Answer Key Lesson 10: Add Fractions

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1 nswer Key Lesson 0: dd Fractions Student uide dd Fractions (S pp. 99) Questions.. ossible response:.. Use fraction circle pieces to model the problem.. Is Kathy s estimate correct Explain your reasoning. C. Exactly how much pizza is left over Show or tell how you found your answer. D. Write a number sentence that shows how you solved the problem. Kathy models the problem with circle pieces this way: izza # izza # Now let s solve the problem, said Kathy. Romesh and Kathy both show a different way to solve the problem. Romesh s way Kathy s way I trade the pink piece for blue pieces so all the pieces are the same color. I just look at what s missing from the whole. We need one more blue piece to make a unit whole.. es. pink is half a box, blue is less than half; together they will fit in one box. C. pizza; ossible explanation: One more piece would make a whole pizza. D. Number sentences will vary. ossible responses: ; ;.. nswers will vary. The methods are alike in that they both reach the same answer. Romesh exchanged pieces so he would have all one color and then added. Kathy reasoned using benchmarks such as and. The whole pizza is eighths. One piece is missing, so remains.. nswers will vary...* Let s put all the pieces together like we did with the pieces of pizza, said Romesh. Now the model looks like this. Eight blue pieces cover the whole unit, so each blue piece is of the whole. There are seven pieces, so we have of a pizza. The number sentence is: If we have less than a whole, that makes. dd Fractions 90 S rade Unit Lesson 0 Student uide - age 90.. How are Romesh s and Kathy s methods the same How are they different. How do Romesh s and Kathy s strategies compare to yours Kathy s Cookie. Kathy shared another large chocolate chip cookie. She cut the cookie into sixths. She gave Rosa of the cookie and ate herself. Kathy wants to know how much of the cookie they ate altogether.. Use fraction circle pieces to model the problem.. How much of the cookie did they eat altogether Show how you solved the problem. C. Write a number sentence that matches your solution. D. Was your strategy more like Romesh s solution or Kathy s solution to Question Romesh and Kathy model the cookie problem with circle pieces this way:. ; ossible responses: I added and. Or, I saw that one one of the six pieces was missing, so I subtracted,. C. or D. nswers will vary; Romesh used addition and Kathy used subtraction. Kathy Kathy ss pieces Rosa s Rosa s pieces Rosa Rosa s s way + nu mber of parts parts to to add. The The numerators nu merators tell tell the number a dd. The The type of parts, parts, such such as as sixths. denominators deno minators tell tell the type sixths. I together to to find fin d the sum. su m. add a dd the numerators nu merators together dd Fractions S rade Unit Lesson 0 9 Student uide - age 9 *nswers and/or discussion are included in the lesson. T rade Unit Lesson 0 nswer Key

2 nswer Key Lesson 0: dd Fractions Romesh and Kathy both show a way to solve the cookie problem. Romesh s way Kathy s way Since all the pieces are the same color, I just add them all up. qua pieces are of the whole circle, so I can write this number sentence: I looked at the piece that was missing from the whole unit. It s the same size as an aqua piece. That means there is one-sixth less than a whole, or.. nswers will vary...* 9. Whose method makes more sense to you, Romesh s or Kathy s Explain why you think so. Kathy s Cake. Kathy s family made a cake. fter dinner, Kathy and her family ate of the cake. Later in the evening, they ate another of the cake. Kathy wants to know how much of the cake they ate in all.. Use fraction circle pieces to model the problem.. How much of the cake did they eat Show how you solved the problem. C. Write a number sentence that matches your solution. S rade Unit Lesson 0 Student uide - age 9 dd Fractions. ; Explanations will vary; see discussion and diagrams in the Student uide. C. Number sentences will vary. ossible responses: ;.. nswers will vary. Each problem involves adding fractions; each can be solved in more than one way; all three are solved using fraction circle pieces.. Each problem involves different fraction pieces; problems and involve fractions with different denominators; problem involves fractions with the same denominator. C. Questions and ; he trades so he can add like pieces. D. Question ; the pieces are already the same (sixths) so he can add the sixths. Julia s way I solve + another way. It s easier to add d when all the pieces are the same color or when the denominators are the same. To find the same denominator, I replace the pieces with all l the same color. Then I can add d fractions with the same denominators. Julia Julia finds equivalent fractions with common denominators. Can I as fourths No To solve find and + d d, I a. + Can I as sixths Julia es Can I as sixths No Can I both and as twelfths es es. Discuss with a partner how the problems in Questions,, and compare to each other.. What is the same about each problem. What is different about each problem C. In which problem(s) does Romesh trade fraction pieces to get one color Why does he have to trade them D. In which problem(s) does Romesh not have to trade any pieces Why not Use fraction circle pieces to solve the problems on the Find Fraction Sums pages in the Student ctivity ook. 9 S rade Unit Lesson 0 dd Fractions Student uide - age 9 *nswers and/or discussion are included in the lesson. T rade Unit Lesson 0 nswer Key

