Teacher Resources

In this module, students will learn how to transform a quadratic equation into vertex form for solving for the vertex and the zeros of a quadratic function. They will then apply this learning to relevant exercises. This self-paced module is aligned with the Maryland College- and Career-Ready Standards in Mathematics for Algebra 1.

This module contains several interactive features. Watch the Learn How to Use this Module tutorial to familiarize yourself with these features.

Please review the Accessibility page for all of your students.

Module Information

  • Grade Band: Algebra 1, Grades 7-12
  • Topic: Solving Quadratic Equations
  • Completion Time: 10 - 20 minutes
  • Vocabulary: Visit the Glossary page for definitions of key vocabulary in this module.
  • Focus Standard:
    • CCSS.MATH.CONTENT.HSA.REI.B.4.A - Use the method of completing the square to transform any quadratic equation in x into an equation of the form the quantity x minus p squared equals q that has the same solutions. Derive the quadratic formula from this form.

    This module will focus on the first component of the standard. This module will not include the derivation of the quadratic formula, although teachers should note that this connection to the quadratic formula is a major purpose for learning the process of completing the square. This module will focus on using the method of completing the square to solve quadratic equations.

  • Skill:
    • Apply the method of completing the square to solve quadratic equations.

Student Resources for this Module

In this module, students are provided with links to an external website(s). The site has been chosen for its content and grade-level appropriateness. Efforts are made to minimize linking to websites that contain advertisements or comments, but some websites may contain these features. Teachers should preview all websites before introducing the activities to students and adhere to their school system's policy for Internet use. In addition, multimedia on these externally linked sites may not be accessible to all users, such as those individuals requiring a screen reader or using a tablet.

The following website may be used for further instruction and practice with the topic:

Completing the Square Opens a new window

Using This Site

This lesson is built for use on classroom computers and tablets. If you have access to a desktop computer, laptop, tablet or an interactive whiteboard in your classroom, you may complete the lesson in your classroom. Otherwise, you will need to schedule time to use your school's computer lab. For technical specifications, see below.

Some activities on this site may include videos and narration, so you may want to have headphones available for students working at individual stations. For best results in viewing the videos and interactives, you should have a high-speed, stable Internet connection.

This lesson may contain PDFs for students to complete. They can print the PDFs and fill them out by hand, or download the files and fill them out on the computer. Most or all portions can be filled out online. Please check with your Instructional Technology Specialist for instructions on downloading the PDF. (Note that to complete the PDFs on the computer, you will need a viewer, such as Adobe Reader, that supports forms.)

Technology

This site is an Internet-based activity, and it was built to run on the following computer operating systems and browsers:

  • Windows 7 or Newer: IE 8, 9, 10, 11; Current version of Chrome; Current version of Firefox
  • Mac OS 10.7 or Newer: Current version of Safari
  • iPad2/iOS6 or Newer: Current version of Safari
  • Android 4.0 or Newer: Current version of Android browser
  • Chromebook: Current version of Chrome

Users running Internet Explorer 8 will not be able to use the highlighter tool. Instead, teachers should consider partnering students for a brief discussion.

Visit the Accessibility page for detailed information on the site's accessibility features.