On-demand lessons are offered by topic. The price starts at $45 and depends on the number of students per session and the number and type of topics, as some topics could require more than an hour or multiple sessions. Please contact the teacher to get a quote for your needs and the time for the service.
Equations and Inequalities Topics
- The Real Number System
- Properties Review (Commutative, Associative, Identify, Inverse, Distributive, Closure)
- Order of Operations (Includes absolute value and square roots)
- Evaluating Expressions (Includes absolute value and square roots)
- Solving Multi-Step Equations
- Literal Equations
- Word Problems
- Multi-Step Inequalities
- Compound Inequalities
- Absolute Value Inequalities
Linear Functions & Systems Topics
- Domain and Range of a Relation
- Relations vs. Functions
- Evaluating Functions
- Linear Equations: Standard Form vs. Slope-Intercept Form
- Graphing by Slope-Intercept Form
- Graphing by x- and y-intercepts
- Vertical and Horizontal Lines
- Parallel vs. Perpendicular Lines
- Writing Linear Equations: Given Point and Slope or Two Points
- Linear Equation Applications
- Linear Regression
- Solving Systems of Equations by Graphing, Substitution, and Elimination
- Systems of Equations Applications
- Solving Systems with Three Variables
- Graphing Linear Inequalities
- Graphing Systems of Linear Inequalities
- Linear Inequalities & Systems of Inequalities Applications
- Linear Programming
Intro to Parent Functions and Transformations Topics
- Piecewise Functions
- Graphing Absolute Value Functions and Inequalities by Table
- Parent Functions
- Transformations
- Vertex Form of an Absolute Value Equation; Graphing using Transformations
- Quadratic Functions Review: Parts of the Parabola, Axis of Symmetry, Vertex, Minimum, Maximum
- Graphing Quadratic Equations and Inequalities written in Standard Form
- Graphing Quadratic Equations and Inequalities written in Vertex Form
- Converting Quadratic Equations written in Standard Form to Vertex Form (Completing the Square)
- Increasing and Decreasing Intervals
- End Behavior
- Parent Functions Review - Linear, Absolute Value, and Quadratic. Identifying special characteristics including domain, range, number of zeros, end behavior, increasing/decreasing interval
- Greatest Integer Function (Bonus Topic)
Solving Quadratics Equations and Complex Numbers Topics
- Roots of a Quadratic Equation; Solving Quadratics by Graphing
- Factoring Review
- Solving Quadratics by Factoring
- Factored Form/Vertex Form/Standard Form of a Quadratic Equation
- Simplifying Radicals Review
- Solving Quadratics by Square Roots
- Imaginary Numbers
- Solving Square Roots Problems with Imaginary Solutions
- Operations with Complex Numbers
- Organizing the Real and Complex Numbers
- Properties with Complex Numbers
- Solving Quadratics Equations by Completing the Square
- Solving Quadratics Equations by The Quadratic Formula
- The Discriminant
- Review of all Methods; Choosing the Best Method
- Geometric and Consecutive Integer Applications
- Projectile Motion
- Quadratic Regression
- Solving Nonlinear Systems of Equations (Linear-Quadratic and Quadratic-Quadratic) graphically
- Solving Nonlinear Systems of Equations (Linear-Quadratic and Quadratic-Quadratic) algebraically
Polynomial Functions Topics
- Operations with Monomials (exponent rules review)
- Classifying Polynomials
- Operations with Polynomials (add, subtract, multiply, divide by monomial)
- Factoring Polynomials (includes GCF, difference of squares, sum of cubes, difference of cubes, trinomials, four terms)
- Graphing Polynomial Functions
- Identifying Key Characteristics of a Polynomial Function: domain, range, turning points (relative minimums and maximums), end behavior, increasing intervals, decreasing intervals zeros
- Zeros of a Polynomial Function, Multiplicity, Effect of Multiplicity on a Graph
- Solving Polynomials by Factoring
- Dividing Polynomials (by factoring, long division, and synthetic division)
- The Remainder Theorem
- Operations with Functions
- Compositions of Functions
