STUDENT CLASSROOM ACTIVITY - TOWERS FOUR-HIGH
You will need a total of 100 Unifix (or similar) Cubes in two colours (50 blocks of each colour) to build towers.
- Record the date and the title 'Towers 4 high' on a clean page in your journal (write your name at the top of the page if you are sharing or not using your own journal).
Date: __.__.__
Title: Towers 4 High
GETTING STARTED
Solve this 'towers' problem below for yourself and develop a way to convince others that you have found all possible towers - that there are no more and no less:
- Using only two colours of cubes, make as many different-looking towers as possible, each exactly four cubes high.
- Each tower must always point up, with the little knob on top.
- Write down your prediction of the number of towers you can build which are different.
- Draw a a circle around the number of towers that you have predicted.
- Start building your towers and the find a way to convince yourself and others (prove) that you have found all possible towers four cubes high and that they are all different.
WHEN YOU HAVE FINISHED
- Write down the number of towers you can build which are different.
- Draw a square around the number of towers that you found.
Keep a record of your solution, including your justifications/proof, to share during the next workshop.
- Were your predictions correct?
- What did you used to think?
- What do you think now?