HONORS MATHEMATICS PROGRAM AT PLEASANTVILLE HIGH SCHOOL.

HONORS MATHEMATICS PROGRAM

AT PLEASANTVILLE HIGH

SCHOOL

COURSE OFFERINGS

HONORSGEOMETRY ALGEBRA 2/TRIG PRECALCULUS

ADVANCED PLACEMENTAP CALCULUS ABAP STATISTICSAP COMPUTER SCIENCE

How has common core impacted our math program?

CHARACTERISTICS OF SUCCESSFUL STUDENTSENJOY MATHEMATICSABILITY TO PERSEVEREINQUIRING MINDINDEPENDENT LEARNERSELF MOTIVATEDDISCIPLINEDLIKELY TO PURSUE MATH, SCIENCE, TECHNOLOGY, BUSINESS , ETC.

What is the transition like for 8th grade students in Algebra I moving into 9th grade Geometry Honors?

Geometry HonorsConstructionGeometry ProofsRight triangle – Pythagorean TheoremCoordinate Geometry ProofsCircle ProofsArea, Surface Area, VolumeLines, Parabolas, CirclesTransformationsTrigonometry

Coordinate Geometry:

Regular: The vertices of triangle ABC are A(-1,2), B(3,8), and C(5,-2).

a) Prove that triangle ABC is a right triangle.

b) Prove that point M, the midpoint of the hypotenuse, is equidistant from all three vertices of the triangle.

Honors: Prove by coordinate geometry that the sum of the squares of the lengths of the sides of a parallelogram is equal to the sum of the squares of the lengths of the diagonals.

Algebra II Honors Real and Complex Numbers Polynomials and Factoring Solving and Applying Equations Exponential and Logarithmic Functions Trigonometry Probability and Statistics

The honors section incorporates enrichment activities which include a number of optional thought-provoking topics and challenging exercises.

Geometer’s SketchPad ProjectAn Investigation of Radian Measure

r

Question 5.What is the arclength in terms of theta and r? Does your formula always work?Does it work when you use degrees?

Radian Measure

Exploring Algebra 2 with Sketchpad(C) 2007 by Key Curriculum Press

theta = 0.00

Hide Central Angle

Hide Ticks

Reset

Hide Arc

Go Back

Erase Traces

Go

Home

1 Circle

Semicircle

1 radian

A B

PRECALCULUS HONORS CURRICULUM:Functions and their graphsPolynomial and Rational functionsExponential and Logarithmic functionsIn-depth study of trigonometrySequences and SeriesPolar Coordinate SystemVectors – 2D and 3DConic SectionsSystemsIntroduction to Calculus – limits and continuity

Advanced Placement CoursesComputer Science Statistics CalculusAB

ACE CoursesAP CalculusAB AP Statistics

An ACE course provides students with an opportunity to earn college credit through our partnership with WCC.

CHARACTERISTICS OF SUCCESSFUL STUDENTSENJOY MATHEMATICSABILITY TO PERSEVEREINQUIRING MINDINDEPENDENT LEARNERSELF MOTIVATEDDISCIPLINEDLIKELY TO PURSUE MATH, SCIENCE, TECHNOLOGY, BUSINESS , ETC.

Possible AP programFreshman Year:

Geometry and AP Computer ScienceSophomore Year:

Algebra II and AP Computer ScienceJunior Year:

Pre-calculus and AP StatisticsSenior Year:

AP Calculus / AP Statistics / AP Computer Science

AP COMPUTER SCIENCETaught in Java Topics

Program designProgram implementationProgram analysisStandard data structuresStandard algorithmsComputer systems

PrerequisitesInterest in Computer Programming

Interest in problem solving Enjoys finding alternative solutions

TenacityDesire to learn something different

Not your typical math classA lot of reading, writing and interpreting

Prerequisite: Algebra II

AP-STATISTICSExploring data: observing patterns and

departures from patternsPlanning a study: deciding what to

measure and how to measure itAnticipating patterns: producing

models using probability (binomial) and simulations

Statistical Inference: confirming data models (Hypothesis Tests and Confidence Intervals)

EXAMPLEJanuary 18, 2013, 7:14 am 42 CommentsAs Obama Begins Second Term, Majority Approve of His PerformanceBy MARJORIE CONNELLY President Obama heads into his second term in office with an overall positive approval rating, but the public remains ambivalent about his handling of the economy. Fifty-one percent of Americans approve of the way Mr. Obama is handling his job, according to a survey by The New York Times/CBS News, with 41 percent disapproving. Mr. Obama’s job approval rating is similar to George W. Bush‘s at the start of his second term, but much lower than the ratings of the previous two presidents who served eight years. (President Bill Clinton‘s approval rate was 60 percent in January 1997, and Ronald Reagan‘s was 62 percent in January 1985.) More than 8 in 10 Democrats approve of his job performance, 8 in 10 Republicans disapprove and independents are evenly divided.The public has not changed its assessment of Mr. Obama’s handling of the economy since the last-minute negotiations with Congress to avert the automatic tax increases and spending cuts that were scheduled to take affect at the end of last year. Almost half, 46 percent, approve of the way the president has been dealing with the economy and 49 percent disapprove.  

AP CALCULUS ABFunctions,

Graphs, and Limits

DerivativesIntegrals

AP CALCULUSPrerequisite : PrecalculusRecommended for :Students who are highly motivated.

Students with a love of Mathematics

Students who are looking to major in Mathematics, Science, and/or Engineering

Consider….

Computer Science Principles

Don’t know what this is? Please ask your guidance counselor or Mrs. Nalbandian.