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# Piecewise Functions and Absolute Value Functions Portfolio and Review

Lesson 11 of 12

## Objective: Students will be able to assess their own understanding of the key skills and concepts of this unit, as well as their ability to use the standards of mathematical practice.

#### Portfolio Workshop

*30 min*

Throughout the unit, I used colored paper (non-white paper) when I copy anything that could be later used in a students’ portfolio. This way, throughout the unit, students know which assessments and tasks can be part of their portfolio. It also makes the portfolio organization much easier because students can literally sort through a pile of work and pull out the possibly portfolio components easily.

The idea behind the portfolio is for students to create their own summative assessment of the unit. The big question to ask them as their work on their portfolio is: How can you show your mastery of the skills and ideas of this unit? Which work represents your best effort and understanding?

Additionally, students are asked to think meta-cognitively about their use of the mathematical practice standards during the unit. I have narrowed the list down from all 8 in the beginning, while students familiarize themselves with these.

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- UNIT 1: Linear and Nonlinear Functions
- UNIT 2: Piecewise Functions
- UNIT 3: Absolute Value Functions and More Piecewise Functions
- UNIT 4: Introduction to Quadratic Functions through Applications
- UNIT 5: More Abstract Work with Quadratic Functions
- UNIT 6: Rational Functions
- UNIT 7: Polynomial Functions
- UNIT 8: Exponential Functions
- UNIT 9: Ferris Wheels
- UNIT 10: Circles
- UNIT 11: Radical Functions
- UNIT 12: Cubic Functions

- LESSON 1: The Overtime Problem
- LESSON 2: Real World Applications of Piecewise Functions
- LESSON 3: Graphing and Writing Equations for Piecewise Functions
- LESSON 4: Progressive Income Taxes and Piecewise Functions
- LESSON 5: Compare and Contrast Graphs of Piecewise Functions
- LESSON 6: Write Piecewise Functions to Match Graphs
- LESSON 7: Piecewise Functions Level Review
- LESSON 8: Make Piecewise Functions Continuous
- LESSON 9: Write Absolute Value Functions as Piecewise Functions
- LESSON 10: More Absolute Value Graphs
- LESSON 11: Piecewise Functions and Absolute Value Functions Portfolio and Review
- LESSON 12: Piecewise and Absolute Value Functions Summative Assessment