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Exploring Points of Intersection Without Graphing

Learn how to find the point of intersection of two lines just using their equations, explore the disadvantages of graphing, and practice solving equations with substitutions. Discover the meaning and methods of finding the point of intersection in this engaging lesson. Develop a deeper understanding of solving equations and enjoy interactive challenges. Enhance your math skills and problem-solving abilities in a fun and educational environment. Strengthen your knowledge and confidence in finding points of intersection effectively.

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Exploring Points of Intersection Without Graphing

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Presentation Transcript

  1. Learning Goal • I can find the POINT OF INTERSECTION of 2 lines just using their equations • i.e. without graphing the lines!

  2. Minds On • Look at the worksheet from yesterday • What are some disadvantages of finding the POINT OF INTERSECTION (POI) by graphing the lines?

  3. Lesson 6 – POI and Substitution CHALLENGE! • Complete this worksheet • Turn and talk to your partner about your work. • How did you do it?

  4. Lesson 6 – POI and Substitution BIG Ideas: • To solveone equation, there can only be ONE UNKNOWN • If you have two equations, you can solve for TWO UNKNOWNS • By subbing information from one equation into the other equation

  5. What does find the POI mean? • Find the place (x, y) where 2 lines meet • Find the pair of values that make both equations true • Find (x, y) that works for both equations • Find (x, y) that is on both lines

  6. I’ll show you Find the POI for

  7. Now you try Find the POI for

  8. I’ll show you Find the POI for

  9. Now you try Find the POI for

  10. Lesson 6 – POI and Substitution Consolidation • How do you find the POI if you have 2 equations, without graphing them?

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