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Moving Straight Ahead Investigation 1.1 Walking Rates Learning Target: I can write an equation that represents the relationship between distance walked.

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Presentation on theme: "Moving Straight Ahead Investigation 1.1 Walking Rates Learning Target: I can write an equation that represents the relationship between distance walked."— Presentation transcript:

1 Moving Straight Ahead Investigation 1.1 Walking Rates Learning Target: I can write an equation that represents the relationship between distance walked and time. Homework: 1) Complete pg. 3 for MSA 1.1 2) Correct online with the Zaption Review video. Warm Up in packet: (Hint: Set up a proportion) a)Anaya walks 10 meters in 15 seconds. What is her walking rate in meters per second? b)Peter walks 40 meters in 1 minute. What is his walking rate in meters per second?

2 Warm Up: (Hint: Set up a proportion) a)Anaya walks 10 meters in 15 seconds. What is her walking rate in meters per second? a)Peter walks 40 meters in 1 minute. What is his walking rate in meters per second? 10 m. 15 sec. = X m. 1 sec. = 40 m. 1 min. = X m. 1 sec. = MSA 1.1: Walking Marathons – Finding and Using Rates

3 What is a linear relationship?

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6 If she walks 30 meters in 4 seconds. What is her walking rate in meters per second? 30 m. 4 sec. = X m. 1 sec. =

7 10 meters 8 seconds X meters 1 seconds Alex walk 1.25 meters per second. Alex walks 10 meters in 8 seconds. What is Alex’s walking rate in meters per second? 1.2 meters

8 Alex walks 1.2 meters per second. How long would it take Alex to walk 500 meters? time = distance ÷ walking rate t = 500 ÷ 1.2 t = 416.7 seconds How far would him walk in 30 seconds? distance = walking rate x time d = 1.2 x 30 sec. d = 36 meters time = distance walking rate 1.2 x 30 36.0 time = 500 1.2

9 Alex walks 1.2 meters per second. How far would him walk in 10 seconds? distance = walking rate x time d = 1.2 x 10 sec. d = 12 meters 1.2 x 10 12.0

10 Allen walks 1.2 meters per second. Write an equation to represent the distance d in meters that Alex could walk in t seconds if he maintained this pace. d = 1.2t How far would Alex walk in 1 hour? distance = walking rate x time d = 1.2 x 3600 sec. d = 4,320 meters the walking rate is in meters per second, so we must convert the time from 1 hour into seconds 1 hour = 60 min 60 sec = 3600 sec 1 min60 min Example: What is the constant of proportionality? 1.2

11 Use the equation to predict how far he would him walk in 45 seconds? d = 1.2t d = 1.2 (45) 54 = 1.2 (45) 54 meters 1.2 x 45 54.0

12 A.What is your walking rate in meters per second? Let’s find out!

13 B. Assume you continue to walk at this constant rate. 1.How long would it take you to walk 500 meters? 2.How far could you walk in 30 seconds? In 10 minutes? In 1 hour? A.What is your walking rate in meters per second? time = distance walking rate

14 3. Describe in words the distance in meters you could walk in a given number of seconds. 4. Write an equation that represents the distance d in meters that you could walk in t seconds if you maintain this pace. 5. Use the equation to predict the distance you would walk in 45 seconds.

15 Did I Reach My Learning Target? I can write an equation that represents the relationship between distance walked and time. Homework: 1) Complete pg. 3 for MSA 1.1 2) Correct online with the Zaption Review video.

16 MSA Exit Ticket #1: Julianne walks 1.5 meters per second. 1.How long would it take her to walk 300 meters? 2.How far would Julianne walk in 45 seconds? 3.Write an equation to represent the distance d in meters that Julianne could walk in t seconds if she maintained this pace. Challenge: How far would Julianne walk in 1⅔ hours?


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