3 nswer Key Lesson 0: dd Fractions.. Less than mile. mile. of his allowance Closer to whole acre. 9 0 acre; nswers may vary. student can trade each third (orange) for two sixths (aqua) and trade the half (pink) for sixths., or. qua C. Traded for sixths (aqua) rather than twelfths (black) which uses fewer fraction pieces.. or Use fraction circle pieces or another method to solve the problems in Questions 0.. Jackie rides her bicycle of a mile from home to the park. She rides another of a mile to the grocery store.. Is the distance more or less than mile. How far does she ride in all. Luis spent of his weekly allowance going to the movies. He spent another of it on a birthday present for his dad. How much of his total allowance did he spend 9. When playing Fraction Fill, the circles look like this: halves fourths eighths. Shannon spins a on the spinner. She adds the entire to the fourths circle. How much of the circle will be covered. Jacob spins a. He adds the entire to the eighths circle. How much of the circle will be covered 0. Mrs. Macintosh starts an apple orchard on her land by planting apple trees covering 0 of an acre. In the next two years she plants trees on 0 of an acre and then 0 of an acre.. Has she planted closer to acre or whole acre. How large is her orchard after the third year dd Fractions S rade Unit Lesson 0 9 Student uide - age 9 Fraction Sums reater Than One To make lemon-lime punch, Romesh mixes of a gallon of lemonade, of a gallon of ginger ale, and of a gallon of lemon-lime soda. To find out how much punch he has, he writes the sum and shows it with fraction circle pieces. Romesh solves the problem this way:.. Use circle pieces to solve the problem a different way from Romesh s way. Write your answer both as a fraction and as a mixed number.. What color pieces did you use to solve the problem C. How is your method different from Romesh s. Julia notices that the denominators in,, and are all factors of. That is why Romesh could replace all the pieces with black pieces. Then she notices that the denominators are also factors of. Solve + + using equivalent fractions with as the fractions denominators. Include a number sentence. 9 S rade Unit Lesson 0 Student uide - age 9 I replace all the circle pieces with black pieces. I count all the black pieces. Since there are of them total, the answer is of a gallon. I can show my answer as a mixed number too. I put black pieces together to make a unit whole. There are black pieces left over. The answer is of a gallon. dd Fractions T rade Unit Lesson 0 nswer Key

4 nswer Key Lesson 0: dd Fractions Use fraction circle pieces to solve the problems on the Find Fraction Sums pages in the Student ctivity ook. Check-In: Questions Use circle pieces or another method to solve the problems. Include number sentences.. Linda sprints for of a lap around the track, jogs for of a lap, and walks for of a lap. How many total laps does Linda complete. Frank writes these directions for Jacob to get to his house: o of a mile on Elm Street to Oak Street. Take a right on Oak Street and go 0 of a mile to Maple venue. Take a left on Maple venue and go of a mile to my house.. laps. 9 0 mile. inches or inches. Number sentences will vary. Two possible solutions are given for each problem.. etween and ;,. Close to ;, C. More than ; or, or D. More than ; 9 or, How far is it from Jacob s house to Frank s house. Jessie uses a rain gauge to measure rainfall in her yard for days. She recorded data in the table. How much rain fell during the days 9 or E.* More than ; 9 or, 9 or or F.* More than ; or, or. ; 9 or. 0 or dd Fractions S rade Unit Lesson 0 9. or or Student uide - age 9. For each problem below: Use benchmarks of 0,, and to estimate the sum. Use fraction circle pieces or another method to find an exact answer. Write a number sentence to represent your solution.. D.. E. C. F.. Use Julia s method to solve Question E.. Jerome measures a stack of three tiles to be of an inch tall. If he stacked 0 tiles on top of each other, how tall would the stack be _ inch. Use Julia s method of finding equivalent fractions with common denominators to solve. Include a number sentence. 9 S rade Unit Lesson 0 dd Fractions Student uide - age 9 T rade Unit Lesson 0 nswer Key

5 nswer Key Lesson 0: dd Fractions Homework (S p. 99) Questions. nswers for Question may vary. One possible answer is given for each.. 0. C. D.. Find equivalent fractions... C. D. E. F.. H. 0 I. J. Show or tell how you solved Question D.. Find equivalent fractions C. E. F H. 0 0 I. 9 J. ossible response: I multiplied the numerator and the denominator by the same number C. D. 0 E. 0 F ossible response:.. true. true D. E. F Find another fraction equivalent to those in Question F.. Tell if the number sentences are true or false. If it is false, make it true... 0 D. 0 0 F. 9 C. E.. 9 H. 9 I. Show or tell how you knew the answer to Question.. Write a word problem that adds two fractions and solve it. The denominators can be like or unlike. dd Fractions S rade Unit Lesson 0 99 Student uide - age 99 C. false; D. true E. false; 0 or F. true. true H. false; I. ossible response: I knew. I multiplied by to get. 9 so the number sentence is true.. Word problems will vary. Sample problem: Jessie had a bag of mixed candy. of the candy was peppermint, of the candy was gumdrops, and of the candy was butterscotch. The rest of the bag was chocolate. How much of the bag was not chocolate Solution: 9 or T rade Unit Lesson 0 nswer Key

