standard_description: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
problem_activity: Task
One day, Frog and Toad were sitting together on a lily pad. Some lily pads were in a line across the pond.
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In the morning, Frog hopped three lily pads away. In the afternoon, he hopped two more away. In the evening, he hopped another two more.
Toad hopped four lily pads away in the morning. He rested in the afternoon and continued three further in the evening. Frog said,
Toad, we ended up at the same place!
Show each of their journeys on a number line, starting at $0$. Use different colors for the morning, afternoon, and evening hops. Write a number sentence that reflects that they ended up at the same place.


aligns: no