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Four rules or facts about probability:

Four rules or facts about probability:. The probability of an event that cannot occur is 0. The probability of an event that must occur is 1. Every probability is a number between 0 and 1 inclusive. The sum of the probabilities of all possible outcomes of an experiment is 1.

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Four rules or facts about probability:

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  1. Four rules or facts about probability: • The probability of an event that cannot occur is 0. • The probability of an event that must occur is 1. • Every probability is a number between 0 and 1 inclusive. • The sum of the probabilities of all possible outcomes of an experiment is 1.

  2. How will you dress for the weather?

  3. What are the chances? Impossible 50-50 chance of occurring Not Likely to occur Likely to occur Certain 0 .5 1

  4. Homework • Textbook 734 #47, 48, 59, 60

  5. Geometric Conclusions • Determine if each statement is a SOMETIMES, ALWAYS, or NEVER

  6. Who Am I? • My total angle measure is 360˚. • All of my sides are different lengths. • I have no right angles.

  7. Who Am I? I have no right angles My total angle measure is not 360˚ I have fewer than 3 congruent sides.

  8. Who Am I? • My total angle measure is 360˚ or less. • I have at least one right angle. • I have more than one pair of congruent sides.

  9. Who Am I? • I have at least one pair of parallel sides. • My total angle measure is 360˚. • No side is perpendicular to any other side.

  10. Types of curves simple curves: A curve is simple if it does not cross itself.

  11. Types of Curves closed curves: a closed curve is a curve with no endpoints and which completely encloses an area

  12. Convex Curves Not Convex Curves Types of Curves convex curve: If a plane closed curve be such that a straight line can cut it in at most two points, it is called a convex curve.

  13. Triangle Discoveries Work with a part to see what discoveries can you make about triangles.

  14. Types of Triangles Classified by Angles • Equiangular: all angles congruent • Acute: all angles acute • Obtuse: one obtuse angle • Right: one right angle Classified by Sides • Equilateral: all sides congruent • Isosceles: at least two sides congruent • Scalene: no sides congruent

  15. Triangles Scalene (No sides equal) Isosceles (at least two sides equal) Equilateral (all sides equal)

  16. What’s possible? NO NO NO

  17. Homework Textbook pages 444-446 #9-12, #23-26, #49-52

  18. Pythagorean Theorem c2 a2 b2 a2 + b2 = c2

  19. Pythagorean Theorem http://regentsprep.org/Regents/Math/fpyth/PracPyth.htm

  20. Pythagorean Theorem http://regentsprep.org/Regents/Math/fpyth/PracPyth.htm

  21. Pythagorean Theorem http://regentsprep.org/Regents/Math/fpyth/PracPyth.htm

  22. Pythagorean Theorem http://regentsprep.org/Regents/Math/fpyth/PracPyth.htm

  23. Testing for acute, obtuse, right a2 + b2 = c2 Pythagorean theorem says: What happens if or a2 + b2 > c2 a2 + b2 < c2

  24. Testing for acute, obtuse, right Right triangle: Acute triangle: Obtuse triangle: a2 + b2 = c2 a2 + b2 > c2 a2 + b2 < c2

  25. Types of Angles Website www.mrperezonlinemathtutor.com • Complementary • Supplementary • Adjacent • Vertical

  26. Transversals

  27. Let’s check the homework! Textbook pages 444-446 #9-12, #23-26, #49-52

  28. What is the value of x? 2x + 5 3x + 10

  29. Angles in pattern blocks

  30. Diagonals Joining two nonadjacent vertices of a polygon

  31. For which shapes will the diagonals always be perpendicular?

  32. For which shapes will the diagonals always be perpendicular?

  33. For which shapes will the diagonals always be perpendicular?

  34. For which shapes will the diagonals always be perpendicular?

  35. For which shapes will the diagonals always be perpendicular?

  36. For which shapes will the diagonals always be perpendicular?

  37. For which shapes will the diagonals always be perpendicular?

  38. A B D C If m<A = 140°, what is the m<B, m<C and m<D?

  39. A B D C If m<D = 75°, what is the m<B, m<C and m<A?

  40. Sum of the angles of a polygon Use a minimum of five polygon pieces to create a 5-sided, 6-sided, 7 sided, 8-sided, 9-sided, 10-sided, 11-sided, or 12-sided figure. Trace on triangle grid paper, cut out, mark and measure the total angles in the figure. 2 1 3 4 9 http://www.arcytech.org/java/patterns/patterns_j.shtml 8 2 5 7 1 3 6 4 7 5 6

  41. Sum of the angles of a polygon What patterns do you see?

  42. Sum of the angles of a polygon What patterns do you see?

  43. Sum of the angles of a polygon What patterns do you see?

  44. Sum of the angles of a polygon What patterns do you see?

  45. Sum of the angles of a polygon What patterns do you see?

  46. Sum of the angles of a polygon What patterns do you see?

  47. Sum of the angles of a polygon What patterns do you see?

  48. Sum of the angles of a polygon What patterns do you see?

  49. Sum of the angles of a polygon What patterns do you see?

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