5.2.4 # 85 → 87 Tuesday, February 4, 2020 &Wednesday, February 5, 2020

Math 3DAY # 12

5

112/3

Inverses Exam ● Exam None

4

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 Checkpoint #7 Choose 5

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

5 Tuesday/Wednesday 2/4 or 2/5

Family →

Graphing form →

End point (h,k) →

Another point on the curve (x,y) →

(2,1)(-1,-1)

(-2,-3)

Square root

y = a·√(x - h) + k

(-2,-3)

(2,1)

y = a·√(x - (-2)) + (-3)

1 = a·√(2 + 2) - 3

a = 2 y = 2·√(x + 2) - 3

New B-Page!!

Stamps! B-Page: 5/6C-Page: C2 Late work?

● C-Page #1 or #2???

● C-Page #3???

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

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

● If you didn’t already… turn in C-page #1 and B-page.

Choosing classes for next year...If you earn a C or Better in Math 3, it’s recommended that you go on to:

“IB Math 1/Precalc” OR “AP Statistics” (Not sure what it’s

gonna be called yet)

“IB Math 1/Precalc”● A 2-year class (but you can

take just year 1)● A mix of topics:

○ More algebra○ More trigonometry○ Basic Calculus○ A bit of statistics○ Some History of Math

● Required for the IB Diploma

This class will build on what we’ve learned in Math 3 and go deeper into algebra, trig, etc. Some stats, lots of abstract stuff too. Best choice if you want to take ≥ 2 more years of math OR want to major in Math, Physics, Science, or Engineering.

“AP Statistics”● A 1-year class ● In-depth Statistics

○ What are the odds?○ How to determine

cause & effect○ Learn to interpret

stats in politics & news

○ Understand results of scientific experiments

This class will not use more complicated calculations, but you will need to apply those calculations to complex situations and interpret what the results mean.

You will read and write more than other math classes. Great choice if you want to major in Humanities, Law, History, Psychology, or Science.

Consider:1. Your interests 2. Your college goals3. What style of math you prefer4. How many years you have left in HS

* If you’re in 9th grade, I recommend you take IB next year...You’ll have time for both IB’s and Stats.

You need:● Pencil● Graphing

Calculator● 5.2.4 worksheet

9

m = logb(n) bm = n is equivalent

to

Recorder/Reporters: Encourage teammates to record the values they find, so you have more info to work with.

Facilitators: ask teammates to share their ideas and explain.

Everyone: ask “how can we be sure that’s correct?”

Check in with Ms. Ramer when you finish PG 1.

You need a computer for PG 2.

How can we use parameters a, h, and k, to generalize the equation of a log function?

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.

Put the computers away!

Move on to PG 3.

I learned that I can assume the base of the lot is 10 when… and when…

Some of the characteristics of logarithm graphs I noticed are… I realized how important it is to rewrite in exponential form, for example, y = log10 x is the same as...

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