Transcript Lesson 6-3 PowerPoint

(over Lesson 6-2)
Determine whether the following statement is sometimes, always,
or never true. Explain by giving an example or a counterexample.
The denominator of a unit rate can be a decimal.
Sometimes; a unit rate is a comparison of two
numbers with different units by division. For
C.
Always; a unit rate is a ratio of two measurements
having different units. For example, $16 for 2
pounds.
Never; a unit rate is a rate that is simplified so that it
has a denominator of 1 unit. For example, the unit
rate
is read 50 words per minute.
1.
2.
0%
3.
A
B
0% 0%
C
C
B.
is read 65 miles in 3 hours.
B
example,
A
A.
Main Idea and Vocabulary
Example 1: Find Rate of Change from a Table
Example 2: Find Rate of Change from a Graph
Example 3: Find Rate of Change from a Graph
• Identify rate of change and slope using tables
and graphs (2.3.8B) (M7.A.2.2).
• rate of change – describes how one quantity
changes in relation to another
• Slope – rate of change between any two points
on a line
Find Rate of Change from a Table
The table shows the number of miles a car drove on
a trip. Use the information to find the approximate
rate of change.
Change (difference) in the
miles driven
Change (difference) in the
time
Find the unit rate to determine the rate of change.
Find Rate of Change from a Table
The distance increases 65
miles for every hour.
Answer: So, the rate is 65 miles per hour
The table shows the number of miles a car drove on a
trip. Use the information to find the rate of change.
A. 11 miles per gallon
D. 44 miles per gallon
0%
D
A
0%
A
B
C
0%D
C
C. 22 miles per gallon
1.
2.
3.
0%
4.
B
B. 12 miles per gallon
Find Rate of Change from a Graph
The graph represents the distance traveled flying in
a plane. Use the graph to find the rate of change.
Find Rate of Change from a Graph
To find the rate of change, pick any two points on the
line, such as (1,300) and (2,600).
Distance
increases by 300
miles in 1 hour.
Answer: The rate of change is 300 miles per hour.
Use the graph to find the rate of
change while driving on a
highway in North Carolina.
A. 60 miles per hour
B. 65 miles per hour
1.
2.
3.
4.
C. 70 miles per hour
0%
D
0%
C
A
0%
B
0%
D. 75 mile per hour
A
B
C
D
Find Rate of Change from a Graph
Graph the data. Find the slope of the line. Explain
what the slope represents.
Graph the data.
Find Rate of Change from a Graph
Pick two points of the line such as (3, 45) and (6,90) to
find the slope.
or 15
Answer: The slope is $15 and represents the amount
earned per hour.
The table shows the cost of renting a bicycle. Use the
graph of the data to find the slope of the line. Explain
what the slope represents.
A. The slope is $4 and represents
the cost per hour to rent a bicycle.
B. The slope is 4 mph and represents
the speed of the bicycle.
C. The slope is $6 and represents the
cost per hour to rent a bicycle.
0%
D
A
B
C
D
0%
C
A
B
1.
2.
3.
0% 4. 0%
D. The slope is 6 mph and represents
the speed of the bicycle.
Review
Use the information in the table to find the rate of
change in degrees per hour.
Temperature (F)
Time
54
57
60
63
6 A.M. 8 A.M. 10 A.M. 12 P.M.
1.5 degrees F per hour
1.
2.
3.
4.
A
B
C
D
Review
SNACKS The table below shows the number of
small packs of fruit snacks, y per box x. Find the
slope of the line. Explain what the slope
represents.
Boxes (x)
3
5
7
9
Packs (y)
24
40
56
72
Slopes is 8/1 or 8; There
are 8 packs of fruit snacks
in each box.
End of the Lesson
Five-Minute Check (over Lesson 6–2)
Image Bank
Math Tools
Scale Drawings
Using Proportions