1. Properties of Linear Functions

2. Period 3 Seats
Kenya: Nathan, Justin, Harper, Raymond Switzerland: Akira, Abigail, Kaili South Korea: Nolen, Zairyn, Kaylen, Jaeden United Kingdom: Caitlin, Hannah, Sharlene Sweden: Mollie, Emma, Heidi

3. Period 2 Seats Kenya: Chason, Adam, Emily, Maile
Switzerland: AJ, Kaitlyn, Fred, Alexia Brazil: Riley, Kavyen, Pierre, Justin
South Korea: Makaelyn, Ioane, Kevin, Shiann
United Kingdom: Pam, Laury, Ariel
Sweden: Ryan, Jacob, Kailee, Kaley

4. Period 6 Seats Kenya: Vanessa, Christie, Taylor, Aymara
Switzerland: Camryn, Ryan, Jordan E Brazil: Jolie, Sage, Lauren
South Korea: Madison, Angelica, Katie, Jayda
United Kingdom: Audreanna, Mary, Raven, Brandon
Sweden: Jordan S, Dayne, Blaine

5. Materials Needs
Pencil
Notebook
Scissors
Glue
Passport
Planner
Whiteboard Marker
Whiteboard

6. Table of Contents Pg Title 14 KWL, Group Work, Guided Practice 15
Properties of Linear Function Notes

7. Period 3 Rules Keep things on your own desk Help your neighbors
Raise your hand to speak
No talking during tests
No cheating
Ask relevant questions
No phones
No throwing things
Be respectful to every person, place, and thing
Stay on task
No teasing
Be safe
Follow all written or verbal directions
Be responsible

8. Period 2 Rules Produce quality work No horseplay or running
Be respectful towards peers and teachers
Have fun
Help table mates
No cheating
Use appropriate voice levels
Communicate with others and allow for every ones voice to be heard
Raise your hand when you need to say something
Cooperate with others
Be ready for class
Keep the class clean
No gum
No throwing items
Do your work on time
No phones
Pay attention in class

9. Period 6 Rules Be respectful to everyone Keep your hands to yourself
No side comments
No horseplay
No throwing things
No phones or electronics
Raise your hand to be called on
Be kind
Collaborate with others
No talking when someone else is talking
No cheating
No excessive talking
Utlize your time responsibly
Offer help to others who need it
Follow directions
Come to class on time
No running
Use appropraite language
Pay attention
Ask questions

10. KWL Chart: Linear Functions
What I Know
What I Want to Know
What I Learned

11. Sydney Harbor Bridge, Sydney, Australia

12. Learning Intention/Success Criteria
LI: We are learning what makes linear functions unique. SC: I know how to -find patterns in tables to predict output values -explain how output values were found -graph linear functions from a table or equation -decide if a situation is linear or nonlinear -set up and solve proportions -multiply and divide integers and decimals -find the domain and range of functions

13. Today’s Vocabulary Non-Linear Function:
The equation of a function of a non straight line
Domain
The values of the independent variable for a function
The “x” values
Input values

14. Today’s Vocabulary Range
The values of the dependent variable for a function
The “y” or f(x) values
Output values

15. Vocabulary Revisited Linear Function:
The equation of a function representing a straight line

16. Group Work You and your partner(s) will be assigned a table complete
SC1, SC2
You and your partner(s) will be assigned a table complete
Fill out your table (and only your table) with your partner(s). Make sure you have an explanation as to how you filled in the rest of the table, and write that explanation at the bottom of the page.

17. Group Work
SC1, SC2
Now, you will be placed into different groups, with one person from each table. Share your answers and fill in the tables that are blank on your table.
When you finish, go back to your original seat.

18. Period 1 Groups (Partners)
Table A: Ezra & Philip Table B: Margaret & Ava Table C: Keanu & Pacey Table D: Maika & Riana Table E: Ayden & Callista Table F: Durham & Naomi
Table A: Challice & Kayla Table B: Keeley & Drew Table C: Aaron & Penelope Table D: Leon & Emily Table E: Ethan & Alia Table F: Caeli & Masik

19. Period 1 Large Group
Sweden: Ezra, Margaret, Keanu, Maika, Ayden, Durham South Korea: Philip, Ava, Pacey, Riana, Callista, Naomi Kenya: Challice, Keeley, Aaron, Leon, Ethan, Caeli Brazil: Kayla, Drew, Penelope, Emily, Alia, Masik

20. Period 2 Groups (Partners)
Table A: Adam & Justin Table B: Kaley & Emily Table C: Makaelyn & Riley Table D: Shiann & Fred Table E: Pierre & Alexia Table F: Laury & Kayven
Table A: Kevin & Jacob Table B: Ariel & Maile Table C: Kailee & Chason Table D: AJ & Ioane Table E: Ryan & Pam Table F: Masik

21. Period 2 Large Group
Sweden: Adam, Kaley, Makaelyn, Shiann, Pierre, Laury South Korea: Justin, Emily, Riley, Fred, Alexia, Kayven Kenya: Kevin, Ariel, Kailee, AJ, Ryan, Masik Brazil: Jacob, Maile, Chason, Ioane, Pam, Masik

