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Think Smart for the Smarter Balanced Assessment Scatter Plots Think Smart for the Smarter Balanced Assessment Course 3 • Smarter Balanced Assessment Item Types • Countdown to SBAC • Chapter Tests in SBAC Format • Chapter Performance Tasks, Rubrics, and Student Work Samples • Benchmark Tests with Performance Tasks Go online for more! connectED.mcgraw-hill.com Course 3 www.mheonline.com connectED.mcgraw-hill.com • Question Analysis Charts • Student Scoring Rubrics • Technology-Enhanced Questions • More Performance Tasks! NAME DATE PERIOD SCORE Countdown: 18 Weeks 1. Imani is analyzing numbers. 8.NS.1, 8.NS.2 Part A: Select whether the number in each situation is rational or irrational. Rational Irrational A circumference of a circular picture frame is 5π, or 15.7079632…, inches. A bottle contains 0.6 kiloliters of water. The sales tax on a purchase was 6.25%. The net change in Patrick’s stock was –$11. __ Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Part B: The diagonal of a rectangular carpet is 6√3 feet long. Estimate the length of the diagonal to the nearest tenth of a foot. Then explain why you can only estimate the length, not find its exact value. __ 2. _1 Enrique says that the value of √x is a rational number for any positive, nonzero integer value of x. Select all of the values of x that could be used as counterexamples to show that Enrique’s conjecture is false. 8.NS.1 x=1 x=2 x=4 x=5 x=8 x=9 Course 3 • Countdown • 18 Weeks 17 3. The table shows the approximate populations of four capital cities in the United States. Write the correct city to make each statement true. 8.EE.1 City Augusta, Maine Cheyenne, Wyoming 39 310 Population (approx.) Jackson, Montpelier, Mississippi Vermont 311 38 _1 the population of Jackson. The population of is about The population of Montpelier. is about 3 times the population of The population of is about 27 times the population of 3 Augusta Cheyenne Jackson Montpelier . 4. The number line shows four points labeled A, B, C, and D. Select whether each statement is true or false. 8.NS.2 Think Smart for SBAC A 7 True B C D 7.5 8 False ___ The value of √50 is between point A and point B. ___ On the actual test, you might be asked to click the appropriate box for each statement. In this book, you will be asked to shade in the boxes instead. The coordinate of point C is less than √60 . 5. City Cab Company charges $3.00 per ride plus $2.00 per mile traveled. Metro Cab Company charges $1.50 per ride plus $2.50 per mile traveled. Write an equation to find m, the number of miles for which the total cost is the same for both taxi companies. Then solve the equation to find the number of miles when the cost is the same, and state what that cost is. 8.EE.7, 8.EE.7b Equation: m= miles Cost for that number of miles: 18 Course 3 • Countdown • 18 Weeks Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. ___ The coordinate of point D is greater than √63 . Course 3 • Countdown 173 2. 1. DATE __ Rational Irrational PERIOD x=9 x=8 x=5 x=4 x=2 x=1 _1 SCORE Course 3 • Countdown • 18 Weeks Enrique says that the value of √x is a rational number for any positive, nonzero integer value of x. Select all of the values of x that could be used as counterexamples to show that Enrique’s conjecture is false. 8.NS.1 __ irrational and its exact decimal value cannot be written. Part B: The diagonal of a rectangular carpet is 6√3 feet long. Estimate the length of the diagonal to the nearest tenth of a foot. Then explain why you can only estimate the length, not find its exact value. __ 10.4 ft; Sample answer: √3 is equivalent to__a decimal that neither terminates nor repeats, so 6√3 is The net change in Patrick’s stock was –$11. The sales tax on a purchase was 6.25%. A bottle contains 0.6 kiloliters of water. A circumference of a circular picture frame is 5π, or 15.7079632…, inches. Part A: Select whether the number in each situation is rational or irrational. Imani is analyzing numbers. 8.NS.1, 8.NS.2 Countdown: 18 Weeks NAME 017-018_SBAC_A_C3_CD18_793945.indd 17 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 18 5. 4. 3. . Jackson Augusta Cheyenne 39 Augusta, Maine 3 38 is about 27 times the population of False 7.5 C ___ D 8 ___ The coordinate of point D is greater than √63 . ___ The coordinate of point C is less than √60 . The value of √50 is between point A and point B. B On the actual test, you might be asked to click the appropriate box for each statement. In this book, you will be asked to shade in the boxes instead. 3 Countdown Course 3 • Countdown • 18 Weeks $9.00 miles 3 + 2m = 1.5 + 2.5m Cost for that number of miles: 3 m= Equation: City Cab Company charges $3.00 per ride plus $2.00 per mile traveled. Metro Cab Company charges $1.50 per ride plus $2.50 per mile traveled. Write an equation to find m, the number of miles for which the total cost is the same for both taxi companies. Then solve the equation to find the number of miles when the cost is the same, and state what that cost is. 8.EE.7, 8.EE.7b True 7 A Montpelier Jackson Cheyenne Augusta Think Smart for SBAC _1 the population of Jackson. 311 Jackson, Montpelier, Mississippi Vermont is about 3 times the population of is about 310 Cheyenne, Wyoming The number line shows four points labeled A, B, C, and D. Select whether each statement is true or false. 8.NS.2 Montpelier The population of The population of Montpelier. The population of Population (approx.) City The table shows the approximate populations of four capital cities in the United States. Write the correct city to make each statement true. 8.EE.1 30/10/14 2:34 PM 017-018_SBAC_A_C3_CD18_793945.indd 18 17 Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom 30/10/14 2:34 PM Countdown: 18 Weeks Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.