Learning Activities (1) | Classroom Resources (5) |

View Standards
**Standard(s): **
[MA2015] AL1 (9-12) 46 :

46 ) Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

The YouTube video "Slope Music Video" is a video that introduces the concept of slope and slope-intercept form of a linear equation.

View Standards
**Standard(s): **
[MA2015] AL1 (9-12) 45 :

[MA2015] AL1 (9-12) 46 :

45 ) Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]

a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. *Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.* [S-ID6a]

b. Informally assess the fit of a function by plotting and analyzing residuals. [S-ID6b]

c. Fit a linear function for a scatter plot that suggests a linear association. [S-ID6c]

[MA2015] AL1 (9-12) 46 :

46 ) Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

In Module 2, Topic D, students analyze relationships between two quantitative variables using scatterplots and by summarizing linear relationships using the least-squares regression line. Models are proposed based on an understanding of the equations representing the models and the observed pattern in the scatter plot. Students calculate and analyze residuals based on an interpretation of residuals as prediction errors.

46 ) Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

In this Desmos activity, students practice finding equations of lines in order to land a plane on a runway. Most of the challenges are well-suited to slope-intercept form, but they are easily adapted to other forms of linear equations depending on the goals of an individual class or a student. This activity should be used to help teach a lesson on slope-intercept. This Desmos activity offers sample student responses and a teacher guide.

In this Desmos activity, students practice finding equations of lines in order to hit the runway. Students will practice writing equations of lines, introducing the concepts of slope-intercept lines. This activity should be used to help teach a lesson on slope-intercept. This Desmos activity offers sample student responses and a teacher guide.

In this PhET activity, students will explore the world of lines and investigate the relationships between linear equations, slope, and graphs of lines. The learning goals for this activity will be to explain how the slope of a graphed line can be computed, graph a line given an equation in either slope-intercept or point-slope form, write an equation in slope-intercept or point-slope form given a graphed line, and predict how changing variables in a linear equation will affect the graphed line. This activity should be used to help teach a lesson on graphing linear equations. This PhET activity can be downloaded and assigned to Google Classroom.

In this PhET activity, students explore the slope-intercept form of a line and connect the slope and y-intercept to the equation of the line. The learning goals for this activity will be to graph a line given an equation in slope-intercept form, write an equation in slope-intercept form given a graphed line, predict how changing the values in a linear equation will affect the graphed line, and predict how changing the graphed line will affect the equation. This activity can be used to help teach a lesson on graphing linear equations. This PheET activity can be downloaded and assigned to Google Classroom.