Comparing Fractions with Benchmarks

The video tutorial explains how to compare fractions using benchmarks, which are reference points like 0, 1/2, and 1. It demonstrates the process with examples, comparing fractions such as 1/3 and 8/10, and 4/5 and 3/7, by determining which benchmark they are closest to. The tutorial uses visual models to aid understanding and emphasizes the importance of benchmarks in simplifying fraction comparison.

What is a benchmark in mathematics?

• A complex formula

• A type of fraction

• A mathematical operation

• A reference point like 0, 1/2, or 1

Which fraction is closer to the benchmark 1?

• 4/5

• 8/10

• 3/7

• 1/3

Which benchmark is 1/3 closest to?

• 1

• None of the above

• 1/2

• 0

Is 8/10 closer to 1 or 1/2?

• 1

• 0

• None of the above

• 1/2

Which fraction is larger, 1/3 or 8/10?

• 1/3

• Both are equal

• Cannot be determined

• 8/10

What is the benchmark for 4/5?

• None of the above

• 1

• 1/2

• 0

After modeling, which benchmark is 3/7 closest to?

• 0

• 1/2

• None of the above

• 1

Between 4/5 and 3/7, which is larger?

• Cannot be determined

• Both are equal

• 3/7

• 4/5

Why don't we need a model to determine the benchmark for 4/5?

• Because it's a complex fraction

• Because it's equal to 1/2

• Because it's close to 1

• Because it's a simple fraction