# Lesson 6 Relate Fractions to Benchmarks

Let’s compare the size of fractions to

and to 1.

## Warm-up Notice and Wonder: A Point on a Number Line

What do you notice? What do you wonder?

## Activity 1 Greater Than or Less Than 1?

For each diagram:

Name a fraction the point represents.

Is that fraction greater than or less than 1?

How far is it from 1?

## Activity 2 Card Sort: Where Do They Belong?

Sort the cards from your teacher into three groups: less than

Be prepared to explain how you know.

Record your sorting results here after you have discussed them with another group.

less than | equal to | greater than |
---|---|---|

Complete the following sentences after class discussion:

A fraction is less than

when …

A fraction is greater than

when …

A fraction is between

and 1 when …

## Activity 3 Greater Than or Less Than \frac{1}{2}?

For each diagram:

Name a fraction the point represents.

Is that fraction greater than or less than

? How far is it from

?

## Practice Problem

## Problem 1

For each question, explain your reasoning. Use a number line if you find it helpful.

Is

more or less than ? Is

more or less than 1?