Eureka Math. Grade 4, Module 6. Student File_B. Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
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1 A Story of Units Eureka Math Grade, Module 6 Student File_B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, sold, or commercialized, in whole or in part, without written permission from Great Minds. Non-commercial use is licensed pursuant to a Creative Commons Attribution-NonCommercial-ShareAlike.0 license; for more information, go to Great Minds and Eureka Math are registered trademarks of Great Minds. Printed in the U.S.A. This book may be purchased from the publisher at eureka-math.org
2 Sprint and Fluency Packet
3 Lesson 1 Sprint 6 A Divide by Number Correct: = = = = 3. 0 = 25. 1,50 =. 0 = = = = = 2.,20 =. 0 = =. 60 = = 9. = 31.,590 =. 0 = = = 33. 1,200 = = 3. 2,000 = = = = 36. 2,00 = = 3.,000 = = = = 39. 6,900 = = 0. 9,000 = = = = 2. 5,20 = = 3. 6,00 = =.,000 = Lesson 1: Use metric measurement to model the decomposition of one whole into tenths. 1 G-M6-SaFP
4 Lesson 1 Sprint 6 B Divide by Number Correct: Improvement: 1. = = = 2. 0 = = 25. 1,0 =. 0 = = 5. 0 = = 6. 0 = 2.,20 =. 60 = =. 50 = = = 31.,560 =. 0 = = = 33. 1,300 = = 3. 3,000 = = = = 36. 2,500 = = 3. 5,000 = = 3. 0 = = 39.,00 = = 0.,000 = = 1. 9 = = 2. 5,20 = = 3.,600 = =. 6,000 = Lesson 1: Use metric measurement to model the decomposition of one whole into tenths. 2 G-M6-SaFP
5 Lesson Sprint 6 A Write Fractions and Decimals Number Correct: _ = = = = = = 2..2 =. 0.2 = =. 0.3 = = = =. 0.5 = = = = = = 9 = =. = =. 11 = = 12 = =. 15 = =. 25 = = 5 = = = 20 =. Lesson : Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths. 3 G-M6-SaFP
6 Lesson Sprint 6 B Write Fractions and Decimals Number Correct: Improvement: =. 0.3 =. 0. = =. 0.6 = = = 2 = = 3 =. 25. = = = 5 = = = = = = = = = = 3. 3 = = = = = 9 = =. = =. 11 = = 12 = =. 1 = =. 2 = = = =...1 = 30 =. Lesson : Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths. G-M6-SaFP
7 Lesson Sprint 6 A Write Fractions and Decimals Number Correct: _ = = = = = = = = = = = =.. 0. = = = =.. 1. = = = = = = = = = = = = = = =. Lesson : Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. 5 G-M6-SaFP
8 Lesson Sprint 6 B Write Fractions and Decimals Number Correct: Improvement: = = 0. 2 = =. 3 = =. = =. 5 = = = = = =.. 0. = = = = = =. 11. = = = = = = = = =. 12 = = 0. 1 = = 2 =. 2. = = = 0 3 = = 0. Lesson : Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. 6 G-M6-SaFP
9 Lesson 16 Sprint 6 A Add Decimal Fractions Number Correct: _ = = = = =. 2. = = = = =. 35. = = = = =. = =. 0 =. + = =. 0 = = =. 0 = = =. 0 = = =. =. + 3 = = = 0. Lesson 16: Solve word problems involving money. G-M6-SaFP
10 Lesson 16 Sprint 6 B Add Decimal Fractions Number Correct: Improvement: = = =. 25. =. 26. = = = =. 31. =. 32. = =. 35. =. 36. = = =. = =. 0 = = =. 0 = = =. 0 =. + 0 = =. 0 =. + 6 = =. = = =. + = 0. Lesson 16: Solve word problems involving money. G-M6-SaFP
11 Exit Ticket Packet
12 Lesson 1 Exit Ticket 6 Name Date 1. Fill in the blank to make the sentence true in both fraction form and decimal form. a. 9 cm + cm = 1 cm 0.9 cm + cm = 1.0 cm b. cm + cm = 1 cm 0. cm + cm = 1.0 cm 2. Match each amount expressed in unit form to its fraction form and decimal form. 3 tenths 5 0. tenths tenths Lesson 1: Use metric measurement to model the decomposition of one whole into tenths. 1 G-M6-ETP
13 Lesson 2 Exit Ticket 6 Name Date 1. For the length given below, draw a line segment to match. Express the measurement as an equivalent mixed number.. cm 2. Write the following in decimal form and as a mixed number. Shade the area model to match. a. 3 ones and tenths = = b. 2 = = How much more is needed to get to 5? Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers. 2 G-M6-ETP
14 Lesson 3 Exit Ticket 6 Name Date 1. Circle groups of tenths to make as many ones as possible. How many tenths in all? Write and draw the same number using ones and tenths. Decimal Form: There are tenths. How much more is needed to get to 2? 2. Complete the chart. Point Number Line Decimal Form Mixed Number (ones and fraction form) Expanded Form (fraction or decimal form) How much to get to the next one? a b. 0. Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with place value disks, on the number line, and in expanded form. 3 G-M6-ETP
15 Lesson Exit Ticket 6 Name Date 1. Shade in the amount shown. Then, write the equivalent decimal. 6 m 2. Draw a number bond, pulling out the tenths from the hundredths. Write the total as the equivalent decimal. a m b. 2 0 Lesson : Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths. G-M6-ETP
