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Licensing information Users should treat this material as a working draft. This material can be used in its current form, customized, and/or printed or displayed by the user. The author(s) request feedback on all materials so that they can be continually improved and updated. This material is licensed under the Creative Commons Attribution license: ( http://creativecommons.org/licenses/by/2.5/ ). http://creativecommons.org/licenses/by/2.5/ Author: Kevin Hall Wording for the legal statement above is adapted from the legal statement for Trigonometry, published in 2009 by The CK-12 Foundation: http://about.ck12.org/http://about.ck12.org/

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Today’s lesson is brought to you by the letter N n

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1). Dre has $ 5 more than Diamonique. If n represents Diamonique’s money, please represent Dre’s. DiamoniqueDre n n + 5 2). Joselyn has twice as many M&M’s as Jeffrey. If Jeffrey has n M&M’s, how many M&M’s do they have altogether? JeffreyJoselyn n 2n TOTAL n + 2n 3n

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3). The sum of three consecutive odd numbers is 435. What are the numbers? 1 st Number2 nd Number n n + 2 3 rd Number n + 4 total (like 11, 13, and 15) n + n + 2 + n + 4 = 435 Now just solve the equation. The point was how to set it up. Let’s solve it together.

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3). The sum of three consecutive odd numbers is 435. What are the numbers? 1 st Number2 nd Number n n + 2 3 rd Number n + 4 total (like 11, 13, and 15) n + n + 2 + n + 4 = 435 3n= 435 - 6 + 6 3n= 429 33 n= 143 The 3 numbers are 143, 145, and 147 =143=145=147

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The instructions at the top of the page say, “ For Exercises 1–6, draw the next figure. Complete a table and find the function rule. Then find the 35th term.” P. 112, #3

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The instructions at the top of the page say, “ For Exercises 1–6, draw the next figure. Complete a table and find the function rule. Then find the 35th term.” P. 112, #3 12345…n…35

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p. 112, #3. How many diagonals can you draw from one vertex in a polygon with 35 sides? # of sides # of diagonals 12345…n…35 “For Exercises 1–6, draw the next figure. Complete a table and find the function rule. Then find the 35th term.”

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Some friends form a Facebook group and start posting on each others’ walls. If everyone posts twice per day on everyone’s wall (including their own), how many total posts will be made per day? Step 1: Try it with simple examples 1 Person Writes __ posts 2 People Writes __ posts Writes 4 posts 3 People Writes __ posts Writes 6 posts Writes 6 posts 2 46 TOTAL: 2 TOTAL: (4)(2) TOTAL: (6)(3)

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1 Person Writes __ posts 2 People Writes __ posts Writes 4 posts 3 People Writes __ posts Writes 6 posts Writes 6 posts 2 46 TOTAL: 2 TOTAL: (4)(2) TOTAL: (6)(3) Step 2: Look for a pattern in the answers. If there are n people… TOTAL:

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Let’s look quickly at the investigation.

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