Presentation on theme: "Objective: The student will be able to: Identify and interpret the slope of a scenario as a __________________. Analyze tables, graphs, and equations and."— Presentation transcript:
Objective: The student will be able to: Identify and interpret the slope of a scenario as a __________________. Analyze tables, graphs, and equations and ________________ their unit rates of change.
Career Focus: Cost estimators figure out how much a project or product will cost. This helps business owners and managers decide whether to build a structure or manufacture a product. To figure out the cost of a job, a cost estimator relies on slope and unit rate of change to help him/her make decisions.
Activating Strategy The table shows Naziah’s height at ages 9 and What is the change in Naziah’s height from ages 9 to 12? _____________ 2. Over what number of years did this change take place? _____________ 3. Write a rate that compares the change in Naziah’s height to the change in age. Express your answer as a ratio and explain its meaning. Age (years) 912 Height (in.) 5359
Rate of Change is a _______ that describes how one quantity changes in relation to another. A rate of change is usually expressed as _____________. Can also represent the __________in a word problem or real-world scenario Can be expressed in a table, graph, or equation
Find Rate of Change in a Table Ex. 1.) The table shows the amount of money a soccer team made washing cars for a fundraiser. Use the information to find the rate of change in dollars per car. Find the unit rate to determine the rate of change : Delta Y Delta x So, the number of dollars earned increases by ________for every ____________washed.
AP #1: Find the rate of change 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. DELTA Y DELTA X Change in: _______ = Change in:_______ _______ UNIT RATE:_________________
Find Rate of Change from a Graph The graph represents the distance traveled while driving on a highway. Use the graph to find the rate of change in miles per hour. To find the rate of change, pick any two points on the line, such as (1, 60) and (2, 120). DELTA Y DELTA X
AP #2: Find the rate of change from a graph Use the graph to find the rate of change in miles per hour while driving in the city.
Unit Rate and Slope The table below shows the relationship between the number of seconds y it takes to hear the thunder after a lightning strike and the distance x you are from the lightning. Graph the data. Then find the slope of the line. Explain what the data represents.
AP #3: Unit Rate and Slope Graph the data. Then find the slope of the line. Explain what the slope represents.
Problems #3-9 With your partner, complete problem #3. Explain what the slope represents in 2-3 sentences. Create an equation that would represent this situation.
Independent Practice Continue to complete problems #4-#9