how do you position a group of numbers that include decimals, fractions and integers on a number...

How do you position a group of numbers that include decimals,

fractions and integers on a number line?

In this lesson you will learn about locating positive rational

numbers by using a number line.

Let’s Review

9.25 9 9.2

9.259.9.2

00

09 9.2 9.25

Let’s Review

4.7 =

= 8.75

A Common Mistake

Not realizing that fractions and decimals describe the same point on

a line

Core Lesson

3 Strategies to Position on a number line

Core Lesson

Change to Decimals

4.3, 4.2, 4.8, 4.75

Core Lesson

4.2, 4.3, 4.75, 4.8

4.3, 4.2, 4.8, 4.75

l l l l l l l l l l l4 54.2

4.3

4.8

4.75

Core Lesson

Change to Fractions

Core Lesson

l l l l l l l l l l l4 5

Core Lesson

Just position on the number line without changing

Core Lesson

l l l l l l l l l l l4 54.3 4.8

Core Lesson

l

l

l

l

l

l

l

l

l

l

4

5

4.3

4.8

Core Lesson

8 98.7

8.95

Core Lesson

8

9

8.7

8.95

In this lesson you have learned about locating positive rational

numbers by using a number line.

Guided Practice

l l l l l l l l l l l2 32.35 2.6

2 1/4

2 4/5

Guided Practice

l l l l l l l l l l l3 43 2/5

3.53 1/10

3.8

Extension Activities

Make a large number line from 0 to 10. Leave a lot of room between numbers.

Write down fractions and decimals between 0 and 10. Locate the numbers on the number line.

If working with a group, make a number line large enough to walk on. Have the group arrange themselves correctly on the number line.

Extension Activities

Take a number line and put some marks on it. Challenge your partner to come up with a decimal number for the point while you come up with a fraction. Take turns trading off who does the decimal and who does the fraction.

Extension Activities

Make at least 20 cards with either a fraction or decimal on it. Divide the cards between you and your partner. Each of you turn over a card at the same time. Whoever has has the higher card takes both cards. Play continues until one person has all the cards.

To make it harder, limit the value of the cards, i.e. all numbers must be between 3 and 5.

Quick Quiz

Quick Quiz

l l l l l l l l l l l9 10