Lesson 6: Synthetic Division
Lesson 6: Synthetic Division
To begin the lesson, click the Lesson Pages button to print them.
Objectives
- Use synthetic division with polynomial expressions.
- Evaluate polynomials using synthetic substitution.
- Use the Remainder Theorem to prove polynomial division is correct.
Why?
Using the most efficient method to solve problems is a foundation of mathematics. In that vein, synthetic division is a more efficient way to work with divisors that are linear binomials.
The Warm Up activates prior knowledge that is related and important to your understanding of the lesson. It is a great way to prepare your mind for what you are about to learn.
Find the Warm Up in your lesson pages.
Follow the instructions to complete it.
In Explore you will watch videos based on the objectives for this lesson. As you watch the videos, complete the notes and examples in your lesson pages. At the end of each topic, you will find a Checkpoint problem to complete.
To get started, click each topic below in order.
Click Play to watch each video.
Fill in the notes and examples in your lesson pages as you watch the videos.
Example 1
Example 2
Example 3
Checkpoint: Synthetic Division with Integers
Now it’s your turn! A Checkpoint is an opportunity to complete a problem on your own using what you have learned.
Complete the Checkpoint for this topic in your lesson pages.
Check in with your instructor after completing the Checkpoint.
Click Play to watch each video.
Fill in the notes and examples in your lesson pages as you watch the videos.
Example 4
Example 5
Checkpoint: Synthetic Division with Non-Integers
Now it’s your turn! A Checkpoint is an opportunity to complete a problem on your own using what you have learned.
Complete the Checkpoint for this topic in your lesson pages.
Check in with your instructor after completing the Checkpoint.
Click Play to watch each video.
Fill in the notes and examples in your lesson pages as you watch the videos.
Example 6
Example 7
Checkpoint: Remainder Theorem for Polynomials
Now it’s your turn! A Checkpoint is an opportunity to complete a problem on your own using what you have learned.
Complete the Checkpoint for this topic in your lesson pages.
Check in with your instructor after completing the Checkpoint.
Practice 1
Now that you have finished exploring, it’s time to apply and practice what you have learned. Remember to have your Formula Sheet and a calculator handy.
Complete Practice 1 in your lesson pages.
After completing Practice 1, check in with your instructor.
Practice 2
Do you need more practice? Decide with your instructor 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.
The Mastery Check is a multifaceted problem that helps determine if you have mastered the lesson objectives.
Complete the Mastery Check in your lesson pages.
Self-evaluate your work using the Mastery Check Rubric.
After completing the Mastery Check and your self-evaluation, check in with your instructor.
Get the Lesson Test from your instructor.
Follow the instructions in the test to complete it.
Check in with your instructor after completing the Lesson Test.