Splash Screen. 1.A 2.B 3.C Five Minute Check 5 Determine whether the following statement is sometimes, always, or never true. Explain by giving an example.

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Presentation transcript:

Splash Screen

1.A 2.B 3.C Five Minute Check 5 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. A.Sometimes; a unit rate is a comparison of two numbers with different units by division. For example, is read 65 miles in 3 hours. B.Always; a unit rate is a ratio of two measurements having different units. For example, $16 for 2 pounds. C.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. (over Lesson 6-2)

Lesson Menu 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

Main Idea/Vocabulary 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

Example 1 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. Find the unit rate to determine the rate of change. Change (difference) in the miles driven Change (difference) in the time

Example 1 Find Rate of Change from a Table The distance increases 65 miles for every hour. Answer: So, the rate is 65 miles per hour

1.A 2.B 3.C 4.D Example 1 A.11 miles per gallon B.12 miles per gallon C.22 miles per gallon D.44 miles per gallon The table shows the number of miles a car drove on a trip. Use the information to find the rate of change.

Example 2 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.

Example 2 Find Rate of Change from a Graph Answer: The rate of change is 300 miles per hour. Distance increases by 300 miles in 1 hour. To find the rate of change, pick any two points on the line, such as (1,300) and (2,600).

1.A 2.B 3.C 4.D Example 2 A.60 miles per hour B.65 miles per hour C.70 miles per hour D.75 mile per hour Use the graph to find the rate of change while driving on a highway in North Carolina.

Example 3 Find Rate of Change from a Graph Graph the data. Find the slope of the line. Explain what the slope represents. Graph the data.

Example 3 Find Rate of Change from a Graph Pick two points of the line such as (3, 45) and (6,90) to find the slope. Answer: The slope is $15 and represents the amount earned per hour. or 15

Example 3A 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.

1.A 2.B 3.C 4.D Example 3B 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. D.The slope is 6 mph and represents the speed of the bicycle.

1.A 2.B 3.C 4.D Review Use the information in the table to find the rate of change in degrees per hour. Temperature (F) Time6 A.M.8 A.M.10 A.M.12 P.M. 1.5 degrees F per hour

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)3579 Packs (y) Slopes is 8/1 or 8; There are 8 packs of fruit snacks in each box.

End of the Lesson

Resources Five-Minute Check (over Lesson 6–2) Image Bank Math Tools Scale Drawings Using Proportions

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