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1 Name Customary Units of Length Essential Question How can you use models to compare customary units of length? Lesson 2.2 Measurement and Data 4.MD.A. Also 4.MD.A.2 MATHEMATICAL PRACTICES MP, MP2, MP5 Unlock the Problem You can use a ruler to measure length. A ruler that is foot long shows 2 inches in foot. A ruler that is feet long is called a yardstick. There are feet in yard. How does the size of a foot compare to the size of an inch? Activity Materials -inch grid paper scissors tape STEP Cut out the paper inch tiles. Label each tile. STEP 2 Place 2 tiles end-to-end to build foot. Tape the tiles together. foot STEP Compare the size of foot to the size of. foot So, foot is _ times as long as. Math Talk Think: You need 2 inches to make foot. MATHEMATICAL PRACTICES 2 Use Reasoning Explain how you know the number of inches you need to make a yard. Chapter 2 647
2 Example Compare measures. Emma has 4 feet of thread. She needs 50 inches of thread to make some bracelets. How can she determine if she has enough thread to make the bracelets? Since foot is 2 times as long as, you can write feet as inches by multiplying the number of feet by 2. STEP Make a table that relates feet and inches. Feet Inches Think: foot 2 = 2 inches 2 feet 2 = feet _ = 4 feet _ = 5 feet _ = STEP 2 Compare 4 feet and 50 inches. 4 feet 50 inches Think: Write each measure in inches and compare using <, >, or =. Emma has 4 feet of thread. She needs 50 inches of thread. 4 feet is _ than 50 inches. So, Emma enough thread to make the bracelets. What if Emma had 5 feet of thread? Would she have enough thread to make the bracelets? Explain. Math Talk MATHEMATICAL PRACTICES 2 Represent a Problem Explain how making a table helped you solve the problem. 648
3 Name Share and Show MATH BOARD. Compare the size of a yard to the size of a foot. Use a model to help. yard Customary Units of Length foot (ft) = 2 inches (in.) yard (yd) = feet yard (yd) = 6 inches Complete feet = _ inches. yards = _ feet 4. 7 yards = _ feet On Your Own Complete. yard is _ times as long as _ foot. Math Talk MATHEMATICAL PRACTICES 4 Interpret a Result If you measured the length of your classroom in yards and then in feet, which unit would have a greater number of units? Explain yards = _ feet 6. 0 yards = _ feet 7. 7 feet = _ inches MATHEMATICAL PRACTICE 4 Use Symbols Algebra Compare using <, >, or =. 8. foot inches 9. 2 yards 6 feet 0. 6 feet 60 inches. SMARTER Joanna has yards of fabric. She needs 00 inches of fabric to make curtains. Does she have enough fabric to make curtains? Explain. Make a table to help. Yards Inches 2. SMARTER Select the measures that are equal. Mark all that apply. A 4 feet C 6 feet E 5 feet B 2 yards D 480 inches F 42 inches 2 Chapter 2 Lesson 2 649
4 MATHEMATICAL PRACTICES COMMUNICA E CONSTRUCT ARGUMENTS. DEEPER Jasmine and Luke used fraction strips to compare the size of a foot to the size of an inch using fractions. They drew models to show their answers. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning. Jasmine s Work Luke s Work is 2 of a foot. is _ of a foot. WRITE Math Show Your Work a. MATHEMATICAL PRACTICE Apply For the answer that is nonsense, write an answer that makes sense. b. Look back at Luke s model. Which two units could you compare using his model? Explain. 650
5 Name Customary Units of Length Complete. Practice and Homework Lesson 2.2 Common Core Standard 4.MD.A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.. feet = _ 6 inches Think: foot = 2 inches, so feet = = 2 inches, or 6 inches 2. 2 yards = _ feet. 8 feet = _ inches 4. 7 yards = _ feet 5. 4 feet = _ inches 6. 5 yards = _ feet 7. 0 feet = _ inches Compare using <, >, or =. 8. yards 0 feet 9. 5 feet 60 inches 0. 8 yards 20 feet Problem Solving. Carla has two lengths of ribbon. One ribbon is 2 feet long. The other ribbon is 0 inches long. Which length of ribbon is longer? Explain. 2. A football player gained 2 yards on one play. On the next play, he gained 5 feet. Was his gain greater on the first play or the second play? Explain.. WRITE Math Write a problem that can be solved by comparing feet and inches using a model. Include a solution. Explain why you are changing from a larger unit to a smaller unit. Chapter 2 65
6 Lesson Check (4.MD.A.). Marta has 4 feet of wire to use to make necklaces. She needs to know the length in inches so she can determine how many necklaces to make. How many inches of wire does Marta have? 2. Jarod bought 8 yards of ribbon. He needs 200 inches to use to make curtains. How many inches of ribbon does he have? Spiral Review (4.NF.C.6, 4.MD.A., 4.MD.A.2, 4.MD.C.5a). Describe the turn shown below. (Be sure to include both the size and direction of the turn in your answer.) 4. What decimal represents the shaded part of the model below? 5. Three sisters shared $.60 equally. How much did each sister get? Which is the best estimate for the width of your index finger? FOR MORE PRACTICE GO TO THE Personal Math Trainer
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Name Factors and Divisibility Essential Question How can you tell whether one number is a factor of another number? Unlock the Problem Lesson 5.2 Operations and Algebraic Thinking 4.OA.B.4 MATHEMATICAL
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12 inches 4 feet = 48 inches
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