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Algebra

Algebra. February 22 , 2013. Warm-up. When you come into the classroom: Get a writeboard. Get out some paper and a pencil. Get ready to take notes. On your writeboard : How many permutations are there for 8 paintings hung on the wall out of 10 paintings. Quiz Today.

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Algebra

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  1. Algebra February 22, 2013

  2. Warm-up When you come into the classroom: • Get a writeboard. • Get out some paper and a pencil. • Get ready to take notes. On your writeboard: How many permutations are there for 8 paintings hung on the wall out of 10 paintings.

  3. Quiz Today • Squares and Square Roots • EXAMPLE: Find x or x2 • x = 4 • x2 = 9

  4. Quiz TodayFind x or x2 • x2 = 169 • x2 = 324 • x = 16 • x = 15 • X2 = 196

  5. Probability “What are the chances that if I …”

  6. This Week’s Schedule • Quiz Re-takes – Everyday • Quiz on Friday • Similar Triangles

  7. Learning Target • I will be able to figure the probability of an outcome in a situation.

  8. Definitions • Experiment –an activity where results can be observed and recorded • Outcome –one of the possible results of an experiment • Event –a possible choice resulting in an outcome (like getting heads) • Solution Space – The set of all possible solutions to an experiment

  9. Probability of an Event

  10. Addition Rule for Mutually Exclusive Events

  11. Addition Rule for Not Mutually Exclusive Events

  12. Independent Events • When the outcome of one event has no bearing on the outcome of the other event • Having a boy baby last time does not change the probability of having a boy this time • Flipping a heads this time does not alter the probability of flipping a tails next time • Rolling a “2” last time has no effect on the probability of rolling a “6” this time

  13. Probability Tree

  14. Multiplication Rulefor Independent Events

  15. Factorial “!” • n! = n ∙ (n-1) ∙ (n-2) ∙ (n-3) ∙ …∙ 3 ∙ 2 ∙ 1 • Where n is a whole number 5! = 5 ∙ 4 ∙3 ∙ 2 ∙ 1 5! = 120 7! = 7 ∙ 6 ∙ 5∙ 4 ∙ 3 ∙ 2 ∙ 1 7! = 5040

  16. Homework Requirements • In pencil • NEAT!! • Show your work • Complete and organized • Formulation • Substitution • Execution • Label • Expression

  17. Ticket Out the Door • What is the probability of rolling an even number or “5”? • Write the formula and show your work

  18. Means-Extremes Property of Proportions If where b ≠ 0 and d ≠ 0 Then • Example: 4(105) = 5x 420 = 5x x = 84

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