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Published byAnnette Stetson Modified over 2 years ago

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How do you position a group of numbers that include decimals, fractions and integers on a number line?

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In this lesson you will learn about locating positive rational numbers by using a number line.

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Let’s Review 9.25 9 9.2 9.25 9. 9.2 00 0 9 9.2 9.25

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Let’s Review 4.7 = = 8.75

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A Common Mistake Not realizing that fractions and decimals describe the same point on a line

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Core Lesson 3 Strategies to Position on a number line

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Change to Decimals 4.3, 4.2, 4.8, 4.75

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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 l 4 5 4.2 4.3 4.8 4.75

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Core Lesson Change to Fractions

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l l l l l l l l l l l 4 5

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Core Lesson Just position on the number line without changing

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l l l l l l l l l l l 4 5 4.3 4.8

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Core Lesson l l l l l 45 4.3 4.8

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Core Lesson 89 8.7 8.95

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Core Lesson 8 9 8.7 8.95

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In this lesson you have learned about locating positive rational numbers by using a number line.

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Guided Practice l l l l l l l l l l l 2 3 2.35 2.6 2 1/4 2 4/5

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Guided Practice l l l l l l l l l l l 3 4 3 2/5 3.53 1/10 3.8

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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.

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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.

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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.

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Quick Quiz

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l l l l l l l l l l l 9 10

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