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COMMON CORE REGENTS Exams
Intensive Regents Review
MRN REVIEW
COMMON CORE ALGEBRA II
Prereq: Quadratics, Inequalities and Absolute Value
Concept 1: Solving Absolute Value Equations
Concept 2: Solving Absolute Value Inequalities
Concept 3: Solving Quadratic Equations by Factoring & Square Root Method
Concept 4: Quadratic Formula
Concept 5: Applications of Quadratic Equations
Concept 6: Solving Quadratic Inequalities
Concept 7: Solving Rational (Fractional) Inequalities; Interval Notation
Topic A: Working with Monomials and Polynomials; Synthetic & Long Division; Factoring & Radical Review
Concept 1: Adding and Subtracting Monomials
Concept 2: Laws of Exponents
Concept 3: Operations with Polynomials; Applications with Polynomials
Concept 4: Synthetic and Long Division
Concept 5: Dividing Polynomials using the Tabular Method
Concept 6: Simplifying a Radical
Concept 7: Adding and Subtracting Radicals
Concept 8: Multiplying and Dividing Radicals
Concept 9: Rationalizing a Denominator
Concept 10: Factoring Review
Concept 11: Factoring by Grouping
Concept 12: Factoring a Sum or Difference of Cubes
Concept 13: Completing The Square
Topic B: Zeros, Graphs and Applications of Polynomial Functions; The Remainder Theorem
Concept 1: Solving Higher Degree Equations Algebraically
Concept 2: Solving Higher Degree Equations Graphically; Using Calculator to find Zeros
Concept 3: X-Intercepts, Y-Intercepts & Zeros
Concept 4: Multiplicity of a Zero; The Degree of a Polynomial
Concept 5: End Behavior of the Graph of a Function; Graphing Polynomial Functions
Concept 6: Increasing, Decreasing, Odd & Even Functions; Relative max. and mins.
Concept 7: The Remainder and Factor Theorems
Concept 8: Finding Real Zeros; Rational Zero Test
Concept 9: Domain and Range of a Function
Topic C: Working with Rational (Fractional) Expressions
Concept 1: Undefined Fractions
Concept 2: Reducing Algebraic Fractions
Concept 3: Multiplying and Dividing Algebraic Fractions
Concept 4: Adding and Subtracting Fractions
Concept 5: Simplifying Complex Fractions
Concept 6: Solving Fractional Equations
Concept 7: Applications of Fractional Equations: Word & Work Problems
Topic D: The Complex Numbers (Imaginary Numbers); Radical Equations; Equations with Imaginary Roots
Concept 1: Solving Radical Equations
Concept 2: Imaginary Numbers
Concept 3: Adding, Subtracting & Graphing Complex Numbers
Concept 4: Multiplying and Dividing Complex Numbers
Concept 5: Quadratic Equations with Imaginary Roots
Concept 6: Nature of the Roots of a Quadratic Equation, The Discriminant
Concept 7: Finding all Zeros; Product of Linear Factors
Concept 8: Sum & Product Of the Roots Of a Quadratic Equation; Writing Eqs. when given the Roots
Topic E: Functions (Inverses, compositions), Conic Sections, Transformations
Concept 1: Evaluating Functions: f(x)
Concept 2: Domain and Range; Vertical line Test
Concept 7: Graphs and Equations with Functions
Concept 3: Finding an Inverse Algebraically and Graphically
Concept 4: One-to-One and Onto Functions
Concept 5: Composition of Functions: f(g(x))
Concept 6: The Hyperbola and Inverse Variation
Concept 7: The Conic Sections
Concept 8: Compositions with Transformations
Concept 9: Isometries,Transformations
Topic F: Systems of Equations; The Circle; The Parabola
Concept 1: Solving a Linear System of Equations (Two Equations & Two Variables)
Concept 2: Solving a System of Equations in Three Variables
Concept 3: Solving Quadratic-Linear Systems of Equations (Parabola and a Line)
Concept 4: The Parabola: Focus, Directrix & Vertex
Concept 5: Equation of a Circle (Completing the Square)
Concept 6: Systems of Equations Involving Circles
Concept 7: Inverse Variation and the Hyperbola
Topic G: Rules of Exponents; Exponential Functions; Shifts of the Graphs of Functions
Concept 1: Zero, Negative & Fractional Exponents; Converting Fractional Exponents to Radical Form
Concept 2: Scientific Notation
Concept 3: Solving Exponential and Fractional Exponent Equations
Concept 4: Exponential Functions & their Graphs
Concept 5: The Natural Base e; Graphing y=e^x
