Warm-Up

Let's play a Kahoot Game with 3 "ACT" warm-up questions.

-----------------------------------------

Hello!

Guinness Book of World Records is fascinating reading!  People do all sorts of things to get noted in this book.  Take a look at this video:

So, this video is from 2010.  How many gallons of coffee will this cup hold?

????????????

So, maybe some background information would be helpful.  The previous record had been just under 1000 gallons.  Today the current record is just a little more than 3750 gallons.  So now, I'd like you to estimate again.  We'll watch the video one more time.  Write your estimate for the number of gallons of coffee that one cup will hold on your white board.

---------------------------------------------

Now ... what information do you need to know to actually calculate how much coffee that cup will hold?

?????????????

-------------------------------------------

The Reveal and Lesson Connection

OK ... so according to the Guinness Book of World Records, that cup held ...... gallons of coffee!  Now ... how far from the actual number of gallons is your guess?  Let's look at our number line and as we get this data, let's enter it in Desmos:

What do you notice about our graph?

How might we find an equation for this graph?

Let's do just one line at a time ... what do we know about the red line below?

Red Line?

Slope:__ ________

Y-intercept: ___________

Equation of Line: ____________________

Domain: _______________

Range:________________

Now what about the green line?

Slope:__ ________

Y-intercept: ___________

Equation of Line: ____________________

Domain: _______________

Range:________________

What restriction would you need to put on the domain of the red line to make it match the data?

What restriction would you need to put on the domain of the green line to make it match the data?

How can we write an equation that matches the shape of our graph ... the "V" shape?

-----------------------------------------

Work with a partner to analyze and write absolute value functions for the given graphs.

Use the GoFormative link posted in our classroom.

Let's Reflect

Spend the next 2 minutes reflecting on today's lesson.

What are the key ideas from today's lesson?

Extension:  What are key attributes of the absolute value function?

--------------------

Homework

Access this handout online.  Work out the problems in your binder.