Activity Compare 5_. Lesson 6.6. Compare Fractions Using Benchmarks Essential Question How can you use benchmarks to compare fractions?

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1 Name Compare Fractions Using Benchmarks Essential Question How can you use benchmarks to compare fractions? Lesson. Number and Operations Fractions.NF.A. MATHEMATICAL PRACTICES MP, MP, MP Unlock the Problem David made a popcorn snack. He mixed _ gallon of popcorn with _ gallon of dried apple rings. Did he use more dried apple rings or more popcorn? Activity Compare _ and _. Materials fraction strips Use fraction strips to compare _ model below. and _. Record on the Image Credits: (t) Image Source/Getty Images So, David used more.. Write five fractions equivalent to _. What is the relationship between the numerator and the denominator of fractions equivalent to _?. How many eighths are equivalent to _?. How can you compare _ and _ without using a model? Math Talk MATHEMATICAL PRACTICES Look for Structure How are the number of eighthsize parts in _ related to the number of eighth-size parts you need to make _? Chapter 9

2 Benchmarks A benchmark is a known size or amount that helps you understand a different size or amount. You can use _ as a benchmark to help you compare fractions. Example Use benchmarks to compare fractions. A family hiked the same mountain trail. Evie and her father hiked of the trail before they stopped for lunch. Jill and her mother hiked 9 of the trail before they stopped for lunch. Who hiked farther before lunch? Compare 9 and to the benchmark _. STEP Compare to _. STEP Compare 9 to _. 9 9 Think: Shade. Think: Shade 9. 9 Since is than _ and 9 is than _ So, hiked farther before lunch.. Explain how you can tell a model.. Explain how you can tell a model. is less than _ without using is greater than _ without using, you know that 9. Image Credits: (t) Steve Mason/Getty Images

3 Name Share and Show MATH BOARD. Compare _ and _. Write < or >. Compare. Write < or >..... On Your Own Compare. Write < or >.... Math Talk MATHEMATICAL PRACTICES Compare How do you know _ < _? 9. MATHEMATICAL PRACTICE Reason Quantitatively Algebra Find a numerator that makes the statement true.. <. >. >. <. When two fractions are between and _, how do you know which fraction is greater? Explain.. DEEPER If you know that _ < _ and _ > _,. DEEPER Sandra has ribbons that are what do you know about _ and _? _ yard, _ yard, _ yard, and _ yard long. She needs to use the ribbon longer than _ yard to make a bow. Which length of ribbon could she use for the bow? Chapter Lesson

4 MATHEMATICAL PRACTICES COMMUNICA E CONSTRUCT ARGUMENTS. SMARTER Saundra ran of a mile. Lamar ran _ of a mile. Who ran farther? Explain. WRITE Math Show Your Work. What s the Question? Selena ran farther than Manny. 9. DEEPER Chloe made a small pan of ziti and a small pan of lasagna. She cut the ziti into equal parts and the lasagna into 9 equal parts. Her family ate _ of the lasagna. If her family ate more lasagna than ziti, what fraction of the ziti could have been eaten?. SMARTER James, Ella, and Ryan biked around Eagle Lake. James biked of the distance in an hour. Ella biked _ of the distance in an hour. Ryan biked _ of the distance in an hour. Compare the distances biked by each person by matching the statements to the correct symbol. Each symbol may be used more than once or not at all. _ = < >

5 Name Compare Fractions Using Benchmarks Practice and Homework Lesson. Compare. Write < or >. COMMON CORE STANDARD.NF.A. Extending understanding of fraction equivalence and ordering.. _ <... _ Think: _ is less than _. is more than _. _ Problem Solving. Erika ran _ mile. Maria ran _ mile. Who ran farther?. Carlos finished _ of his art project on Monday. Tyler finished _ of his art project on Monday. Who finished more of his art project on Monday?. WRITE Math Explain a strategy you could use to compare _ and _. Chapter

6 Lesson Check (.NF.A.). What symbol makes the statement true?. Write a fraction, less than, with a demoninator of that is greater than _. Spiral Review (.OA.A.,.OA.B.,.NBT.B.). Abigail is putting tiles on a table top. She needs tiles for each of rows. Each row will have white tiles. The rest of the tiles will be purple. How many purple tiles will she need?. Each school bus going on the field trip holds students and adults. There are filled buses on the field trip. How many people are going on the field trip?. Noah wants to display his collector s flags. He is going to put flags in each row. How many rows of flags will he have in his display?. Julian wrote this number pattern on the board:,,,,,. Which of the numbers in Julian s pattern are composite numbers? FOR MORE PRACTICE GO TO THE Personal Math Trainer