Adding & Subtracting Radical Expressions with Coefficients

Adding & Subtracting Rational Expressions with Coefficients

Mr. Pecora - EMHCS, Rochester, NY

Learning Target

I can simplify + add and subtract radical expressions with coefficients.

Character Target

I will show responsibility for my learning by actively participating (asking and answering questions) in my breakout group.

Poll

Rate yourself on a scale from 1-5 of where you stand in terms of Adding and Subtracting Rational Expressions with Coefficients.

• 1

  I don’t get it at all! I NEED HELP!!

• 2

  I get some of the material, but often get stuck and need help

• 3

  I usually make a strong attempt and get some answers correct and some incorrect.

• 4

  I feel confident with the material, but want to fine tune my skills so I can regularly answer 95%-100% correctly.

• 5

  I'm an expert! I can teach the material to others!

LET'S DO A QUICK REVIEW!! :-)

Make sure you have your math notebook and pencil!

Multiple Choice

How many factors does a PRIME number have?

• TWO - 1 and the number itself

• ONE

• THREE or more

• INFINITE ∞

Multiple Choice

Which of the following numbers is PRIME?

• 9

• 24

• 7

• 15

Multiple Choice

Using a Factor Tree, find all of the PRIME factors for 100.

• 2 x 2 x 2 x 2

• 2 x 2 x 2 x 5

• 10 x 2 x 5

• 2 x 2 x 5 x 5

Multiple Choice

How many perfect squares are in 2 x 2 x 5 x 5?

• ONE

• TWO

• FOUR

• NONE

Multiple Choice

What is the exponential form of 5 x 5 x 5?

• $125$

• $5^2$

• $3^5$

• $5^3$

Multiple Choice

How many perfect cubes can be factored out of  $b^{12}$  ?

• SIX because
  
   $b^2\ \cdot\ b^2\ \cdot\ b^2\ \cdot\ b^2\ \cdot\ b^2\ \cdot\ b^2$  
  =  $b^{\left(2\ +\ 2\ +\ 2+\ +2\ +\ 2\ +2\right)}$  
  =  $b^{12}$  

• FOUR because
  
   $b^3\ \cdot\ b^3\ \cdot\ b^3\ \cdot\ b^3$  
  =  $b^{\left(3\ +\ 3\ +\ 3\ +\ 3\right)}$  
  =  $b^{12}$  

Multiple Choice

What is the index of  $\sqrt{25\ ?}$  

• 5

• 2

• 3

• 0

Multiple Choice

What is the cubed root of  $^3\sqrt{27}$  ?

• 2

• 9

• 3

• 1

Radical Rules

Always keep your cheat sheet near by!

Let's Put It All Together NOW!

Adding and Subtracting Radical Expressions:

I DO

WE DO

YOU DO

I DO: As I work the problem out, write the process out in your math notebook.

(I will present with my document camera then switch back here)

Make sure you show all of your work (PRIME Factor Tree) in your math notebook.

WE DO: As we work the problem out, write the process out in your math notebook.

(I will present with my document camera then switch back here)

Make sure you show all of your work (PRIME Factor Tree) in your math notebook.

YOU DO: Work the problem out; write the process out in your math notebook.

Make sure you show all of your work (PRIME Factor Tree) in your math notebook.

Solve this problem in your MATH Notebook and SHOW all of your work.

Then, take a picture and email it to me: 

[e-mail]

Poll

NOW - Rate yourself AGAIN on a scale from 1-5 of where you stand in terms of Adding and Subtracting Rational Expressions with Coefficients.

• 1

  I don’t get it at all! I NEED HELP!!

• 2

  I get some of the material, but often get stuck and need help

• 3

  I usually make a strong attempt and get some answers correct and some incorrect.

• 4

  I feel confident with the material, but want to fine tune my skills so I can regularly answer 95%-100% correctly.

• 5

  I'm an expert! I can teach the material to others!