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

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Contact Information Trigonometry

bcwaldner@aol.com

Coordinator of Mathematics, K – 12

Syosset Central School District

Syosset High School

70 SouthWoods Road

Syosset, New York 11754


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Changes in the Mathematics Curriculum Trigonometry

The new

New York State

Mathematics Learning Standards


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Is it really what it sounds like? Trigonometry

  • Three proposed Regents Examinations

    • Integrated Algebra

    • Integrated Geometry

    • Integrated Algebra 2 and Trigonometry


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NYS Regents program Trigonometry over the years


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The new proposed NYS Regents program in Mathematics Trigonometry

  • 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


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The current Regents program Trigonometry

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)?


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Normal Approximation Trigonometry

  • 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 .


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New topics Trigonometry

  • 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



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Example 1 Trigonometry

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?


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manual solution Trigonometry


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Solution to Example 1 Trigonometry

  • 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

    .


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Calculator screen Trigonometry


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Example 2 Trigonometry

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.


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Solution to Example 2 Trigonometry

  • In this binomial distribution the mean = 10(.7) = 7 and the standard deviation = . .