Graphing 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 Homework

Table of Contents Pg Title 16 Warm Up, Foldable, Guided Practice 17 Graphing Linear Functions 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

Whip Around List the characteristics of liner functions

Bondi Beach, Sydney, Australia

Learning Intention/Success Criteria LI: We are learning how to graph linear equations SC: I know how to 1. approximate the slope of a linear function 2. distinguish/interpret between “m” and “b” in equations 3. understand what variables represent in word problems 4. graph x = c and know it’s not a function 5. graph y = c 6. graph in slope intercept form [f(x) = mx + b]

Vocabulary Revisited Slope: Indicates the steepness of a line Indicates if a line is tilted uphill or downhill Represented by the letter “m” Y-Intercept: The point at which the graph intercepts the y-axis Represented by the letter “b”

Fold the the construction paper hot dog style

Create four sections by folding or measuring

Yay! Water slide! Open the section we just worked on

This is just the top section! Positive Slope

This is just the bottom section! “m” is positive This is just the bottom section! Line goes upward from left to right when graphed As the value of x increases, the value of y increases Example: f(x) = 3x OR f(x) = 2x + 9

Yay! Water slide! OMG! Scary! Open the section we just worked on

This is just the top section! Negative Slope

This is just the bottom section! “m” is negative This is just the bottom section! Line goes downward from left to right when graphed As the value of x increases, the value of y decreases Example: f(x) = -3x OR f(x) = -2x + 9

Yay! Water slide! OMG! Scary! Boring! Open the section we just worked on

This is just the top section! Zero Slope SC6 Zero Slope

This is just the bottom section! “m” is zero This is just the bottom section! SC6 Line goes horizontal from left to right As the value of x increases, the value of y stays the same Example: f(x) = 3 OR f(x) = 0x - 4

Yay! Water slide! Ahhhh! OMG! Scary! Boring! Open the section we just worked on

This is just the top section! Undefined Slope SC4 Undefined Slope

This is just the bottom section! SC4 “m” doesn’t exist Line goes vertical from left to right The value of x stays the same and the value of y increases Not a function! Example: x = -3 OR x = 4

Example 1: State the slope and y-intercept from the equation Example 1: State the slope and y-intercept from the equation. Then, graph the equation g(x) = -3x + 2 SC2 SC1 SC6 Slope: y-intercept: -3/1 2 -3 1 1 -3

Guided Practice 1 State the slope and y-intercept. Then, graph the equation. Equation: d(r) = 2r – 7 3 Slope: y-intercept: 2 3 2/3 2 3 2 3 -7

Guided Practice 2 State the slope and y-intercept. Then, graph the equation. Equation: z(p) = -5p 4 Slope: y-intercept: -5 -5/4 4 -5 4

Example 2: Write the equation from the given graph SC6 SC1 Slope: Y-Intercept: Equation: 2 5 f(x) = 2x + 5

Guided Practice 3 Find the equation from the given graph Equation: Slope: Y-Intercept: p(x) = -5 -5

Guided Practice 4 Find the equation from the given graph Equation: Slope: Y-Intercept: x = -5 Doesn’t exist none

Jose will charge a base fee of $100 before working on the plumbing. Example 3: Jose the plumber charges $65 per hour to fix your plumbing. He uses the equation, C(h) = 65h + 100 to determine the charge of his services, C, after working h hours. What is the meaning of the y-intercept in context? The y-intercept is 100. SC2 SC3 Jose will charge a base fee of $100 before working on the plumbing.

Each hour Jose works, he charges $65. What is the meaning of the slope in context? The slope is 65. SC2 SC3 Each hour Jose works, he charges $65.

Soccer Cricket Rugby Passport Stamp Grade yourself with a passport stamp at Bondi Beach. Which Australian sport are you? Pick one and explain how it relates to your learning: Soccer Cricket Rugby