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In the graph, Identify the mile time using the linear line graph.

Once you have the answer, show a thumbs up to be ready to share your answer.

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Ratios and Proportional Relationships: CCSS.Math.CONTENT.7.RP.A.2.a: Students will decide whether two quantities are in a proportional relationship by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin (California Common Core State Standards Mathematics, 2013).

Goal: The goal is for students to compare their mile times from the month of September and October and compare to see which month their mile time got faster through ratio, table, and a coordinate graph.

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Quantities

Proportional Relationships

Equivalent ratios

Tables

Coordinate Graphs

Mile Timed Run

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Record Your Mile Time for the Month of September

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Record Your Mile Time for the Month of September

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Record your mile time from the month of September. X = the week we ran the mile (For example, the first x slot will be week 1). Y = will be the mile time you ran for that week. Remember we run the 1 mile run every other week.

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Record your mile time from the month of October.

X = the week we ran the mile (For example, the first x slot will be week 1). Y = will be the mile time you ran for that week. Remember we run the 1 mile run every other week.

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With the number of weeks and your mile time, write a ratio from the XY Table. Simplify the ratio if needed.

Example: 1/6, 2/7, 3,8

September: _____ /______, ______ /_______, _______ /________

October: _______ /_______, ______ / _______, _______ /________

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Graph your Mile Times on a Coordinate Graph 

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Graph your Mile Times on a Coordinate Graph 

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For the Month September Graph of Mile Times.

X= the week number

Y= Mile Time you ran for that week

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Graph your Mile Times on a Coordinate Graph 

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Graph your Mile Times on a Coordinate Graph 

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For the Month of October Graph of Mile Times.

X= the week number

Y= Mile time you ran for that week

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Possible Solutions: Example on How The Graphs Should Look

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Possible Solutions: Example on How The Graphs Should Look

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After graphing your miles times, compare which month you got faster. 

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After graphing your miles times, compare which month you got faster. 

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Based on the graphs for September and October, What was your best month in your mile time? And which mile time was your fastest based on the graphs?

Answer:

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If you did not improve your mile time in both months, what workout strategies can you perform to better your mile time?

What foods can you eat the night before the mile run to improve your mile time?

If you got faster in your mile time, what is your next goal time in the mile?

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Here is a link to a YouTube video of the fastest recorded mile run.

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Jakob Ingebrigtsen runs fastest mile in 21 years in Oslo | NBC Sports

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California State Board of Education. (2013). California common core state standards: Mathematics. https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf

[NBC Sports]. (2022, June 16). Jakob Ingebrigtsen runs fastest mile in 21 years in Oslo. [Video]. YouTube. https://youtu.be/Hqu1WQR9qX4?si=b2lVrRMgfvtuiwDq