5.2.4 # 85 → 87 & Notes: Change of BaseTuesday, February 4, 2020 &Wednesday, February 5, 2020

Math 3DAY # 12

5

112/3

Inverses Exam ● Exam None

Investigating the family of log functions

● Practice● 5.2.3

Work on inverses practice

101/301/31

Investigating Logarithmic Functions

● Notes● 5.2.2 #63→65

91/281/29

Quiz Corrections

2

122/42/5

How can I transform a logarithmic function?

● 5.2.4 ● Notes Checkpoint #7

Choose 5

132/62/7

Properties of Logarithms

● Logs Prac. #1● 7.1.1 #1→5

Logs Practice

Prerequisites LEARNING PLAN #1 (Ch.1)Prerequisites TOOLKIT #1 (ch.1)

1-Variable Data TOOLKIT #2 (Ch.1)

1-Variable Data LEARNING PLAN #2 (Ch.1)

Calculator Instructions for Statistics

Transforming Parabolas (Ch.2)Averaging the x-intercepts (Ch.2)

Transformations TOOLKIT #3 (Ch.2)

Families of Functions Graphic Organizer (Ch.2)Ch. 2 Practice Quiz

Transformations LEARNING PLAN #3 (Ch.2)Solving Equations LEARNING PLAN #4 (Ch.3)Equations & Inequalities TOOLKIT #4/5 (Ch.3)Inequalities LEARNING PLAN #5 (Ch.3)

FINAL EXAM Study GuideInverses LEARNING PLAN #6 (Ch.5)Inverses TOOLKIT #6 (Ch.5)Exponentials TOOLKIT #7

Nothing new!

Logarithms LEARNING PLAN #8 (Ch.5 & 7)Logarithms TOOLKIT #8

6

Unit 6: Inverses, Unit 7: Exponentials & Unit 8: Logarithms

1 5.1.1 # 1→ 5 1/7 or 1/8

2 5.1.2 # 15→ 23 1/9 or 1/10

Nothing New!

3 Inverses Practice Packet 1/13

5.1.3 #40 → 434 1/14 or 1/15

Exponentials Practice Packet5 1/23 or 1/24

5.2.1 # 53 → 556 1/23 or 1/24

5.2.2 # 63 → 657 1/28 or 1/29

5.2.3 function investigation8 1/30 or 1/31

5.2.4 #85 → 879 2/4 or 2/5

7.1.1 #1 → 5

10

2/6 or 2/7

Logarithms Practice #1

11

2/6 or 2/7

5 Thursday/Friday 2/6 or 2/7

Logarithm Form: y = log3(x)

Exponential Form:

Make a table and a complete graph the function.

x

y

BONUS: graph y = log3(x + 4) without making a table.

⅓ -1

10

31

92

x = 3y

Announcements:● If you missed the Inverses Exam on Monday,

talk with Ms. Ramer ASAP to arrange for a make-up.

● Monday is a B-Day! No school next Friday.● Next Quiz is Weds/Thurs, February 12th/13th

Stamps! B-Page: 5/6C-Page: C2CW#9: 5.2.4 #85→87

Late work?● C-Page #1 or #2???

● C-Page #3???

Let’s look at what we did last class...

Turn to the bottom of the 2nd page.

CW#9

Think about the other functions we’ve learned about.... Parabolas: y = x2 → y = a(x - h)2 + k

Cubics: y = x3 → y = a(x - h)3 + k

Absolute Value: y = |x| → y = a|x - h| + k

Parabolas: y = x2 → y = a(x - h)2 + k

Cubics: y = x3 → y = a(x - h)3 + k

Absolute Value: y = |x| → y = a|x - h| + k

y = a · logb(x - h) + k

Vertical Stretch/Compression & Orientation

Horizontal Translation

Vertical Translation“Base” also affects Stretch /Compression & Orientation, but in a different way.

Desmos Tool:

Let’s try 87 b together:

h = 2Translated 2 units horizontally

It’s like shifting the axes over 2 units to the right. Graph the

parent function on “new” x-y axes

Parent is y = log (x) same as 10y = x

Asymptote x = 2

You need:● Pencil● Logarithms

Toolkit (G20)

19Bottom of 1st page.

10

log10(4)

102

log10100 = 2

(23)x = (25)(x-6) 23x = 2(5x - 30) → 3x = 5x - 30

Is equivalent to 2y = x

Top of 2nd page.

Take a few minutes to fill out the table and description with your team.

Is equivalent to 2y = x

-2 -1 0 1 2 4

logarithmicVertical @ x = 0

No symmetryx-int @ (1,0), no y-int

x > 0-∞ < y < ∞

You need:● Pencil● Calculator ● Toolkit● Logarithms

Practice #1

CW# 10

You need:● Pencil● Graphing

Calculator● 7.1.1 worksheet

11

Facilitators: Read aloud to get your team started. Discuss ideas before writing.

Logs are related to exponents.

For logb(a) = c:

b is the base, c is the exponent and a is what it’s all equal to.

The base is 10!→ when you use [log] button on calculator&→ when the base isn’t written

It’s the inverse of an exponential. (w/ a vertical asymptote)

y = a·log(x - h) + k

Move on to #2!

Recorder/Reporters: Check your team’s graphs.

Facilitators: Read aloud! Share ideas.

Task Manager: Keep an eye on the time.

Resource Manager: Everyone uses calculators.

Graphing form of a logarithm is similar to graphing for for the other families of functions because...

I can graph a log function more easily by…

The property of logs we learned about today was...

Choose one or two.

Clean up!!● Put classwork in binder● Pack up your stuff● Put away supplies & clean your area● Straighten desks

● Stay seated w/ backpack off until you’re dismissed