Rate of Change Presentation

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Tags:
rate of change
proportion

Slide 1  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

Slide 3  Age (yr)
 9
 12
 Height (in)
 53
 59
 Stephanie’s height

Slide 4  Age (yr)
 9
 12
 Height (in)
 53
 59
 Age (yr)
 9
 12
 Height (in)
 53
 59

Slide 5  Age (yr)
 9
 12
 Height (in)
 53
 59

Slide 6  Age (yr)
 9
 12
 Height (in)
 53
 59

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.

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

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

Slide 10  Rate of change using a graph

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.

Slide 14  Additional Resources
 http://www.phschool.com/atschool/academy123/english/academy123_content/wlbookdemo/ph203s.html
 https://www.youtube.com/watch?v=LbJUEuEqAIg