Learning Goal: I can add, subtract, and multiply polynomial expressions, including those representing real-world situations.
Learning Goal: I can add, subtract, and multiply polynomial expressions, including those representing real-world situations.
Guided Notes
A binomial is a polynomial with two terms. You can represent a product of two binomials as the area A of a rectangle with the binomials as side lengths. You can then find the product by breaking the rectangle into smaller rectangles. The area models below show that
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Question 1
1.
Find the product using the Area Model
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Question 2
2.
Find the product using the Area Model
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Question 3
3.
We can also multiply polynomials in a Vertical manner.
Let's multiply
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Question 4
4.
Find the product using the Vertical method.
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Question 5
5.
Amber opened a cell phone repair company in 2000. From 2000 to 2020, the function N(t) that models the annual number of cell phone repairs (in thousands) and the function C(t) that models the average cost of a repair (in dollars) are as shown in the photo, where tis the number of years since 2000. Find a function R(t) that models Amber’s total annual revenue from cell phone repairs. Then use the function to estimate Amber’s total revenue in 2015.
On Your Own
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Question 6
6.
What were the main mathematical concepts presented today? How did they relate to your prior learning in math? What was new or different?
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Question 7
7.
Find the product
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Question 8
8.
Find the product
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Question 9
9.
Find the product
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Question 10
10.
The number of students enrolled at a college is modeled by
and the average tuition paid per student (in thousands of dollars) is modeled by
In both models, t represents the number of years since 2010. Write a function R(t) to model the annual revenue that the college receives from tuition payments. Then predict the revenue received in 2020.
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Question 11
11.
Using the whole numbers 1 through 9, at most one time each, fill in the boxes to make a true statement.
