Algebra 2
- 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
- Concept 1: Adding and Subtracting Monomials
- Concept 2: Laws of Exponents; Negative 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 : GCF, DOTS, Trinomials
- Concept 11: Factoring by Grouping: Factoring Trinomials where "a" is not 1
- Concept 12: Factoring a Sum or Difference of Cubes
- Concept 13: Completing The Square
- Concept 1: Solving Higher Degree Equations Algebraically; Finding Real Roots
- Concept 2: Solving Higher Degree Equations Graphically; Using Calculator to find Zeros
- Concept 3: X and Y-Intercepts; Zeros; Connecting Graph to its Zeros; Finding Equation from the 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.; Applications
- Concept 7: The Remainder and Factor Theorems; Using Graph to find the Remainder
- Concept 8: Finding Real Zeros; Rational Zero Test
- Concept 9: Domain and Range of a Function
- Concept 10: Finding the Equation of a Quadratic Function (when given 3 points)
- 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
- 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
- Concept 1: Evaluating Functions: f(x)
- Concept 2: Domain and Range; Vertical line Test; Is it a Function?
- 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: Combinations of Functions: (f + g)(x), (f - g)(x) etc
- Concept 7: Graphs and Equations with Functions
- Concept 8: Compositions with Transformations (optional CC topic)
- Concept 9: Isometries,Transformations (optional CC topic)
- Concept 10: Review of Transformations (optional CC topic)
- Concept 11: The Conic Sections (optional CC topic)
- Concept 12: The Hyperbola and Inverse Variation (optional CC topic)
- 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 (Radical Form); Exponential Functions; Shifts of the Graphs of Functions
- Concept 1: Zero, Negative & Fractional Exponents
- Concept 2: Conversions Between Radical and Exponential Form
- Concept 3: Scientific Notation
- Concept 4 Solving Exponential and Fractional Exponent Equations
- Concept 5: Exponential Functions & their Graphs
- Concept 6: The Natural Base e; Graphing y=e^x; Applications with base "e"
- Concept 7: Applications with Exponential functions.
- Concept 8: Shifting, Reflecting & Stretching the Graphs of 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" ; Graphing e^x
- Concept 4: Solving Logarithmic Equations
- Concept 5: Using Logarithms to Solve Exponential Equations
- Concept 6: Solving Finance Problems with Logarithmic & Exponential Functions
- Concept 7: Growth or Decay?; Percent Change
- Concept 8: Exponential Growth & Decay; Half-Life; Newton's Law of Cooling
- Concept 9: Exponential and Logarithmic Regression Analysis
- 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
- Concept 1: Amplitude, Frequency, Period & Range
- Concept 2: Graphing Sine, Cosine, & Tangent
- Concept 3: Shifts of Trigonometric Graphs; Range (Max. & Min. Values); 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)
- 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)
- 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 Intervals
- Concept 8: Difference of the Means
- Concept 9: Regression Analysis: Linear, Quadratic, Exponential & Logarithmic