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# Linear and Nonlinear Function Review and Portfolio

Lesson 12 of 13

## Objective: Students will be able to assess their understanding of the key ideas of this unit as well as their ability to apply the standards of mathematical practice to their work in this class.

## Big Idea: Give students the chance to put all the pieces together. Give them the chance to make connections between the ideas and skills of the unit.

*50 minutes*

#### Review Session

*40 min*

This class period is devoted to individual and group review. The reason behind the lack of structure is to give students the opportunity to direct their own review. Obviously, this requires you to coach students individually, in small groups or even as a class to ensure that students find ways to use this time effectively.

I start the review session by distributing the practice quiz and asking students not to start the quiz but rather to identify their strengths and weaknesses using the problems provided as examples. I ask them to list 3 problems they really need to focus on (on a whiteboard) and I circulate briefly to check that students are making reasonable choices. There are always students who tend to work on the problems they already understand well, so I explicitly discourage this.

Students can then get started working immediately, with some coaching about how to find or choose resources to help them. If you feel more structure is needed, it can be helpful to ask some students to volunteer to be experts. I try to choose students who have a particularly deep understanding of each problem, and I list their names on the board next to the problems they understand well, so struggling students can get help from them. Another option is to ask students not to erase their work when they do problems on whiteboards, so that if a student does a problem particularly well, you can grab that whiteboard and let other students use it as a reference. The goal is to provide as many resources as possible for students so that they are able to facilitate their own review session.

I have provided two different sets of resources for the review session. The first is a practice quiz which has problems of each type all at the same level and the second set is at 3 different levels.

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#### Closing

*10 min*

I like to take several minutes at the end of the review session to ask students to reflect on how effectively they used their time and on any other topics they need to review in greater depth before tomorrow's quiz. You can circulate and have this conversation with each group or pair of students, or you can ask students to write down their answers to some reflection questions:

(1) How well did you use your time today? Explain.

(2) What did you do that you think helped you be prepared for this quiz?

(3) What could you still do tonight to be prepared for the quiz tomorrow? Which topics in particular do you need to review? What resources can you use to help you?

I like to create a culture of reflection in my class, which happens only if you constantly ask students to reflect. Even though their answers to these particular questions might not be especially revealing, the more often that you ask these types of questions, the more comfortable students will become thinking this way.

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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: Patchwork Tile Patterns
- LESSON 2: Investigating Linear and Nonlinear Tile Patterns
- LESSON 3: More Tile Patterns
- LESSON 4: Constant Speeds and Linear Functions
- LESSON 5: Linear and Nonlinear Functions
- LESSON 6: Real World Relationships
- LESSON 7: Sketching Graphs for Real-World Situations
- LESSON 8: Slopes of Linear Functions
- LESSON 9: Different Forms of Linear Equations
- LESSON 10: Linear Function Designs
- LESSON 11: Verbal Descriptions of Linear and Nonlinear Functions
- LESSON 12: Linear and Nonlinear Function Review and Portfolio
- LESSON 13: Linear and Nonlinear Functions Summative Assessment