Teacher Resources

In this module, students will identify the effect on the graph of f of x when replacing f of x by f of x plus k, k times f of x, f of k times x, and f of the quantity x plus k for specific values of k. The students will find the value of k given the graphs of f of x, f of x plus k, k times f of x, f of k times x, and/or f of the quantity x plus k. This self-paced module is aligned with the Maryland College- and Career-Ready Standards in Mathematics for Algebra 1, which are based on the Common Core State Standards (CCSS).

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: Transformations of Functions
  • Completion Time: 10 - 20 minutes
  • Vocabulary: Visit the Glossary page for definitions of key vocabulary in this module.
  • Focus Standards:
    • CCSS.MATH.CONTENT.HSF.BF.B.3
      Identify the effect on the graph of replacing f of x by f of x plus k, k times f of x, f of k times x, and f of the quantity x plus 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.

    This module uses technology to guide students to identifying the effect on the graph of f of x when replacing f of x by f of x plus k, k times f of x, f of k times x, and f of the quantity x plus k for specific values of k. The function f of x can be linear, quadratic, or exponential. The module does not focus on even and odd functions.

  • Skills
    • Identify the transformation on a function as a translation, rotation, reflection, dilation, reduction, or a combination of these transformations.
    • Recognize the graph of a given function and the transformation of the given function.

Student Resources for this Module

In this module, students are provided with a link 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 can be used as an additional resource for students:

Mathbits: Graphing Functions in the Graphing Calculator 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.