The mathematical purpose of this lesson is for students to understand that correlation coefficients describe the relationship between variables and the trend they create on a graph. Previously, students learned about lines of best fit and they distinguished between information given by a linear model and actual data. In the associated Algebra 1 lesson, students find and interpret correlation coefficients. Students make use of structure (MP7) when they think about how scatter plots look when a linear model is a very close fit to the data and when it is not. They reason abstractly and quantitatively (MP2) when they synthesize parts of a linear model and think about how to rank the models based on how likely the data is to lay directly on the line produced from the linear model.
Lesson overview
- 7.1 Warm-up: Math Talk: Ordering Decimals (5 minutes)
- 7.2 Activity: Ranking Models (15 minutes)
- 7.3 Activity: Predicting Value (20 minutes)
Learning goals:
- Understand how to interpret a correlation coefficient.
Learning goals (student facing):
- Let’s explore our confidence in linear models.
Standards:
- This lesson builds towards the standards: CCSS.HSS-ID.CMS.S-IDCCSS.HSS-ID.C.8MS.S-ID.8MO.A1.DS.A.7MO.A1.DS.A
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