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Algebra II

Algebra II. Mr Swenson, Rancho Alamitos Room 213. Introduction Card. Front. Name Home School E-mail Address List one reason you hate math and three ways you use it!. Book number and barcode list what is wrong with the book. Back. About me. My boy!. My boy!. Daily Schedule.

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Algebra II

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  1. Algebra II • Mr Swenson, Rancho Alamitos • Room 213

  2. Introduction Card Front • Name • Home School • E-mail Address • List one reason you hate math and three ways you use it! • Book number and barcode • list what is wrong with the book Back

  3. About me...

  4. My boy!

  5. My boy!

  6. Daily Schedule • Period 1: 8.00a - 10.05a • Break: 10.05a - 10.25a • Period 2 : 10.25a - 12.30a

  7. Golden Rule Do unto others as you would have them do unto you

  8. Expectations and Guidelines • Students are expected to be on time and ready to work. Excessive tardiness will NOT be tolerated and may result in a drop. • If an absence pattern presents itself, student may be dropped. • Students are expected to be alert and participating. Students found sleeping will be warned, then potentially dropped

  9. Expectations and Guidelines • The only hats allowed are those with home school (RAHS, GGHS, Pacifica, etc). All other head paraphernalia will be confiscated upon 2nd offense. Parent must pick them up. NO HOODS. • If an absence pattern presents itself, student may be dropped.

  10. Expectations and Guidelines • All music devices will be confiscated (on or off), if seen. Mobile phones must be OFF while on campus. • No food, gum or drinks. ONLY WATER.

  11. Grading • Homework: 10% • Tests: 70% • Final: 20% • Notebooks are due the morning after a test, unless test is at beginning of day.

  12. What you need daily • pencil • notebook with paper • scientific calculator • comfortable clothing • smile :)

  13. Stndrd 12 8.1 Exponential Growth • Goal 1: Graph exponential growth functions. • Goal 2: Use exponential growth functions to model real-life examples.

  14. Where is this used? Interest and bank accounts Estimating population growth Estimating debt Goal 1: Graph exponential growth functions

  15. Key Terms involves the expression exponential function: where b is the base and Goal 1: Graph exponential growth functions

  16. Graphing Functions 1. Make a table of values 2. Plot the points Goal 1: Graph exponential growth functions

  17. Practice Evaluating Goal 1: Graph exponential growth functions

  18. White boards Evaluate the given functions. Goal 1: Graph exponential growth functions

  19. Graph the function range: y > 0 domain: all real #s Goal 1: Graph exponential growth functions

  20. Investigating Graphs Graph each of the functions with a calculator. How does the coefficient change the graph? Goal 1: Graph exponential growth functions

  21. Investigating Graphs Graph each of the functions with a calculator. How does the coefficient change the graph? Goal 1: Graph exponential growth functions

  22. Key Terms exponential growth function: involves the expression where b is the base, asymptote: a line that a graph approaches as you move away from the origin Goal 1: Graph exponential growth functions

  23. Exponential Growth Models When a real-life quantity (e.g. computer chips) increases by fixed percent each time period, the amount y of the quantity after t time periods is: growth factor Goal 2: Use exponential growth functions to model real-life examples.

  24. Exponential Growth In 1980 about 2,180,000 US workers worked at home. During the next ten years the number of workers working at home increased 5% per year. a. Write a model giving the number w (in millions) of workers working at home t years after 1980. Goal 2: Use exponential growth functions to model real-life examples.

  25. Continued... b. Graph the model. Goal 2: Use exponential growth functions to model real-life examples.

  26. Continued... b. Use the graph to estimate what year when there were 3.22 million workers working at home. about 1988 Goal 2: Use exponential growth functions to model real-life examples.

  27. p470 (49-51) In 1980 wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increased by about 59% per year. 49. Write a model giving the amount E (in gigawatt-hours) of energy t years after 1980. About how much wind energy was generated in 1984? Goal 2: Use exponential growth functions to model real-life examples.

  28. p470 (49-51) 50. Graph the model (with calculator). 51. Estimate the year when 80 g-hrs of energy were generated. about 1986 6 Goal 2: Use exponential growth functions to model real-life examples.

  29. Compound interest Amount you have after t years when you deposit P dollars into an account with rannual interestcompounded n times. Goal 2: Use exponential growth functions to model real-life examples.

  30. Compound Interest Example You deposit $1000 in an account that pays 8% annual interest. Find the balance after one year if the interest is compounded with the given frequency. n=365 n=4 n=1 a. annually b. quarterly c. daily Goal 2: Use exponential growth functions to model real-life examples.

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