Slope Between Two Points

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 Homework Laptop

Table of Contents Pg Title 18 Warm Up, Guided Practice 19 Slope Between Two Points 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

Warm-Up Write the symbolic representation based on the verbal representation A cab company charges a $5 boarding rate in addition to its meter, which is $3 for every mile. Write the symbolic representation, where C is the total charge and m is the number of miles driven.

Hobart, Tasmania, Australia

Learning Intention/Success Criteria LI: We are learning how find the slope between two points SC: I know how to 1. find m from a table, graph, or ordered pairs 2. understand how the slope formula relates to the numeric representation of functions 3. identify x and y and use the slope formula 4. substitute values into equations or expressions 5. interpret what slope means in context

Today’s Vocabulary Slope Formula: m = change in y change in x m = y2 – y1 x2 – x1

Vocabulary Revisited Slope: Indicates the steepness of a line Indicates if a line is tilted uphill or downhill Represented by the letter “m”

Example 1: Find the slope between two points: (3, -4) and (2, 5) SC3 x1 y1 x2 y2 m = y2 – y1 x2 – x1 SC4 m = 5 – - 4 2 – 3 m = 5 + 4 2 – 3 m = 9 -1 = - 9 SC1 SC2

Guided Practice 1 Find the slope between the two points: (-4, 2) and (-6, -8)

Guided Practice 1 Poll Find the slope between the two points: (-4, 2) and (-6, -8) A] 5 B] -5 C] 2 D] 1/5

Guided Practice 1 Answers Find the slope between the two points: (-4, 2) and (-6, -8) m = y2 – y1 x2 – x1 m = -8 – 2 -6 - - 4 m = -8 – 2 -6 + 4 m = -10 – 2 = 5

Guided Practice 2 Find the slope between the two points: (8, -3) and (0, -1)

Guided Practice 2 Poll Find the slope between the two points: (8, -3) and (0, -1) A] 1/3 B] -1/4 C] -3 D] -4

Guided Practice 2 Answers Find the slope between the two points: (8, -3) and (0, -1) m = y2 – y1 x2 – x1 m = -1 – -3 0 – 8 m = -1 + 3 0 – 8 m = 2 -8 = -1 4

Example 2: Find the slope between two points: (5, 4) and (5, 1) SC3 x1 y1 x2 y2 m = y2 – y1 x2 – x1 SC4 m = 1 – 4 5 – 5 m = - 3 0 m = undefined SC1

Collaboration! What things do you notice about the slope equation for things undefined slopes?

Guided Practice 3 Find the slope between the two points: (-6, 3) and (-7, 3)

Guided Practice 2 Poll Find the slope between the two points: (-6, 3) and (-7, 3) A] 4/3 B] 3/4 C] zero D] undefined

Guided Practice 2 Answers Find the slope between the two points: (-6, 3) and (-7, 3) m = y2 – y1 x2 – x1 m = 3 – 3 -7 – -6 m = 3 – 3 -7 + 6 m = 0 -1 = 0

Collaboration! What things do you notice about the slope equation for things undefined slopes?

Time (min) Distance (mi) Example 3a: The table shows the number of miles a plane traveled while in flight. Use the table to find the rate of change. Time (min) Distance (mi) 3 27.5 12 110 66 605 164 1503.4 x1 y1 x2 y2 SC3 m = y2 – y1 x2 – x1 m = 495 54 m = 9.17 m = 605 – 110 66 – 12 SC4 SC1

Example 3b: What does the slope mean in context? y x SC5 y x Miles Flown Minutes Flown 9.17 1 Miles Flown Minutes Flown The plane flew 9.17 miles every minute

Exit Note/Quiz Find the slope of the line passing through the points: 1. (2, 1) and (0, 1) 2. (2, 5) and (2, 8) 3. (4, 2) and (8, 4) 4. (-6, 2) and (0, -6) Go to: bit.ly/2Mes6HO for your exit note/quiz

Lamington Pavlova Tim Tam Passport Stamp Grade yourself with a passport stamp in Hobart. Which Australian dessert are you? Pick one and explain how it relates to your learning (you may have to look up what it is) Lamington Pavlova Tim Tam