1. Peter Mancuso

2. From last class…

3. Definitions… Intersecting: Consistent and Independent Parallel: Inconsistent and Independent Coincident: Consistent and Dependent

4. Variables  Independent variable/ input  Dependent variable/ output

5. Examples  Y = x + 7  Y = -20x – 5  Y = 4x +.5x

6. M&M Activity  Everyone split up into 5 groups.  Each group should have two tables and two cups of M&Ms (Don’t eat them until we are done please).  Groups should also have a few graphing calculators.

7. Read the following problem  “Darius, Pedro, and Sally like to eat M&Ms. For each M&M that Darius eats, Pedro eats 3 times that amount plus one. For each M&M that Darius eats, Sally eats 2 times that amount plus four.  In this problem what would be the dependent and independent variables?

8. Create the Equations…  Take a few minutes within your group to create two equations, based on the independent and dependent variables that we discussed.

9. Using the tables…  Within your group divide into two subgroups. Each subgroup should have a table, a cup of M&Ms and one of the two equations that was created.  For example, one group will have the equation based off of Darius and Pedro and the other group will have the equation based off of Darius and Sally.  Now use your equation and what you know about input/output to complete the tables.  Use the M&Ms to represent the amounts eaten by each student.  Once you have your completed tables go back to your main group and compare the two tables.

10. Back to your main group.  At what x and y values are the tables the same?  What does this specifically tell us about our three students who like to eat M&M’s?  Graph the two equations on the calculator and find the intersection point.  Use the Table function in the calculator.

11. More problems…  Mr. James, the school’s AD, wants to restock his sporting goods supply. A basketball costs $10 and a soccer ball costs $7. Mr. James bought a total of 34 balls and spent $274. How many of each type did Mr. James buy?

12. More Problems  Jill is selling tickets to the school play. It costs students $8.50 to come to the play and it costs adults $12 to come to the play. At the end of the sale, Jill sold 350 tickets for a total of $3395. How many student and adult tickets were sold?