Unit 6, Lesson 5
Fitting Lines
Integrated Math 1
Preparation
Lesson Narrative
Students begin this lesson by informally assessing the fit of various linear models to data, then use technology to find the line of best fit. They see that some data sets are better candidates for linear modeling than others and continue to analyze the slope and intercept of the linear models.
When students sort scatter plots into linear and nonlinear categories and organize lines of best fit by the goodness of fit, they look for and make use of structure (MP7) because they are analyzing representations and structures closely and making connections. Students are reasoning abstractly and quantitatively (MP2) when they interpret the meaning of the slope and vertical intercept in context.
- Determine which linear model is a better fit for a given data set.
- Interpret (orally and in writing) the rate of change and vertical intercept for a linear model in everyday language.
- Use technology to generate the line of best fit, and use the equation representing the linear model to predict (extrapolate) and estimate (interpolate) values not given in the data set.