PLEASE HURRY Track-and-Field Day
The Harrison Creek Owls have been studying rational numbers. While participating in the annual track-and-field day at school, they are discovering that rational numbers are all around them!
As you complete this task, keep this in mind: The seventh graders are competing against the eighth graders for the track-and-field day trophy. As you complete each problem, record the points earned by each team so you can determine who wins the trophy!
Directions:
Complete each of the following tasks, reading the directions carefully as you go.

You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations.

Step 1: Calculating with rational numbers in real-world contexts

In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)a

If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?

Each leg of the race from part a is the same distance. Calculate the team’s average time for each leg of the race. Show your work. (2 points)

If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?

Step 2: Using properties of operations to add and subtract with fractions

a) Jill jumped "6" "1" /"3" feet in the long-jump event. Jill’s best friend jumped "6" "5" /"7" feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem. (2 points)

If Jill’s best friend jumped farther than 6.5 feet, then she beat the school record and the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?


b) Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42"5" /"8" feet and Grace threw it 39"3" /"5" feet. How far did the team throw the javelin? Show your work. (2 points)


If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earns 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?

For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation. (2 points)

If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?

Step 3: Using properties of operations to solve real-world problems with rational numbers

a) The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points)

15 m 10.5 m
Start Finish

Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.