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7 th Grade Math. Warm-up September 24, 2012. Discuss with your group some answers on the above questions. On your interactive notebook. Vocabulary Words for the Day Equation Rule. Definition. Examples. Non-Examples. Investigation 3.1 (A). Ticket out the Door
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Discuss with your group some answers on the above questions.
On your interactive notebook Vocabulary Words for the Day Equation Rule Definition Examples Non-Examples
Ticket out the Door What decisions do you have to make when you write an equation to represent a relationship between variables? _______________________________________ _______________________________________ _______________________________________ _______________________________________
Investigation 3.1 (B) C. Do the following for each of the three average speeds: Look for patterns relating distance and time on the table and graph. Write a rule in words for calculating the distance traveled in any given time. _________________________________________________________ _________________________________________________________ 2. Write an equation for your rule, using letters to represent the variables. _________________________________________________________ Describe how the pattern of change shows up in the table, graph, and equation. __________________________________________________________ D. For each speed (50, 55, and 60 mph) tell how far you would travel in the given time. Explain how you can find each answer by using the table, the graph, and the equation. 3 hours ______________________________________________ 4 ½ hours ______________________________________________ 5 ¼ hours _______________________________________________
Ticket out the Door In what ways are equations useful? ________________________________ ________________________________ ________________________________ ________________________________
Warm-up September 26, 2012 Find the Greatest Common Factor
Investigation 3.2 (A) Find the price of admission for a group of 20 people, a group of 30 people, and a group of 42 people. ___________________________________________________ ___________________________________________________ Describe in words how you can calculate the admission price for a group with any number of people. ___________________________________________________ ___________________________________________________ Write an equation for the admission price p for a group of n people. ___________________________________________________
Sketch a graph to show the admission price for a group of any size. How does the pattern of change show up in the equation and graph? ______________________________ ______________________________ ______________________________ ______________________________ How is this pattern similar to the pattern in Investigation 3.1? ______________________________ ______________________________ ______________________________ ______________________________
Ticket out the Door In this unit, you have represented relationships with tables, graphs, and equations. List some advantages and disadvantages of each of these representations. ______________________________________ ______________________________________ ______________________________________ ______________________________________
Investigation 3.2 (B) _____________________________ _____________________________ _____________________________ _____________________________ _____________________________ _____________________________
Number your answers below. ________________________________ _______________________________ _______________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________
Warm-up September 28, 2012 Simplify.
Investigation 3.3 A. Extend and complete Sidney’s table for 1 to 6 customers. B. Write a rule in words and an equation for calculating revenue r for n customers _____________________________________________________________ total expenses e for n customers _____________________________________________________________ profit p for n customers _____________________________________________________________ Use the equations you wrote on B to find the revenue, expenses, and profit for 20 customers and for 31 customers. ____________________________________________________________ D. Sidney forgot that the tour operators need to rent a van to carry equipment. The rental cost for the van will be $700. How does this expense affect the equation for total expenses? How does this expense affect the equation for profit?