1 / 13

Slope of A Line

Make a Prediction:. What is the value of the slope of the line?. Slope. Slope of A Line. Amount of Gas Used (gallons). Distance Traveled (miles). Attend to Meaning:. What does the slope represent in this case?.

trula
Download Presentation

Slope of A Line

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Make a Prediction: What is the value of the slope of the line? Slope Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles)

  2. Attend to Meaning: What does the slope represent in this case? 0.05 gallons per mile refers to the gas consumption efficiency of the particular vehicle Slope Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles)

  3. Attend to Meaning: What do the numerator “2” and the denominator “40” represent? Slope Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles)

  4. Attend to Meaning: What do the numerator “2” and the denominator “40” represent? Slope Slope of A Line Amount of Gas Used (gallons) 2 3 40 1 60 20 Distance Traveled (miles)

  5. Attend to Meaning: In general, what does slope mean? Change in values (dependent variable) Slope Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable Slope of A Line Amount of Gas Used (gallons) 2 3 40 1 60 20 Distance Traveled (miles)

  6. True /False Question: Slope is essentially a “ratio as a measure”. Change in values (dependent variable) Slope Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable Slope of A Line Amount of Gas Used (gallons) 2 3 40 1 60 20 Distance Traveled (miles)

  7. True /False Question: Slope is a rate—invariant ratio. Change in values (dependent variable) Slope Change in values (independent variable) Rate of Change of dependent variable with respect to independent variable Slope of A Line Amount of Gas Used (gallons) Distance Traveled (miles)

  8. Make a Prediction: If we let the horizontal axis represents the amount of gas and the vertical axis represents the distance, what is the value of the slope of the new line? Slope = ? Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons)

  9. Make a Prediction: If we let the horizontal axis represents the amount of gas and the vertical axis represents the distance, what is the value of the slope of the new line? Slope Slope of A Line Distance Traveled (miles) Amount of Gas Used (gallons)

  10. Question: How are the slopes of these two lines related? Distance Traveled (miles) Slope of A Line Amount of Gas Used (gallons) Amount of Gas Used (gallons) Distance Traveled (miles)

  11. Question: How are the slopes of these two lines related? Distance Traveled (miles) Slope of A Line Amount of Gas Used (gallons) Slopeg-d = 0.05 Sloped-g = 20 One slope is the reciprocal of the other: Amount of Gas Used (gallons) Distance Traveled (miles)

  12. Make a prediction: What is the value of the product of the 2 slopes? Distance Traveled (miles) Slope of A Line Amount of Gas Used (gallons) Amount of Gas Used (gallons) Distance Traveled (miles)

  13. Make a prediction: What is the value of the product of the 2 slopes? Distance Traveled (miles) Slope of A Line Amount of Gas Used (gallons) Amount of Gas Used (gallons) Distance Traveled (miles)

More Related