Math Help - Learn by Concept

Learn by Concept

Concepts

• 1st Grade Math

  • Charts

  • Fractions

  • Geometry

  • Number Sense

  • Operations

  • Time

• 2nd Grade Math

  • Charts

  • Geometry

  • Money

  • Number Sense

  • Operations

  • Time

• 3rd Grade Math

  • Equations

  • Fractions

  • Geometry

  • Measurement

  • Number Sense

  • Operations

• 4th Grade Math

  • Algebra

  • Data

  • Fractions

  • Geometry

  • Measurement

  • Number Sense

  • Operations

• 5th Grade Math

  • Algebra

  • Data

  • Fractions and Mixed Numbers

  • Geometry

  • Measurement

  • Number Sense

  • Operations

• 6th Grade Math

  • Algebra

  • Data

  • Geometry

  • Measurement

  • Number Sense

  • Operations

  • Statistics

• 7th Grade Math

  • Algebra

  • Data

  • Geometry

  • Number Sense

  • Operations

  • Probability

• 8th Grade Math

  • Algebra

  • Data

  • Geometry

  • Number Sense

  • Statistics

• Abstract Algebra

  • Fields

    • Geometric Fields

    • Splitting Fields

  • Groups

    • Introduction

    • Structure Theory

  • Rings

    • Principal Ideals

• Accounting

  • Accounting and the Business Environment

  • Accounting for Merchandising Operations

  • Corporations: Dividends, Retained Earnings, and Income Reporting

  • Current Liabilities and Payroll Accounting

  • Statement of Cash Flows

  • The Adjusting Process

• Advanced Geometry

  • Coordinate Geometry

    • Graphing

      • How to graph a function

      • How to graph a logarithm

      • How to graph a quadratic function

      • How to graph a two-step inequality

      • How to graph an exponential function

      • How to graph an ordered pair

      • How to graph complex numbers

      • How to graph inverse variation

    • Transformation

      • How to find transformation for an analytic geometry equation

  • Plane Geometry

    • Quadrilaterals

      • Kites+2 topics

        • How to find the area of a kite

        • How to find the length of the diagonal of a kite

      • Rhombuses+2 topics

        • How to find the area of a rhombus

        • How to find the length of the diagonal of a rhombus

      • Trapezoids+2 topics

        • How to find the area of a trapezoid

        • How to find the length of the diagonal of a trapezoid

  • Solid Geometry

    • Cones

      • How to find the surface area of a cone

    • Tetrahedrons

      • How to find the diagonal of a tetrahedron

      • How to find the length of an edge

      • How to find the surface area of a tetrahedron

      • How to find the volume of a tetrahedron

• Algebra 3/4

  • Basic Trigonometry

  • Functions & Relations

  • Properties of Logarithms & Exponents

  • Simplify Functions

    • Simplify Radical Expressions

• Algebra 1

  • Distributive Property

    • How to use FOIL in the distributive property

    • How to use the grid method for FOIL

  • Equations / Inequalities

    • Systems of Equations

      • Equations / Solution Sets+3 topics

        • How to factor an equation

        • How to find a solution set

        • How to find the solution for a system of equations

      • Linear / Rational / Variable Equations+3 topics

        • How to find out when an equation has no solution

        • How to find the solution to a rational equation with LCD

        • How to find the solution to an equation

      • Quadratic Equations+2 topics

        • How to factor the quadratic equation

        • How to find the solution to a quadratic equation

    • Systems of Inequalities

      • How to find the solution to an inequality with addition

      • How to find the solution to an inequality with division

      • How to find the solution to an inequality with multiplication

      • How to find the solution to an inequality with subtraction

  • Functions and Lines

    • Algebraic Functions

      • How to find direct variation

      • How to find f(x)

