 #### Online Math Tutors

We offer online Math tutoring for grades 4 to 12.

## Subject Areas

• Multiplication
• Subtraction
• Division
• Inequalities
• Intro to word problems with one variable
• Intro to solving equations with one variable
• Number line
• Introduction to fractions
• Figures/shapes
• Grouping shapes
• Introduction to combinations
• Perimeters of squares and rectangles and triangles
• Order of operations
• Least Common Multiple
• Greatest Common Factor
• 6/7 – Basics
• Naming decimal places
• Reading and writing whole numbers
• Rounding numbers
• 6/7 – Number Theory
• Divisibility and factors
• Factoring numbers
• Factoring monomials
• Greatest common factor
• Least common multiple
• Arithmetic
• Rounding numbers
• Converting between fractions and decimals
• Converting between percents, fractions, and decimals
• Variable and verbal expressions
• Adding and subtracting fractions and mixed numbers
• Dividing integers
• Multiplying integers
• Multiplying decimals
• Multiplying and dividing fractions and mixed numbrs
• Order of operations
• Evaluating variable expressions
• Algebraic Expressions
• Graphing single-variable inequalities
• One-step inequalities by adding and subtracting
• One-step inequalities by multiplying and dividing
• Two-step inequalities
• Multi-step inequalities
• Proportion and Percentages
• Converting between percents, fractions, and decimals
• Percent problems, straightforward
• Finding percent change
• Markup, discount, and tax
• Proportions
• Proportions word problems
• Similar figures
• Similar figure word problems
• Simple and compound interest
• Equations
• One-step equations
• Two-step equations
• Word problems
• Multi-step equations
• Plane Figures
• Rigid Transformations
• Translations
• Rotations
• Reflections
• Angle relationships
• The Pythagorean Theorem
• The distance formula
• Area of triangles
• Area of squares, rectangles, and parallelograms
• Area of trapezoids
• Area and circumference of circles
• Solid Figures
• Classifying solids
• Volume
• Surface area
• Linear Functions
• Finding slope
• Graphing lines using slope-intercept form
• Graphing lines using standard form
• Writing linear equations
• Graphing linear inequalities
• Systems of Equations
• Solving systems of linear equations by graphing
• Solving systems of equations by substitution
• Systems of equations word problems
• Polynomials
• Factoring polynomials
• Multiplying a polynomial and a monomial
• Multiplying binomials
• Multiplication property of exponents
• Division property of exponents
• Powers of products and quotients
• Writing scientific notation
• Square roots
• Word Problems
• One-step equation word problems
• Two-step equation word problems
• Proportion word problems
• Similar figure word problems
• Systems of equations word problems
• Statistics
• Visualizing data
• Center and spread of data
• Scatter plots

Using statistical models

• Basics
• Writing variable expressions
• Order of operations
• Evaluating expressions
• Number sets
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
• Combining like terms
• Percent of change
• Equations
• One-step equations
• Two-step equations
• Multi-step equations
• Absolute value equations
• Rational equations
• Solving proportions
• Percent problems
• Distance-rate-time word problems
• Mixture word problems
• Work word problems
• Literal equations
• Linear Equations and Inequalities
• Finding slope from a graph
• Finding slope from two points
• Finding slope from an equation
• Graphing lines using slope-intercept form
• Graphing lines using standard form
• Writing linear equations
• Graphing absolute value equations
• Graphing linear inequalities
• Systems of Equations and Inequalities
• Solving systems of equations by graphing
• Solving systems of equations by elimination
• Solving systems of equations by substitution
• Systems of equations word problems
• Graphing systems of inequalities
• Exponents
• Exponential functions and graphs
• Properties of exponents
• Writing numbers in scientific notation
• Operations with scientific notation
• Polynomials
• Naming polynomials
• Multiplying polynomials
• Multiplying special case polynomials
• Factoring special case polynomials
• Factoring by grouping
• Dividing polynomials
• Completing the square
• by taking square roots
• by factoring
• by completing the square
• Division property of exponents
• Using the distance formula
• Using the midpoint formula
• Rational Expressions
• Simplifying rational expressions
• Finding excluded values/restricted values
• Multiplying rational expressions
• Dividing rational expressions
• Dividing polynomials
• Adding and subtracting rational expressions
• Solving rational equations
• Word Problems
• Distance-rate-time word problems
• Mixture word problems
• Work word problems
• Systems of equations word problems
• Trigonometry
• Finding trig ratios
• Finding angles of triangles
• Finding side lengths of triangles
• Statistics
• Visualizing data
• Center and spread of data
• Scatter plots
• Using statistical models
• Review of Algebra
• Review of equations
• Simplifying square roots
• Adding and subtracting square roots
• Multiplying square roots
• Dividing square roots

