Thursday, June 18, 2015

Math problems of the week: Common Core inspired 8th grade functions problems

From the Smarter Balanced Assessments, a Common Core-inspired, standardized test consortium now consisting of about 12 states.

The Common Core goal in question?

Grade 8 » Functions » Use functions to model relationships between quantities. » 5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Extra Credit:

Labels vs. Concepts

If you factor out the hurdle of knowing the meanings of the various labels ("linear", "non-linear," "positive slope," "negative slope"), how much mathematical challenge is left, and at approximately what grade level would you put it?


Anonymous said...

I love how it leaves kids free to draw the conclusion that studying more than two hours of studying is counterproductive....

S Goya said...

Just because an admittedly terrible math problem is inspired by Common Core does not prima facie make Common Core bad. It does, however, call into question the way Common Core is implemented.