Review Day 2Mr. Markwalter

What is this nonsensical blabber?!

First 15: Put a new concept on the board in the appropriate level of specificity

Last 15: Connect the ideas of the first groups

See my example As people add ideas,

copy down our map in your notes

NO TALKING

What Does Our Unit Look Like?

What else could we add?

Why did we put certain topics near the top?

How might these topics connect to our other units?

What topics were most difficult?

This list can be your study guide!

Unit 3 Concept Map

This is like a giant Entrance Ticket I will put a problem on the board

temporarily. You will probably want to copy the shorter

ones down to study later Plus I will only leave the question up shortly

so you can go back Answer the question in your notebook We will then look at the answer for each one Excellence points to the highest scorers.

Review Time

We will go topic by topic Topic is at the top That’s why it’s a TOPic.

Review Time

Determine if the given function is a polynomial. If it is, name the degree.

y=3x3-2x-2+3

Polynomials

Determine if the given function is a polynomial. If it is, name the degree.

y=3x3-2x-2+3

NOT A POLYNOMIAL

Polynomials

Determine if the given function is a polynomial. If it is, name the degree.

y=3x7-12x2+3

Polynomials

Determine if the given function is a polynomial. If it is, name the degree.

y=3x7-12x2+3

POLYNOMIAL OF DEGREE 7

Polynomials

The rate of change for a linear function is:

a. Constantb. Increasingc. Decreasingd. Changing

Lines and Rate of Change

The rate of change for a linear function is:

a. Constantb. Increasingc. Decreasingd. Changing

Lines and Rate of Change

s(x) is a linear function. s(3)=1 and s(2)=4. What is the equation for s(x)?

Linear Modeling

s(x)=-3x+10

Linear Modeling

Aang wants to go penguin sledding. He finds a penguin and slides down a slope at 5 meters per second. The slope is 21 meters long. Aang has already gone down 6 meters. Ignore the force of gravity on this incline (aka there’s no acceleration).◦ This question looks long, but I promise it’s not that bad.◦ Write a model to help you determine how much farther

Aang will go after t seconds.◦ How many meters will Aang have gone after 2 seconds?◦ How long will it take Aang to reach the bottom of the

slope?

Linear Modeling

1. P(t)=5x+6 2. 16 meters 3. 3 seconds*Don’t forget units, yo! That stuff is

important!!

Linear Modeling

Patrick likes to drive around in his boatmobile at 50 mph. He wakes up one morning craving a krabby patty. In order to get one, he must drive to the Krusty Krab, which is 20 miles away from his house. He’s already driven 5 miles. How much longer will it take Patrick to reach the Krusty Krab?

Linear Modeling

12 minutes

Linear Modeling

Convert the following function into vertex form:

y=2x2+10x-2

Quadratic Functions

Convert the following function into vertex form:

y=2x2+10x-2

Quadratic Functions

I shoot a cannonball cat at Ms. Cuenca’s classroom hoping to disrupt her English class. If height of the cat over time can be described by H(t)=-5t2+35t+10 where t is in seconds.

At what time does the cat hit the ground?

Quadratic Modeling

At what time does the cat hit the ground?

Quadratic Functions

Calculate the value of the following logarithms

log2(32) log3(1/9) log4(1)

Logarithms

Calculate the value of the following logarithms

log2(32)=5 log3(1/9)=-2 log4(1)=0

Logarithms

I invest in a risky business endeavor that promises a 20% yearly return on my $2000 invest. Additionally, they tell me that the interest compounds continuously.

How much would I earn after 6 years if all goes according to plan?

Exponential Modeling

How much would I earn after 5 years if all goes according to plan?

A=2000e

Exponential Modeling

A sample of uranium has a half life of 300 days. I start out with 900 grams of it. How long will it take until I have only 200 grams left?

Exponential Modeling

A sample of uranium has a half life of 300 days. I start out with 900 grams of it. How long will it take until I have only 200 grams left?

Exponential Modeling

Which ends up growing fastest (generally speaking)?

a. Linear functionsb. Quadratic functionsc. Exponential Functions

Comparing Functions

Which ends up growing fastest (generally speaking)?

a. Linear functionsb. Quadratic functionsc. Exponential Functions

Comparing Functions

I take an icepack out of my freezer and put it on my counter. Its temperature increases by 15% every ten minutes.

What kind of model would be most appropriate for this situation. WHY?

Select the Appropriate Model

What kind of model would be most appropriate for this situation. WHY?

An exponential model because we have a value increasing by a common factor (percentage).

Select the Appropriate Model

The cost function for a company is c(x)=20x-80. The revenue function is r(x)=30x2+50x+20 where x is the number of items sold.

Write a model for the profit function of this company.

What is the maximum profit the company can make?

Select the Appropriate Model

Write a model for the profit function of this company.

What is the maximum profit the company can make?

Select the Appropriate Model

I take out a loan for college. I borrow $100,000. I have to pay back $5000 per year. How many years will it take me before I pay off 70% of my loan?

Select the Appropriate Model

I take out a loan for college. I borrow $100,000. I have to pay back $5000 per year. How many years will it take me before I pay off 70% of my loan?

Select the Appropriate Model

Solve the following equations for x

9=2x

3(7x) -3=12

Logarithms

Solve the following equations for x

9=2x

x=log2(9)

3(7x) -3=12 x=log7(5)

Logarithms

Find the vertex form of the following equation: y=-4x2+12x-20

Quadratic Functions

Find the vertex form of the following equation: y=-4x2+12x-20

Quadratic Functions

What is the average rate of change for the line y=-4x-9?

Rate of Change

What is the average rate of change for the line y=-4x-9?

Average Rate of Change:-4

Rate of Change

I buy a nice car for $300,000. It’s value depreciates by 10% each year. How long will it be until the car is worth $100,000?

Select the Appropriate Model

I buy a nice car for $300,000. It’s value depreciates by 10% each year. How long will it be until the car is worth $100,000?

Select the Appropriate Model

I kick a football. It barely makes it over my house at its highest point (32 feet). It lands 20 feet from the peak height. Write a function to model this situation.

Select the Appropriate Model

I kick a football. It barely makes it over my house at its highest point (32 feet). It lands 20 feet from the peak height. Write a function to model this situation.

Select the Appropriate Model

I put $3000 in a bank that compounds its 1% interest 12 times per year. How long will it take for my money to grow to $4000?

Select the Appropriate Model

I put $3000 in a bank that compounds its 1% interest 12 times per year. How long will it take for my money to grow to $4000?

Select the Appropriate Model