Basics of Geometry

• Line segments and their measures inches
• Line segments and their measures cm
• Angles and their measures
• Classifying angles
• Naming angles
• Angle pair relationships
• Understanding geometric diagrams and notation

Parallel Lines and the Coordinate Plane

• Parallel lines and transversals
• Proving lines parallel
• Points in the coordinate plane
• The Midpoint Formula
• The Distance Formula
• Parallel lines in the coordinate plane

Congruent Triangles

• Classifying triangles
• Triangle angle sum
• The Exterior Angle Theorem
• Triangles and congruence
• SSS and SAS congruence
• ASA and AAS congruence
• SSS, SAS, ASA, and AAS congruences combined
• Right triangle congruence
• Isosceles and equilateral triangles

Properties of Triangles

• Midsegment of a triangle
• Angle bisectors
• Medians
• Centroid
• The Triangle Inequality Theorem
• Inequalities in one triangle

Similarity

• Solving proportions
• Similar polygons
• Using similar polygons
• Similar triangles
• Similar right triangles
• Proportional parts in triangles and parallel lines

• Properties of parallelograms
• Properties of trapezoids
• Areas of triangles and quadrilaterals
• Introduction to polygons
• Polygons and angles
• Areas of regular polygons

Right Triangles

• The Pythagorean Theorem and its Converse
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems

Trigonometry

• ratios
• Inverse trig. ratios
• Solving right triangles
• Multi-step trig. problems
• Trigonometry and area

Circles

• Arcs and central angles
• Arcs and chords
• Circumference and area
• Inscribed angles
• Tangents to circles
• Secant angles
• Secant-tangent and tangent-tangent angles
• Segment measures
• Equations of circles

Surface Area and Volume

• Identifying solid figures
• Volume of prisms and cylinders
• Surface area of prisms and cylinders
• Volume of pyramids and cones
• Surface area of pyramids and cones
• More on nets of solids
• Spheres
• Similar solids

Transformations

• Translations
• Rotations
• Reflections
• All transformations combined

Constructions

• Line segments
• Perpendicular segments
• Angles
• Triangles
• Medians of triangles
• Altitudes of triangles
• Angle bisectors
• Circles

