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Popcorn > Raisinets

Popcorn > Raisinets. Algebra 1. Essential Question. How can two-variable inequalities be used to represent relationships?. It’s Showtime!. https://youtu.be/LNTuIIjFbnw What is the last movie you have seen? Do you remember how much the movie ticket cost? If so, how much was it?

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Popcorn > Raisinets

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  1. Popcorn > Raisinets Algebra 1

  2. Essential Question How can two-variable inequalities be used to represent relationships?

  3. It’s Showtime! https://youtu.be/LNTuIIjFbnw • What is the last movie you have seen? • Do you remember how much the movie ticket cost? If so, how much was it? • Does everyone pay the same amount for a ticket? Do you think that is fair?

  4. Movie Snacks Are the Best! Scenario #1: Your family goes to the movies. The snack bar is all out of large popcorn containers and drink cups. The only size they have left is small. The family has $20 to spend. How many popcorn containers and drinks can they buy if a popcorn costs $3.00 and a drink costs $2.00? Your family wants no change. • In pairs, figure out different solutions to the scenario. Record the solutions on your handout, graph them, and answer the questions.

  5. Movie Snacks Are the Best! Scenario #2: Your family decided it was way too hard to figure out how many orders of popcorn and drinks they needed to buy to get back no change. They do not mind if they get change back. How many different ways can the family buy popcorn and drinks now? • With the same partner, find new solutions to the problem. Record the solutions, graph them, and answer the questions.

  6. Reminder: How to Solve Multi-Step Inequalities 1) Distribute 2) Simplify (Combine like terms on both sides of the inequality sign.) 3) Get variables together on the same side of the inequality sign. 4) Add/Subtract* 5) Multiply/Divide: Remember, if multiplying or dividing by a negative number, flip the inequality sign.* *Unless a division bar is present, multiply before adding/subtracting.

  7. Graphing with Two Variables • Make sure the inequality is in slope-intercept form. • Next, graph using the slope and y-intercept. Use either a solid or dotted line depending on the inequality. • For < or > inequalities, use a dotted line. • For < or > inequalities, use a solid line.

  8. Graphing with Two Variables • Then, determine the side to shade by testing a point. • (0,0) unless line goes through the origin • TRUE: shade towards testing point • FALSE: shade away from testing point

  9. Graph: 2y < 3x - 2 • Is the equation in slope intercept form? • Is this a solid or dotted line? • Shade by testing a point. • What can we conclude about the solutions?

  10. Challenge Question! Graph 2y - 4x > 6

  11. Reflection • Take a look at the equation created in Scenario #2. • Where are all the points located on the graph you plotted? • If you shade the points, are they constrained to a certain area?

  12. Reflection

  13. Susie Sits Where? Susie bought her movie ticket and picked her seat online. But now that she is at the movie theater, she can’t remember where she requested to sit. • You will be paired up with another partner in the Desmos activity Polygraph: Linear Equalities. • Using “yes” and “no” questions, you will find Susie’s seat based on the graph your partner selected.

  14. What is your two-variable movie scenario? • It is your turn to create a two-variable movie scenario for others to solve. You must include the following: • A narrative for your scenario • The process on how to solve the problem and potential problems or errors other students may make along the way

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