Algebra 2 5-8 Guided Practice: Polynomial Models in the Real World
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Last updated almost 3 years ago
19 questions
3 points
3
Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
You are designing a patio. Square A is where you will place your grill. You are experimenting with your design by varying the size of square B.
The table shows the total patio area for each of five different lengths x.
10 points
10
Question 2
2.
Solve It! Based on the pattern in the table, find the total area when x is 5.
10 points
10
Question 3
3.
Solve It! What type of polynomial function does the data fit? Explain.
3 points
3
Question 4
4.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 5
5.
Take Note: Restate The (n + 1) Point Principle in your own words.
10 points
10
Question 6
6.
Take Note: Match each Desmos regression notation with the appropriate model.
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10 points
10
Question 7
7.
Problem 1 Got It?
3 points
3
Question 8
8.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 9
9.
Take Note: Summarize the process of modeling data that is used in Problem 2.
10 points
10
Question 10
10.
Problem 2 Got It?
3 points
3
Question 11
11.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 12
12.
Problem 3 Got It? If four data points are given, which type of regression function can guarantee a perfect fit?
HINT: Recall The (n+1) Point Principle.
3 points
3
Question 13
13.
Video Check: Select all that apply with regards to the video embedded directly above this item.
5 points
5
Question 14
14.
Take Note: Define interpolation. You may use the canvas to help illustrate your written definition.
5 points
5
Question 15
15.
Take Note: Define extrapolation. You may use the canvas to help illustrate your written definition.
7 points
7
Question 16
16.
Take Note: Consider modeling the data in the table.
Classify each year in the left column below based on whether estimating cheese consumption that year is an example of interpolation or extrapolation.
1950
1995
2050
2000
1890
2005
2019
Interpolation
Extrapolation
10 points
10
Question 17
17.
Problem 4 Got It?
Create a table at desmos.com and use it to find a linear regression model of the cheese consumption data. Let x = years since 1900. Recall Desmos' linear regression notation: y1~ax1+b.
Zoom and pan your graph to establish an appropriate viewing window that contains all data points and the regression line.
Take a screenshot of your graph and upload or paste it to the Formative canvas.
14 points
14
Question 18
18.
Problem 4 Got It? Use the model you created above to estimate cheese consumption for 1980, 2000, and 2012 algebraically and/or graphically. Remember that you were instructed to let x represent years since 1900.
Also, identify the prediction years in which you can have the most and least confidence.
Hint: Consider interpolation vs extrapolation.
26.31 lb
23.07 lb
21.53 lb
17.7 lb
1980
2000
2012
Estimated consumption in 1980
Estimated consumption in 2000
Estimated consumption in 2012
Two prediction years with greatest confidence
Prediction year with least confidence
10 points
10
Question 19
19.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
