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Mathematics: applications and interpretation
This course recognises the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasises the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics.
The IB maths standard level has two external examinations and one internally assessed coursework piece, which is then externally moderated. Each of the external examinations are worth 40% and the course work is worth 20% of the overall grade.
Topics you need to be confident on:
At the beginning of the course you will take an entry test so that we know what you can remember from your GCSE’s and what additional support you may need. The topics below are ones that you need to be confident on and will help you on the entry test.
Right angled and non right angled trigonometry and pythagoras
Probability and Statistics
Extension Task: Back of an Envelope.
How much water do you use?
Which of your daily activities use water?
How much water does each use?
In an average week what does your household use water for? Write down all you can think of.
How many times does your family do each activity each week?
Research how many litres of water are used for each activity that you and your family do.
Now you have all of your figures so far to:
estimate the average number of litres of water used by your household in an average week.
estimate the average number of litres of water used by your household in an average year.
Comment on your findings so far.
How reliable are your findings / estimates?
What may have caused some errors? Are these errors significant? How could you adjust your figures to account for this?
If possible repeat steps 1 - 7 for a relative and compare their average water usage to your households. How does it compare? Comment on your findings.
Find an estimate for how many households there are in your country?
Estimate the amount of water used for a domestic task in your country for one day, one week and one year?
Check your answers against official figures
How accurate were you?
What is your percentage error?
How could you make your results more accurate?
What assumptions have you made when calculating your figures?
How do you think official figures are calculated?
Which activity uses the most water in your household?
Is this what you expected?
What could you do to reduce the amount of water used in your household?
Select one thing you could do.
a) Estimate how much water your household could save in one year if it did this.
Estimate how much water could be saved in your country in one year if every household in your country did this.
FILMS TO WATCH
Good Will Hunting