Learning Goal: (1)Provide a context for slope and y-intercepts (2)Understand that linear functions have a constant rate of change and can be represented in multiple ways.
- Stacking Cups (Dan Meyer)
- Common Core
- HSF.BF.A.1 – Write a function that describes a relationship between two quantities.
- HSF.LE.A.1.B – Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
- 8.F.A.3 – Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
- 8.F.B.4 – Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.