For this activity the students are asked to think of a number, then follow the path to the end. They can choose which way they wish to go completing the actions as they go along. If they have answered correctly and followed the correct path they should always end with the answer being 1o bigger than the number they have started with. Once they have seen this they can then prove it algebraically. This could be adapted to multiplication and division, standard form, negative numbers etc.
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