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Math 5 Fractions as Division

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Math 5Fractions as Division

Instructor: Mrs. Tew Turner

In this lesson we will learn about the relationship between fractions and the process of division.

Do this problem mentally. Don’t write anything down but the answer.

Begin with 79.

Add 21.

Subtract 96.

Divide by 2.

Math Warm-up

Pause to work

Do this problem mentally. Don’t write anything down but the answer.

Begin with 79.

Add 21.

Subtract 96.

Divide by 2.

Math Warm-up - ANSWER

Answer: 2

In this lesson we will answer the question:

How can fractions be used to show division?

Vocabulary

fraction – a symbol, such as ¾, used to describe one or more parts of a whole that is divided into equal parts. A fraction can name a part of a whole, a part of a set, a location on a number line, or a division of whole numbers.

Vocabulary

numerator - the number above the fraction bar in a fraction

denominator - the number below the fraction bar in a fraction

numerator

1

2

denominator

Vocabulary Review

dividend- the number to be divided.

24 ÷ 4 = 6

divisor- the number that a dividend is divided by.

24 ÷ 4 = 6

Vocabulary Review

quotient - the number that is the result of dividing.

24 ÷ 4 = 6

6 is the QUOTIENT!

Connecting to Previous Learning

Fractions represent equal parts of a whole.

Connecting to Previous Learning

This whole is broken into four equal parts. The denominator shows that the whole is in four equal parts.

Connecting to Previous Learning

The numerator shows how many of the equal parts one has.

Al, Lisa, Nico, and Laura are making a picture. They will share 3 rectangular strips of colored paper. What fraction represents the part of a whole strip of paper each will get?

Find 3 ÷ 4

1 whole

1 whole

1 whole

One way to divide 3 wholes into 4 equal parts is to first divide each whole into 4 equal parts. Each part is ¼ of a whole.

Find 3 ÷ 4

1 whole

1 whole

1 whole

Rearrange the quarter pieces so that each person gets 3 of the ¼ pieces. Each gets ¾.

Al

Nico

Lisa

Laura

The teacher gives 7 packs of paper to a group of 4 students. If they share the paper equally, how much paper does each student get?

Each student receives 1 whole pack of paper and 1⁄4 of the each of the 3 packs of paper. So each student gets 1 3⁄4 packs of paper.

Get your notebook

and pencil ready.

Make sure you have the Lesson # and date on your page.

In your Math Notebook

Independent Practice

If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get?

In your Math Notebook

Independent Practice

If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get?

Lesson Review

Fractions are also a representation of division. The numerator is the dividend and the denominator is the divisor.

Use models to help you represent fractions as division.

In your Math Notebook

Ten team members are sharing 3 boxes of cookies. How much of a box will each student get?

Quick Check

Ten team members are sharing 3 boxes of cookies. How much of a box will each student get?

Quick Check - ANSWER

Each person would get 3/10 of a box.

Good Work with this lesson.

Today you learned about the relationship between fractions and division.