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

1). Dre has $5 more than Diamonique. If n represents Diamonique’s money, Please represent Dre’s. Diamonique Dre 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? Jeffrey Joselyn TOTAL n 2n n + 2n 3n

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

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

P. 112, #3 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 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.” 1 2 3 4 5 … n … 35

p. 112, #3. “For Exercises 1–6, draw the next figure. Complete a table and find the function rule. Then find the 35th term.” How many diagonals can you draw from one vertex in a polygon with 35 sides? # of sides # of diagonals 1 2 3 4 5 … n 35

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 2 People 3 People Writes __ posts Writes __ posts Writes 4 posts Writes __ posts Writes 6 posts Writes 6 posts 2 4 6 TOTAL: 2 TOTAL: TOTAL: (4)(2) (6)(3)

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

Let’s look quickly at the investigation.

Image credits: Sesame Street picture is in the public domain. Downloaded from Wikimedia on 10/16/10: http://commons.wikimedia.org/wiki/File:US_Army_52482_Sesame_Street_brings_smiles_to_Wiesbaden_youths.jpg