Learning Goal
Piecewise-defined and step functions
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
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.
**F 507.** Interpret statements that use function notation in terms of their context — score range 24-27, lines 280-282
**F 506.** Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs — score range 24-27, lines 276-279
**A 504.** Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) — score range 24-27, lines 234-237
**A 606.** Solve absolute value equations — score range 28-32, lines 326-327
**AF 704.** Analyze and draw conclusions based on information from graphs in the coordinate plane — score range 33-36, lines 369-370
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F 507. Interpret statements that use function notation in terms of their context — score range 24-27, lines 280-282
F 506. Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs — score range 24-27, lines 276-279
A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) — score range 24-27, lines 234-237
A 606. Solve absolute value equations — score range 28-32, lines 326-327
AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane — score range 33-36, lines 369-370
What you'll learn
- Evaluate a piecewise-defined function at a given input by first selecting the correct rule from the input's interval
- Graph a two- or three-piece piecewise function, using open and closed circles correctly at the boundaries
- Determine the domain and range of a piecewise-defined function from its definition or its graph
- Rewrite $|x|$ as a two-piece function and explain why the two pieces agree at 0
- Evaluate a step function, including the greatest-integer function, at integer and non-integer inputs
- Match a described real-world pricing or fee situation to the correct step-function graph
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
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