22. Period 3 Groups (Partners)
Table A: Akira, Nolen, Jaeden Table B: Kaili, Justin, Hannah Table C: Raymond, Emma, Nathan Table D: Kaylen, Harper, Heidi Table E: Caitlin, Sharlene, Zairyn Table F: Abigail, Mollie, Esaiah

23. Period 3 Large Group
Sweden: Akira, Kaili, Raymond, Kaylen, Caitlin, Abigail South Korea: Nolen, Justin, Emma, Harper, Sharlene, Mollie Switzerland: Jaeden, Hannah, Nathan, Heidi, Zairyn, Esaiah

24. Period 4 Groups (Partners)
Table A: Gerric, Olivia, Kai, Ethan Table B: Tiffany, Elizabeth, Anthony, Caitlin Table C: Jamie, Kulani, Giada, Keirah Table D: Eliana, Brycen, Landee Table E: Spencer, Joshua, John Table F: Holly, Vincent, Maggie

25. Period 4 Large Group
Sweden: Gerric, Tiffany, Jamie, Eliana, Spencer, Holly South Korea: Olivia, Elizabeth, Kulani, Brycen, Joshua, Vincent Kenya: Kai, Anthony, Giada, Landee, John, Maggie Brazil: Caitlin, Keirah, Ethan, Masik

26. Period 5 Groups (Partners)
Table A: Amarie, Riley, Jayden Table B: Chazen, William, Axell Table C: Richard, Riannah, Billy Table D: Ciano, Eula Table E: Ian, Tresan Table F: Maya, Sincer

27. Period 5 Large Group
Sweden: Amarie, Chazen, Richard, Ciano, Ian, Maya South Korea: Riley, William, Riannah, Eula, Tresan, Sincer Switzerland: Jayden, Axell, Billy, Masik

28. Period 6 Groups (Partners)
Table A: Audreanna, Christie, Blaine, Ryan Table B: Raven, Jordan E, Taylor Table C: Camryn, Vanessa, Jolie, Mary Table D: Brandon, Madison, Jordan S Table E: Sage, Dayne, Angelica Table F: Katie, Aymara, Lauren

29. Period 6 Large Group
Sweden: Audreanna, Masik, Camryn, Brandon, Sage, Katie South Korea: Christie, Raven, Vanessa, Madison, Dayne, Aymara Kenya: Blaine, Jordan E, Jolie, Jordan S, Angelica, Lauren Brazil: Ryan, Taylor, Mary, Masik

30. Group Work
SC3
Graph Tables A, D, and E on the same coordinate plane on the back of your whiteboard.
What do you notice about the graphs/tables?

31. Example 1: This week at Island Naturals Health Food Store, organic apples are on sale for $1.50 per pound.
Complete the table: a represents the number of pounds of apples you purchase and P(a) represents the cost.
SC1 SC2 a
P(a) 1 2 3
$0.00
$1.50
$3.00
$4.50

32. The cost is a function of the number of pounds of apples you want to buy. Is the function linear or nonlinear? Why?
Linear
SC4
The cost per pound, a, stays the same no matter how many pounds of apples you purchase.

33. What is the domain and range of this function? Domain:
SC7
Positive Integers
Range:
Values greater than or equal to zero

34. An apple pie recipe calls for 1. 5 pounds of apples per pie
An apple pie recipe calls for 1.5 pounds of apples per pie. If you use this recipe to make six pies, what is the cost for the amount of apples you need to buy?
Total lbs needed
= (lbs)(pies)
= (1.5)(6)
= 9 pounds
Total cost
= (total lbs)($/lb)
= (9)(1.50)
= $13.50
SC5 SC6

35. Number of Pies Total Cost
You decide you want to spend at most $20 on apples. What is the maximum number of pies you could make?
Number of Pies Total Cost
6 pies = x pies $ $20.00
(6)(20) = (13.50)(x)
120 = x
____ 13.5
_____
SC25 SC6
8.88 = x
She could make 8 pies

36. Guided Practice 1a g D(g)
On average, your car gets 30.1 miles to each gallon of gas. Complete the table: g represents the number of gallons of gas and D(g) represents the average number of miles driven. g 1 2 3 4 5
D(g)
30.1
60.2
90.3
120.4
150.5

37. Guided Practice 1b
Is the average number of miles driven a linear or nonlinear function of the number of gallons of gas? Why?
Linear.
It tells you how many miles you can drive per gallon

38. Guided Practice 1c
How many gallons of gas must your car hold if you’d like to drive 400 miles between fill ups?
30.1 miles 1 gallon
= 400 miles x gallons
Your car must have gallons to drive 400 miles
(30.1)(x) = (400)(1)
30.1x = 400
_____ 30.1
_____ 30.1
x = gallons

39. Guided Practice 1d
On average, how many miles can you travel on seven gallons of gas?
(average miles)(gallons of gas)
(30.1)(7)
210.7 miles

40. KWL Finish the KWL chart you started earlier today.
As a table group, pick 2 L’s to add to the chart on the board.

41. Koala Kiwi Kangaroo Passport Stamp
Grade yourself with a passport stamp at the Sydney Harbor Bridge. Which Australian animal are you? Pick one and explain how it relates to your learning:
Koala
Kiwi
Kangaroo