Summer Olympics

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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
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