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New York Regents Math A Requirements

eTAP Lessons

 Pre-Test Post-Test
Mathematical Reasoning (5-10% of Regents Exam)
Logic - Constructing Valid Arguments
Venn Diagrams Showing the Overlap with Venn Diagrams
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm
Truth Values: and, or, implies, if and only if
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm
Related Conditionals: converse, inverse, contrapositive Law of Contra-positive
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm
Truth Value of Compound Sentences
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm
Truth Value of Open Sentences
http://www.regentsprep.org/Regents/math/ALGEBRA/math-ALGEBRA.htm
Numbers & Numeration (5-10% of Regents Exam)
Rational & Irrational Numbers Rational & Irrational Numbers
Approximations of Irrational Numbers Rational & Irrational Numbers
Properties of Real Numbers Rational & Irrational Numbers
Rounding Numbers Round off Whole Numbers
Round off Decimals
Operations (15-20% of Regents Exam)
Algebraic Skills
Signed Numbers Basic Operations
Order of Operations & Evaluating Expressions Order of Operations & Combining Terms
Addition & Subtraction of Polynomials Adding and Subtracting Polynomials
Multiplication of Polynomials Polynomials
Division of Polynomials by Monomials
Scientific Notation Scientific Notation
Algebraic Fractions Multiplying and Dividing Fractions
Factoring Factoring
Exponents Behavior of Exponents
Transformations
Line Reflection

Translation
Rotation Tessellations and Rotations
Dilation Properties of Isometrics
Line & Point Symmetry Symmetry

Applications of Mathematics

Modeling/Multiple Representation (15-25% of Regents Exam)
Problem Solving with Algebra & Geometry

Algebraic Representations The Language of Mathematics

Triangle Inequalities Triangle Inequalities
Formulas & Literal Equations

Geometric Formulas
Solving Basic Equations

Types of Angles (including Angles with Parallel Lines) Lines and Angles
Sum of Interior & Exterior Angles of Polygons Exterior, Interior, and Corresponding Angles
Study of Triangles Triangles
Geometric Constructions
Basic Constructions Construction
Congruence Congruencies
Similarity Similarity
Transformations in Coordinate Geometry
Reflection in a Line Transformations
Reflection in a Point Transformations
Translations Transformations
Using the Graphing Calculator to Examine Transformations
Locus
At a Fixed Distance from a Point Circles
At a Fixed Distance from a Line
Equidistant from Two Points Constructing Perpendicular Bisectors
Equidistant from Two Parallel Lines
Equidistant from Two Intersecting Lines
Compound Locus

Measurement (15-25% of Regents Exam)
Application of Formulas
Perimeter of Polygons & Circumference of Circles Perimeter Formulas

Area of Polygons & Circles Area Formulas
Volume of Solids Volume Formulas
Pythagorean Theorem Pythagorean Theorem
Apply Appropriate Units & Tools
Metric/English Conversions

Use of Tools Duplicating Segments and Angles
Measuring Angles
Analyzing in 3-D
Statistics
Collecting & Organizing Data Collecting, Representing, and Displaying Data
Measures of Central Tendency: Mean-Mode-Median Measures of Central Tendencies
Quartiles & Percentiles Quartiles, Deciles, and Percentiles
Right Triangle Trigonometry
Proportions
Ratio Ratios and Proportions
Proportions Ratios and Proportions
Scale Drawing
Percent Percent, Decimals & Fractions
Similar Figures Similarity
Similar Polygons: Ratio of Perimeters & Areas Similarity
Comparison of Volumes of Similar Solids Proportions with Area and Volume
Direct Variation Direct Variation
Applications in Coordinate Geometry
Absolute Value Absolute Value
Length of a Line Segment - Distance
Midpoint of a Segment Midpoint and Slope
Equation of a Line Graphing Linear Equations - Part I
Graphing Linear Equations - Part II
Parallel & Perpendicular Lines Slope of Parallel and Perpendicular Lines
Error in Measurement
Uncertainty (Probability) (5-10% of Regents Exam)
Theoretical versus Empirical Probability
Problems Involving Probability
Single & Compound Events Possible Outcomes of Compound Events
Problems Involving AND & OR
Computing Probabilities
Mutually Exclusive & Independent Events Independent and Dependent Events
Counting Principle Possible Outcomes of Compound Events
Sample Space Possible Outcomes of Compound Events
Tree Diagrams
Permutations & Combinations
Factorial Notation Factoring
Permutations: nPn & nPr Permutation and Combination
Combinations: nCn & nCr Permutation and Combination
Patterns & Functions (15-25% of Regents Exam)
Represent & Analyze Functions
Solve Linear Equations with Integral, Fraction, or Decimal Coefficients * Equations
Solve Linear Inequalities Inequalities