CORE Assessment Module Module Overview Content Area Title Grade Level Problem Type Standards for Mathematical Practice Common Core State Standards SBAC Assessment Claims Task Overview Module Overview Mathematics Summer Olympics Grade 5 Performance Task Mathematical Practice 1 (MP1): Make sense of problems and persevere in solving them. Mathematically proficient students: Explain to themselves the meaning of a problem and look for entry points to its solution. Analyze givens, constraints, relationships, and goals. Make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution. Consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solutions. Monitor and evaluate their progress and change course if necessary. Transform algebraic expressions or change the viewing window on their graphing calculator to get information. Explain correspondences between equations, verbal descriptions, tables, and graphs. Draw diagrams of important features and relationships, graph data, and search for regularity or trends. Use concrete objects or pictures to help conceptualize and solve a problem. Check their answers to problems using a different method. Ask themselves, “Does this make sense?” Understand the approaches of others to solving complex problems and identify correspondences between approaches. 5.NBT.3 Read, write, and compare decimals to thousandths. 5.NBT.3a Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000). 5.NBT.4 Use place value understanding to round decimals to any place. 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Claim 2: Problem Solving—Students can solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies. In Part 1, students will solve constructed response questions about Olympic racing times, where they must compare, add, subtract, and divide decimals. In Part 2, students will compare data and answer questions based on the 2008 Olympic times, the 2010 trials, and the 2012 Olympic times. In Part 3, students will write an article about who they believe has the best/least chance of winning the Olympic race this year and why. (sample included) Page 1 Module Components 1) Scoring Guide 2) Task An example of a sports article for students to see before or during the assessment. http://www.dogonews.com/2013/6/17/visually-impaired-pole-vaulters-fly-high Math Grade 5: Module Overview Page 2 Summer Olympics Scoring Guide Part Description Credit for specific aspects of performance should be given as follows: Points Total Points 1 1. a. Student gives correct answer: The fastest runner is Quincy and the slowest runner is Henry. b. Student gives correct answer: LaShawn would need to shave off 1.25 seconds to beat Quincy. (Award ½ pt if student answers 1.2 seconds) c. Student gives correct answer in word form: Jeremy is threehundredths (0.03) of a second faster than Michael. d. Student gives correct answer: The average racing time for the 400 m dash is 43.094 seconds. e. Response should include: the formula for finding the mean (add the number of items and then divide by the amount of items) 43.48 + 44.29 + 43.45 + 41.5 + 42.75 = 215.47 / 5 = 43.094 s 2. a. Student gives correct differences in times: Michael: 2.02 s Henry: 1.4 s Jeremy: 0.10 s Quincy: 0.85 s LaShawn: 0.05 s (each correct answer is worth 0.4 pt) b. Student gives correct answer: Michael had the greatest improvement in time. 2 6 3. Answers will vary. Response should include complete sentences with reasoning to support Kelly’s and Jennifer’s predictions. 1 4. Student article should: include the results of the past two Olympic games. highlight the winners and the most improved runner from 2008 to 2012. include a prediction for the 2016 games. discuss who they think is least likely to win be grammatically correct, using appropriate English, punctuation, and spelling. TOTAL POINTS: (possible points = 18 points) 5 2 3 Math Grade 5: Scoring Guide 1 1 1 1 3 2 7 1 5 Page 3 Student Name ______________________ Summer Olympics You are a sports writer for The American Herald. You have been given the assignment to cover the 400 m dash race for the Summer Olympics. Use the information from the table below to gather information about the racers and answer questions. Then write a sports article for your newspaper. Athlete Time (s) Michael 43.48 Henry 44.29 Jeremy 43.45 Quincy 41.5 LaShawn 42.75 Part 1 1. a. Based on this information, which runner is the fastest? Which runner is the slowest? Explain your reasoning. b. How much time would LaShawn need to shave off of his time to beat Quincy? c. How much faster is Jeremy than Michael? Write your answer in decimal word form. d. What is the average racing time of the 400 m dash? e. Explain how you found the average in part 1d. Show your work. Math Grade 5: Summer Olympics Page 1 Student Name ______________________ Part 2 Summer Olympics 2008 Summer Olympics 2012 Athlete Time (s) Athlete Time (s) Michael 45.50 Michael 43.48 Henry 45.69 Henry 44.29 Jeremy 43.55 Jeremy 43.45 Quincy 42.35 Quincy 41.5 LaShawn 42.80 LaShawn 42.75 2. a. For each athlete, find the difference between their 2008 and 2012 times. Athlete Difference in Times (between 2008 and 2012) Michael Henry Jeremy Quincy LaShawn b. Who had the greatest improvement in their time? 3. Your friend Kelly believes that Quincy will win based on his time. But Jennifer, another student, argues that Michael will win. Explain why you think Kelly and Jennifer each think the way they do. Math Grade 5: Summer Olympics Page 2 Student Name ______________________ Part 3 4. Write an article summarizing the results of the past two summer Olympic games and include your prediction for the winner of the 2016 Summer Olympics. Be sure to explain why you believe this athlete will win. Math Grade 5: Summer Olympics Page 3