Review Session and Workshop

Objective

SWBAT describe the similarities and differences between the two key problems of this unit and to use multiple representations to compare these problems.

Big Idea

What kinds of situations generate quadratic relationships? What are some characteristics of quadratic relationships? Use two situations that students have examined in depth to develop a more abstract understanding of these relationships.

Lesson Author

Hilary Yamtich

Oakland, CA

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

quadratic functions

Algebra

Quadratic Equations

Standards

HSF-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

HSF-IF.C.7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

HSF-IF.C.8a

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

HSF-BF.A.1

Write a function that describes a relationship between two quantities.*

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

MP7

Look for and make use of structure.

MP8

Look for and express regularity in repeated reasoning.

Warm-Up

20 minutes

Review Session

40 minutes

Give students lots of time to work, and help them stay focused by asking them to constantly assess their understanding and mastery. The workshop is not about "fill stuff in" or "completing worksheets," but rather it is about understanding. Ask students to be experts and to teach each other, or ask students to circulate around the room to work with different people.

End the workshop with a self-assessment, either for students to complete orally in pairs, or by asking them to write briefly about what they have mastered and what they still need to review.

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