Modelling and Problem Solving

Modelling and Problem Solving

By Habeeba Moosa

Open Ended

Every Even number is a sum of two primes. Prove this by using examples. If not give a counter example.

Every even number is a sum of two primes

Counter example

2 is an even number which cannot be expressed as a sum of two primes (e.g 2 = 1 + 1), but 1 is not a prime number), so at this point the statement is wrong.

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Some text here about the topic of discussion

Learning objectives

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• žThree approaches to calculations: algorithms, adhocorithms and calculators;

• The key process of mathematical modelling;

• The contribution of electronic calculators to this process;

• Interpreting answers obtained on calculators; and

• Problem solving.

Draw

How many apples at 21p each can I buy with 90p? Explain with all the steps?

Open Ended

ž1. Four holes are drilled in a straight line in a rectangular steel plate. The distance between hole 1 and hole 4 is 35mm. The distance between hole 2 and hole 3 is twice the distance between hole 1 and hole 2. The distance between hole 3 and hole 4 is the same as the distance between hole 2 and hole 3. What is the distance, in millimeters, between hole 1 and hole 3?

Open Ended

ž There are five people in a room and each person shakes every other person’s hand exactly one time. How many handshakes will there be?

Open Ended

žThere are five people in a room and each person shakes every other person’s hand exactly one time. How many handshakes will there be?