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Logarithmic Functions Mr. Markwalter
24

Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Jan 12, 2016

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Page 1: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

LogarithmicFunctions

Mr. Markwalter

Page 2: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

LogarithmicFunctions

Mr. Markwalter

It’s a log jam…

Page 3: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Homecoming

Page 4: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Shh. What’s that?

Page 5: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Cute Baby Foxes!

Page 6: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Also

Quiz!

Page 7: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

15 minute maximum.All desks clear.Silence until I have all quizzes back in.

Quiz

Page 8: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Today’s Topic

AAAAAplicationsOf logarithms.

Page 9: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

In 2001, there was an earthquake in Gujarat India. It measured 7.9 on the Richter scale.

Earthquakes

Page 10: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

In 1999, there was an earthquake in Athens, Greece. It measured 5.9 on the Richter scale.

Earthquakes

Page 11: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

In 2001, there was an earthquake in Gujarat India. It measured 7.9 on the Richter scale. In 1999, there was an earthquake in Athens, Greece. It measured 5.9 on the Richter scale. How many times more severe was the 2001 earthquake than the one in Athens?

Earthquakes.

Page 12: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

a=amplitude in micrometersT= the period (don’t worry about this)B accounts for the weakening of the wave

What is amplitude?

Let’s see how the Richter scale works.

Page 13: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Amplitude measures the severity.Let’s call the amplitude of the Gujarat

earthquake a1 and the Athens earthquake a2.

We want a1/a2

Earthquake!

Page 14: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Let’s start with this…

Earthquaker!

Page 15: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

a1/a2=100

The Gujarat earthquake was 100 times more severe.

The difference in Richter number was 2.102=100

Coincidence? Let’ let Bill explain.

Earthquaker!

Page 16: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Bill Nye

Page 17: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Acidity!

Page 18: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

The measure of the concentration of hydrogen ions (in moles per liter).

Acidity

Psst. A mole is unit, or have you heard?

Page 19: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

pH=-log(H+)

H+ = the hydrogen ion concentration More acidic= higher concentration= lower

pH

Acidity

Page 20: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Some vinegar has a pH of 2.4. Some baking soda has a pH of 8.4

What are the hydrogen ion concentrations? How many times greater is the hydrogen ion

concentration of the vinegar than the baking soda?

Acidity

Page 21: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

A pretty strong acid has a pH of 1.8 while a base has a pH of 9.8.

What are the hydrogen ion concentrations? How many times greater is the hydrogen ion

concentration of the acid than the base?

One more test

Page 22: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Option A: I want to start out slow and work my way up.

Option B: I feel pretty comfortable with this and am ready to try more.

15 minutes of practice. 5 minutes of review.

Worksheet

Page 23: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

An earthquake in Peru was 10000 times more severe than an Earthquake in China. If the earthquake in China scored 2.5 on the Richter scale, what was the score of the Peru earthquake?

Challenge

Page 24: Mr. Markwalter. It’s a log jam… Quiz! 15 minute maximum. All desks clear. Silence until I have all quizzes back in.

Unit 3 Test Corrections Due TODAY

Test Wednesday Also, the

Benchmark Homework

Saturday Help?

Don’t Forget!