190 likes | 423 Views
Splash Screen. A B C. 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.
E N D
A B C A.Sometimes; a unit rate is a comparison of two numbers with different units by division. Forexample, 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) 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. Five Minute Check 5
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 Lesson Menu
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 Main Idea/Vocabulary
Change (difference) in the miles driven Change (difference) in the time 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. 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 Example 1
A B C D 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 B. 12 miles per gallon C. 22 miles per gallon D. 44 miles per gallon Example 1
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 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. Example 2
A B C D 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 C. 70 miles per hour D. 75 mile per hour Example 2
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
or 15 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. Example 3
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. Example 3A
A B C D 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. Example 3B
A B C D Use the information in the table to find the rate of change in degrees per hour. 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. Slopes is 8/1 or 8; There are 8 packs of fruit snacks in each box. Review
End of the Lesson End of the Lesson
Five-Minute Check (over Lesson 6–2) Image Bank Math Tools Scale Drawings Using Proportions Resources