# Rate of Change Presentation

## tables and graphs showing rate of change

rate of changeproportion

# Rate of Change Presentation

Created 3 years ago

Duration 0:10:07
112
tables and graphs showing rate of change
Slide Content

2. ### 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. ### Slide 3 - Age (yr)

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

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

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

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

11. ### 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.