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.

Yes No

More to Explore

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

Yes No

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. 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.

Checking Answers Using Technology

Use the Desmos Graphing Calculator to check answers.
Type in the given expression in the first row.
Type in your simplified expression in the second row.
- If the graphs match exactly, the simplified answer is correct.
- If the graphs do not match, there is an error you must find and correct.
- Be sure to zoom in and out to check that the graphs are aligned.

Lesson 3, Example 4, Correct

Row 1:

$(12 x^{3} - 8 x^{2} + 5 x) - (- 7 x^{2} + x + 4)$

Row 2:

$12 x^{3} - x^{2} + 4 x - 4$

Since it looks like there is only one graph on the coordinate plane, the simplified answer is correct.

Lesson 3, Example 4, Incorrect

Line 1:

$(12 x^{3} - 8 x^{2} + 5 x) - (- 7 x^{2} + x + 4)$

Line 2:

$12 x^{3} - 15 x^{2} + 6 x - 4$

There was an error in simplifying (Line 2). The error can be seen on the coordinate plane showing two unique graphs. This means the problem needs to be reworked.

[note] This process can also be used to quickly check if:

polynomial identities are true.
expressions are factored correctly.

[/note]

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

Algebra 2: Advanced Algebra

Resources

Glossary

Digital Tools