Statistics & Probability

• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutually exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations
• Basics
• Order of operations
• Evaluating expressions
• Simplifying algebraic expressions
• Equations and Inequalities
• Multi-step equations
• Work word problems
• Distance-rate-time word problems
• Mixture word problems
• Absolute value equations
• Multi-step inequalities
• Compound inequalities
• Absolute value inequalities
• Linear Relations and Functions
• Review of linear equations
• Graphing absolute value functions
• Graphing linear inequalities
• Systems of Equations and Inequalities
• Systems of two linear inequalities
• Systems of two equations
• Systems of two equations, word problems
• Points in three dimensions
• Planes
• Systems of three equations, elimination
• Systems of three equations, substitution
• Cramer’s rule:2×2,3×3
• Matrices
• Basic matrix operations
• Matrix multiplication
• All matrix operations combined
• Determinants:2×2,3×3
• Matrix inverses
• Cramer’s rule:2×2,3×3
• Matrix equations
• Geometric transformations with matrices
• Complex Numbers
• Operations with complex numbers
• Properties of complex numbers
• Rationalizing imaginary denominators
• Polynomial Functions
• Naming and simple operations
• Factoring a sum/difference of cubes
• Factoring by grouping
• Factoring using all techniques
• Factors and Zeros
• The Remainder Theorem
• Irrational and Imaginary Root Theorems
• Descartes’ Rule of Signs
• More on factors, zeros, and dividing
• The Rational Root Theorem
• Polynomial equations
• Basic shape of graphs of polynomials
• Graphing polynomial functions
• The Binomial Theorem
• Properties of parabolas
• Vertex form
• Solving quadratic equations w/ square roots
• Solving quadratic equations by factoring
• Completing the square
• Solving equations by completing the square
• Solving equations with the quadratic formula
• The discriminant
• General Functions
• Evaluating functions
• Function operations
• Inverse functions
• Conic Sections
• Graphing & properties of parabolas
• Equations of parabolas
• Graphing & properties of circles
• Equations of circles
• Graphing & properties of ellipses
• Equations of ellipses
• Graphing & properties of hyperbolas
• Equations of hyperbolas
• Classifying conic sections
• Eccentricity
• Radical Functions and Rational Exponents
• Simplifying rational exponents
• Square root equations
• Rational exponent equations
• Rational Expressions
• Graphing simple rational functions
• Graphing general rational functions
• Simplifying rational expressions
• Multiplying / dividing rational expressions
• Adding / subtracting rational expressions
• Complex fractions
• Solving rational equations
• Sequences and Series
• General sequences
• Arithmetic sequences
• Geometric sequences
• Comparing Arithmetic/Geometric Sequences
• General series
• Arithmetic series
• Arithmetic/Geometric Means w/ Sequences
• Finite geometric series
• Infinite geometric series
• Exponential and Logarithmic Functions
• The meaning of logarithms
• Properties of logarithms
• The change of base formula
• Writing logs in terms of others
• Logarithmic equations
• Inverse functions and logarithms
• Exponential equations not requiring logarithms
• Exponential equations requiring logarithms
• Graphing logarithms
• Graphing exponential functions
• Trigonometry
• Right triangle trig: Evaluating ratios
• Right triangle trig: Missing sides/angles
• Angles and angle measure
• Co-terminal angles and reference angles
• Arc length and sector area
• Trig ratios of general angles
• Exact trig ratios of important angles
• The Law of Sines
• The Law of Cosines
• Graphing trig functions
• Translating trig functions
• Angle Sum/Difference Identities
• Double-/Half-Angle Identities
• Statistics & Probability
• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutualy exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations
• Functions
• Continuity
• Extrema, intervals of increase and decrease
• Power functions
• Average rates of change
• Transformations of graphs
• Piecewise functions
• Operations
• Inverses
• Power, Polynomial, and Rational Functions
• Graphs, real zeros, and end behavior
• Dividing polynomial functions
• The Remainder Theorem and bounds of real zeros
• Writing polynomial functions and conjugate roots
• Complex zeros & Fundamental Theorem of Algebra
• Graphs of rational functions
• Rational equations
• Polynomial inequalities
• Rational inequalities
• Exponential and Logarithmic Expressions
