Regents Prep Math A


Formula Sheet | About Exam | Study Tips | | Teaching Strategies | HS Ace: Math | Index
Teacher Resources | SED & Old ExamsMath A Headings | Graph Calculator Guidelines

    

 PLEASE start to Re-Link!!!!

All of the materials from this Math A website have been integrated into the new Algebra and/or Geometry websites.  Since January 2009 saw the last administration of the Math A Regents Examination, this Math A site will be taken down to allow for server space for the new sites.  By the end of the summer, this site will be gone, but the materials remain available in the new curricular sites. 

Please start to adjust your links to the new Algebra and/or Geometry websites. 


 

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


2. Numbers & Numeration   (5-10% of Regents Exam)

          Rational & Irrational Numbers
          Approximations of Irrational Numbers
          Properties of Real Numbers 


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


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 *
          
(opens in a new window)

      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


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 * 
             
(scatter plots, box & whisker, stem & leaf, line of best fit)
          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


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


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

Contact Person: Donna M. Roberts (donrob@twcny.rr.com)


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