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Algebra 2 Unit 1 Day 9 SP Imaginary Numbers.notebook October 02, 2017 DO NOW Simplify each radical expression. Make sure your final answer has no negative terms in the radicand (underneath the radical sign). 1) 2) 3) 4) Algebra 2 10/02/17 Aim : What are Imaginary Numbers and How Do We Evaluate Them? HW : Imaginary & Complex Numbers Worksheet (Even Numbers)
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Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2 Unit 1 Day 9 SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4 6 Correct Aim: What ...

Aug 17, 2018

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Page 1: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

DO NOWSimplify each radical expression. Make sure your final answer has no negative terms in the radicand (underneath the radical sign).

1) 2) 3) 4)

Algebra 2                                                   10/02/17Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 2: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

1) 2) 3) 4)

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Simplify each radical expression. Make sure your final answer has no negative terms in the radicand (underneath the radical sign).

Page 3: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

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Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Extended Until Midnight Friday

Page 4: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Algebra 1 & 2 Lunch Help on Mondays & Thursdays with Ms. Sims in 207A

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Page 5: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Wednesdays with Ms. Sims Room 207A

* Extension Lessons * Test Corrections* Peer Tutoring * Make­Up Missing Work

Page 6: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Page 7: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 8: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

A number that is expressed in terms of the square root of a negative number (usually the square root of −1, represented by i ). 

Imaginary Number

The imaginary unit, i , is the number whose square root is equal to negative 1. 

The Imaginary Unit

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 9: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Simplifying Radicals with Negatives

Ex. 1 Ex. 2

Ex. 3 Ex. 4

A radical is not considered simplified if there is a negative radicand.

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 10: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Ex. 5 Ex. 6

Simplify each negative radical expression.

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 11: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Ex. 5 Ex. 6

Simplify each negative radical expression.

Neither Correct 

BothCorrect

One Correct

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 12: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

What do you notice about taking answers of taking an even vs. an odd root of a number?

Disuss with Your Neighbor

Ex. 5 Ex. 6

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 13: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

EVEN INDEXES:If the radicand is negative, the roots are imaginary only if the index is EVEN.

ODD INDEXES:

Roots of Negative Numbers

If the radicand is negative, the roots are real and negative.

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 14: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

What is the imaginary unit and when do we use it to simplify expressions?

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 15: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

Simplifying Square Roots with Negative Radicands 

Assess as You Work

1

2

3

I got it!

I don't get it

I'm not sure 

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 16: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

0 ­ 3 Correct 

7 ­ 8 Correct

4 ­ 6 Correct

Aim: What are Imaginary Numbers and How Do We Evaluate Them?HW: Imaginary & Complex Numbers Worksheet (Even Numbers)

Page 17: Algebra 2 - Unit 1 - Day 9 - SP Imaginary Numbers.notebook · Algebra 2  Unit 1  Day 9  SP Imaginary Numbers.notebook October 02, 2017 DO NOW ... 4  6 Correct Aim: What ...

Algebra 2 ­ Unit 1 ­ Day 9 ­ SP Imaginary Numbers.notebook October 02, 2017

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