Complete College Algebra Project

YOU WILL DO BOTH QUESTIONS 6 AND 10 FOR EACH WEEK BELOW

Week 5 Deliverables

Read through the two problems with your partner and try to come up with a plan for solving these problems. Will you be using technology, and if so, what will it be? Do you have different ideas on how to approach the problems?

At the end of week 5, each partner must submit in the W5 Assignment dropbox a Microsoft Word document addressing the following items. You will earn 20 points if you cover all the items for Week 5. If you do not cover all the items you will not earn points for the Week 5 Deliverables.

Problem solving plan (problems found on page 239-240 in textbook)

o

Problem 6

§What parent function does it look like you need to use to fit the shape in Figure 6?

§Share your ideas of how you will go about figuring out the equation. There are multiple methods, so if you have more than one idea, share them all!

o

Problem 10

§In order to find the distance for the red marked paths, does it make more sense to use the Pythagorean Theorem, distance formula, slope, or equation of the line? Could it be possible to use any of them? Explain your answer.

§What concept or formula will you need to use in order to create the equation that gives time as a function of distance?

Week 7 Deliverables

At the end of week 7, each partner must submit in the W7 Assignment dropbox a Microsoft Word document addressing the following items.The Week 7 Deliverables will be graded using

this rubric

and will be worth 200 points. (problems found on page 239-240 in textbook)

Problem 6

oWhat are the coordinates of the point (x,y
)?

oGive the equation for the path of the ball, showing all work. Explain why you do each step.

oInclude a screenshot of the graph of your equation (use Desmos.com), verifying that it goes through the given points.

Problem 10

oThe total time T (in hours) of the trip as a function of the distance x (in miles). Make sure you show all your work to come up with this equation, and explain each step and what it represents.

oThe domain of the function. Explain why this domain makes sense, and show work as needed.

oGraph the function using the graphing utility on Desmos.com. Take a screenshot and make sure it is included in your document. The graph should be focused over the domain of the function.

oFind the value of x that minimizes T. Desmos.com will note this ordered pair for you automatically. If it does not, then you can click various points of the graph and it will display the ordered pair.

oWhat does the ordered pair of the minimum for T represent in our situation? I.E. what does the value of x tell us, and what does the value of T tell us? Write a brief paragraph interpreting these values.

Reflection on the project as a whole

oProcess for each problem

§Did your idea for solving this work?

§Did you have to get help or try different methods?

§Was this problem easy? Hard?

§Share anything else you have to say

about the problems

oWorking with a partner

§Were you and your partner able to communicate well?

§What technology did you use to meet and communicate?

§How did you split up work? Did that work well?

§Share anything else you have to say

oYour successes and failures throughout this entire project

y
(x, y)
8 ft
х
12 ft
Figure for 6
6. Miniature Golf A golfer is trying to make a
hole-in-one on the miniature golf green shown. The golf
ball is at the point (2.5, 2) and the hole is at the point
(9.5, 2). The golfer wants to bank the ball off the side
wall of the green at the point (x, y). Find the coordinates
of the point (x, y). Then write an equation for the path of
the ball.
– What parent function does it look like you need to use to fit the shape in Figure
6?
– Share your ideas of how you will go about figuring out the equation. There are
multiple methods, so if you have more than one idea, share them all!