Welcome Accelerated Algebra 2!

Transcription

1 Welcome Accelerated Algebra 2! Tear-Out: Pgs (classwork) Pg. 355 (homework) U5H6: Pg. 355 #7-9, 11-12,14-16, Updates: U5Q2 will be January 30 th U5T will be February 6 th

2 Agenda (1) Warm-Up! (2) Review U5H6 (3) Logarithms(22-2/22-3/22-4) (4) Exit Ticket (5) Return U5Q1

3 Warm-Up! Is the function increasing or decreasing? Explain. Describe the transformations from the parent. Graph and plot 3 specizic points. What is the horizontal asymptote? Identify the domain and range in interval notation. y = 4(2/3) x + 2

4 Review U5H6 U5H5: Pg. 342 #11-13, 15, 16(parent in dif. Color), 19-22

5 Notebook! I will leave one page blank for my next set of SB notes. Today s Lesson #: 22-2, 22-3, 22-4 Topic: Logarithms and Their Properties LO#7: Simplifying logarithmic expressions and equations.

6 21-5 Natural Base Exponential Function 2 x = 512 You could solve this problem without a graphing calculator by using the inverse of an exponential function. This operation is called Zinding the logarithm!

7 21-5 Natural Base Exponential Function Logarithm o The inverse of an exponential function. (It undoes an exponential function) o log b a = x is read as the log base b of a is x. o You can write an exponential equation as a logarithmic equation and vice versa.

8 21-5 Natural Base Exponential Function I will show you a trick to converting from log to exponential and vice versa!

9 21-5 Natural Base Exponential Function Whiteboards!

10 21-5 Natural Base Exponential Function Whiteboards!

11 21-5 Natural Base Exponential Function Common Logarithm o A logarithm with base 10 is called a common logarithm. If no base is written for a logarithm, the base is assumed to be 10. For example, log 5 = log 10 5.

12 21-5 Natural Base Exponential Function Pg. 349 Do #3-4 in your groups.

13 21-5 Natural Base Exponential Function Whiteboards! Evaluate the expression log 7 (1/49). **Hint** Try setting log 7 (1/49) = x

14 21-5 Natural Base Exponential Function Pg. 349 Do #5 in your groups.

15 WAR Who has played the card game war? This is a two player game, but we are going to play on teams. Vertical partners are a team. Every group will receive a deck of logarithm expressions. You will randomly split up the deck amongst the vertical teams. You can shufzle your cards in the beginning if you like, but once the game begins you must always take the Zirst card in your deck and play it. The player with the highest evaluated expression takes all the cards played.

16 21-5 Natural Base Exponential Function For example: MAYA s card: log 3 (1/3) SAMMY s card: log 4 (16) CHESTER s card: log 5 1 Who would win?

17 22-3 Properties of Logarithms Pg. 350 Find the LOG button on your calculator. Complete the table in #2, then do #3. (4 mins)

18 22-3 Properties of Logarithms Pg. 351 Answer #4(a-b) independently. (1 min)

19 22-3 Properties of Logarithms Pg. 350 In the my Notes column (next to #3) do the following using your data in #2: Log 9 log 3 = Log 10 log 2 = Then Zinish the rule: log m log n =

20 22-3 Properties of Logarithms Product Property o log(mn) = log m + log n Properties of Logarithms Quotient Property o log(m/n) = log m - log n

21 22-3 Properties of Logarithms Pg. 352 Complete #15(a-d).

22 22-3 Properties of Logarithms Pg. 352 We will do #17 together. Do #18-19 with your tablemates. (2 mins)

23 22-3 Properties of Logarithms What if we had log 2 3. Attempt to expand it and Zinish the property log(m n ) = Power Property o log(m n ) = n log m

24 22-3 Properties of Logarithms Pg. 354 Attempt #7-9 with your tablemates.

25 22-3 Properties of Logarithms Find another person in the room with the same hair color as you and answer the following question: Find another person in the room with the same shirt color as you and answer the following question:

26 22-3 Properties of Logarithms Pg. 354 Do #12-17 independently. (3 mins) Staple pgs into your notebook!

27 Exit Ticket #6 Rewrite as a single logarithm and evaluate. No Calculator this time. J 3 log 5 + (log 2 log 250)

28 U5Q1 Take the next 10 minutes to make corrections with your tablemates. If think your corrections are complete raise your hand and I will check it and then stamp it if it is done! A stamp will tell me you got a 5/5 on quiz corrections.

29 EA#2 Whether or Not Tear-Out: Pg. 357 Take out a separate sheet of binder paper and title it: EA#2 Whether or Not You will turn this in for points; show all work! You will have the next 15 minutes to complete the EA if you Zinish start your homework. We will review the solutions after the 15 minutes.