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IM 8.8.10 Lesson: Applications of the Pythagorean Theorem

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Which estimate is closest to the actual value of the expression?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

 Explain your reasoning.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

 Explain your reasoning.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

 Explain your reasoning.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

 Explain your reasoning.

Mai and Tyler were standing at one corner of a large rectangular field and decided to race to the opposite corner. Since Mai had a bike and Tyler did not, they thought it would be a fairer race if Mai rode along the sidewalk that surrounds the field while Tyler ran the shorter distance directly across the field. The field is 100 meters long and 80 meters wide. Tyler can run at around 5 meters per second, and Mai can ride her bike at around 7.5 meters per second. Before making any calculations, who do you think will win? By how much? Explain your thinking.

Who wins? Show your reasoning.

A calculator may be necessary to answer the following questions. Round answers to the nearest hundredth

If you could give the loser of the race a head start, how much time would they need in order for both people to arrive at the same time?

If you could make the winner go slower, how slow would they need to go in order for both people to arrive at the same time?

Here are two rectangular prisms:

Which figure do you think has the longer diagonal? Note that the figures are not drawn to scale.

Calculate the lengths of both diagonals. Which one is actually longer?

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