Name: ______________________________________ Teacher: _____________ TOPIC 12 STUDY GUIDE Adding and Subtracting Fractions and Mixed Numbers with Like Denominators Study Guide Due: Test Date: Parents, 4th Graders are focusing on giving their best effort. One way to show that they are going above and beyond expectations is to complete ALL of the following suggestions. The only required task to completing the study guide. Please initial any of the assignments your child completed to help him or her prepare for the assessment. Thank you! 4th Grade Teachers HOW I CAN STUDY: Complete this study guide (required) ______ Participate in class and ask questions if you don’t understand Review the notes, work, and content in your Math Notebook, classwork, and Student Textbook pages 285-323. (optional) ________ Complete the Reteaching Review in your Student Workbook(optional) _______ Complete the Study Island Assignment (optional for math teacher) _____ OBJECTIVE: I can use the number line and models to add or subtract fractions with like denominators. (4.NF.B.3a, 4.NF.B.3d ) 12-1,12-3, 12-5 1. 3 8 4 + = _______ 8 2. Luis filled his gallon fish tank before vacation. When he came back, only 5 of the water 8 remained. How much water evaporated? Use a number line to show how you found your answer. 3. Write the equation shown by each number line. Write your answer. Simplify if possible. 4 6 0 4. Which equation is represented on the number line shown? 2 10 A. 6 10 3 5 5 D. 6 10 2 10 − + 10 10 1 = 2 8 = 10 5 B. − C. 2 + 6 10 + 10 10 10 + 3 10 + 4 10 4 = 4 2 10 6 = 10 5. Mrs. Wildschuetz is knitting a scarf. She knit 4 10 Tuesday. What fraction of the scarf has she knit? 2 of the scarf on Monday and 2 10 on 6. On Tuesday 8 of the students wore jeans. What fraction of the class did NOT wear jeans? a. b. c. d. 9 10 3 4 6 16 1 4 OBJECTIVE: I can use computational procedures to add or subtract fractions with like denominators. (4.NF.B.3a, 4.NF.B.3d ) 12-2, 12-4 7. 4 12 + 2 12 8. Edna has + 2 9 1 12 = _______________ foot of purple ribbon and 4 9 foot of yellow ribbon. Which of the following can be used to find how much ribbon she has in all? A. Add 2 + 4 and write the sum over to 9 to get 6 . 9 Simplify B. Add 2 + 4 and write the sum over to 9 + 9 to get C. Add 2 + 4 and write the sum over to 9 – 9 to get D. Add 9 + 9 and write the sum over to 2 + 4 to get 9. A soup recipe calls for 7 8 to 2 . 3 6 1 to . 18 3 6 . Simplify 18 6 . 0 18 18 . Simplify 6 6 cup of chicken broth and chicken broth is needed than cream? 6 9 3 8 to 3. cup of cream. How much more 3 1 10. Cami and Jenna are doing their homework. Cami finished 6 of hers. Jenna has finished 6 of hers. How much more homework has Cami finished than Jenna? 3 1 2 1 A. 6 − 6 = 6 = 3 3 1 2 3 1 4 3 1 B. 6 − 6 = 0 2 C. 6 + 6 = 6 = 3 4 1 D. 6 + 6 = 12 = 3 OBJECTIVE: I can identify and write mixed numbers as improper fractions and improper fractions as mixed numbers. (4.NF.B.3b) 12-6 11. What mixed number does this model show? OBJECTIVE: I can use models to add and subtract mixed numbers. (4.NF.B.3b, 4.NF.B.3c) 12-7 5 2 12. What is the sum of 2 6 + 1 6 ? 1 1 6 1 6 1 6 1 6 1 6 1 1 1 6 1 6 ______________________________________________ 1 3 13. Avi watches a movie that is 2 4 hours long. Jane watches a movie that is 1 4 hours long. How much longer is Avi’s movie? Simplify if possible. OBJECTIVE: I can use models and computational procedures to add mixed numbers. (4.NF.B.3c) 12-8 14. What is the sum of 1 A. 1 B. 1 3 12 5 12 C. 2 2 3 D. 3 2 3 3 + 12 2 5 12 ? 5 15. The Rothmans went on a 300-mile trip. They traveled for 3 hours on the first day and 2 days? 2 6 6 hours the second day. How many hours did they travel during their first two 16. 5 3 8 6 + 1 8 _______ OBJECTIVE: I can use models and computational procedures to subtract mixed numbers. (4.NF.B.3c) 12-9 1 2 17. Kelsey needs 3 4 cups of sugar to make cupcakes. She already has 2 4 cups. How many more cups of sugar does she need? 5 18. Jaxson and Liam are doing their book reports. Jaxson has written 2 8 pages. Liam has written 6 8 of a page less than Jaxson. How many pages has Liam written? OBJECTIVE: I can decompose fractions and represent them as compositions of fractions in a variety of ways. (4.NF.B.3d) 12-10 1 3 4 3 3 19. Janie and Amy were using fraction strips to add. Janie added 5 + 5 + 5 and found the 3 sum to be 1 5. Amy said Janie must be wrong because she added 3 2 5 + 5 + 5 and also found the sum to be 1 5. Is Amy correct in her thinking? Explain. OBJECTIVE: I can draw a picture and write an equation to solve a problem. (4.NF.B.3a, 4.NF.B.3d ) 12-11 7 20. Dena is biking down a 8 mile bike trail. She stops to greet a friend after biking 3 8 of a mile. How much farther does she need to travel? Draw a picture and write an equation to solve. __________________________________________________________________
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