CHAPTER RESOURCES • Chapter 7 - DMPS Elementary Office ...

1 CHAPTER RESOURCES CHAPTER 7. Canada Photos/Getty Images; (Sawtooth Range. Idaho) Ron and Patty Thomas Photography/E+/Getty Images Add and Subtract fractions Houghton Mifflin Harcourt Publishing Company Cover Image Credits: (Ground Squirrel) Don Johnston/All INCLUDES. School-Home Letter Vocabulary Game Directions Daily Enrichment Activities Reteach Intervention for every lesson CHAPTER 7 Test CHAPTER 7 Performance Task Answer Keys and Individual Record Forms Copyright by Houghton Mifflin Harcourt Publishing Company All rights reserved. No part of the material protected by this copyright may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, broadcasting or by any other information storage and retrieval system, without written permission of the copyright owner unless such copying is expressly permitted by federal copyright law. Only those pages that are specifically enabled by the program and indicated by the presence of the print icon may be printed and reproduced in classroom quantities by individual teachers using the corresponding student's textbook or kit as the major vehicle for regular classroom instruction.

2 Common Core State Standards Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. This product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Officers. HOUGHTON MIFFLIN HARCOURT and the HMH Logo are trademarks and service marks of Houghton Mifflin Harcourt Publishing Company. You shall not display, disparage, dilute or taint Houghton Mifflin Harcourt trademarks and service marks or use any confusingly similar marks, or use Houghton Mifflin Harcourt marks in such a way that would misrepresent the identity of the owner. Any permitted use of Houghton Mifflin Harcourt trademarks and service marks inures to the benefit of Houghton Mifflin Harcourt Publishing Company. All other trademarks, service marks or registered trademarks appearing on Houghton Mifflin Harcourt Publishing Company websites are the trademarks or service marks of their respective owners.

3 Contents CHAPTER 7 School-Home Letter (English) .. 7-1. CHAPTER 7 School-Home Letter (Spanish) .. 7-2. Vocabulary Game .. 7-3. Reteach .. 7-5. Enrich .. 7-6. Reteach .. 7-7. Enrich .. 7-8. Reteach .. 7-9. Enrich .. 7-10. Reteach ..7-11. Enrich .. 7-12. Reteach .. 7-13. Enrich .. 7-14. Reteach .. 7-15. Enrich .. 7-16. Reteach .. 7-17. Enrich .. 7-18. CHAPTER RESOURCES iii Table of Contents Houghton Mifflin Harcourt Publishing Company Reteach .. 7-19. Enrich .. 7-20. Reteach .. 7-21. Enrich .. 7-22. Reteach .. 7-23. Enrich .. 7-24. CHAPTER 7 Test .. 7-25. CHAPTER 7 Performance Task .. 7-31. Answer Keys .. 7-36. Individual Record Forms .. 7-43. CHAPTER RESOURCES iv Table of Contents Houghton Mifflin Harcourt Publishing Company School-Home 7. CHAPTER Letter denominator The number in a fraction that tells how many equal parts are in the whole or in the group fraction A number that names a part Dear Family, of a whole or part of a group mixed number A number During the next few weeks, our math class will be represented by a whole number and learning how to add and subtract fractions and a fraction mixed numbers.

4 First, we will use models to find numerator The number in a fraction that tells how many parts of the whole the sums or the differences. Then we will record or group are being considered equations to match our models. Finally, we will add unit fraction A fraction that has a and subtract without using models. numerator of 1. You can expect to see homework that provides practice adding and subtracting fractions with and without models. Here is a sample of how your child will be taught to add fractions using fraction strips. Add fractions Using Models This is how we will be adding fractions using fraction strips. Tips Model 1__ 1 3__. Renaming as a Mixed 6 6. Number When the numerator 1 3. 6 6 is greater than the STEP 1 STEP 2 denominator, you can rename the sum or the Each section represents Write the number of sixths difference as a mixed 1 sixth. How many sixths as a fraction. number. are there in all? 4 sixths 4 sixths = 4. __ 9 = 8_ + 1_. _. 6 8 8 8. 1. __ + 3.

5 __ = 4. __ = 1 + 1_. 6 6 6 8. =1 1. _. 8. Activity Have your child use measuring cups to practice addition and subtraction of fractions . For example, to model 1_4 + 3_4 , have your child use rice to fill one measuring cup to the 1_4 -cup mark and another measuring cup to the 3_4 -cup mark. Then ask him or her to combine the amounts to find the sum, 4_4 or 1 whole cup. CHAPTER RESOURCES 7-1. Houghton Mifflin Harcourt Publishing Company Carta 7. Cap tulo para la casa denominador El n mero de una fracci n que dice cu ntas partes iguales hay en el todo o en el grupo fracci n Un n mero que nombra una parte de un todo o una parte de un Querida familia, grupo Durante las pr ximas semanas, en la clase de n mero mixto Un n mero representado por un n mero entero y matem ticas estudiaremos la suma y resta de una fracci n fracciones y n meros mixtos. Primero usaremos numerador El n mero de una fracci n modelos para hallar las sumas o las diferencias. que dice cu ntas partes del todo o de un grupo est n siendo consideradas Despu s haremos ecuaciones que se ajusten a nuestros modelos.