Concept 6: Shifting, Reflecting & Stretching the Graphs of Functions
Topic H: Logarithmic Functions; Applications of Logarithmic and Exponential Functions
Concept 1: The Logarithmic Function; Converting to Exponential Form
Concept 2: Properties of Logarithms
Concept 3: The Natural Log: ln x; the Base "e"
Concept 4: Solving Logarithmic Equations
Concept 5: Using Logarithms to Solve Exponential Equations
Concept 6: Solving Finance Problems with Logarithmic & Exponential Functions
Concept 7: Percent Change; Growth and Decay
Concept 8: Exponential Growth & Decay; Half-Life; Newton's Law of Cooling
Topic I: Graphing Logarithmic Functions; Domain & Range; Inverses
Concept 1: Graphs of Logarithmic Functions; Domain and Range of Log Functions
Concept 2: Finding the Inverse of Exponential & Logarithmic Functions
Topic J: Arithmetic & Geometric Sequences and Series; Average Rate of Change
Concept 1: Sequences: Recursive & Explicit
Concept 2: Arithmetic Sequences
Concept 3: Geometric Sequences
Concept 4: Sigma Notation
Concept 5: Finite Arithmetic and Geometric Series (Sums)
Concept 6: Average Rate of Change
Topic K: Beginning Trigonometry
Concept 1: Trigonometry of the Right Triangle: SohCahToa
Concept 2: Quadrantal and Coterminal Angles
Concept 3: Find the Exact Value of Trig. Expressions; Special Triangles
Concept 4: Expressing as a Function of a Positive Acute Angle: Reference Angles
Concept 5: The Unit Circle; Determining the Quadrant where an Angle Terminates
Concept 6: Radian/Degree Conversions
Concept 7: The Reciprocal Identities: Sec, Csc, Cot
Concept 8: Evaluating Trig. Functions in Radians
Concept 9: Arc Length and Radian Measure
Concept 10: Cofunctions
Concept 11: Trigonometry and the Calculator; Degrees & Minutes
Concept 12: Finding a Trig Function when one is Known
Concept 13: Using and Proving Basic Trigonometric Identities
Topic L: Graphs of Trig. Functions; Inverse Trig. Functions (Arc)
Concept 1: Amplitude, Frequency, Period & Range
Concept 2: Graphing Sine, Cosine, & Tangent
Concept 3: Shifts of Trigonometric Graphs; Applications of Trig. Graphs
Concept 4: Finding the Equation of a Trig. Function when Graph is Given
Concept 5: Inverse Trig. Functions: Arc (Optional Topic)
Topic M: Trig. Equations and Identities (Optional CC Topic)
Concept 1: The Sum or Difference of Two Angle Measures (Optional CC Topic)
Concept 2: Function Values of Half/Double Angle Measures (Optional CC Topic)
Concept 3: Single Function First Degree Trigonometric Equations (Optional CC Topic)
Concept 4: Single Function Second Degree Trigonometric Equations (Optional CC Topic)
Concept 5: Trigonometric Equations With Two Functions (Optional CC Topic)
Topic N: Applications Of Trigonometric Functions (Optional Topics)
Concept 1: The Law of Sines
Concept 2: Area of a Triangle
Concept 3: The Law of Cosines
Concept 4: The Ambiguous Case: How Many Triangles?
Concept 5: Applications of Trigonometry; Force Problems
Topic O: Probability
Concept 1: Simple Probabilities; Tree diagrams; Probability of "Not A"
Concept 2: The Counting Principle and Probability
Concept 3: Probability with/without Replacement
Concept 4: Adding Probabilities (P(A or B)); Sets and Venn Diagrams; Mutually Exclusiveness
Concept 5: Probability with Two-Way Tables
Concept 6: Independent and Dependent Events
Concept 7: Conditional Probability: P(A) "given" B
Concept 8: Multiplying Probabilities; P(A and B)
Concept 9: Permutations and Factorial Notation (Optional CC Topic)
Concept 10: Combinations (Optional CC Topic)
Concept 11: Probability of: Exactly; at Most; at Least (Optional CC Topic)
Concept 12: Expanding a Binomial: Finding Terms of an Expansion (Optional CC Topic)
Topic P: Statistics; Modeling Data Distributions
Concept 1: Mean; Mode, Median and Range
Concept 2: Surveys, Observational Surveys, Experiments; Bias
Concept 3: Gathering data; Standard Deviation
Concept 4: Normal Distributions
Concept 5: Z-scores and Normal Distributions
Concept 6: Sample Proportions; Simulations
Concept 7: Margin of Error; Confidence Levels
Concept 8: Difference of the Means
Concept 9: Regression Analysis: Linear, Quadratic, Exponential & Logarithmic
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