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Adding and Subtracting Polynomials (1).notebook 1 September 30, 2019 Monday September 30, 2019 Warmup Since 2008, museums in the US have acquired 260,470 works of art. Of that total, only 29,247 were made by female artists. What percent of all the acquisitions are made by female artists? (Note: The US is actually considered a world leader in this aspect. Global aquisitions are 2% female artists.) source: https://www.nytimes.com/2019/ 09/19/arts/design/femaleartagency partnerssothebysartistsauction.html Adding and Subtracting Polynomials If f(t) = (5t 2 + 100t + 1000) (5t 2 + 75t + 1200) and g(t) = 175t + 2200, Are f(t) and g(t) equivalent? How could you prove it? We can also compare the graphs: Two polynomial functions/expressions are equivalent if: They can be simplified to give the same function/expression They produce the same graph NOTE: Evaluating both functions at 1 variable is not enough to prove equivalence! Example 2 Are the expressions xy + xz + yz and x 2 +y 2 +z 2 equivalent? Practice: 1. Question Stack (choose your own groups of 34 people) 2. pg. 89 #10 (see example 2 in text book), 11, 12

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Page 1: Adding and Subtracting Polynomials (1).notebook · 2019. 9. 30. · Adding and Subtracting Polynomials (1).notebook 1 September 30, 2019 Monday September 30, 2019 Warmup Since 2008,

Adding and Subtracting Polynomials (1).notebook

1

September 30, 2019

Monday September 30, 2019Warm­up

Since 2008, museums in the US have acquired 260,470 works of art. Of that total, only 29,247 were made by female artists. What percent of all the acquisitions are made by female artists?

(Note: The US is actually considered a world leader in this aspect. Global aquisitions are 2% female artists.)

source: https://www.nytimes.com/2019/09/19/arts/design/female­art­agency­

partners­sothebys­artists­auction.html 

Adding and Subtracting PolynomialsIf f(t) = (­5t2 + 100t + 1000) ­ (­5t2 + 75t + 1200)

and g(t) = 175t + 2200,

Are f(t) and g(t) equivalent? How could you prove it?

We can also compare the graphs: Two polynomial functions/expressions are equivalent if:• They can be simplified to give the same function/expression• They produce the same graph

NOTE: Evaluating both functions at 1 variable is not enough to             prove equivalence! 

Example 2Are the expressions xy + xz + yz and x2 + y2 + z2 equivalent?

Practice:1. Question Stack (choose your own groups of   

    3­4 people)

2. pg. 89 #10 (see example 2 in text book), 11, 12

Page 2: Adding and Subtracting Polynomials (1).notebook · 2019. 9. 30. · Adding and Subtracting Polynomials (1).notebook 1 September 30, 2019 Monday September 30, 2019 Warmup Since 2008,

Adding and Subtracting Polynomials (1).notebook

2

September 30, 2019

Question Stack

• Lay out the 10 cards with the answers facing up.

• Choose one to begin with, turn it over to reveal the question and put it on your placemat. 

• Answer the question. Find your answer on one of the answer cards. 

• Turn over the corresponding answer card to reveal your next question. 

• Repeat until you’ve worked through all of the questions.