UNIT 1

Practice

Now that you have finished reviewing, it’s time to apply and practice what you have learned. Remember to have your Formula Sheet and a calculator handy.

Practice 1

Complete Practice 1 in your Lesson Pages.

After completing Practice 1, check in with your instructor to determine if you should go to the Mastery Check or Practice 2.

Practice 2

Do you need more practice? With your instructor, decide if you would benefit from more practice based on your comfort level with Practice 1 and/or the Mastery Check.

Complete Practice 2 in your Lesson Pages.

After completing Practice 2, check in with your instructor.

I have completed all Practice pages that my instructor has assigned to me, and I am ready to continue.

More to Explore

My instructor has asked me to complete the More to Explore activity as part of this lesson.

More to Explore is an opportunity to grow and challenge your knowledge and understanding of what you have learned in the lesson. Carefully read and follow the instructions as the activity formats vary from lesson to lesson.

Technology Tutorial

Using Desmos®

Desmos® is a free online application that includes many useful tools including a graphing calculator and a scientific calculator. In Desmos, these tools are available from the Math Tools drop-down menu.

The Tutorial Page provides information about getting started and creating specific graphs.

Helpful topics for using the Desmos Graphing Calculator® for upper level math include:

Each tutorial includes a guide, as well as an option for practice using Graphing Challenges links.

Use of the Desmos Graphing Calculator and other Desmos Tools is used with permission from Desmos Studio, PBC.

Transforming Rational Functions

Changing the values of a, h, and k will transform a rational function as compared to the rational parent function.

 fx=1x, x0

 

Go to Desmos.com to see how changing a, h, and k affects the graph.
Think about the answers to the questions below. (You can use your guided notes.)

  1. What happens to the graph when the value of a is negative?
  2. What happens to the graph when a>1?
  3. What happens to the graph when 0<a<1?
  4. What happens to the graph when h:
  1. Increases?
  2. Decreases?
  3. Is positive?
  4. Is negative?
  1. What happens to the graph when k:
  1. Increases?
  2. Decreases?
  3. Is positive?
  4. Is negative?

Use of the Desmos Graphing Calculator and other Desmos Tools is used with permission from Desmos Studio, PBC.

Should you end this learning session here? Ask your instructor if you should pause here or continue learning.