Writing Equations and Graphing Review (In China!)

Materials Needs Pencil Notebook Scissors Glue Passport Planner Laptop

Table of Contents Pg Title 20 Vocab 21 22 Guided Practice, Scavenger Hunt 23 Writing Linear Equations Notes

Warm-Up Identify the slope and y-intercept of the following linear functions: f(x) = 3x – 1 r(x) = 2 – x y(x) = 1/3 x

Great Wall of China, Huairou, China

Learning Intention/Success Criteria LI: We are learning how to write equations using a point and a slope SC: I know how to 1. substitute numbers into equations 2. use the order of operations to solve 3. write equations in slope intercept form 4. identify m, x, y, and b values 5. solve multi step equations for a variable

Today’s Vocabulary Slope A number which is used to indicate the steepness of a line Indicates if the line is tilted uphill or downhill Indicated by the letter “m” Point The pair of numbers giving the location on the coordinate plane Written in the form: (x, y)

Today’s Vocabulary Y-Intercept The point at which the function crosses the y-axis Indicated by the letter “b” Slope Intercept Form A way of writing an equation with a slope and y-intercept Written: f(x) = mx + b

Example 1: Use slope-intercept form to write a linear equation m = 3 f(-1) = 2 y = mx + b SC4 m: x: y: 3 -1 2 SC1 2 = (3)(-1) + b SC2 SC5 2 = -3 + b + 3 + 3 _____________ 5 = b SC1 SC3 y = 3x + 5 x y

Guided Practice 1 Use slope-intercept form to write a linear equation g(x) has a slope of -4 and g(-1) = 3 A] g(x) = -4x – 1 B] g(x) = -4x + 3 C] g(x) = -4x + 1 D] g(x) = -4x – 3

Guided Practice 1 Use slope-intercept form to write a linear equation g(x) has a slope of -4 and g(-1) = 3 g(x) = mx + b 3 = (-4)(-1) + b 3 = 4 + b g(x) = -4x – 1 -4 _____________ -4 -1 = b

Guided Practice 2 Use slope-intercept form to write a linear equation h(x) has a slope of ½ and goes through (2, 3) A] h(x) = ½ x + 2 B] h(x) = ½ x + 3 C] h(x) = ½ x + ½ D] h(x) = ½ x

Guided Practice 1 Use slope-intercept form to write a linear equation h(x) has a slope of ½ and goes through (2, 3) h(x) = mx + b 3 = ( ½ )(2) + b 3 = 1 + b h(x) = ½ x + 2 -1 -1 _____________ 2 = b

Scavenger Hunt Groups—Period 1 Caeli, Challice, Ezra Callista, Keanu Ayden, Riana Ava, Keeley Naomi, Philip Ethan, Kayla Aaron, Leon Drew, Margaret Alia, Penelope Durham, Emily Maika, Pacey

Scavenger Hunt Groups—Period 2 AJ, Chason Ariel, Kayven, Makaelyn Justin, Maile Adam, Laury Jacob, Kaley Shiann, Pam Fred, Kevin Riley, Ryan Kaitlyn, Pierre Emily, Kailee Alexia, Ioane

Scavenger Hunt Groups—Period 3 Jaeden, Kaylen Esaiah, Hannah, Harper Emma, Zairyn Julianna, Nathan Kaili, Mollie Abigail, Raymond Heidi, Sharlene Caitlin, Nolen Akira, Justin

Scavenger Hunt Groups—Period 4 John, Olivia Maggie, Vincent Ethan, Holly Jamie, Kulani Eliana, Keirah Caitlin, Spencer Anthony, Giada Brycen, Kai, Elizabeth Joshua, Tiffany Gerric, Landee

Scavenger Hunt Groups—Period 5 Ian, Richard Amarie, Eula Axell, Ciano Billy, Jayden Chazen, Riannah, Tresan Maya, Sincer Riley, William

Scavenger Hunt Groups—Period 5 Jolie, Lauren Aymara, Raven Dayne, Jordan E Angelica, Madison, Taylor Brandon, Vanessa Camryn, Sage Jayna, Katie Christie, Ryan Audreanna, Jordan S Blaine, Mary

Passport Stamp As you’re standing at the Great Wall of China, grade yourself as a traditional Chinese Toy: A Kite, A Rattle-Drum, or a Top. Which one represents your learning today? Why?