Sign up for FREE

Algebra 2 6-2 Complete Lesson: Multiplying and Dividing Radical Expressions

Last updated over 4 years ago

27 questions

Note from the author:

10

A.SSE.2

10

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

30

A.APR.6

A.APR.7

10

A.SSE.3.b

10

A.SSE.2

10

10

A.APR.7

10

A.SSE.2

100

10

A.SSE.2

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

10

10

A.SSE.2

Question 3

3.

Question 4

4.

10

A.SSE.2

10

A.SSE.2

Question 7

7.

Problem 4 Got It? What is the simplest form of the expression?

Question 8

8.

Problem 5 Got It? What is the simplest form of the expression?

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

10

A.SSE.2

Question 16

16.

10

Question 18

18.

Error Analysis: Explain the error in this simiplification of radical expressions.

A.SSE.2

Question 19

19.

Review Lesson 6-1: Simplify the radical expression. Use absolute value symbols when needed.

Question 20

20.

Review Lesson 5-4: Divide using synthetic division. Show each step.

Question 21

21.

Question 22

22.

Review Lesson 4-8: Write the quotient as a complex number in the form a ± bi.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Question 27

27.

Reflection: Math Success

Question 1

1.

Question 2

2.

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not. 

Yes; 

No; The indexes are different.

Yes;

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not. 

Yes; 

No; The indexes are different.

Yes; 

Question 5

5.

Question 6

6.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15.

Vocabulary: Write the simplest form of the expression.

Review Lesson 4-6: Complete each square. 

16

25

4

x² + 10x + __?__

 x² - 10x + __?__ 

 x² + 4x + __?__ 

 x² + 8x + __?__ 

Vocabulary Review: Categorize each statement as true or false.

All mathematical expressions can be written as an equivalent expression with a denominator of 1.

An real number can have a denominator equal to 0.

The expression above a fraction bar is called the denominator.

Multiplying both the numerator and denominator by the same nonzero number results in an equivalent fraction.

True

False

Vocabulary Review: Consider the three rational expressions below. 
Drag and drop the expressions on the left to identify them as a numerator or denominator.

5

6

-5r²

16

r² + s²

c - 16

Numerators

Denominators

Use Your Vocabulary: Which expression shows the expression below with like terms combined ? 

Solve It! You can cut the 36-square into four 9-squares or nine 4-squares. Which other n-square can you cut into sets of smaller squares in two ways?

A 64-square

An 18-square

A 49-square

Solve It! Is there a square you can cut into smaller squares in three ways? Explain.

No, this only works when n is a perfect square and only creates two ways in which to divied the n-square into squares.

Yes, any n-square where n is the product of three perfect squares can be cut into smaller squares in three ways.

Problem 2 Got It?

A

B

C

D

Problem 3 Got It?

A

B

C

D

Problem 5 Got It? Which answer choices in Problem 5 could have been eliminated immediately? Explain. Select all that apply.

B; There is a cube root in the denominator. 

C; There is a cube root in the denominator. 

D; There is no y in the expression.

A; There is a cube root in the numerator.

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D