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## Algebra

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**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**• Squares and Square Roots • EXAMPLE: Find x or x2 • x = 4 • x2 = 9**Quiz TodayFind x or x2**• x2 = 169 • x2 = 324 • x = 16 • x = 15 • X2 = 196**Probability**“What are the chances that if I …”**This Week’s Schedule**• Quiz Re-takes – Everyday • Quiz on Friday • Similar Triangles**Learning Target**• I will be able to figure the probability of an outcome in a situation.**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**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**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**Homework Requirements**• In pencil • NEAT!! • Show your work • Complete and organized • Formulation • Substitution • Execution • Label • Expression**Ticket Out the Door**• What is the probability of rolling an even number or “5”? • Write the formula and show your work**Means-Extremes Property of Proportions**If where b ≠ 0 and d ≠ 0 Then • Example: 4(105) = 5x 420 = 5x x = 84