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8th Grade Mathematics
Common Core Algebra
Common Core Geometry
Common Core Algebra II
Precalculus (In Progress)
Calculus
Regents Review by Section
COMMON CORE REGENTS Exams
Intensive Regents Review
MRN REVIEW
COMMON CORE ALGEBRA
Topic A: The Real Number System & Algebraic Expressions
Concept 1: Properties of Real Numbers
Concept 2: Order of Operations; Signed Numbers; Evaluating Absolute Value
Topic B: Linear Equations & Word Problems; Percentage; Distance Problems; Dimensional Analysis
Concept 1: Solving Linear Equations
Concept 2: Solving Equations with Multiple Variables
Concept 3: Number, Consecutive Integer and Separation Problems
Concept 4: Coin, Stamp and Age Problems
Concept 5: Perimeter Problems
Concept 6: Rates and Dimensional Analysis
Concept 7: Percent; Percent Change
Concept 8: Percent Error; Relative Error; Rounding Off
Concept 9: Distance, Speed & Time Problems
Topic C: Inequalities (Interval Notation) & Absolute Value
Concept 1: Solving Absolute Value Equations
Concept 2: Inequalities and interval Notation
Concept 3: Inequality Word Problems
Topic D: Arithmetic and Geometric Sequences
Concept 1: Recursive and Explicit Sequences
Concept 2: Arithmetic Sequences
Concept 3: Geometric Sequences
Topic E: Working with Functions: Domain, Range, One-to-One Functions
Concept 1: Domain, Range and Function Notation; Appropriate Domain for a Situation
Concept 2: Evaluating Functions: Using Graphs to Evaluate a Function
Concept 3: Is a Relation a Function?; The Vertical Line Test
Concept 4: One- to- One Functions; The Horizontal Line Test
Concept 5: The Inverse of a Function
Topic F: Linear Functions, Zeros, Slope & Average Rate of Change
Concept 1: Slope
Concept 2: Finding x and y intercepts; Zeros of a Function
Concept 3: Finding the Equation of a Line: y = mx + b; Point-Slope form
Concept 4: Determining if a Point is on a Line
Concept 5: Graphing Linear Equations & Inequalities
Concept 6: Parallel and Perpendicular Lines
Concept 7: Direct Variations; Proportions
Concept 8: Applications of Linear Functions; Matching Expression with Situation
Concept 9: Average Rate of Change
Topic G: Solving Linear Systems of Equations & Inequalities
Concept 1: Solving Systems of Linear Equations Algebraically
Concept 2: Solving Systems of Linear Equations Graphically
Concept 3: Graphing a System of Linear Inequalities
Concept 4: Problem Solving with Systems of Linear Equations
Topic H: Parent Functions; Shifts, Reflections & Stretches; Piecewise Functions; Increasing & Decreasing Functions
Concept 1: Parent Functions; Shifting the Graphs of Functions
Concept 2: Increasing, Decreasing, and Constant Functions
Concept 3: Graphing Piecewise Functions
Concept 4: Interpreting Speed, Distance & Time Graphs
Topic I: Exponents; Exponential & Absolute Value Functions
Concept 1: Multiplying & Dividing Monomials; Working with Exponents
Concept 2: Working with Negative and Zero Exponents
Concept 3: Scientific Notation
Concept 4: Working with Rational (Fractional) Exponents
Concept 5: Solving Exponential Equations
Concept 6: Graphing Exponential & Absolute Value Functions
Concept 7: Applications of Exponential Functions; Growth and Decay
Topic J: Operations with Polynomials
Concept 1: Adding and Subtracting Monomials; Like Terms
Concept 2: Adding and Subtracting Polynomials; Degree & Standard Form of a Polynomial
Concept 3: Multiplying Polynomials; The FOIL Method
Concept 4: Dividing Polynomials; Long Division
Topic K: Techniques of Factoring
Concept 1: Greatest Common Factor (GCF)
Concept 2: Factoring a Difference of Two Squares: D.O.T.S.
Concept 3: Factoring Trinomials
Concept 4: Factoring Trinomials of the form ax^2 + bx + c
Concept 5: Factoring Completely
Concept 6: Factoring by Grouping
Topic L: Rational (Fractional) Expressions & Equations
Concept 1: Reducing Algebraic Fractions
Concept 2: Undefined Fractions
Concept 3: Multiplying and Dividing Algebraic Fractions
Concept 4: Adding and Subtracting Algebraic Fractions
Concept 5: Solving Fractional Equations
Topic M: Radicals & Solving Quadratic Equations
Concept 1: Simplifying Radicals; Irrational Numbers
Concept 2: Adding and Subtracting Radicals
Concept 3: Multiplying and Dividing Radicals
Concept 4: The Pythagorean Theorem (Review Topic)
Concept 5: Solving Quadratic Equations by Factoring & Square Roots
Concept 6: Solving Quadratic Equations Using the Quadratic Formula
Concept 7: Solving Quadratic Equations by Completing The Square
Concept 8: Solving a Linear-Quadratic System Algebraically
Topic N: Graphing Quadratics; The Parabola; Vertex Form; Systems of Equations
Concept 1: Graphing a Quadratic Function; The Parabola: axis of symmetry
Concept 2: Vertex Form of the Equation of a Parabola; domain, range, maximums & minimums
Concept 3: Solving Linear-Quadratic Systems Graphically
Concept 4: Shifting, Reflecting, & Stretching the Graphs of Functions
Topic O: Applications of Quadratics
Concept 1: Solving Quadratic Word Problems
Concept 2: Applications of Quadratic Functions
Topic P: Statistics
Concept 1: Surveys, Experiments and Bias
Concept 2: Measures of Central Tendencies: Mean, Mode, Median; Interquartile Range, Outliers
Concept 3: Interquartile Range, Outliers, Quartiles, Skewed and Symmetric Distributions
Concept 4: Standard Deviation
Concept 5: Linear Regression: Line of Best Fit; Correlation Coefficient
Concept 6: Correlation and Causation; Bivariate and Univariate Data
Concept 7: Two-Way Tables
Concept 8: Residuals and Residual Plots
Concept 9: Graphs in Statistics: Histograms (Quartiles), Box & Whisker, Stem & Leaf
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