1. Everything You Wanted to Know About Algebra Two/ Trigonometry
Bruce C. Waldner

2. Contact Information
Coordinator of Mathematics, K – 12
Syosset Central School District
Syosset High School
70 SouthWoods Road
Syosset, New York 11754

3. Changes in the Mathematics Curriculum
The new
New York State
Mathematics Learning Standards

4. Is it really what it sounds like?
Three proposed Regents Examinations
Integrated Algebra
Integrated Geometry
Integrated Algebra 2 and Trigonometry

5. NYS Regents program over the years
Before 1977
1999 – 2008?
2008? +
Ninth year Mathematics (Elementary Algebra)
Sequential Math I
Integrated Algebra
Tenth Year Mathematics
(Geometry)
Sequential Math II
Math A (1.5 years)
Geometry
Eleventh Year Mathematics (Algebra and Trigonometry)
Sequential Math III
Math B (1.5 years)
Integrated Algebra and Trigonometry

6. 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

7. When will students take the Mathematics Regents Examination(s)?
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)

8. 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 .

9. 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

10. Normal Approximation for a Binomial Probability Math Facts

11. Example 1
A manufacturer of light bulbs knows that the probability that a light bulb produced by his company being defective is 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?

12. manual solution

13. 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 , , 0.3 , ) ENTER .

14. Calculator screen

15. 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.

16. Solution to Example 2
In this binomial distribution the mean = 10(.7) = 7 and the standard deviation = . .

17. Using the calculator the answer is revealed as: