Why take a fourth year of

math?Putting the pieces together…

Can you do the following problems?• If 2x – 3(x + 4) = - 5, then x =

• If x > 2, then

• In the figure below, both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is 3 units less than R, which of the following represents the area of the shaded region?

4

62

2

x

xx

Why take a fourth year?• To keep you connected to the math you

will take in college• To save you money, so that you are not

registered in a basic math class in college• To save you time, so that you are on-

track to graduate in four years from college

• To put you ahead of the game to get college credit in high school; saving you both time and $$

What are my options?•Algebra 2/Trigonometry (Math 3)

•Math 4N•Math 4/4H (Pre-Calculus)•AP Statistics•AP Calculus

Algebra 2/Trigonometry• What is covered?

– Advanced Algebra– Function Families– Quadratics– Proofs– Exponents and Logarithms– Trigonometry– Probability and Statistics

• Final Exam?– NYS Algebra 2/Trigonometry Exam in

June

Algebra 2/Trigonometry• Who should take this course?

– Anyone who intends to receive an advanced regents diploma.

– Anyone attending college who will be required to take Calculus at some point

• Prerequisites?– Mastery of Math 3N curriculum.– Teacher Recommendation.

Math 4N• Find out the

Mathematics behind Internet Search Engines

• Learn how to make the best financial decisions for your future.

Math 4N• What is covered?

– Linear Programming– Functions– Informatics: the Math of Internet search

engines– Exponents and Logarithms– Sequences & Series– Financial Planning

• Final Exam?– Nope.– Semester 1 Exam (covering only September

– January)– Semester 2 Exam (covering only January –

June)

Math 4N• Who should take this course?

– Anyone planning on attending college who will be required to fulfil a general education Math credit.

– Anyone who is interested in learning how to make responsible financial decisions. (i.e., are you ready to buy a car, get a credit card? Do you know your credit score?)

• Prerequisites?– Successful completion of three years of

mathematics.

Math 4/4H (Pre-Calculus)•How do we animate Buzz Lightyear’s arm?

Math 4/4H (Pre-Calculus)•How do we model motion to hit a target?

Math 4/4H (Pre-Calculus)• What is covered?

– Sequences & Series– Vectors, Modeling Motion– Review of Trigonometry and Logarithms– Polynomial and Rational Functions– 3D – graphing and modeling

• Final Exam?– Nope.– Semester 1 Exam (covering only

September – January)– Semester 2 Exam (covering only January

– June)

Math 4/4H (Pre-Calculus)• Who should take this course?

– Anyone attending college who will be required to take Calculus at some point

– Anyone who is entering a field in the hard sciences (engineering, chemistry, physics, etc)

• Prerequisites?– Successful completion of three years of

mathematics and a passing grade on the Math B exam.

AP Statistics

AP Statistics• As a society we want to have some control over

– reducing rates of cancer, heart attack, diabetes and other diseases…

– Determining public education strategies to reduce the incidence of HIV

• As intelligent and curious beings we want to understand things like– Psychic abilities – are they real?– Are left-handed people better at mathematics?

• As social and curious beings we want to know about other people– Who are they planning to vote for at the next election?– What TV programs are they watching?

AP Statistics• Who should take this course?

– Anyone who has an interest in learning about a very different side of mathematics

– Anyone who is entering a field in the social sciences (psychology, political science, anthropology, etc) or in any research-based field (biomedical sciences)

• Prerequisites?– Successful completion of three years of

mathematics

All students taking an AP course must sitfor the AP exam in May.

AP Calculus

AP Calculus• Who should take this course?

– Anyone interested in a career in mathematics, computer science, engineering or the “hard” sciences (biology, chemistry, etc.)

– Anyone interested in a business degree (there are college courses just for “Business Calculus”)

• Prerequisites?– 90 or higher in Math 4 / 4H– Juniors currently in Math 3H may qualify –

see Mr. Watson for details

All students taking an AP course must sitfor the AP exam in May.

AP Calculus• What will you learn?

– The math behind sticking a thermometer in a murder victim’s liver

– How to find the volume of oddly-shaped objects

– The relationships between distance, velocity, and acceleration

• Fun stuff we do?– Build models out of food– Sing “calculus carols”