Summative Assessment: Grade 5

 

 

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Crab Walk Relay Race

Task

Mr. Fair, the physical education teacher, is forming three crab walk relay teams. There must be four students on each relay team. To determine the teams, Mr. Fair uses the students' crab walk times from the last physical education class. The students are timed to the nearest tenth of a second.

Student	Time in seconds
Harry	12.2
Sally	10.3
Joseph	8.9
Amy	8.7
Ryan	9.9
Josh	11.4
Meredith	10.5
Anna	9.1
Brooke	10.9
Travis	11.1
Greg	11.9
Emily	11

Mr. Fair wants each of the three relay teams to be as equally matched in total time as possible. Mr. Fair writes the three teams on a piece of paper. What four students could Mr. Fair put on each team? Mr. Fair decides to write the less than, greater than, or equal symbols on his paper to compare the three teams. What could be on Mr. Fair's paper? Show all your mathematical thinking.

 

Decimal Place Value Unit

Exemplars Task-Specific Evidence

This task requires students to order and compare decimals. It also requires students to add and subtract decimal values to tenths place.

TEKS Mathematical Process Standards

• 5.1A Apply mathematics to problems arising in everyday life, society, and the workplace.

• 5.1B Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

• 5.1C Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

• 5.1D Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

• 5.1E The student is expected to create and use representations to organize, record, and communicate mathematical ideas.

• 5.1G Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Underlying Mathematical Concepts

• Compare decimals
• Decimal notation
• Inequality/Equality symbols
• Addition/Subtraction of decimals

Possible Problem-Solving Strategies

• Chart
• Guess and check
• Number line

Formal Mathematical Language and Symbolic Notation

• Chart
• Number line
• Time (second, minute)
• Decimals (8.7, 12.2 ...)
• Place value (ones, tenths)
• Equivalent/Equal to
• Greater than (>)/Less than (<)
• Combination
• Total/Sum
• Range

Possible Solutions

See the charts below for three suggested teams. Team 1's time > Team 2's time. Team 2's time = Team 3's time. Team 1's time > Team 3's time.

 

 

 

 

 

 

 

 

Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

• Find a new combination of 3 relay teams.
• Harry is the slowest crab walker – 12.2 seconds.
• Amy is the fastest crab walker – 8.7 seconds.
• The range is 12.2 – 8.7 = 3.5 seconds.
• Emily's time < Travis' time by 0.1 second.
• Ryan's time is < Greg's time by 2.0 seconds.
• All seconds are recorded to the tenths place.
• 42.1 seconds is 17.9 seconds from 1 minute.
• 41.9 seconds is 18.1 seconds from 1 minute.
• The girls' combined total time is 60.5 seconds.
• The boys' combined total time is 65.4 seconds.
• 60.5 < 65.4 so the girls' total time is faster than the boys' total time.
• Relate to a similar task and state a math link.
• The combined total time of all the students is 125.9 seconds, so there cannot be 3 exactly equal times.

Scoring Rationales and Corresponding Anchor Papers

Novice

• Scoring Rationales and Corresponding Anchor Papers

Apprentice

• Scoring Rationales and Corresponding Anchor Papers: Student 1
• Scoring Rationales and Corresponding Anchor Papers: Student 2

Expert

• Scoring Rationales and Corresponding Anchor Papers

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