Using Estimation to Determine if Your Answer Makes Sense

This lesson teaches how to use estimation to determine if answers are reasonable. It emphasizes the importance of units in verifying answers and highlights common mistakes, such as blindly trusting calculator results. A structured problem-solving approach is outlined, including reading the problem, planning, estimating, and checking results. Examples include converting inches to feet and calculating race pace, demonstrating how estimation aids in avoiding errors and saving time.

Why is it important to consider units when checking if an answer is reasonable?

• Units are not important in estimation.

• Units can be ignored if the calculator gives a result.

• Units help verify the context of the answer.

• Units only matter in scientific calculations.

What is the first step in a good problem-solving approach?

• Develop a plan for solving.

• Check the result.

• Read and understand the situation.

• Estimate the answer.

When estimating the conversion of 102 inches to feet, what approximate value is used for 12 inches?

• 20

• 5

• 15

• 10

What is the estimated conversion of 102 inches to feet?

• 10 feet

• 8 feet

• 9 feet

• 11 feet

In the 5K race example, what is the estimated number of miles for 5 kilometers?

• 2 miles

• 3 miles

• 4 miles

• 5 miles

How is the decimal part of the pace converted to seconds in the 5K race example?

• By dividing by 60

• By adding 60

• By multiplying by 60

• By subtracting 60

What is the final calculated pace per mile for Sophia's 5K race?

• 7 minutes and 45 seconds

• 7 minutes and 30 seconds

• 8 minutes

• 8 minutes and 15 seconds