16 Lesson 5 Exit Ticket 6 Name Date Use both tenths and hundredths place value disks to represent each fraction. Write the equivalent decimal, and fill in the blanks to represent each in unit form = 0. hundredths = 0. tenths hundredths Lesson 5: Model the equivalence of tenths and hundredths using the area mode and place value disks. 5 G-M6-ETP
17 Lesson 6 Exit Ticket 6 Name Date 1. Estimate to locate the points on the number lines. Mark the point, and label it as a decimal. a b Write the equivalent fraction and decimal for each number. a. ones 2 hundredths b. 2 ones 6 hundredths Lesson 6: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms. 6 G-M6-ETP
18 Lesson Exit Ticket 6 Name Date 1. Use the place value chart to answer the following questions. Express the value of the digit in unit form. hundreds tens ones. tenths hundredths 2 6 a. The digit is in the hundreds place. It has a value of. b. The digit is in the tens place. It has a value of. c. The digit is in the tenths place. It has a value of. d. The digit is in the hundredths place. It has a value of. 2. Complete the following chart. Fraction Fraction Notation Expanded Form Decimal Notation Decimal 22 0 (3 0) + (9 1 ) + (2 1 0 ) Lesson : Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart. G-M6-ETP
19 Lesson Exit Ticket 6 Name Date 1. a. Draw place value disks to represent the following decomposition: 3 ones 2 tenths = tenths ones. tenths hundredths b. 3 ones 2 tenths = hundredths 2. Decompose the units. a. 2.6 = tenths b. 6.1 = hundredths Lesson : Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units. G-M6-ETP
20 Lesson 9 Exit Ticket 6 Name Date 1. a. Doug measures the lengths of three strings and shades tape diagrams to represent the length of each string as show below. Express, in decimal form, the length of each string. String 1 String 2 String 3 b. List the lengths of the strings in order from greatest to least. 2. Compare the values below using >, <, or =. a. 0. kg 0.6 kg b kg 0.5 kg c. 0. kg 0. kg Lesson 9: Use the place value chart and metric measurement to compare decimals and answer comparison questions. 9 G-M6-ETP
21 Lesson Exit Ticket 6 Name Date 1. Ryan says that 0.6 is less than 0.60 because it has fewer digits. Jessie says that 0.6 is greater than Who is right? Why? Use the area models below to help explain your answer Use the symbols <, >, or = to compare. a b ones and hundredths c.. tenths and hundredths Lesson : Use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =. G-M6-ETP
22 Lesson 11 Exit Ticket 6 Name Date 1. Plot the following points on the number line using decimal form. 1 one and 1 tenth, , 1 one and 20 hundredths,, 1.11, Arrange the following numbers in order from greatest to least using decimal form. Use the > symbol between each number. 5.6, , 6.15, 6 0, , 6 ones and 5 tenths Lesson 11: Compare and order mixed numbers in various forms. 11 G-M6-ETP
23 Lesson 12 Exit Ticket 6 Name Date 1. Complete the number sentence by expressing each part using hundredths. Use the place value chart to model. 1 tenth + 9 hundredths = hundredths 2. Find the sum. Write your answer as a decimal Lesson 12: Apply understanding of fraction equivalence to add tenths and hundredths. 12 G-M6-ETP
24 Lesson 13 Exit Ticket 6 Name Date Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form Lesson 13: Add decimal numbers by converting to fraction form. 13 G-M6-ETP
25 Lesson 1 Exit Ticket 6 Name Date Elise ran 6.3 kilometers on Saturday and 5.6 kilometers on Sunday. How many total kilometers did she run on Saturday and Sunday? Lesson 1: Solve word problems involving the addition of measurements in decimal form. 1 G-M6-ETP
26 Lesson 15 Exit Ticket 6 Name Date Solve. Give the total amount of money in fraction and decimal form quarters and 3 dimes 2. 1 quarter dimes and 23 pennies Solve. Express the answer as a decimal dollars 1 quarter 1 pennies + 3 dollars 2 quarters 3 dimes Lesson 15: Express money amounts given in various forms as decimal numbers. 15 G-M6-ETP
27 Lesson 16 Exit Ticket 6 Name Date Use the RDW process to solve. Write your answer as a decimal. David s mother told him that he could keep all the money he finds under the sofa cushions in their house. David finds 6 quarters, dimes, and 26 pennies. How much money does David find altogether? Lesson 16: Solve word problems involving money. 16 G-M6-ETP
28 Assessment Packet
