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Home > MC2 > Chapter 1 > Lesson 1.1.2 > Problem 1-11

1-11.

Janelle wants to challenge you to a "Toothpick and Tiles" game (described in problem 1–8). Using exactly four tiles, solve her challenges below. Justify your answers with pictures and labels. .

  1. Find a tile pattern where the number of toothpicks is exactly double the number of tiles.

    Since the number of toothpicks is double the number of tiles, your pattern should have
    4 · 2 = 8 toothpicks.

    You should be able to rearrange the tiles and toothpicks to achieve this shape.

  2. Find a tile pattern where the number of toothpicks is more than double the number of tiles.

    There is more than one answer. Find one shape that uses 4 tiles and more than 8 toothpicks.

Use the eTool below to solve parts (a) and (b).
Click the link at right for the full version of the eTool: MC2 1-11 HW eTool