![]() Plugs can be removed from either one row or one column each time.Invite two students to play the game according to the following rules.Place it in the middle of a student circle or gather the students at a central demonstration table.Fill the spaces with either yellow or blue plugs. Prepare a red board so that it shows a 4 x 4 set of empty spaces.This task is a game and the problem is to decide the best strategy to win. Sheets of Poly Plug Paper for the teacher which have several blank boards on each sheet.Develop a class wall story report on the problem as a model and ask students to complete their own version of it. ![]() What do you think would be the number of ways if there were four cars and four garages?.Class discussion to record an agreed result.Students explore and record the possibilities.Note: It is preferable for each student (or pair of students) to have three (and more) small model cars to use, but this may not be practical, thus the Poly Plug alternative. Students now have a red 'car', a blue 'car' and a yellow 'car'. Ask the students to quickly draw three garages in a line.Ask for predictions of how many ways there would be altogether.Explore some of the ways they could 'park' and ask the class how these could be recorded. ![]() Choose three students to 'become' the cars and 'park' in the garages. It is probably less distracting to use the same car coloured in three ways, and this can easily be produced with computer clip art and a colour printer. Use large pictures of three different coloured cars.Another approach is to put three chairs at the front of the room and call them garages. Use masking tape or an alternative to mark out three garages large enough to take a child.How do you know when you have found them all?.The problem is that three cars of different colours park in three adjacent garages. This task relates to Professor Morris Puzzles 27 & 28. One red and two yellow/blue plugs per person.Units of work can be easily constructed around the Menu Maths Packs and the whole class investigations that grow from them.Ĭomputation, Pattern, Generalisation, Algebra You can create your own menus in this way, or use Café Conundrum Menu Maths Packs which have been prepared for you using these groupings. ![]() Additionally, with Poly Plug as the 'main ingredient' these investigations can be grouped into menus linked by content as shown. Ideas for doing so can be found in each link. Investigating Tasks with Poly Plug Poly Plug can be used to explore each of the tasks below as a whole class investigation. More Poly Plug activities can be found in the Free Tour section of Calculating Changes. Finding the balance is the essence of building a curriculum through which students, at all levels, learn that they can do mathematics because they can work like a mathematician.
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