Describe qualitatively the functional relationship between two quantities by analyzing a graph

Start lessonBegins with Reading graphs qualitatively · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

8.F.B.5

**8.F.B.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.

8.F.B.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.

What you'll learn

Describe a graph in qualitative terms by identifying where a function is increasing, decreasing, or constant, without computing exact values
Classify sections of a graph as linear (straight) or nonlinear (curved), and explain what each shape implies about the rate of change
Identify and describe key features of a graph -- where the function starts, where it reaches a maximum or minimum, where it ends, and where its behavior changes
Sketch a graph that matches a verbal description of a real-world situation, including the correct qualitative shape (increasing/decreasing, linear/nonlinear, constant segments)
Write a complete verbal "graph story" that accounts for every section of a given graph, using language such as "increases quickly," "stays constant," "decreases slowly," and "curves upward"

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