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Types of Equations

Learn how to solve linear, quadratic, and completing the square equations using multiple methods. Discover the quadratic formula and its applications in solving real-world problems.

hermione-wright
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Types of Equations

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  1. Types of Equations Solve: LINEAR QUADRATIC QUADRATIC

  2. Quadratic Equations Solve: a) b)

  3. Learning Log Summary LT1– I can solve quadratic equations using factoring or the square root method. To solve a quadratic equation in standard form… When a binomial is squared in a quadratic equation…

  4. Quadratic Equations Solve: The method of changing the formof a quadratic equation so that one side is a perfect square trinomial is called completing the square.

  5. Quadratic Equations Solve:

  6. Quadratic Equations Solve:

  7. Quadratic Equations Solve:

  8. Learning Log Summary LT2– I can solve quadratic equations by completing the square. I need to complete the square if… In order to complete the square of a quadratic equation…

  9. Solving Quadratic Equations B1) A1) Fold and label your paper: B2) A2) Partner A solves the equation using ANY method in box A1. and explains to partner B as they work. Partner B listens and asks questions / clarifies steps as necessary.

  10. Solving Quadratic Equations B1) A1) Fold and label your paper: B2) A2) Partner B solves the equation using A DIFFERENT method than the one in box A1 and explains to partner A as they work. Partner A listens and asks questions / clarifies steps as necessary.

  11. Solving Quadratic Equations B1) A1) Fold and label your paper: B2) A2) Partner B solves the equation using ANY method in box B2 and explains to partner A as they work. Partner A listens and asks questions / clarifies steps as necessary.

  12. Solving Quadratic Equations B1) A1) Fold and label your paper: B2) A2) Partner A solves the equation using A DIFFERENT method than the one in box B2 and explains to partner B as they work. Partner B listens and asks questions / clarifies steps as necessary.

  13. Closure Homework (record on Learning Log): pg. 309 ~ 1-27 (O)

  14. Refresher… Solve:

  15. Refresher… Solve:

  16. The Quadratic Formula If you need to solve:

  17. The Quadratic Formula The solutions to are given by the formula:

  18. The Quadratic Formula Solve using the quadratic formula:

  19. The Quadratic Formula Solve using two different methods:

  20. Applications of the Quadratic Formula w A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the width of the walk? 10 w w 6 w

  21. Learning Log Summary LT3– I can solve quadratic equations using the quadratic formula. The quadratic formula is… In order to derive the quadratic formula…

  22. Closure Homework (record on Learning Log): pg. 313 ~ 1-27 (O)

  23. Using the Quadratic Formula Find the roots of each quadratic function using the Quadratic Formula. Then state the value under the radical and the number of roots.

  24. The Discriminant

  25. The Discriminant

  26. The Discriminant

  27. Learning Log Summary LT5– I can analyze the discriminant of a quadratic function to determine the nature of its roots. The discriminant is… The possibilities for roots are…

  28. Closure Homework (record on Learning Log): pg. 320 ~ 1-23 (O)

  29. Solving Quadratic EquationsUsing Any Method!

  30. Applications of the Quadratic Formula Two positive real numbers have a sum of 5 and a product of 5. Find the numbers.

  31. Applications of the Quadratic Formula A rectangle is 6 cm long and 5 cm wide. When each dimension is increased by x cm, the area is tripled. Find the value of x.

  32. Applications of the Quadratic Formula w A swimming pool 6 meters wide and 10 meters long is to be surrounded by a walk of uniform width. The area of the walk happens to equal the area of the pool. What is the width of the walk? 10 w w 6 w

  33. Learning Log Summary LT4– I can write a quadratic equation based on a scenario and solve the problem using appropriate techniques. In order to solve a word problem… The options for solving a quadratic equation…

  34. Closure Homework (record on Learning Log): Unit 5 Take Home Quiz (LT 1-5) Due Thursday

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