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## Everything You Wanted to Know About Algebra Two/ Trigonometry

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**Everything You Wanted to Know About Algebra Two/**Trigonometry Bruce C. Waldner**Contact Information**bcwaldner@aol.com Coordinator of Mathematics, K – 12 Syosset Central School District Syosset High School 70 SouthWoods Road Syosset, New York 11754**Changes in the Mathematics Curriculum**The new New York State Mathematics Learning Standards**Is it really what it sounds like?**• Three proposed Regents Examinations • Integrated Algebra • Integrated Geometry • Integrated Algebra 2 and Trigonometry**The new proposed NYS Regents program in Mathematics**• Reverts to a more traditional sequence of high school mathematics courses • Includes the real-world connections and the constructed response format of questions found in Math A and Math B • Three Regents examinations • Graphing calculators needed • Includes probability, and statistics as in the Sequential Math program and Math A and Math B as well as some of the logic • More in-sinc with other parts of the country • Based on NCTM Standards**The current Regents program**Math A – June of 9th grade (grade 8 for accelerated students) Math B – June of 11th grade (grade 10 for accelerated students) The new Regents program Integrated Algebra – June of 9th grade (or grade 8) Geometry – June of 10th grade (or grade 9) Integrated Algebra and Trigonometry – June of 11th grade (or grade 10) When will students take the Mathematics Regents Examination(s)?**Normal Approximation**• In a binomial distribution of n trials, the mean = np and the standard deviation = or. Let r represent the number of successes in n trials. Since the data in a binomial distribution is discrete rather than continuous, then to estimate the probability of at least r successes in n trials, it is necessary to subtract 0.5 • from r .**New topics**• The two major new topics are: • Normal Approximation to a Binomial Distribution • Sequences and Series Check out the handout taken from the NYSED Crosswalk for Algebra Two/Trigonometry**Example 1**A manufacturer of light bulbs knows that the probability that a light bulb produced by his company being defective is 0.01. Out of 30 light bulbs sold to one of his customers, use a normal distribution to approximate the probability that no more than 3 are defective?**Solution to Example 1**• In this binomial distribution the mean = and the standard deviation = . . The graphing calculator can be used to determine this result using a low value of 0.5 lower than the least possible number 0 or –0.5 and 3.5 as the highest number, mean = 0.3 and standard deviation of 0.545, press • 2nd VARS 2 –0.5 , 2.5 , 0.3 , 0.545 ) ENTER .**Example 2**Anytime Gary plays James in a game of chess, he has a 70% probability of winning the game. If they play 10 chess games, use a normal distribution to approximate the probability that Gary wins at least 8 games.**Solution to Example 2**• In this binomial distribution the mean = 10(.7) = 7 and the standard deviation = . .