dlants

Linear Bundle

Key Understandings

• Rates of change express themselves as slope of a line, and as a coefficient of x in a linear equation.
• Y-intercepts express themselves as constants in linear equations.

Activities

This bundle presumes that students have some experience with the coordinate plane, and with plotting points on the coordinate plane. They have not mastered the relationship between any of the forms of a linear equation and the associated graph. They may not know the terms slope or y-intercept. They have worked with algebraic variables. They know quite a bit about proportionality in general and rates in particular.

dlants

Key Understandings

• Understand the structure/behavior of exponential functions in relation to linear functions. (Linear functions/arithmetic sequences change by a common difference. Exponential functions/geometric sequences change by a common ratio.)
• Understand the characteristics of exponential graphs and tables, including how these characteristics appear in equations.

Activities

1 What happens if growth is multiplicative rather than additive?

https://teacher.desmos.com/activitybuilder/custom/56c7457e11c7724106e683b1

The bundle opens with a modeling task that builds on students’ understanding of linear growth and uses that understanding—along with a playful context—to launch into an informal exploration of exponential growth. The emphasis here is on tables and graphs.

dlants

I could never be a teacher. I am really not that tough.
Being up at 5 each morning sounds really really rough.
Teaching, planning, grading, testing... For a day that's too much stuff.
Parents and administration would no doubt make me gruff.
I could never be a teacher. It just doesn't pay enough.