Comparing Fractions and Whole Numbers

This video tutorial for Grade 3, Module 5, Lesson 18, focuses on comparing fractions and whole numbers on a number line by reasoning about their distance from zero. It explains how to graph fractions, compare them, and apply these concepts to real-world problems, such as comparing string lengths. The lesson also covers advanced fraction comparisons, including those greater than one, and arranging items by length using fractions.

What is the main focus of this lesson?

• Adding fractions

• Multiplying fractions

• Comparing fractions and whole numbers on a number line

• Subtracting whole numbers

On a number line, which number is larger: 2 or 3?

• 2

• 3

• Cannot be determined

• They are equal

Why is 7/4 greater than 3/4 on a number line?

• Because 7/4 is closer to 1

• Because 4 is a larger denominator than 3

• Because the distance from 0 to 7/4 is longer than from 0 to 3/4

• Because 7 is a larger number than 3

Where would 1/3 be placed on a number line divided into thirds?

• At the start

• At the first division

• At the end

• At the second division

Which fraction is larger: 1/4 or 1/8?

• 1/4

• 1/8

• They are equal

• Cannot be determined

How do you know 5/3 is greater than 8/6?

• 5/3 is further down the number line than 8/6

• 8/6 is further down the number line than 5/3

• 8/6 is closer to 0

• 5/3 is closer to 0

Whose string is longer: Liz's 4/6 or Jay's 5/7?

• Cannot be determined

• Liz's string

• Jay's string

• They are the same length

Which piece of yarn is the shortest: 5/6, 5/3, or 3/2?

• They are all the same length

• 3/2

• 5/3

• 5/6

What is the relationship between 5/6 and 5/3?

• 5/6 is greater than 5/3

• Cannot be determined

• 5/6 is equal to 5/3

• 5/6 is less than 5/3

Which fraction is larger: 3/2 or 5/3?

• They are equal

• Cannot be determined

• 5/3

• 3/2