6 nswer Key Lesson 0: dd Fractions dd Fractions S rade Unit Lesson 0 9 Find Fraction Sums Fraction sums are shown with fraction circles in the first column of the chart below. Use fraction circle pieces to show the problem. Find the sum using pieces of only one color. Draw a picture to show how you solved it in the second column. Write the color you used in the blank. Write two number sentences for the sum in the third column. The first row is an example. Fraction Sum Example.... Using One Color lack Student ctivity ook - age 9 Number Sentences + + Student ctivity ook Find Fraction Sums (S pp. 99) Questions. blue; ;. aqua; ;. aqua; ;. black; 0 ; 0 Note: students may see that is the same as and then reason that they can trade for sixths (orange pieces). This is a correct solution, even though it does not comply with our rule that trades only be made when the new pieces cover the individual pieces exactly.. purple; 0 0 ; black; ;. black; 9 ; 9. black; ; 9. black; ; 0. black; or ; or ; or.. Fraction Sum Using One Color Number Sentences Julia solved Question this way. If I can as sixths, they will be easier to add. Julia. Use Julia s way to solve Question.. Use Julia s way to help Romesh solve Question 9. Can I NO NO them as sixths No. Fourths No. Twelfths es! Romesh dd Fractions S rade Unit Lesson S rade Unit Lesson 0 dd Fractions Student ctivity ook - age 9 Student ctivity ook - age 9 T rade Unit Lesson 0 nswer Key

7 nswer Key Lesson 0: dd Fractions Find Fraction Sums (S pp. 990) Questions. aqua; ; ;. black; 9 ; 9 9 ; 9. blue; ; ;. aqua; 0 ; 0 ; 0. Find Fraction Sums Fraction sums are shown with fraction circles in the first column of the chart below. Use fraction circle pieces to show the problem. Find the sum using pieces of only one color. Draw a picture to show how you solved it and write two number sentences for the sum in the second column. Show and write the sum as a mixed number in the third column. The first row is an example. Example Fraction Sum Using One Color Shown s Mixed Number urple urple... 9 or C dd Fractions S rade Unit Lesson 0 99 Student ctivity ook - age 99 Fraction Sum Using One Color Shown s Mixed Number Julia solved 0 this way:. If I can e as 0 tenths, they will be add. easier to d Julia.. 00 S rade Unit Lesson 0 Student ctivity ook - age 00 dd Fractions. Solve Question Julia s way. Find equivalent fractions with common denominators.. Use Julia s way to solve the problems.. Number sentence:. Number sentence: C. 0 Number sentence: dd Fractions S rade Unit Lesson 0 0 Student ctivity ook - age 0 Or Or k T rade Unit Lesson 0 nswer Key

8 nswer Key Lesson 0: dd Fractions Fraction roblems Fraction roblems (S pp. 00) Homework Questions. Find the missing numerator or denominator... C. D. 9 E. F.. Explain how you solved Question F.. Change the improper fractions to mixed numbers. Then use the code to find the mystery word. Code The mystery word is. dd Fractions S rade Unit Lesson C. D. 9 E. F. 9. ossible response: I found an equivalent fraction for by dividing both the numerator and the denominator in half. I got. Then I found an equivalent fraction for with a denominator of by multiplying the numerator by. I got Improper Fraction Mixed Number Letter R T Student ctivity ook - age or or 0. Levi Solve the problems about Mr. Moreno s classroom party.. Carla ate of her bag of popcorn and Levi ate 0 of his bag of popcorn.. How much popcorn did they eat altogether Write a number sentence.. Who ate more popcorn. Mr. Moreno ordered a jumbo pizza for the classroom party. 9 of the pizza had green peppers, of the pizza had mushrooms, and of the pizza had pepperoni. How much of the pizza had vegetables on it Write a number sentence.. There was a large submarine sandwich at the party, too. Miguel ate of the sandwich, Emily ate of the sandwich, and Roberto ate of the sandwich.. How much of the sandwich did they eat altogether Write a number sentence.. Who ate the largest portion of the sandwich C. Show or tell how you solved Question or or or or. Emily C. ossible response: I know and I know, so since Emily ate of the sandwich, she ate the most. 0 S rade Unit Lesson 0 dd Fractions Student ctivity ook - age 0 T rade Unit Lesson 0 nswer Key