Rate of Change Presentation

tables and graphs showing rate of change

rate of changeproportion
1.0x

Rate of Change Presentation

Created 3 years ago

Duration 0:10:07
lesson view count 109
tables and graphs showing rate of change
Select the file type you wish to download
Slide Content
  1. Rate of Change

    Slide 1 - Rate of Change

  2. What is rate of change?

    Slide 2 - What is rate of change?

    • how quickly something changes
    • Describes how one quantity changes in relation to another
    • Usually written as a unit rate
  3. Age (yr)

    Slide 3 - Age (yr)

    • 9
    • 12
    • Height (in)
    • 53
    • 59
    • Stephanie’s height
  4. Age (yr)

    Slide 4 - Age (yr)

    • 9
    • 12
    • Height (in)
    • 53
    • 59
    • Age (yr)
    • 9
    • 12
    • Height (in)
    • 53
    • 59
  5. Age (yr)

    Slide 5 - Age (yr)

    • 9
    • 12
    • Height (in)
    • 53
    • 59
  6. Age (yr)

    Slide 6 - Age (yr)

    • 9
    • 12
    • Height (in)
    • 53
    • 59
  7. Number

    Slide 7 - Number

    • Money ($)
    • 5
    • 40
    • 10
    • 80
    • 15
    • 120
    • 20
    • 160
    • The table shows the amount of money a Booster Club made washing cars for a fundraiser. Use the information to find the rate of change in dollars per car.
  8. You try!

    Slide 8 - You try!

    • The table shows the number of miles a plane traveled while in flight. Use the information to find the approximate rate of change in miles per minute.
    • Time (min)
    • 30
    • 60
    • 90
    • 120
    • Distance (mi)
    • 290
    • 580
    • 870
    • 1,160
  9. You try!

    Slide 9 - You try!

    • The table shows the number of miles a plane traveled while in flight. Use the information to find the approximate rate of change in miles per minute.
    • Time (min)
    • 30
    • 60
    • 90
    • 120
    • Distance (mi)
    • 290
    • 580
    • 870
    • 1,160
  10. Rate of change using a graph

    Slide 10 - Rate of change using a graph

  11. CSOs addressed

    Slide 13 - CSOs addressed

    • M.7.RP.1 compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
    • M.7.rp.2 recognize and represent proportional relationships between quantities.
    • decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
    • identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.
    • represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
    • explain what a point(x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0,0) and (1,r ) where r is the unit rate.
  12. Additional Resources

    Slide 14 - Additional Resources

    • http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-203s.html
    • https://www.youtube.com/watch?v=LbJUEuEqAIg