Number Talk: How Fast Did You Improve Your 1 Mile Time in the Month of September and October? by Erik Manzo

Math Concept and Goal

emanzo14 — 2023-11-04 02:38:40 UTC

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.

Record Your Mile Time for the Month of September

emanzo14 — 2023-11-04 02:52:14 UTC

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.

Record Your Mile Time for October

emanzo14 — 2023-11-04 02:53:26 UTC

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.

Write a Ratio

emanzo14 — 2023-11-04 03:22:35 UTC

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

Graph your Mile Times on a Coordinate Graph

emanzo14 — 2023-11-04 03:32:11 UTC

For the Month September Graph of Mile Times.

X= the week number

Y= Mile Time you ran for that week

Graph your Mile Times on a Coordinate Graph

emanzo14 — 2023-11-04 03:50:23 UTC

For the Month of October Graph of Mile Times.

X= the week number

Y= Mile time you ran for that week

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

emanzo14 — 2023-11-04 03:54:57 UTC

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:

Possible Solutions: Example on How The Graphs Should Look

emanzo14 — 2023-11-04 03:56:48 UTC

Questions to Guide Student Discussion

emanzo14 — 2023-11-04 04:02:15 UTC

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?

References

emanzo14 — 2023-11-04 04:05:01 UTC

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

Academic Language

emanzo14 — 2023-11-04 04:34:17 UTC

Quantities
Proportional Relationships
Equivalent ratios
Tables
Coordinate Graphs
Mile Timed Run

Fun Fact: Fastest Mile Time Recorded

emanzo14 — 2023-11-04 05:44:59 UTC

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

Metal Math Warm-Up

emanzo14 — 2023-11-04 17:55:10 UTC

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.