs).
· Draw line graphs to show how your invest will change over time.
· What patterns can you find with each bank? Write down everything that you can see.
· Use mathematical language to help you e.g. short term, interest rate, compound interest etc.
· Can you rank the banks in order?
Suggested websites:
· www.bbc.co.uk/schools/bitesize/maths (click on Handling Data)
· www.mathsnet.net/graphs/index.html
· www.waldomaths.com (click 11 to 14 then Straight Line Graphs)
To obtain the highest level for each of the following criteria you will need to do the following:
Criterion /Level
/ Descriptors / IndicatorsCriterion B
INVESTIGATING PATTERNS / 0 / · Has not reached a standard described below / · You have given little or no thought to what you have written.
1 – 2 / · Uses basic inquiry techniques to solve problems.
· Shows a small part of the working out with guidance from the teacher. / · You have attempted to investigate the problem.
· Your work shows a part of the working out.
· You needed guidance from the teacher to help you understand the patterns.
3 – 4 / · Uses basic inquiry techniques to solve problems.
· Recognises some simple patterns.
· Shows part of the working out and has some understanding of what has been found. / · You have investigated most banks for a 5-year investment.
· Your work shows some understanding of the patterns used.
· You have successfully recognised simple patterns and written these patterns using words.
5 – 6 / · Uses inquiry techniques to solve problems.
· Recognise simple patterns in different situations.
· Arrives at a single result and makes predictions based on extending the pattern(s).
· Describes simple patterns as relationships. / · You have investigated all banks for a 5-year investment.
· Your work shows a good understanding of the patterns used.
· You have arrived at a single result.
· You have made predictions based upon extending the pattern(s) some of the time.
7 – 8 / · Uses inquiry techniques to solve problems.
· Recognise simple patterns in different situations.
· Arrives at a single result and makes predictions consistent with findings.
· Describes simple mathematical relationships and general rules. / · You have investigated all banks for a 5-year investment.
· You have investigated other terms of investment.
· Your work shows a very good understanding of the patterns used.
· You have arrived at a single result.
· You have made predictions consistent with findings.
· You have successfully described simple relationships and general rules.
Criterion /
Level
/ Descriptors / IndicatorsCriterion C
COMMUNICATION IN MATHEMATICS / 0 / · Has not reached a standard described below. / · You have not reached a standard described by any of the descriptors below.
1 – 2 / · The work is untidy and incorrectly set out.
· Few mathematical symbols and terminology have been used correctly with guidance from the teacher. / · Your work is difficult to follow.
· You have used basic language and have presented some of the work clearly.
· Few mathematical symbols and terminology are used correctly.
· Guidance from the teacher was needed.
3 – 4 / · Some of the work is neat and correctly set out.
· Some appropriate mathematical language and notation have been used correctly.
· Different forms of representation have been used e.g. charts, tables / · Your work is well presented and your descriptions are clear.
· You have used good mathematical language in most of the investigation.
· You have attempted to use charts/graphs and tables in
your work.
5 – 6 / · Most of the work is neat and correctly set out.
· Mostly appropriate mathematical language and notation have been used correctly.
· Different forms of representation have been used e.g. charts, tables
· You have stated the steps followed to solve the problem. / · Your work is well presented and your descriptions are very clear.
· You have used excellent mathematical notation and terminology throughout the investigation.
· You have used charts/graphs and tables in your work.
· You have attempted to show the steps you followed to solve the problem.
SELF EVAL / B
C / STUDENT COMMENT:
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