Properties of Linear Functions

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

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

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

Materials Needs Pencil Notebook Scissors Glue Passport Planner Whiteboard Marker Whiteboard

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

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

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

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

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

Sydney Harbor Bridge, Sydney, Australia

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

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

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

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

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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.

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

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

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 $13.50 $20.00 (6)(20) = (13.50)(x) 120 = 13.5x ____ 13.5 _____ 13.5 SC25 SC6 8.88 = x She could make 8 pies

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

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

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 13.29 gallons to drive 400 miles (30.1)(x) = (400)(1) 30.1x = 400 _____ 30.1 _____ 30.1 x = 13.29 gallons

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

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.

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