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15 minutes 1. 2. What is a rotation of an object? How do you go about rotating an object? What happens when you rotate the object below 90 degrees? Draw a picture 12-10-12 Test tomorrow 12/12 Circles: equation of a circle, identify radius, center, graph, create a tangent, solve a triangle in a circle with Pythagorean Theorem Identify arcs Solve for arcs Working with inscribed and cental angles Arc length = circumference central angle 360 how many times will the inscribed angle fit in the central angle? 2 times Remember the measure of an arc is equal to the measure of the central angle that intercepts it. Therefore, the measure of an inscribed angle is _______________ the measure of the intercepted arc ½ Inscribed angle theorem Measure of angle B = ½ measure of arc AC Does this object have arcs? Worksheet inscribed angles, central, and arcs My goal for Wednesday’s test is….. 15 minutes Do Now A tangent line and radius create a _____ angle Agenda Review circles! Unit 6 Probability in book, write down terms and definitions Pg. 821 #7 Pg. 821 #13 Pg. 821 #14 Pg. 822 #22, 23, 24 Pg. 826 #13 a, b, c, d Pg. 846 #34 We will check before you leave! View videos on sports, weather How is probability used in the real-world? Probability of an event is represented as a fraction or decimal from 0 to 1 or percent 0% to 100% 0 probability is impossible You will turn this in: Define each of the words, using your own words ( in terms of math) Probability Event likelihood outcome Create a list of events and order them on a continuum from impossible to certainty I learned today 10 minutes (3rd block only) 2nd block review 5 minutes and take test Do Now: Create a venn diagram describing the similarities and differences between circumference and diameter Probability What do you know? The Monty Hall Problem – you tube Probability Event Chance Likelihood outcome If Anne were to flip a coin 100 times could the outcome be 80 heads, and 20 tails? Explain your reasoning http://interactivemaths.wikispaces.com /Chance http://mathgoodies.com/lessons/vol16 /intro_probability.html Students please write down vocabulary, look for something to track that deals with probability (such as basketball free throws, quarterback passes, soccer penalty kicks, study and passing test) Vocabulary Use of frayer models Create a spinner Experiment and collect data on a chance event Why is probability of 0 impossible? Why do we want 1? 15 minutes D.E.A.R. OR 15 minutes surf and search for Geometry reviews Start first with these sites: Relative frequency – How often something happens divided by all outcomes. Example: if your team has won 9 games from a total of 12 games played: Geometric probability – points on a segment or in a region of a plane represent outcomes. The geometric probability of an event is a ratio that involves geometric measures such as lengths of segments or areas of regions P (event) = # favorable outcomes/ # possible outcomes Point S on segment AD is chosen at random. The probability that S is on segment BC is the ratio of the length of BC to the length of AD Pg. 707 #1 Pg. 707 #2 Point S in region R is chosen at random. The probability that S is in region N is the ratio of the area of region N to the area of region R P (S in region N) = area of region N /area of region R Pg. 708 #3 Pg. 709 #1, 2, 3, 4 Pg. 709 #5, 6 Finish stain glass design or word design What are possible outcomes for one toss? Heads or tails Create a simple sample space with coin tosses, possibilities using 2 coins Make a tree diagram or list How many possible outcomes are there? 8 How many ways can the coin land heads up twice? 3 You have 3 pairs of pants: blue, black and white. You have 4 shirts: red, green, white, and orange. Two pairs of shoes: tennis shoes or sandals. Make a tree diagram and find the probability you choose a pair of blue pants and an orange shirt Why is probability a fraction?