1. Modeling Tenths with Fraction Circles
Overview: Students are introduced to the relationship between fractions and decimals.

2. Math Message
Ten preschoolers shared 2 liters of fruit juice equally during morning snack. How much juice did each student get?
Use fraction circle pieces or drawings to help you model and solve the number story.

4. Math Message – Possible Responses

5. Math Message – Possible Responses

6. Math Message Follow – Up Continued
Explain or show with a visual fraction model how liter and liter are equivalent.
Use fraction circle pieces or a number line.
Remember you can multiply or divide to create equivalent fractions.

8. In this lesson, you will explore more equivalent names for numbers – decimal notation for fractions with the denominator 10.

9. How many purples do you need to “cover” the whole red circle?10
What fraction of the circle is one purple?
𝟏 𝟏𝟎
0.1 is another way to write 1 10

10. What fraction of the red circle are two purples?
How many purple fraction pieces do you need to “show 0.2” on the red circle? 2
What fraction of the red circle are two purples?
𝟐 𝟏𝟎

11. State how each decimal is read.
Comparing Tenths - >, =, < Be prepared to justify their conclusions using fraction circle pieces.
State how each decimal is read.
Which is greater? ___ 0.8

12. State how each decimal is read.
Comparing Tenths - >, =, < Be prepared to justify their conclusions using fraction circle pieces.
State how each decimal is read.
Which is greater? ___ 0.9

13. State how each decimal is read.
Comparing Tenths - >, =, < Be prepared to justify their conclusions using fraction circle pieces.
State how each decimal is read.
Which is less? ___ 0.1

14. Complete math journal page 89
Complete math journal page 89. (11 min) Use circle pieces 5ths and 10ths.

15. Summary
Joshua arranged some fraction circle pieces on his desk and said, “One purple is 0.1 of the whole.” Ben arranged other pieces on his desk and stated, “One purple is 0.2 of the whole.” The teacher said, “Fantastic! You’re both correct.” How could both students be correct?
The decimals refer to different wholes.

16. Summary - Continued

17. Summary – Follow-Up Situation
Ben looked at the pieces he and Joshua had arranged. He said, “My pieces show Your pieces show I have more because 0.2 > 0.1.” Do you agree or disagree with Ben? Explain.
I disagree. Comparisons are only valid when decimals refer to the same whole.

18. Exit Ticket Do on your slate.
What is 0.8 as a fraction?
What is as a decimal?