This is a Level 3 Geometry activity from the Figure It Out Series.
A PDF of the student activity is included.
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- Drawing and interpreting directions and movement.
- Isometric dot paper
- A dice
- FIO, Level 3, Geometry, Walking Triangles, page 18
Discuss with the class and interpret the directions indicated in the diagram that Trevor Triangle is holding. The walks already illustrated should be a good basis for this discussion.
To further extend thinking, use questions such as:
- What would Trevor Triangle have to throw to end up back where he started?
- What would Trevor’s path be if he threw a 1, 2, 3, or 4 repeatedly?
- What are all the possible paths Trevor could take if he threw a mixture of 1, 2, 3, or 4?
Students could physically walk out the paths taken by Trevor if they are having difficulties visualising the possible options.
Answers to Activity
- a. 4, 5, 4, 2
b. 2, 4, 2, 4
c. 5, 3, 1, 2 or 4, 6, 2, 2
d. 1, 1, 4, 5 or 1, 5, 2, 1 - Answers will vary.