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Linear Plots Objective: Students will use tables and graphs to help determine the linear rule for a recursive function.
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Examples
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Process What would you do first? Make a table with what Find distance and time relationships for all vehicles Find each vehicles average speed, rate
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Table Complete the table Do we need to go further with the table?
How does this help us to answer the question: When and where will they pass each other on the highway?
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Rule From the table can you find the rule for each vehicle What is meant by the rule? What are the independent and dependent variables? What do all the vehicles have in common?
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Answering the question
How can we find the answer using the rule? Graph each line Find the intercept of the lines What does the intercept tell us
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Example Make a table 2. Write a rule
3. When is the car within 100 miles of San Antonio, explain your answer? 4. How far is the car from San Antonia after it has been driving for 2 hours, explain your answer? 5. How long does it take the car to get to San Antonio, explain your answer?
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Exit Ticket Objective: Students will use tables and graphs to help determine the linear rule for a recursive function. On a scale of 1 to 4 do you feel we met our objective? If we didn’t what do we need to improve.
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