- Regression (review of linear/quadratic, cubic, quartic)
Radical Functions Topics
- Simplifying Radicals (square, cube, and 4th roots)
- Rational Exponents (converting between exponential and radical forms)
- Simplifying Expressions with Rational Exponents
- Simplifying Radicals with Variables
- Adding and Subtracting Radicals (includes higher roots)
- Multiplying Radicals (includes higher roots)
- Dividing Radicals (includes higher roots)
- Rationalizing the Denominator (monomial and binomial divisors)
- Solving Radical Equations (includes higher roots); Extraneous Solutions
- Graphing Radical Functions: Square and Cube Root Functions
- Transformations of Radical Functions
- Identifying Key Characteristics: domain, range, endpoint/turning point, end behavior, increasing/decreasing intervals
- Inverse Relations; One-to-One Functions
- Writing Inverse Functions
- Verifying Inverse Functions Graphically (as a reflection across y = x)
- Verifying Inverse Functions Algebraically (through compositions of functions)
Exponential and Logarithmic Functions Topics
- Graphing Exponential Functions
- Solving Exponential Equations (Common Base)
- Converting Between Logarithmic and Exponential Form
- Evaluating Logarithms; Change of Base Formula
- Graphing Logarithmic Functions
- Properties of Logarithms (Product, Quotient, and Power Rule)
- Expanding and Condensing Logarithms
- Solving Logarithmic Equations
- Solving Exponential Equations using Logarithms
- Base e and Natural Logarithms
- Exponential Growth and Decay
- Compound Interest
- Modeling with Exponential and Logarithmic Functions (Regression)
- Choosing the Best Model (LinReg, QuadReg, CubReg, QuartReg, ExpReg, LnReg)
Rational Functions Topics
- Simplifying Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Adding and Subtracting Rational Expressions (Like Bases)
- Adding and Subtracting Rational Expressions (Unlike Bases)
- Simplifying Complex Fractions
- Applications
- Graphing Reciprocal Functions
- Graphing Rational Functions
- Identifying Key Characteristics: x-intercepts, vertical and horizontal asymptotes, holes, domain, range
- Direct, Joint, Inverse, and Combined Variation
Conic Sections Topics
- Circles (Graphing and Writing Equations)
- Ellipses (Graphing and Writing Equations)
- Hyperbolas (Graphing and Writing Equations)
- Parabolas (Graphing and Writing Equations)
- Identifying Conic Sections written in General Form
- Writing Equations in Standard Form given General Form
- Solving Non-Linear Systems by Graphing
- Solving Non-Linear Systems Algebraically (Substitution/Elimination)
Sequences and Series Topics
- Sequences
- Recursive and Explicit Formulas
- Series and Summations
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
- Infinite Geometric Series (Convergent vs. Divergent)
- Calculating the Sum of a Convergent Geometric Series
- Arithmetic vs. Geometric Sequences
- Applications
Probability and Statistics Topics
- The Fundamental Counting Principle
- Permutations
- Combinations
- Theoretical Probability
- Probability of Independent and Dependent Events
- Conditional Probability
- The Binomial Theorem
- Binomial Probability
- Measures of Center: Mean, Median, Mode
- Measures of Variation: Mean Absolute Deviation, Standard Deviation, and Variance
- Normal Distribution and The Empirical Rule
- z-Scores
- Standard Normal Distribution
- Probability under the Normal Distribution Curve
Trigonometry Topics
- Pythagorean Theorem
- Special Right Triangles
- Trigonometric Functions (sin, cos, tan, csc, sec, cot)
- Finding Side and Angle Measures
- Applications: Angle of Elevation and Depression
- Angles in Standard Position
- Converting between Degrees and Radians
- Coterminal and Reference Angles
- Trigonometric Functions in the Coordinate Plane
- The Unit Circle
- Law of Sines
- Law of Cosines
- Area of Triangles
- Applications of Law of Sines, Law of Cosines, and Area
- Graphing Trigonometric Functions
- Trigonometric Identities
- Sum and Difference of Angle Identities
- Double-Angle and Half-Angle Identities
- Solving Trigonometric Equations
