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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/).
• 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/
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
n 2nTOTAL
n + 2n
3n
3). The sum of three consecutive odd numbers is 435. What are the numbers?
1st Number 2nd Number
n n + 23rd 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.
3). The sum of three consecutive odd numbers is 435. What are the numbers?
1st Number 2nd Number
n n + 23rd Number
n + 4
total (like 11, 13, and 15)
n + n + 2 + n + 4 = 435
3n = 435 - 6 - 6+ 6
3n = 429 3 3n =
143
The 3 numbers are143, 145, and 147
=143 =145 =147
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.”
P. 112, #3
1 2 3 4 5 … n … 35
p. 112, #3.
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
“For Exercises 1–6, draw the next figure. Complete a table and find the function rule. Then find the 35th term.”
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
Writes4 posts
3 People
Writes__ posts
Writes6 posts
Writes6 posts2 4 6
TOTAL:2
TOTAL:(4)(2)
TOTAL:(6)(3)
1 Person
Writes__ posts
2 People
Writes__ posts
Writes4 posts
3 People
Writes__ posts
Writes6 posts
Writes6 posts2 4 6
TOTAL:2
TOTAL:(4)(2)
TOTAL:(6)(3)
Step 2: Look for a pattern in the answers. If there are n people…
TOTAL:
Let’s look quickly at the investigation.
http://commons.wikimedia.org/wiki/File:US_Army_52482_Sesame_Street_brings_smiles_to_Wiesbaden_youths.jpg
Image credits: Sesame Street picture is in the public domain. Downloaded from Wikimedia on 10/16/10: