In math we have been making “arrangements” of tiles. In this activity the children use square tiles to make arrangements of 5, 6, 7, 8, 9, and 10 tiles. The rule for this is that all of the tiles must be touching each other in some way. They then make paper pictures of these tile arrangements. When the children share their pictures with the class, it helps them understand that a fixed amount of tiles can have many different configurations. It also helps them work on their accuracy in counting and creating the arrangements.
Following this, the children play a game with these pictures called “Quick Images”, in which they show a classmate one of their tile pictures for a short amount of time and then that classmate must recreate the arrangement from memory using the plastic tiles. This is very difficult and the children are allowed to look at the picture again and then copy it while looking at it if they have not been correct in their recreation.
Toss the Chips is another game in which children explore set amounts of an object. Chips that have two different colored sides, red and yellow, and a recording sheet were used in this game. The children take a specific number of chips, for example 5, and then toss the chips. They then record on their sheet how many are red and how many are yellow. They do this several times so that many different combinations can be found. For example for 5 they could have 5 and 0, 4 and 1, 3 and 2, 2 and 3, 1 and 4, and 0 and 5. The children do this for different numbers and thus begin to learn the idea that there are many ways to make a number. At the end of math time we all sat down and used our sheets to record on our Promethean board, all of the ways we had found to make 6. This idea that many different combinations can make a number is the basis for computation.