### Article Index

** Math**

**Integrated Algebra **Length of Course: 40 weeks Credits: 1

Prerequisite: Successful completion of Eighth Grade Mathematics and teacher recommendation.

This is the first course in the New York State curriculum that must be completed successfully for a Regents sequence in mathematics. Listed below are the major topics that are studied in Integrated Algebra.**Number Sense and Operations Strand:** Properties of Real Numbers, Order of Operations, Radicals, Scientific Notation, Ratios, Rates and Proportions, Exponents, Absolute Value**Algebra Strand:**

Operations with Polynomials, Factoring, Quadratic Equations, Linear Equations, Linear Inequalities, Systems of Equations and Inequalities, Patterns, Functions and Relations, Pythagorean Theorem, Trigonometry (Sin, Cos, Tan)**Geometry Strand:**

Slope, Parallel and Perpendicular Lines, Parabolas, Area, Perimeter, Volume and Surface Area**Measurement Strand:**

Error in measurement, Metric Conversions, English Conversions**Probability and Statistics Strand:**

Mean, Median, Mode and Range, Percentiles and Quartiles, Data Display (histogram, cumulative frequency histogram, box & whisker, stem and leaf, line graphs), Counting Principle, permutations, Single and Compound Events, Sample Spaces and Tree Diagrams

The Integrated Algebra Regents is given in June at the completion of this course.

**Integrated Algebra Part 1 ** Length of Course: 40 weeks

Prerequisite: 8th grade Mathematics Credits: 1

The content for Part 1 will cover the first half of the Integrated Algebra Curriculum. Students will take a local final exam at the end of the year. A final average of 65 must be obtained for a student to advance to Integrated Algebra Part II.

-Topics to be covered: (Not limited to)

-Properties and operations of real numbers and polynomials

-Algebra components (variables, expressions, simplifying, factoring, translating, fractions)

-Graphing and solving linear equations and inequalities

-Systems of equations

-Statistics-Quadratic equations (radicals, square roots)

**Algebra Part 2** Length of Course: 40 weeks

Prerequisite: Algebra Part I Credits: 1

Topics:

1. Radicals

2. Probability

3. Quadratic equations

4. Factoring

5. Slope

6. Parabolas

7. Statistics

8. Trigonometry

9. Linear equations and Inequalities

10. Systems of linear equations and Inequalities

The integrated Algebra Regents is given in June at the completion of this course.

**Algebra II** Length of Course: 40 weeks

Prerequisites: Algebra Part 2 Credits: 1

Topics: 1. Graphing: (systems of linear equations, polynomials, and parabolas)

2. Trigonometry

3. Transformations

4. Radicals

5. Functions and Relations

6. Circles

7. Equations and Inequalities

**Geometry NR** Length of Course: 40 weeks Credits: 1

Prerequisite: Successful completion of Integrated Algebra or Algebra Part II and teacher recommendation. This is an introduction to Geometry covering the basic topics without proofs. Some of the topics are:

1. Locus

2. Logic

3. Properties of Triangles

4. Parallel Lines

5. Quadrilaterals

6. Similarity

7. Constructions

8. Coordinate Geometry

9. Parabolas and Circles

10. Solids

11. Transformations

**Integrated Geometry ** Length of Course: 40 weeks

Prerequisite: Integrated Algebra or Geometry Nonregents Credits: 1

This course is the second course in the New York State Math curriculum that must be completed successfully for a Regents sequence in math.

Major strands include:

- Locus
- Logic
- Properties of triangles including formal proofs
- Parallel lines including formal proofs
- Quadrilaterals including formal proofs
- Similarity
- Constructions and Concurrency
- Coordinate Geometry including proofs
- Parabolas and Circles
- Solids
- Transformations
- Planes

**Algebra, Trigonometry, and Elementary Functions **Length of Course: 40 weeks

Prerequisite: Int. Geometry or Algebra II Credits: 1

This covers selected topics from Course III. There is no state regent’s exam at the completion of this course. Major strands include:

- Algebra
- Complex numbers
- Functions and relations
- Trigonometric functions
- Trigonometric graphs
- Triangle trigonometry

**Description of the Elementary Statistics Course ** Length of Course: 40 weeks

Prerequisite: The successful completion of three years of high school mathematics Credits: 1

Elementary Statistics is an introductory course that enables students to comprehend and compute the various measures of statistics. Topics include the nature of statistics, sampling, measures of central tendency, measures of dispersion, correlation, linear regression, normal and binomial distributions, fundamentals of probability, and statistical inferences. Applications from a wide range of areas will be presented including the physical and biological sciences, social science, education, and manufacturing.

**Name of Course: Algebra 2 and Trigonometry ** Length of Course: 40 weeks

Prerequisite: Integrated Geometry or Algebra, Trigonometry and Elementary Functions Credits: 1

This course is the third course in the New York State Math Regents curriculum leading to an Advanced Regents Diploma.

Major strands:

1. Properties of Exponents

2. Operations with Polynomial Expressions including Complex Fractions

3. Roots and Radicals

4. Equations

5. Inequalities

6. Functions and Relations including Direct Variation, Inverse Variation and Circles

7. Complex Numbers

8. Quadratic Functions including the study of the Nature of the Roots and the Discriminate

9. Systems of Equations

10. Sequence and Series

11. Exponential and Logarithmic Functions

12. Trigonometry including: Functions, Graphs and Inverses, Identities, and Equations

13. Triangle Trigonometry

14. Statistics including Regression Analysis

15. Probability including the Binomial Theorem

This course should be considered a prerequisite for Pre-Calculus.

**Pre-calculus ** Length of Course: 40 weeks

Prerequisite: Three years of Regents Math Credits: 1

This course is an advanced mathematics course designed to prepare students to enter our AP Calculus course or to pursue technical programs in college. Algebraic, numerical, and graphical representations are emphasized throughout the course. Work will be done both with and without the use of a graphing calculator.

The major strands will include:

- Coordinate Geometry of Conic Sections
- Inequalities and Their Graphs
- Functions
- Circle Trigonometry
- Exponents and Logarithms
- Graphs of Functions
- Techniques of Equation Solving
- Complex Numbers
- Polynomials
- Advanced topics in Curve Sketching

**AP Calculus AB (Advanced Placement)** Length of Course: 40 weeks

Prerequisite: Pre-Calculus Credits: 1

College Credits: Determined by the score obtained by the student on the AP exam, the college or university the student chooses to attend and the college major chosen by the student (in the recent past students have earned from 3 to 8 college Credits)

Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical and graphical representations are emphasized throughout the course.

The above description is from “Calculus AB Course Perspective” by Dan Kennedy.

The entire articles as well as the official College Board ® Course Description are available at www.apcentral.collegeboard.com All students are expected to take the AP exam in the spring. **There will be a fee** for this exam.