Alg1 Lesson 4.01: Simplify Square Roots

Lesson 4.01:

Simplify Square Roots

Obj: 11A: I can factor out perfect squares to simplify
square roots.

EQ: How do I simplify square roots?

Roles:
Facilitator
Scribe
Resourcer
Includer

Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles

Facilitator

• Make sure that all peers are staying on task.

• Give advice or suggestions to resolve the problem.

• Be sure everyone is able to explain.

Scribe

• Make sure peers organize their results on their own papers.

• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.

• Be ready to join the teacher for a huddle.

Resourcer

• Make sure peers are getting the materials needed.

• Make sure that all materials are put away neatly.

• Make sure that peers are logged in to the needed site.

• Help troubleshoot any technology difficulties that may arise.

Includer

• Make sure that all peers are talking about their work.

• Helps keep peers’ voice volume low.

• Encourages everyone to ask questions.

• Communicates conflicts or questions to the teacher.

Word Cloud

How do you show leadership?

● Check off tasks & skills on calendar.

● Select skills to work on.

● Work on Deltamath.

Remember to work on the following too…

Part 1: Perfect Squares

For example √x¹⁸ = x^(18/2) = x⁹

Match

Match each expression.

• √36

• √64

• √25

• √49

• √81

6

8

5

7

9

• 6

• 8

• 5

• 7

• 9

Multiple Choice

What is √x⁶

• x³
• x⁵
• x²
• x⁴

Fill in the Blanks

What is √400?

Multiple Choice

What is √120? Not a perfect square

• Not a perfect square

• 30

• 60

• 11

Part 2: Simplify Numeric

Square Roots

Find the largest perfect square to factor out. See if you can factor out any
other perfect squares.

Multiple Choice

Simplify √490

• 14√5
• 10√7
• 7√10
• 5√14

Multiple Choice

Simplify √252

• 3√28

• 14√3

• 7√6
• 3√14
• 6√7

Drag and Drop

Simplify each square root.

√600 = ​

Placeholder

√​

Placeholder

√882 = ​

Placeholder

√​

Placeholder

Drag these tiles and drop them in the correct blank above

10

6

2

21

3

7

5

Part 3: Simplify Square

Roots with Variables

Multiple Choice

Simplify √72x⁵

• 6x²√2x

• 3x⁴√8x

• 2x⁴√18x

• 2x²√6x

Multiple Choice

Simplify √1000x³

• 5x√(20x)
• 10x√(10x)
• 100x√(10)
• 20x√(5x)

Drag and Drop

Simplify each expression.

√294x⁸ = ​

Placeholder

x​

Placeholder

√(​

Placeholder

)
√338x⁷ = ​

Placeholder

x³√(​

Placeholder

x)

Drag these tiles and drop them in the correct blank above

7

⁴

6

13

2

5

Part 4: Simplify Square

Root Expressions

Drag and Drop

√363 + √48 = ​

Placeholder

sqrt(​

Placeholder

) + ​

Placeholder

sqrt(3) = ​

Placeholder

√(​

Placeholder

)

Drag these tiles and drop them in the correct blank above

11

3

4

15

12

2

44

Multiple Choice

Simplify √15*√42

• 2√105
• 9√30

• 3√70

Multiple Choice

Simplify 6/√24

• √6/2
• 3/√6
• √12/4

Random Question of the Day Time

https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.