1. 3/17/2011 ©Evergreen Public Schools 2010 1 Systems with Quadratic Inequalities

2. ©Evergreen Public Schools 2010 2 Learning Target Target 10 Level 3 I can solve problems with systems of equations and inequalities. Equations can be linear, exponential or quadratic. What do you know about systems of equations?

3. ©Evergreen Public Schools 2010 3 LaunchLaunch Find one point that is a solution to: How do you know that point is a solution?

4. ©Evergreen Public Schools 2010 4 ExploreExplore

5. 5 System of Equations Find two points that are a solution to the system: y  x 2 – x – 6 y < 2 x – 2 What do you already know about this? How can you use what you already know to solve the problem?

6. ©Evergreen Public Schools 2010 6 System of Equations Darren opened a savings account with 100 at Dollar Federal Savings Bank where he earns at least 4% annual interest on his savings. Erin opened keeps her money in a jar at home. She has $150 and adds up to $5 each year. Find 3 solutions for when Darren has more in his account than Erin. In each year, how much does he have?

7. ©Evergreen Public Schools 2010 7 Team Practice

8. ©Evergreen Public Schools 2010 8 Debrief Consider solving a system with two linear equations similar to solving a system with one linear and one quadratic equation compared to a similar system of inequalities. How are they similar? How are they different?

9. ©Evergreen Public Schools 2010 9 5 3 1 2 4 Learning Target Did you hit the target? Target 10 Level 3 I can solve problems with systems of equations and inequalities. Equations can be linear, exponential or quadratic. Rate your understanding of the target from 1 to 5.

10. ©Evergreen Public Schools 2010 10 Practice Practice 9.4A