29 Mid-Module Assessment Task 6 Name Date 1. Write the following fractions as equivalent decimals. Then, model each decimal with the given representation. a. 2 = b. 3 = 0 c. = d. 6 = 0 e. 6 = f = g. = h = ones. tenths ones. tenths hundredths Module 6: Decimal Fractions 1 G-M6-AP
30 Mid-Module Assessment Task 6 2. Decompose tenths into hundredths using the area model. Express the equivalence of tenths and hundredths with fractions and with decimals. a. 3 tenths b. 1 and tenths 3. Use number bonds to complete parts (a) and (b) below: a. Decompose 3.2 by units. b. Compose 0.03, 0.5, and 2 as one decimal number.. Model the following equivalence on the place value chart using place value disks. 20 hundredths = 2 tenths ones. tenths hundredths Module 6: Decimal Fractions 2 G-M6-AP
31 Mid-Module Assessment Task 6 5. Complete the following chart. Unit Form Fraction Fraction Expanded Form Decimal Expanded Form Decimal a. 1 tenth 6 hundredths b. 2 c. 6.3 d. (1 ) + (6 1) + (5 0.01) e. (2 ) + (3 1) + ( 1 ) + ( 1 0 ) Module 6: Decimal Fractions 3 G-M6-AP
32 Mid-Module Assessment Task 6 6. Maya puts groceries into bags. The items and their weights in kilograms are given below. Bread Bananas Cheese Carrots Grapes Eggs a. Plot the weight in kilograms of each item on the number line below. 0 1 b. Write a number sentence using decimals to record the weight in kilograms of the bananas in expanded form. c. Write a number sentence using fractions to record the weight in kilograms of the grapes in expanded form. Module 6: Decimal Fractions G-M6-AP
33 Mid-Module Assessment Task 6 Maya packs the eggs and cheese into one of the bags. Together, these items weigh 90 0 kilogram. d. Use the area model to show that 90 0 can be renamed as tenths. = e. Use division to show how 90 0 can be renamed as tenths. Maya places the bread into the bag with the eggs and cheese. Together, all three items weigh 1 and 15 hundredths kilograms. f. Use a model and words to explain how 1 and 15 hundredths can be written as a decimal and as a fraction. Maya put the rest of the groceries in a second bag. The items in both bags weigh a total of kilograms. g. Using a model and words, explain how many tenths are in Module 6: Decimal Fractions 5 G-M6-AP
34 End-of-Module Assessment Task 6 Name Date 1. Decompose each fraction into hundredths using area models. Then, write the equivalent number sentence using decimals. a. = = b. 1 = = Decompose each fraction into hundredths. Then, write the equivalent number sentence for each part using decimals. c. 2 = d. 5 = 2. Several points are plotted on the number lines below. Identify the decimal number associated with each point. A B C A. B. C. D E F D. E. F. Module 6: Decimal Fractions 6 G-M6-AP
35 End-of-Module Assessment Task 6 3. Use the symbols >, =, or < to compare the following. Justify your conclusions using pictures, numbers, or words. a b c. 1 tenths 1. d e f g. 3 tenths + 2 hundredths 1 tenth + 13 hundredths h. hundredths + tenths 6 tenths + 1 hundredths Module 6: Decimal Fractions G-M6-AP
36 End-of-Module Assessment Task 6. Solve. a. Express your solution as a fraction of a meter. 0.3 m m b. Express your solution as a fraction of a liter. 1. L L c. Express your solution as a fraction of a dollar. dimes 1 penny + pennies 5. Solve. a. + 0 b c d e f Module 6: Decimal Fractions G-M6-AP
37 End-of-Module Assessment Task 6 6. Answer the following questions about a track meet. a. Jim and Joe ran in a relay race. Jim had a time of 9. seconds. Joe had a time of.32 seconds. Together, how long did it take them to complete the race? Record your answer as a decimal. b. The times of the 5 fastest runners were.11 seconds,.06 seconds,.6 seconds,.90 seconds, and.5 seconds. Locate these times on the number line. Record the times as decimals and fractions. One has been completed for you c. Natalie threw a discus 32.0 meters. She threw 3. meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =. Module 6: Decimal Fractions 9 G-M6-AP
38 End-of-Module Assessment Task 6 d. At the concession stand, Marta spent 9 cents on a bottle of water and 5 dimes on a bag of chips. Shade the area models to represent the cost of each item. e. Write a number sentence in fraction form to find the total cost of a water bottle and a bag of chips. After solving, write the complete number sentence in decimal form. f. Brian and Sonya each have a container. They mark their containers to show tenths. Brian and Sonya both fill their containers with 0. units of juice. However, Brian has more juice in his container. Explain how this is possible. Module 6: Decimal Fractions G-M6-AP
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