### Grade 8: Freestyle 200 - Functions

#### Common Core Standards

**8. F.1** Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

**8. F.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.

**Standards for Mathematical Practice**

MP.1 Make sense of problems and persevere in solving them.

MP.2 Reason abstractly and quantitatively.

MP.3 Construct viable arguments and critique the reasoning of others.

MP.4 Model with Mathematics.

MP.6** **Attend to precision.

#### Description of Unit

This unit “Freestyle 200 - Functions” from the NYC Department of Education is focused on the introduction to a precise definition of functions. The unit is paced to 2 to 3 weeks, depending on students’ prior knowledge. Prerequisite knowledge includes using tables and graphs to represent the values of proportional and non-proportional relationships, interpreting and evaluating linear equations, and solving systems of linear equations. The unit includes an outline with formative assessments and suggested learning activities. A performance task with a rubric and scored student work is included.

#### Cautions

Connecticut teachers should be aware that this unit is actually an outline with links to multiple sources. Teachers who are not using the comprehensive Algebra I Curriculum may need to select some of the resources and adapt them to fit student needs during the transition to full implementation of the CCSS-M.

#### Rationale for Selection

- The multiple links to lessons provide a balanced approach for instruction as well as opportunities for differentiation.
- The performance task requires that students analyze graphs of functions and interpret rates of change, intersections, and points on the curves of different functions.