NAME DATE PERIOD Chapter 1 Performance Task

NAME

DATE

Chapter 1 Performance Task

PERIOD

SCORE

Triathlon Bound

Mr. Jackson coaches the junior varsity track team. He has entered his athletes in a triathlon. He needs information to help him motivate and prepare his athletes for this challenging event.

The triathlon consists of 1 mile of swimming, 25 miles of biking, and 6 miles of running. Mr. Jackson estimates that the average time spent on each phase of the race will be 30 minutes for swimming, 75 minutes for biking, and 60 minutes for running. He sets up a training schedule that includes two sports each day.

Monday Swim, Bike

Tuesday Run, Bike

Wednesday Swim, Run

Thursday Run, Bike

Friday Swim, Bike

Write your answers on another piece of paper. Show all your work to receive full credit.

Part A

Mr. Jackson wants to use the average times in the race as a basis for daily training times. On each day of training, the time spent on the two sports will be in the same ratio as the time expected in the actual race. Write a ratio for the amount of time that will be spent in the race for each pair of sports. Use ratio language to explain how Mr. Jackson should set up each day of training.

Part B

Make a table of values for each ratio found in Part A to show different amounts of time that could be spent on the sports during training days. Each table should have 5 pairs of values relating the two sports. The maximum values in each table should be the average time spent on the sports in the race.

Copyright ? McGraw-Hill Education. Permission is granted to reproduce for classroom use.

Course 1 ? Chapter 1?Ratios and Rates125

Part C

Graph the ordered pairs from the tables on the same coordinate plane. Describe how the ratios of the times for each pair of sports compare.

Time for Second Sport (min)

Possible Training Times

y 75 70 65 60 55 50 45 40 35 30 25 20 15 10

5

0

10 20 30 40 50 60 x Time for One Sport (min)

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Part D

Mr. Jackson would like to know the average speed for each sport. Use the average time Mr. Jackson originally estimated would be spent on each phase of the actual race. Find the average speed for each sport as a unit rate of miles per hour (mph).

Part E

Mr. Jackson wants to find out how far an athlete will swim on Monday and bike and run on Tuesday of the first week of training compared to the fourth week of training. Each week of training corresponds to the entries listed in your ratio tables. For example, the first week of training uses the first set of times in your tables in Part B, and the second week of training uses the second set of times in your tables. Find the distances for the first and fourth weeks of training for each sport. Use the speeds found in Part D.

126 Course 1 ? Chapter 1?Ratios and Rates

Chapter 1 Performance Task Rubric

Page 125 ? Triathlon Bound

Task Scenario

Students will describe a ratio, make tables of equivalent ratios, plot the pairs of values on the coordinate plane, use tables to compare ratios, and solve unit rate problems.

CCSS Content Standard(s)

6.RP.1, 6.RP.2, 6.RP.3, 6.RP.3a, 6.RP.3b, 6.NS.4

Mathematical Practices MP1, MP2, MP4, MP5, MP6, MP7, MP8

Depth of Knowledge DOK2, DOK3, DOK4

Part

Maximum Points

Scoring Rubric

A

2

Full Credit:

The ratio between swimming and biking is 30:75, or 2:5.

On Monday and Friday, for every 2 minutes of swimming,

there will be 5 minutes of biking.

The ratio between swimming and running is 30:60, or 1:2.

On Wednesday, for every minute of swimming, there will be

2 minutes of running.

The ratio between running and biking is 60:75, or 4:5.

On Tuesday and Thursday, for every 4 minutes of running,

there will be 5 minutes of biking.

Partial Credit (1 point) will be given for correct ratios OR the correct explanation of what the ratio means.

No credit will be given for an incorrect answer.

B

3

Full Credit:

Sample answer: Tables may include different values for the first

four columns, but the final pair of values must match the samples.

Monday and Friday Training

Swim (min)

2

4

10

20

30

Bike (min)

5

10

25

50

75

Wednesday Training

Swim (min)

1

5

10

20

30

Run (min)

2

10

20

40

60

Tuesday and Thursday Training

Run (min)

4

12

20

40

60

Bike (min)

5

15

25

50

75

Partial Credit (1 point) will be given for each correct table. No credit will be given for an incorrect answer.

Copyright ? McGraw-Hill Education. Permission is granted to reproduce for classroom use.

Performance Task Rubrics

Course 1 ? Chapter 1? Performance Task Rubric

251

Part

C

D E

TOTAL

Chapter 1 Performance Task Rubric, continued

Maximum Points

3

Scoring Rubric

Full Credit:

Sample graph: Each set of points appears to be in a straight line. The line for Swim/Bike training is the steepest, and the line for Run/Bike training is the flattest.

Partial Credit (1 point) will be given for the correct graph of two sets of points OR an accurate comparison of the data.

No credit will be given for an incorrect answer.

Time for Second Sport (min)

Possible Training Times

y 75 70 65 60 55 50 45 40 35 30 25 20 15 10

5

0

S/B

R/B

S/R

10 20 30 40 50 60 x Time for One Sport (min)

1

Full Credit:

Swim: 1 mile in 30 minutes, or 1 mi ? 0.5 h = 2 mph

Bike: 25 miles in 75 minutes, or 25 mi ? 1.25 h = 20 mph

Run: 6 miles in 60 minutes, or 6 mi ? 1 h = 6 mph

No credit will be given for an incorrect answer.

2

Full Credit:

Sample answer:

First week: Swim: 2 mph for 2 min; 620mmiin= 2?mmiin; 115mi

Bike: 20 mph for 5 min; 6200mmini= 5?mmiin; 123mi

Run: 6 mph for 4 min; 660mmiin= 4?mmiin; 52mi

Fourth week: Swim: 2 mph for 20 min; 620mmiin= 20? mmiin; 23mi

Bike: 20 mph for 50 min; 6200mmini= 50? mmiin; 1623mi

Run: 6 mph for 40 min; 660mmiin= 40? mmiin; 4 mi

Partial Credit (1 point) will be given for the correct distances for one week.

No credit will be given for an incorrect answer.

11

Copyright ? McGraw-Hill Education. Permission is granted to reproduce for classroom use.

252

Course 1 ? Chapter 1 ? Performance Task Rubric

Chapter 1 Performance Task Student Work Sample

Copyright ? The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom

Student Work Sample

Course 1 ? Chapter 1?Performance Task Student Work Sample

253

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