Take Three Numbers Choose any two odd numbers (such as 1, 3, 5 etc) and one even number (such as 2, 4, 6, 10 etc) . Now add them together and record your answer. Draw a picture of something that could represent that number (like a bunch of 6 flowers) 1. What do you notice about the answer? 2. Would it work in exactly the same way if you used different numbers but still two odds and one even? 3. Can you use your example to prove what will happen every time you add two odd numbers and one even number? See if you can explain this to someone else. Are they convinced by your argument? Once you can convince someone else, see if you can find a way to show the argument on paper. You might draw something or take a photo of things you have used to prove that your result is always true from your example. Square Areas The outer square has sides of length 1 unit (eg. 1 metre). Can you work out the area of the inner square and give an explanation of how you did it? This issue has to be solved St. James Park in New Castle holds 50,000 people. Tickets in the upper level cost $40 per seat and the seats on the lower level go for $80 a seat. The All Blacks played Tonga and the stadium was sold out. The total income for the ticket sales was $3.28 million ($3 280 000). How many people were seated below and how many people were seated in the upper level? Are there different options for answers?
(Show all of your thinking on paper!)