Estimating Reasonableness of Fraction Word Problems using Benchmark Fractions

This video tutorial teaches how to estimate the reasonableness of answers to fraction word problems using benchmark fractions. It introduces benchmark fractions like 1/4, 1/2, and 3/4, and explains the concept of reasonableness with logical examples. The tutorial includes a practical problem where Emmitt needs to jog a certain distance, and demonstrates how to calculate and estimate the total distance using fractions. The video concludes by comparing the calculated and estimated answers to ensure they are reasonable, reinforcing the learning objectives.

What are benchmark fractions used for?

• To measure distances

• To assist in rounding and estimating

• To calculate exact values

• To solve algebraic equations

In the problem involving Emmitt, what is the total distance he plans to jog?

• 1 and 1/2 miles

• 1 and 5/8 miles

• 1 and 7/8 miles

• 2 miles

Which property is used to make common denominators in the calculation?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

What is the estimated total distance Emmitt jogs using benchmark fractions?

• 1 and 1/2 miles

• 1 and 5/8 miles

• 1 and 7/8 miles

• 2 miles

Why is it important to compare the calculated answer with the estimate?

• To check for calculation errors

• To find the average of the two

• To verify the reasonableness of the answer

• To ensure the answer is exact