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Many students find that a context or situation helps them think about algebraic ideas. In the next problem, we'll look at different representations of a situation that lead to a solution. Note 6
In this section we'll analyze problems at the 3-5 grade level for their algebraic content. For each problem, find a mathematical solution, then answer questions (a)-(d) listed below. If it is helpful, print this page and refer to the questions as you work on each problem.
a. | How would you solve the problem? |
b. | What is the algebraic content in the problem? |
c. | How do you think your students might solve the problem? What different representations might they use? |
d. | What question or questions might you ask to get at "doing and undoing"? |
Here's the problem:
A group of 8 adults and 2 children needs to cross a river. They have a small boat that can hold either 1 adult, 1 child, or 2 children.

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