Adult education teacher Carol Cashion created this Desmos lesson to presents a series of activities using tables, equations, graphs and student observations to build a conceptual understanding of the features of a linear function: slope and y-intercept.
Students will have opportunities to:
- Use a function equation to identify points on the graph of that equation
- Analyze and compare the graphs of lines with the same slope and different y-intercepts
- Graph equations starting with the y-intercept
- Build definitions of y-intercept and slope from student observations
- Analyze and compare the graphs of lines with different slopes
- Identify the slope of a line from a graph
- Connect understanding of slope to rise over run
- Connect understandings of slope and y-intercept to y=mx+b form
Here are a few sample screens:
![](https://i0.wp.com/www.collectedny.org/wp-content/uploads/2022/05/image-5.png?resize=604%2C426&ssl=1)
![](https://i0.wp.com/www.collectedny.org/wp-content/uploads/2022/05/image-7.png?resize=604%2C388&ssl=1)
![](https://i0.wp.com/www.collectedny.org/wp-content/uploads/2022/05/image-9.png?resize=604%2C331&ssl=1)
![](https://i0.wp.com/www.collectedny.org/wp-content/uploads/2022/05/image-8.png?resize=604%2C347&ssl=1)
![](https://i0.wp.com/www.collectedny.org/wp-content/uploads/2022/05/image-10.png?resize=604%2C331&ssl=1)