6 Finalmente, sumaremos fracci n unitaria Una fracci n cuyo numerador es 1. y restaremos sin usar modelos. Llevar a casa tareas con actividades para practicar la suma y la resta de fracciones con y sin modelos. Este es un ejemplo de la manera como aprenderemos a sumar fracciones usando tiras de fracciones. Sumar fracciones usando modelos Pistas As sumaremos fracciones usando tiras de fracciones. Expresar como un n mero Representa 1__ 1 3__. mixto 6 6. Cuando el numerador es mayor que el denominador, 1 3. 6 6 puedes expresar la suma o la PASO 1 PASO 2 diferencia como un n mero mixto. Cada secci n representa 1 sexto. Escribe el n mero de sextos como Cu ntos sextos hay en total? una fracci n. 9_ = 8_ + 1_. 8 8 8. 4 sextos 4 sextos = 4_ = 1 + _1. 6 8. 1_ + 3_ = 4_ =1 1. _. 6 6 6 8. Actividad Pida a su hijo/a que use tazas de medir para practicar la suma y la resta de fracciones. Por ejemplo, para hacer un modelo de 1_4 1 3_4 , pida a su hijo/a que use arroz para llenar una taza de medir hasta la marca de 1_4 y otra hasta la marca de 3_4.

7 Luego p dale que combine las cantidades para hallar la suma, 4_4 o 1 taza completa. CHAPTER RESOURCES 7-2. Houghton Mifflin Harcourt Publishing Company CHAPTER 7. Vocabulary Game Going Places with words Game Game Bingo Word Box Associative Property of For 3 to 6 players Addition Commutative Materials Property of 1 set of word cards Addition 1 Bingo board for each player denominator game markers fraction How to Play mixed number 1. The caller chooses a card and reads the definition. Then the numerator caller puts the card in a second pile. simplest form 2. Players put a marker on the word that matches the definition unit fraction each time they find it on their Bingo boards. 3. Repeat Steps 1 and 2 until a player marks 5 boxes in a line going down, across, or on a slant and calls Bingo.. 4. Check the answers. Have the player who said Bingo read the words aloud while the caller checks the definitions on the cards in the second pile. Houghton Mifflin Harcourt Publishing Company CHAPTER 07 384A.

8 CHAPTER RESOURCES 7-3 Game Directions Houghton Mifflin Harcourt Publishing Company Lesson Name Reteach Add and Subtract Parts of a Whole Justin has 3_8 pound of cheddar cheese and 2_8 pound of brick cheese. How much cheese does he have in all? Step 1 Use fraction strips to model the problem. Use three 1_8 -strips to represent 3_8 pound of cheddar cheese. Step 2 Join two more 1_8 -strips to represent the amount of brick cheese. Step 3 Count the number of 1_8 -strips. There are five 1_ -strips. Write the amount as a 8. _5. fraction. Justin has 8 pound of cheese. 312. _ _55. _. Step 4 Use the model to write an equation. 8 8 8. Suppose Justin eats 1_8 pound of cheese. How much cheese is left? Step 1 Use five 1_8 -strips to represent the 5_8 pound of cheese. Step 2 Remove one 1_8 -strip to show the amount eaten. Step 3 Count the number of 1_8 -strips left. There are _. 4. four 1_ fraction strips. There is 8 pound left. 8. _5 2 1_ 5 4_. Step 4 Write an equation for the model.

9 8 8 8. Use the model to write an equation. 1. 2. 1 5. 3. 1 5 4. CHAPTER RESOURCES 7-5 Reteach Houghton Mifflin Harcourt Publishing Company Lesson Name Enrich Fraction Fun Solve each problem. 1. Gina ate 1_6 of an apple pie. Greg 2. So far, John has run 1_4 of the way to ate 1_2 of the same pie. How much of school and walked 3_8 of the way. What the apple pie was left? fraction of the distance to school does John have left? 3. Ann, Nan, and Jan snacked on a 4. While watching a movie, Ned, Fred, plate of fruit slices while doing their and Jed shared a bowl of popcorn. Ned homework. Ann ate 1_5 of the fruit ate 1_2 of the popcorn, Fred ate 1_4 of the slices, Nan ate 2_5 of the fruit slices, popcorn, and Jed ate 1_8 of the popcorn. and Jan ate 1_5 of the fruit slices. What fraction of the bowl of popcorn What fraction of the fruit slices are is left? left on the plate? 5. In a grid of squares, Alice colored 3_4 6. Pierre bounced a ball for 1_3 of his recess of the squares blue.

10 She colored time. He threw the ball in the air and _ of the squares red. She colored 1. caught it 3_6 of the time. He carried the ball 8. the rest of the squares yellow. What the rest of the time. For what fraction of fraction of the squares did Alice his recess time did he carry the ball? color yellow? 7. How did you solve Problem 6? Explain. CHAPTER RESOURCES 7-6 Enrich Houghton Mifflin Harcourt Publishing Company Lesson Name Reteach Write fractions as Sums A unit fraction tells the part of the whole that 1 piece represents. A unit fraction always has a numerator of 1. Bryan has __4. 10 pound of clay for making clay figures. He wants to use __. 1. 10 pound of clay for each figure. How many clay figures can he make? Use fraction strips to write __. 4. 10 as a sum of unit fractions . Step 1 Represent __. 4. 10 with fraction strips. Step 2 Each __1 __. 1. 10 is a unit fraction. Write a 10 addend for each 10 -strip you used to show __. __. 1 4. 10 . 1 1 __. __ 1 1 __.