ALEX Resources

   View Standards     Standard(s): [MA2019] ACC-7 (7) 23 :

23. Construct a function to model the linear relationship between two variables.

a. Interpret the rate of change (slope) and initial value of the linear function from a description of a relationship from two points in a table or graph. [Grade 8, 16]

[MA2019] REG-8 (8) 16 :

16. Construct a function to model a linear relationship between two variables.

a. Interpret the rate of change (slope) and initial value of the linear function from a description of a relationship or from two points in a table or graph.

[MA2019] AL1-19 (9-12) 18 :

18. Solve systems consisting of linear and/or quadratic equations in two variables graphically, using technology where appropriate.

In this lesson, students interpret key features of graphs for both linear and quadratic functions in the context of total and marginal production. The lesson begins with a short video about a young entrepreneur who designed his own line of bowties. Students then predict the relationship between the number of workers and the production of bowties. Students test their predictions by participating in a production activity making paper bowties. Next, they sketch graphs of their total and marginal product and describe the key features of their graphs. The lesson closes with students graphing two datasets and deciding which dataset most realistically describes the relationship between the number of workers and production.