Academy of Hospitality and Tourism at Erasmus

Erasmus Hall Campus

911 Flatbush Avenue ½ Brooklyn, NY 11226 ½ Phone: (718) 564-2580 ½ Fax: (718) 564-2581

 

Adam D. Breier, Principal

Grace Garofolo, Assistant Principal

 

Mathematics Resources

Math A

Algebra

 

 

 

 

Math A

Regents Exam Preparation in General

 

Algebra

Regents Exam Preparation by Topic

·        Number Sense and Operations Strand

Ø       Number Theory

·         Properties of Real Numbers

Ø       Operations

·         Radicals

·         Scientific Notation

·         Fractions, Percents, Ratios, Proportions

·         Direct Variation

·         Exponents (Powers)

·         Factorials

·         Absolute Value

Ø       Pre-Algebra Review (a review of some topics needed for Algebra)

®      Rational and Irrational Numbers

®      Order of Operations

®      Signed Numbers

·        Algebra Strand

Ø       Variables and Expressions

·         Algebraic Representations

·         Addition and Subtraction of Polynomials

·         Multiplication of Polynomials

·         Division of Polynomials

·         Algebraic Fractions and Equations

·         Factoring

Ø       Equations and Inequalities

·         Algebraic Translations

·         Linear Equations

·         Systems of Linear Equations (Algebraic and Graphic)

·         Literal Equations

·         Quadratic Equations

·         Linear-Quadratic Systems

·         Exponential Growth and Decay

·         Linear Inequalities (single variable)

·         Graphing Linear Inequalities

·         Systems of Inequalities

Ø       Patterns, Functions, and Relations

·         Set-builder and Interval Notation

·         Working with Sets and Venn Diagrams

·         Definition of Function

Ø       Trigonometric Functions

·         Pythagorean Theorem

·         Trigonometric Ratios (using sine, cosine, tangent)

·        Geometry Strand

Ø       Coordinate Geometry

·         Slopes and Equations of Lines

·         Parallels and Perpendiculars

·         Parabolas

·         Graphing Functions and Examining Coefficients

Ø       Shapes

·         Area and Perimeter of Polygons & Circles

·         Volume and Surface Area of Rectangular Solids and Cylinders

·        Measurement Strand

Ø       Measurement

·         Metric/English Conversions and Rates

·         Error in Measurement

·        Probability and Statistics Strand

Ø       Working with Data

·         Categorizing Data and Bias

·         Central Tendency: Mean-Mode-Median

·         Displaying Data (histogram, cumulative frequency histogram, quartiles, etc.)

·         Scatter Plots, Correlation, Line of Best Fit, Prediction

·         Percentiles and More Quartiles

Ø       Probability

·         Counting Principle

·         Permutations

·         Sample Spaces and Tree Diagrams

·         Single & Compound Events

·         Theoretical versus Empirical Probability

·         Mutually Exclusive & Independent Events, Complement

·         Conditional Probability

·         Problems Involving AND & OR

 

 

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