      • How to find inverse variation

      • How to find the domain of a function

      • How to use the quadratic function

    • Equations of Lines

      • Midpoint Formula+2 topics

        • How to find the endpoints of a line segment

        • How to find the midpoint of a line segment

      • Parallel Lines+3 topics

        • How to find out if lines are parallel

        • How to find the equation of a parallel line

        • How to find the slope of parallel lines

      • Perpendicular Lines+3 topics

        • How to find out if lines are perpendicular

        • How to find the equation of a perpendicular line

        • How to find the slope of perpendicular lines

      • Points and Distance Formula+2 topics

        • How to find out if a point is on a line with an equation

        • How to find the length of a line with distance formula

      • Slope and Line Equations+2 topics

        • How to find slope of a line

        • How to find the equation of a line

    • Graphing

      • How to graph a function

      • How to graph a line

      • How to graph a point

      • How to graph a quadratic function

      • How to graph a two-step inequality

      • How to graph an absolute value function

      • How to graph an exponential function

      • How to graph an ordered pair

    • Sequences

      • How to find consecutive integers

      • How to find the answer to an arithmetic sequence

      • How to find the common difference in sequences

      • How to find the next term in an arithmetic sequence

      • How to find the nth term of an arithmetic sequence

  • Linear Equations

    • Converting Measurements

    • How to solve absolute value equations

    • How to solve one-step equations

    • How to solve two-step equations

    • How to write expressions and equations

    • Percents

    • Proportions

  • Linear Inequalities

    • Absolute Value Inequalities

    • Graphing Inequalities

    • Writing inequalities

  • Percents

    • Decimals and Percentage

      • How to find decimal equivalent to a percentage

      • How to find percentage equivalent to a decimal

    • Fractions and Percentage

      • How to find a fraction from a percentage

      • How to find fractional percentages

      • How to find percentage from a fraction

    • Monetary Percentage

      • How to find amount of profit

      • How to find simple interest

      • How to find the amount of sales tax

      • How to find the sale price

    • Percent of Change

      • How to find the percent of decrease

      • How to find the percent of increase

    • Whole and Part

      • How to find the part from the whole with percentage

      • How to find the whole from the part with percentage

  • Real Numbers

    • Counting / Sets

      • How to find the missing number in a set

      • How to find the number of integers between two other integers

    • Integer Operations

      • How to add integers

      • How to divide integers

      • How to multiply integers

      • How to subtract integers

    • Number Lines and Absolute Value

      • How to find absolute value

      • How to find value with a number line

      • How to graph an inequality with a number line

      • How to plot fractions on a number line

  • Statistics and Probability

    • How to find interquartile range

    • How to find mean

    • How to find median

    • How to find mode

    • How to find range

    • How to find standard deviation

  • Variables

    • Monomials

      • How to divide monomial quotients

      • How to multiply a monomial by a polynomial

      • How to multiply monomial quotients

    • Polynomials

      • Binomials+5 topics

        • How to find the solution of a rational equation with a binomial denominator

        • How to find the solution to a binomial problem

        • How to find the value of the coefficient

        • How to multiply binomials with the distributive property

        • How to simplify binomials

      • Factoring Polynomials+2 topics

        • How to factor a polynomial

        • How to factor a variable

      • Polynomial Operations+5 topics

        • How to add polynomials

        • How to divide polynomials

