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How do you compare fractions with different numerators and denominators to a benchmark fraction by using number lines?. For example: . 1 . 3. 1. 3 . 2.

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Presentation Transcript
How do you compare fractions with different numerators and denominators to a benchmark fraction by using number lines?

For example:

1 .3

1

3 .

2

In this lesson, you will learn how to compare fractions with different numerators and denominators to the benchmark fraction of 1 by using number lines.
Let’s Review

Any fraction with the same numerator and denominator is equal to 1.

Let’s Review

3 .3

3.3

2 .3

1 .3

0

1

8.8

Let’s Review

Any fraction with a numerator larger than the denominator is greater than 1.

Let’s Review

2 .2

3 .2

2

1 .2

3 .2

0

1

9 .8

Let’s Review

There are 3 signs needed to compare fractions.

Let’s Review

<

=

>

Core Lesson

9.8

9 .8

7 .8

12 .8

15 .8

10 .8

11 .8

4 .8

5 .8

14 .8

13 .8

6 .8

3 .8

2 .8

1 .8

0 1 2

1

0 1 2

9.8

1

>

Core Lesson

to the benchmark fraction 1 ?

How could you use number lines to compare the fractions

and

1 .3

3 .2

1.3

4.3

5.3

2.3

1.3

0 1 2

1

0 1 2

3.

2

3.2

1.2

0 1 2

1.3

3.

2

1

<

<

In this lesson, you learned how to compare fractions with different numerators and denominators to the benchmark fraction 1 by using number lines.
Guided Practice

Use the number lines below to compare the fractions.

Let’s Review

9.6

1

5.12

Extension Activity

Let’s Review

Use number lines to order the fractions from smallest to largest.

5.5

8.6

2.7

Extension Activity

Let’s Review

What would be another way to compare fractions, other than using number lines?

Extension Activity

Let’s Review

Ordering Fractions

Each student needs a set of fraction bars to help them during the game.

The teacher begins by writing 12 fractions on large index cards (1 fraction per card), and telling students it is there job to put the fractions in order from least to greatest. Write a number line on the board for students to see.

Show the cards one at a time to the students, while asking them where it belongs on the line. When the students answer correctly, place the card in the appropriate place on the board.

Extension Activity

Let’s Review

Draw a stack of 5 number lines on your paper. Each number line should have the points 0 and 2 on it. On the top number line, figure out where 1 is. On the next one, chart 1/2. On the third line, find 1/4. What do you notice about the pattern? Now find 3/2 and put it on the fourth line. Place 5/4 on the fifth line. How does the last two lines compare to the others?

2

2

2

2

2

Quick Quiz

Let’s Review

Use number lines to find the fraction less than 1.

9.6

A.

0 1

0 1

10 .9

0 1

0 1

B.

3 .4

C.

13 .10

D.

Quick Quiz

Let’s Review

Use number lines to find the fraction greater than 1.

2 .16

A.

0 1

0 1

1 .4

0 1

0 1

B.

3 .3

C.

10 .8

D.