Quadratic Functions and Solutions

Lesson 10

Math

Unit 7

9th Grade

Lesson 10 of 13

Objective


Solve quadratic equations by factoring. Compare solutions in different representations (graph, equation, and table).

Common Core Standards


Core Standards

  • F.IF.C.8.A — 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.
  • F.IF.C.9 — Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
  • A.SSE.B.3.A — Factor a quadratic expression to reveal the zeros of the function it defines.

Criteria for Success


  1. Identify roots of a quadratic equation from an equation, graph, and table of values. 
  2. Use efficient methods to factor quadratic equations to reveal roots. 
  3. Compare solutions to quadratic equations shown in different ways.
Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Problems


Problem 1

Set A and Set B each include a quadratic function represented as an equation, a graph, and a table. 

Determine if all three representations in each set match. If not, explain how you would change one or more of the representations to make them match.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 2

Which quadratic function below has the greatest positive value of $$x$$ as a solution?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem Set


Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


Match each equation to its graph and table representation.

References

Desmos Card Sort: Parabolas

Card Sort: Parabolas by is made available by Desmos. Copyright © 2017 Desmos, Inc. Accessed Aug. 18, 2017, 12:22 p.m..

Modified by Fishtank Learning, Inc.

Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Include examples where students look at multiple representations of quadratic functions (equation, table, graph) and compare or math representations
icon/arrow/right/large copy

Lesson 9

icon/arrow/right/large

Lesson 11

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Features of Quadratic Functions

Topic B: Factoring and Solutions of Quadratic Equations

Topic C: Interpreting Solutions of Quadratic Functions in Context

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

Effective Instruction Made Easy

Effective Instruction Made Easy

Access rigorous, relevant, and adaptable math lesson plans for free