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factoring Challenge Problems

factoring Challenge Problems

Assessment

Presentation

•

Mathematics

•

8th - 12th Grade

•

Hard

Created by

SHAD HICKMAN

FREE Resource

8 Slides • 5 Questions

1

Factoring Challenge Problem

factoring when a=1 and c is not prime

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2

Five friends Bob, Moe, Shemp, Felipe, and Curly are having an argument about this challenge problem. The teacher hears their argument and asks them each their answers


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3

Bob, Moe, and Shemp

a.      Bob say that there are three values of m that work in this challenge problem. m = -13, -8, -7

b.     Moe says that there are three values of m that work in this challenge problem. m = 13, 8, 7

c.      Shemp says that there are three values of m that work in this challenge problem. m = 11, 4, 1

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4

Felipe and Curly

d,      Felipe says that there are six values of m that work in this challenge problem. m = 13, 8, 7, 11, 4, and 1

e.     Curly says that there are six values of m that work in this challenge problem. m = -13, -8, -7, -11, -4, and -1

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5

Poll

Question image

Who do you think is correct?

Bob



m = {-13,-8,-7}

Moe

m = {13, 8, 7}

Shemp

m = {11, 4, 1}

Felipe

m = {13,8,7, 11,4, 1}

Curly

m = {-13,-8,-7, -11,-4, -1}

6

The teacher sighs and says, “well you are all wrong, but Felipe and Shemp have the correct number of answers”

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7

This excites Felipe and Curly, but then Moe asks,” Who is closest to the correct answer?”, to which the teacher responds” Shemp”

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8

This makes Shemp happy and asks “Who is the most wrong?”, to which the teacher responds , “Bob and Moe” 

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9

This excites Felipe and Curly, but then Moe asks,” Who is closest to the correct answer?”, to which the teacher responds” Shemp”

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10

Open Ended

Recall that



 Bob stated that m = {-13, -8, -7} 



Moe stated m ={13, 8, 7}. 



What did they both do wrong based on the given equation?

 x2+mx−12=0x^2+mx-12=0  

11

Open Ended

Recall that  x2+mx−12=0x^2+mx-12=0  



 Shemp stated that m = {11, 4, 1} 



But this means Shemp is short three answers


What are the three missing answers?

12

Open Ended

 x2+mx−12=0x^2+mx-12=0  
State the six factorable equations related to this challenge problem

13

Open Ended

 x2+mx−12=0x^2+mx-12=0  
State the six factorable equations related to this challenge problem and their solutions

pattern-tertiary
Factoring Challenge Problem

factoring when a=1 and c is not prime

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