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Understanding and Solving Quadratic Inequalities in Real-Life Scenarios

This warm-up session focuses on how real-life situations can be modeled using quadratic functions. We aim to address the question, "How do we solve quadratic inequalities?" The lesson aligns with standards MCC9-12.A.CED.1 and A.REI.4, and includes reading and interpreting inequalities. We will learn to solve quadratic inequalities algebraically by putting them in standard form, changing the inequality to an equation, solving, graphing the solutions, and interpreting the graphs to write solutions as inequalities. Worksheets with 12 problems will reinforce the concepts.

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Understanding and Solving Quadratic Inequalities in Real-Life Scenarios

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Presentation Transcript

  1. Warm up – Solve

  2. CCGPS GeometryDay 16 (2-4-14) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: How do we solve quadratic inequalities? Standard: MCC9-12..A.CED.1, A.REI.4

  3. Reading & Interpreting Inequalities

  4. Solving Quadratic Inequalities Algebraically

  5. Solve Quadratic Inequality Put in standard form Change the inequality to = Solve Graph the solutions Test 3 values, one from each section 6. Shade when TRUE 7. Interpret the graph to write the solution as an inequality

  6. 1. Solve and graph.

  7. 2. Solve and graph.

  8. 3. Solve and graph.

  9. 4. Solve and graph.

  10. 5. Solve and graph.

  11. 6. Solve and graph.

  12. 7. Solve and graph.

  13. 8. Solve and graph.

  14. CW/HW Worksheet 12 problems

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