        • How to find the degree of a polynomial

        • How to multiply polynomials

        • How to subtract polynomials

      • Trinomials+5 topics

        • How to add trinomials

        • How to divide trinomials

        • How to factor a trinomial

        • How to multiply trinomials

        • How to subtract trinomials

• Algebra II

  • Basic Single-Variable Algebra

    • Equations

      • Setting Up Equations

      • Simplifying Equations

      • Solving Equations

    • Expressions

      • Setting Up Expressions

      • Simplifying Expressions

      • Solving Expressions

    • Inequalities

      • Setting Up Inequalities

      • Simplifying Inequalities

      • Solving Inequalities

    • Proportionalities

      • Direct Proportionality

      • Indirect Proportionality

    • System of Equations

      • Graphing Systems of Equations and Inequalities

  • Basic Statistics

    • Data Properties

      • Mean

      • Median

      • Mode

      • Range

    • Graphing Data

      • Distributions and Curves+2 topics

        • Normal Distributions

        • Z-scores

      • Variable Relationships+3 topics

        • Extrapolations

        • Identifying Variable Relationships

        • Interpolations

    • Representing Data

      • Box and Whisker Plots

      • Histograms

      • Scatter Plots

      • Stem and Leaf Plots

    • Statistical Concepts

      • Deviation Concepts+2 topics

        • Standard Deviation

        • Variance

      • General Concepts+3 topics

        • Frequency Distributions

        • Percentiles

        • Quartiles

  • Functions and Graphs

    • Extrema, End Behavior, and Graph Symmetry

    • Introduction to Functions

      • Domain and Range

      • Function Notation

      • Functions as Graphs

      • Inverse Functions

      • Transformations

    • Linear Functions

      • Graphing Linear Functions

      • Transformations of Linear Functions

      • Vertical and Horizontal Lines

    • Polynomial Functions

      • Graphing Polynomial Functions

      • Polynomial Functions

      • Transformations of Polynomial Functions

    • Quadratic Functions

      • Circle Functions+3 topics

        • Center and Radius of Circle Functions

        • Circle Functions

        • Graphing Circle Functions

      • Hyperbolic Functions+2 topics

        • Graphing Hyperbolic Functions

        • Hyperbolic Functions

      • Parabolic Functions+3 topics

        • Graphing Parabolas

        • Parabolic Functions

        • Transformations of Parabolic Functions

      • Quadratic Inequalities+3 topics

        • Graphing Circular Inequalities

        • Graphing Hyperbolic Inequalities

        • Graphing Parabolic Inequalities

  • Intermediate Single-Variable Algebra

    • Polynomials

      • Factoring Polynomials

      • Simplifying Polynomials

      • Solving Non Quadratic Polynomials

      • Write a Polynomial Function from its Zeros

    • Quadratic Equations and Inequalities

      • Solving Quadratic Equations+4 topics

        • Completing the Square

        • Finding Roots

        • Quadratic Formula

        • Quadratic Inequalities

      • Understanding Quadratic Equations+4 topics

        • Discriminants

        • FOIL

        • Quadratic Roots

        • Simplifying and Expanding Quadratics

    • Rational Expressions

      • Solving Rational Expressions+4 topics

        • Adding and Subtracting Rational Expressions

        • Factoring Rational Expressions

        • Multiplying and Dividing Rational Expressions

        • Solving Rational Expressions

      • Understanding Rational Expressions+3 topics

        • Definition of Rational Expression

        • Least Common Denominator

        • Properties of Fractions

  • Mathematical Relationships and Basic Graphs

    • Absolute Value

      • Graphing Absolute Value Functions

      • Solving Absolute Value Equations

    • Elementary Operations

      • Addition and Subtraction

      • Multiplication and Division

    • Exponents

      • Applying Exponents+3 topics

        • Interest Equations

        • Other Exponent Applications

        • Radioactive Decay Equations

      • Simplifying Exponents+2 topics

        • Distributing Exponents (Power Rule)

