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9-12 Algebra 2 Unit 4 Lesson 12

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 •Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

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Unit 4, Lesson 12

Arithmetic with Complex Numbers

Algebra 2

Practice

Problem 1

Student Task Statement

Write each expression in the form , where and are real numbers. You may plot the numbers in the complex plane as a guide.

<p>Complex plane. Horizontal axis -8 to 8, by 2’s. Vertical axis, -8i to 8i, by 2i’s </p>

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Problem 2

Student Task Statement

Which expression is equivalent to ?

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Problem 3

Student Task Statement

What are and when you write in the form , where and are real numbers?

,

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Problem 4

Student Task Statement

Fill in the boxes to make a true statement:

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Problem 5

ForLesson 10: A New Kind of Number

Student Task Statement

Plot each number on the real number line, or explain why the number is not on the real number line.

<p>Number line, scale -10 to 10, by 2’s.</p>

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Problem 6

ForLesson 11: Introducing the Number <mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672" xmlns:xlink="http://www.w3.org/1999/xlink"><defs><path id="MJX-6543-TEX-I-1D456" d="M184 600C184 574 202 557 226 557C259 557 290 590 290 619C290 644 271 661 247 661C214 661 184 631 184 600M161-11C231-11 278 66 299 130C301 136 302 140 302 143C302 153 297 153 282 153C264 153 264 153 260 137C244 83 220 46 191 32C184 28 173 26 166 26C153 26 149 36 149 51C149 60 151 70 154 83C155 86 244 323 245 327C248 337 250 347 250 357C250 410 210 442 158 442C135 442 117 434 100 421C68 399 40 353 24 301C22 294 21 290 21 287C21 283 25 280 27 278L41 278C60 278 57 278 61 287C71 327 88 360 108 381C123 397 137 404 154 404L156 404C169 404 173 395 173 380C173 370 172 357 168 344C167 340 77 101 76 97C74 91 74 83 74 74C74 22 109-11 161-11Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="i" data-semantic-structure="0"><g data-mml-node="mi" data-latex="i" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;nemeth:number;depth:1" data-semantic-id="0" data-semantic-attributes="latex:i" data-semantic-level-number="0" data-speech-node="true"><use data-c="1D456" xlink:href="#MJX-6543-TEX-I-1D456"></use></g></g></g></svg></mjx-container>

Student Task Statement

Which expression is equivalent to ?

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Lesson 12 Resources

Student Materials

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