• Graphing exponential functions
• Exponential equations not requiring logarithms
• Exponents and logarithms
• Evaluating logarithms
• Logarithms and exponents as inverses
• Properties of logarithms
• Writing logs in terms of others
• Exponential equations requiring logarithms
• Logarithmic equations, simple
• Logarithmic equations, hard
• Graphing logarithmic functions
• Compound interest
• Trigonometry
• Angles and angle measure
• Right triangle trigonometry
• Trig functions of any angle
• Graphing trig functions
• Simple trig equations
• Inverse trig functions
• Fundamental identities
• Equations with factoring and fundamental identities
• Sum and Difference Identities
• Multiple-Angle Identities
• Product-to-Sum Identities
• Equations and Multiple-Angle Identities
• The Law of Sines
• The Law of Cosines
• Parametric Equations
• Parametric equations
• Projectile motion
• Polar Coordinates
• Polar coordinates
• Graphs of polar equations
• Polar and rectangular forms of equations
• Polar forms of conic section
• Complex numbers and polar form
• Vectors
• Vector basics
• Vector operations
• Dot products
• Three-Dimensional Vectors
• 3D vector basics
• 3D vector operations
• Vector cross products
• Matrices and Systems
• Matrix operations
• Matrix inverses and determinants
• Matrix equations
• Cramer’s Rule
• Multivariable linear systems and row operations
• Partial fraction decomposition
• Conic Sections
• Parabolas
• Circles
• Ellipses
• Hyperbolas
• Rotations of conic sections
• Discrete Mathematics
• Sample spaces & Fundamental Counting Principle
• Permutations
• Combinations
• Permutations vs combinations
• The Binomial Theorem
• Mathematical induction
• Probability
• Independent and dependent events
• Mutually exclusive events
• Probability with combinatorics
• Probability with combinatorics – binomial
• Sequences and Series
• General sequences and series
• Arithmetic sequences and series
• Geometric sequences and series
• Power series
• Introduction to Calculus
• Limits by direct evaluation
• Limits at kinks and jumps
• Limits at removable discontinuities
• Limits at essential discontinuities
• Limits at infinity
• Definition of the derivative
• Instantaneous rates of change
• Power rule for differentiation
• Motion along a line
• Approximating area under a curve
• Area under a curve by limit of sums
• Indefinite integrals
• Limits
• Limits by Direct Evaluation
• Limits at Jump Discontinuities and Kinks
• Limits at Removable Discontinuities
• Limits at Removable Discontinuities with Trig
• Limits at Essential Discontinuities
• Limits at Infinity
• Applications of Differentiation
• Derivative at a Value
• Slope at a Value
• Tangent Lines
• Normal Lines
• Points of Horizontal Tangents
• Rolle’s Theorem
• Mean Value Theorem
• Intervals of Increase and Decrease
• Intervals of Concavity
• Relative Extrema
• Absolute Extrema
• Optimization
• Curve Sketching
• Comparing a Function and its Derivatives
• Motion Along a Line
• Related Rates
• Differentials
• Newton’s Method
• Limits in Form of Definition of Derivative
• L’Hôpital’s Rule
• Definite Integration
• Approximating Area Under a Curve
• Area Under a Curve by Limit of Sums
• Riemann Sum Tables
• First Fundamental Theorem of Calculus
• Substitution for Definite Integrals
• Mean Value Theorem for Integrals
• Second Fundamental Theorem of Calculus
• Differential Equations
• Slope Fields
• Introduction to Differential Equations
• Separable Equations
• Exponential Growth and Decay
• Continuity
• Determining & Classifying
• Differentiation
• Average Rates of Change
• Definition of the Derivative
• Instantaneous Rates of Change
• Power, Constant, and Sum Rules
• Higher Order Derivatives
• Product Rule
• Quotient Rule
• Chain Rule
• Differentiation Rules with Tables
• Chain Rule with Trig
• Chain Rule with Inverse Trig
• Chain Rule with Natural Logarithms and Exponentials
• Chain Rule with Other Base Logs and Exponentials
• Logarithmic Differentiation
• Implicit Differentiation
• Derivatives of Inverse Functions
• Indefinite Integration
• Power Rule
• Logarithmic Rule and Exponentials
• Trigonometric Functions
• Inverse Trigonometric Forms
• Substitution with Power Rule
• Substitution with Logarithms and Exponentials
• Substitution with Trigonometric Functions
• Substitution with Inverse Trigonometric Forms
• Integration by Parts
• Applications of Integration
• Area Under a Curve
• Area Between Curves
• Volume by Slicing – Washers and Disks
• Volume by Cylinder Method
• Volume Using Known Cross Sections
• Motion Along a Line Revisited