{{:2018:mathematics:mathematical-thinking-banner-790x50.jpg|Mathematical Thinking Banner}} ====== STUDENT CLASSROOM ACTIVITY - TOWERS FOUR-HIGH ====== {{ :2018:mathematics:teacher-workshops:towers:unifix-640x360.jpg |Towers Four High image}} **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? ----