Each subtopic below contains a lesson page, an interactive student practice page, and a
teacher resource page.   Sections denoted with *  have Graphing Calculator references.

1. Mathematical Reasoning   (5-10% of Regents Exam)

      Logic - Constructing Valid Arguments
          Venn Diagrams
          Truth Values: and, or, implies, if and only if
          Related Conditionals: converse, inverse, contrapositive
          Truth Value of Compound Sentences
          Truth Value of Open Sentences

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2. Numbers & Numeration   (5-10% of Regents Exam)           Rational & Irrational Numbers           Approximations of Irrational Numbers           Properties of Real Numbers

How to Round Numbers for Math A

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3. Operations   (15-20% of Regents Exam)

      Algebraic Skills
          Signed Numbers *
          Order of Operations & Evaluating Expressions
          Addition & Subtraction of Polynomials
          Multiplication of Polynomials *
          Division of Polynomials by Monomials
          Operations with Radicals
          Scientific Notation *
          Algebraic Fractions
          Factoring *

      Exponents

      Transformations
          Line Reflection
          Translation
          Rotation
          Dilation
          Line & Point Symmetry

      Applications of Mathematics

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4. Modeling/Multiple Representation   (15-25% of Regents Exam)

      Problem Solving with Algebra & Geometry
          Algebraic Representations
          Triangle Inequalities
          Formulas & Literal Equations
          Types of Angles (including Angles with Parallel Lines)
          Sum of Interior & Exterior Angles of Polygons

          Study of Triangles
          Study of Quadrilaterals 

      Geometric Constructions
          Basic Constructions
          Congruence
          Similarity

      Transformations in Coordinate Geometry
          Reflection in a Line
          Reflection in a Point
          Translations *
          Dilations
          Using the Graphing Calculator to Examine Transformations *
          

      Locus
          At a Fixed Distance from a Point
          At a Fixed Distance from a Line
          Equidistant from Two Points
          Equidistant from Two Parallel Lines
          Equidistant from Two Intersecting Lines
          Compound Locus

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5. Measurement   (15-25% of Regents Exam)

      Application of Formulas
          Perimeter of Polygons & Circumference of Circles
          Area of Polygons & Circles 
          Volume of Solids
          Pythagorean Theorem

      Apply Appropriate Units & Tools
          Metric/English Conversions
          Use of Tools

      Analyzing in 3-D

      Statistics
          Collecting & Organizing Data * 
             

          Measures of Central Tendency: Mean-Mode-Median *
          Quartiles & Percentiles *

      Right Triangle Trigonometry *

      Proportions
          Ratio
          Proportions
          Scale Drawing
          Percent
          Similar Figures
          Similar Polygons: Ratio of Perimeters & Areas
          Comparison of Volumes of Similar Solids
          Direct Variation

      Applications in Coordinate Geometry
          Absolute Value
          Length of a Line Segment - Distance
          Midpoint of a Segment
          Equation of a Line
          Parallel & Perpendicular Lines

      Error in Measurement

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6. Uncertainty (Probability)   (5-10% of Regents Exam)

      Theoretical versus Empirical Probability

      Problems Involving Probability
          Single & Compound Events
          Problems Involving AND & OR

      Computing Probabilities
          Mutually Exclusive & Independent Events
          Counting Principle
          Sample Space
          Tree Diagrams

      Permutations & Combinations
          Factorial Notation
          Permutations: nPn & nPr
          Combinations: nCn & nCr

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7. Patterns & Functions   (15-25% of Regents Exam)

      Represent & Analyze Functions
          Solve Linear Equations with Integral, Fraction, or Decimal Coefficients *
          Solve Linear Inequalities *

          Solve Factorable Quadratic Equations *
          Graphs of Linear Equations: Slope & Intercept *
          Graph Inequalitites *
          Solve Systems of Linear Equations *
          Solve Systems of Inequalities *
          Graphs of Conics: Circles & Parabolas *
          Solve Quadratic-Linear Pair *

      Modeling Real World Situations with Functions