Dividing Whole Numbers by Unit Fractions Using a Number Line

This lesson teaches how to divide whole numbers by unit fractions using a number line. It explains the concept of division as splitting into equal groups and provides examples with pencils and cakes. The lesson demonstrates how dividing by fractions results in more groups than dividing by whole numbers, using visual aids like number lines to illustrate the process.

What does division mean in the context of splitting an amount?

• Multiplying numbers together

• Combining different groups

• Taking an amount and splitting it into equal groups

• Subtracting smaller numbers from a larger one

If you have 6 packs of pencils and each teacher gets 1/2 pack, how many teachers can receive pencils?

• 12 teachers

• 10 teachers

• 8 teachers

• 6 teachers

How many groups of 1/2 are there in 6 whole packs?

• 6 groups

• 3 groups

• 9 groups

• 12 groups

Why does dividing by a fraction result in a larger number of groups?

• Because fractions are larger than whole numbers

• Because you are forming groups smaller than a whole

• Because you are adding more items

• Because fractions are always less than 1

In the cake example, how many people can have cake if each person gets a 1/4 serving?

• 9 people

• 15 people

• 12 people

• 6 people

How many 1/4 servings are there in one whole cake?

• 4 servings

• 3 servings

• 2 servings

• 5 servings

What is the result of dividing 3 cakes into 1/4 size servings?

• 15 servings

• 12 servings

• 6 servings

• 9 servings