2/8 Alg1: Absolute Value Function

Monday 2/8/21

Algebra 1

Morning Message

Good morning! I hope you had a great weekend after performing so well on your chapter 4 tests! :) We are starting Chapter 5 today, get excited! Make sure you've completed your do now, that is the start of the lesson.

Announcements:

I have office hours all week as of right now.

If you need to make up Friday's test, you can do so this Friday.

You have a 3-day weekend coming up :)

Complete all practice quizzes from Chapter 4 as makeup credit for any missing Quizizz assignment.

Student of the Month - January

We have a student of the month!

Agenda

• Learning Target

• Review of Do Now

• Key Features of the Absolute Value Function

• Debrief/Learning Target check-in

• Exit Ticket

Poll

Learning Target: I can identify key features of the absolute value function.

Rate your current state of understanding of the learning target.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

The Absolute Value Function

Open Ended

How far from the waterfall is Tanijah? Henry? E'Mohj?

Open Ended

How far from the waterfall is RahKee? Steph? Saad?

Here's the graph. Let's find the vertex, axis of symmetry, domain, and range!

Poll

The output of an absolute value function is positive.

• Always true

• Sometimes true

• Never true

Let's put our knowledge of absolute value functions to some use!

Here's a real-life example.

Taking a Boat Trip

Jay rides in a boat from his home to his friend’s home in a neighboring state.

The graph of the function 𝙙(𝙩) = 𝟯𝟬|𝙩−𝟭.𝟱|

 shows the distance of the boat in miles from the state line at t hours.

Assume the graph shows Jay's entire trip.

Multiple Choice

How far does Jay travel to visit his friend?

• 0 miles

• 3 miles

• 45 miles

• 90 miles

Multiple Choice

What is the domain of the graph? (For how many hours was Jay traveling?)

• 0 hours to 3 hours

• 0 hours to 2.5 hours

• 0 hours to 1.5 hours

• 0 hours to 4 hours

Multiple Choice

What is the range of the graph? (What is the furthest distance away from Jay's destination that he reaches?)

• 0 miles to 45 miles

• 0 miles to 90 miles

• 0 miles to 40 miles

• 0 miles to 3 miles

Debrief

• Key features of the absolute value function include the vertex, axis of symmetry, domain, and range.

• The axis of symmetry intersects the graph at the vertex, the center point of the graph.

• The domain is the set of all x-values and the range is the set of all y-values.

Poll

Learning Target: I can identify key features of the absolute value function.

Rate your current state of understanding of the learning target.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

Excellent work today! Move to Google Classroom and complete your exit ticket.

Enjoy the rest of your day! :)