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Review Day 2

Review Day 2. Mr. Markwalter. What is this nonsensical blabber?!. What Does Our Unit Look Like?. First 15: Put a new concept on the board in the appropriate level of specificity Last 15: Connect the ideas of the first groups See my example

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Review Day 2

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  1. Review Day 2 Mr. Markwalter What is this nonsensical blabber?!

  2. What Does Our Unit Look Like? • First 15: Put a new concept on the board in the appropriate level of specificity • Last 15: Connect the ideas of the first groups • See my example • As people add ideas, copy down our map in your notes • NO TALKING

  3. Unit 3 Concept Map • What else could we add? • Why did we put certain topics near the top? • How might these topics connect to our other units? • What topics were most difficult? • This list can be your study guide!

  4. Review Time • This is like a giant Entrance Ticket • I will put a problem on the board temporarily. • You will probably want to copy the shorter ones down to study later • Plus I will only leave the question up shortly so you can go back • Answer the question in your notebook • We will then look at the answer for each one • Excellence points to the highest scorers.

  5. Review Time • We will go topic by topic • Topic is at the top • That’s why it’s a TOPic.

  6. Polynomials • Determine if the given function is a polynomial. If it is, name the degree. • y=3x3-2x-2+3

  7. Polynomials • Determine if the given function is a polynomial. If it is, name the degree. • y=3x3-2x-2+3 • NOT A POLYNOMIAL

  8. Polynomials • Determine if the given function is a polynomial. If it is, name the degree. • y=3x7-12x2+3

  9. Polynomials • Determine if the given function is a polynomial. If it is, name the degree. • y=3x7-12x2+3 • POLYNOMIAL OF DEGREE 7

  10. Lines and Rate of Change • The rate of change for a linear function is: • Constant • Increasing • Decreasing • Changing

  11. Lines and Rate of Change • The rate of change for a linear function is: • Constant • Increasing • Decreasing • Changing

  12. Linear Modeling • s(x) is a linear function. s(3)=1 and s(2)=4. What is the equation for s(x)?

  13. Linear Modeling • s(x)=-3x+10

  14. Linear Modeling • Aang wants to go penguin sledding. He finds a penguin and slides down a slope at 5 meters per second. The slope is 21 meters long. Aang has already gone down 6 meters. Ignore the force of gravity on this incline (aka there’s no acceleration). • This question looks long, but I promise it’s not that bad. • Write a model to help you determine how much farther Aang will go after t seconds. • How many meters will Aang have gone after 2 seconds? • How long will it take Aang to reach the bottom of the slope?

  15. Linear Modeling • 1. P(t)=5x+6 • 2. 16 meters • 3. 3 seconds *Don’t forget units, yo! That stuff is important!!

  16. Linear Modeling • Patrick likes to drive around in his boatmobile at 50 mph. He wakes up one morning craving a krabby patty. In order to get one, he must drive to the KrustyKrab, which is 20 miles away from his house. He’s already driven 5 miles.How much longer will it take Patrick to reach the KrustyKrab?

  17. Linear Modeling • 12 minutes

  18. Quadratic Functions • Convert the following function into vertex form: • y=2x2+10x-2

  19. Quadratic Functions • Convert the following function into vertex form: • y=2x2+10x-2

  20. Quadratic Modeling • I shoot a cannonball cat at Ms. Cuenca’s classroom hoping to disrupt her English class. If height of the cat over time can be described by H(t)=-5t2+35t+10 where t is in seconds. • At what time does the cat hit the ground?

  21. Quadratic Functions • At what time does the cat hit the ground?

  22. Logarithms • Calculate the value of the following logarithms • log2(32) • log3(1/9) • log4(1)

  23. Logarithms • Calculate the value of the following logarithms • log2(32)=5 • log3(1/9)=-2 • log4(1)=0

  24. Exponential Modeling • I invest in a risky business endeavor that promises a 20% yearly return on my $2000 invest. Additionally, they tell me that the interest compounds continuously. • How much would I earn after 6 years if all goes according to plan?

  25. Exponential Modeling • How much would I earn after 5 years if all goes according to plan? • A=2000e

  26. Exponential Modeling • A sample of uranium has a half life of 300 days. I start out with 900 grams of it. How long will it take until I have only 200 grams left?

  27. Exponential Modeling • A sample of uranium has a half life of 300 days. I start out with 900 grams of it. How long will it take until I have only 200 grams left?

  28. Comparing Functions • Which ends up growing fastest (generally speaking)? • Linear functions • Quadratic functions • Exponential Functions

  29. Comparing Functions • Which ends up growing fastest (generally speaking)? • Linear functions • Quadratic functions • Exponential Functions

  30. Select the Appropriate Model • I take an icepack out of my freezer and put it on my counter. Its temperature increases by 15% every ten minutes. • What kind of model would be most appropriate for this situation. WHY?

  31. Select the Appropriate Model • What kind of model would be most appropriate for this situation. WHY? • An exponential model because we have a value increasing by a common factor (percentage).

  32. Select the Appropriate Model • The cost function for a company is c(x)=20x-80. The revenue function is r(x)=30x2+50x+20 where x is the number of items sold. • Write a model for the profit function of this company. • What is the maximum profit the company can make?

  33. Select the Appropriate Model • Write a model for the profit function of this company. • What is the maximum profit the company can make?

  34. Select the Appropriate Model • I take out a loan for college. I borrow $100,000. I have to pay back $5000 per year. How many years will it take me before I pay off 70% of my loan?

  35. Select the Appropriate Model • I take out a loan for college. I borrow $100,000. I have to pay back $5000 per year. How many years will it take me before I pay off 70% of my loan?

  36. Logarithms • Solve the following equations for x • 9=2x • 3(7x) -3=12

  37. Logarithms • Solve the following equations for x • 9=2x • x=log2(9) • 3(7x) -3=12 • x=log7(5)

  38. Quadratic Functions • Find the vertex form of the following equation: y=-4x2+12x-20

  39. Quadratic Functions • Find the vertex form of the following equation: y=-4x2+12x-20

  40. Rate of Change • What is the average rate of change for the line y=-4x-9?

  41. Rate of Change • What is the average rate of change for the line y=-4x-9? • Average Rate of Change:-4

  42. Select the Appropriate Model • I buy a nice car for $300,000. It’s value depreciates by 10% each year. How long will it be until the car is worth $100,000?

  43. Select the Appropriate Model • I buy a nice car for $300,000. It’s value depreciates by 10% each year. How long will it be until the car is worth $100,000?

  44. Select the Appropriate Model • I kick a football. It barely makes it over my house at its highest point (32 feet). It lands 20 feet from the peak height. Write a function to model this situation.

  45. Select the Appropriate Model • I kick a football. It barely makes it over my house at its highest point (32 feet). It lands 20 feet from the peak height. Write a function to model this situation.

  46. Select the Appropriate Model • I put $3000 in a bank that compounds its 1% interest 12 times per year. How long will it take for my money to grow to $4000?

  47. Select the Appropriate Model • I put $3000 in a bank that compounds its 1% interest 12 times per year. How long will it take for my money to grow to $4000?

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