        • Multiplying and Dividing Exponents

      • Solving and Graphing Exponential Equations+3 topics

        • Asymptotes

        • Graphing Exponential Functions

        • Solving Exponential Equations

      • Understanding Exponents+4 topics

        • Fractional Exponents

        • Negative Exponents

        • Simple Exponents

        • Using e

    • Factorials

      • Multiplying and Dividing Factorials

      • Other Factorials

      • Value of e

    • Fractions

      • Adding and Subtracting Fractions

      • Least Common Denominator in Fractions

      • Multiplying and Dividing Fractions

    • Imaginary Numbers

      • Basic Operations with Complex Numbers

      • Complex Imaginary Numbers

      • Equations with Complex Numbers

      • Graphing Functions with Complex Numbers

    • Logarithms

      • Simplifying Logarithms+3 topics

        • Adding and Subtracting Logarithms

        • Logarithms with Exponents

        • Multiplying and Dividing Logarithms

      • Solving and Graphing Logarithms+2 topics

        • Graphing Logarithmic Functions

        • Solving Logarithms

      • Understanding Logarithms+3 topics

        • Log-Base-10

        • Logarithms and exponents

        • Natural Log

    • Radicals

      • Simplifying Radicals+4 topics

        • Adding and Subtracting Radicals

        • Factoring Radicals

        • Multiplying and Dividing Radicals

        • Radicals and Fractions

      • Solving and Graphing Radicals+2 topics

        • Graph Square Root, Cube Root, and Piecewise Functions

        • Solving Radical Equations

      • Understanding Radicals+3 topics

        • Non-Square Radicals

        • Radicals as Exponents

        • Square Roots

    • Summations and Sequences

      • Arithmetic Series

      • Geometric Sequences

      • Infinite Series

      • Other Sequences and Series

      • Sigma Notation

  • Number Theory

    • Irrational Numbers

    • Number Lines

    • Number Sets

    • Real Numbers

    • Types of Numbers

  • Probability

    • Binomial Theorem

    • Calculating Probability

    • Experiment Design and Identifying Bias

    • Mean, Standard Deviation, and Normal Distribution

    • Permutations

    • Using Probability to Make Decisions

  • Sum and Difference of Cubes

• Basic Arithmetic

  • Basic Statistics

    • Mean

    • Median

    • Mode

    • Range

  • Fractions

    • Linear Equations with Fractions

      • Least Common Denominator

      • Solving Linear Equations with Fractions

    • Manipulation of Fractions

      • Mixed Numbers

      • Other Fraction Manipulations

      • Reciprocals

    • Operations with Fractions

      • Addition with Fractions

      • Division with Fractions

      • Multiplication with Fractions

      • Subtraction with Fractions

  • Money and Time

    • Addition and Subtraction with Money

    • Addition and Subtraction with Time

    • Linear Equations with Money

    • Linear Equations with Time

    • Multiplication and Division with Money

  • Operations in Expressions

    • Factoring

    • Laws of Exponents

    • Order of Operations and PEMDAS

  • Percents and Decimals

    • Changing View

      • Changing a Decimal to a Percent

      • Changing a Fraction to Percent

      • Changing a Percent to a Decimal

    • Finding Part, Percent, and Whole

      • Creating Linear Equations with Part, Percent, and Whole

      • Solving Linear Equations with Part, Percent, and Whole

    • Finding Percent Change

      • Decrease

      • Increase

  • Ratios and Rates

    • Linear Equations with Ratios and Rates

    • Other Ratios and Rates

    • Ratio Tables

    • Unit Multipliers

  • Whole Numbers

    • Linear Equations with Whole Numbers

      • Creating Equations with Whole Numbers

      • Solving Equations with Whole Numbers

    • Operations with Whole Numbers

      • Addition with Whole Numbers

      • Division with Whole Numbers and Remainders

      • Multiplication with Whole Numbers

      • Rounding

      • Subtraction with Whole Numbers

• Basic Geometry

  • Plane Geometry

    • Circles

      • Clock Math+2 topics

        • How to find the angle of clock hands

        • How to find the distance between clock hands

      • Diameter+2 topics

        • How to find the length of the diameter

        • How to find the ratio of diameter and circumference

      • Radius+3 topics

        • How to find circumference

        • How to find the area of a circle

        • How to find the length of a radius

    • Lines

      • How to find a ray

      • How to find an angle of a line

    • Quadrilaterals

      • Rectangles+5 topics

        • How to find if rectangles are similar

        • How to find the area of a rectangle

        • How to find the length of the diagonal of a rectangle

        • How to find the length of the side of a rectangle

        • How to find the perimeter of a rectangle

      • Squares +4 topics

        • How to find the area of a square

        • How to find the length of the diagonal of a square

        • How to find the length of the side of a square

        • How to find the perimeter of a square

    • Triangles

      • 45/45/90 Right Isosceles Triangles+5 topics

        • How to find the area of a 45/45/90 right isosceles triangle

        • How to find the height of a 45/45/90 right isosceles triangle

        • How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem

        • How to find the length of the side of a 45/45/90 right isosceles triangle

        • How to find the perimeter of a 45/45/90 right isosceles triangle

      • Right Triangles +8 topics

        • How to find an angle in a right triangle

        • How to find if right triangles are congruent

        • How to find if right triangles are similar

        • How to find the area of a right triangle

        • How to find the height of a right triangle

        • How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

        • How to find the length of the side of a right triangle

        • How to find the perimeter of a right triangle

• Calculus 3

  • 3-Dimensional Space

    • Arc Length and Curvature

    • Cylindrical Coordinates

    • Equations of Lines and Planes

    • Spherical Coordinates

  • Applications of Partial Derivatives

    • Absolute Minimums and Maximums

    • Gradient Vector, Tangent Planes, and Normal Lines

    • Lagrange Multipliers

    • Relative Minimums and Maximums

    • Tangent Planes and Linear Approximations

  • Calculus Review

    • Derivatives

    • Integration

  • Line Integrals

    • Curl

    • Divergence

    • Fundamental Theorem of Line Integrals

    • Green's Theorem

    • Line Integrals of Vector Fields

    • Parametric Curves

  • Multiple Integration

    • Double Integrals

      • Double Integration in Polar Coordinates

      • Double Integration over General Regions

      • Double Integration with Change of Variables

      • Surface Area

    • Triple Integrals

      • Triple Integration in Cartesian Coordinates

      • Triple Integration in Cylindrical Coordinates

      • Triple Integration in Spherical Coordinates

  • Partial Derivatives

    • Limits

    • Multi-Variable Chain Rule

    • Differentials

    • Directional Derivatives

    • Partial Derivatives

  • Surface Integrals

    • Divergence Theorem

    • Stokes' Theorem

  • Vectors and Vector Operations

    • Angle between Vectors

    • Binormal Vectors

    • Cross Product

    • Distance between Vectors

    • Dot Product

    • Matrices

    • Normal Vectors

    • Parametric Curves

    • Vector Addition

    • Vector Subtraction

• College Algebra

  • Exponential and Logarithmic Functions

    • Applications

    • Exponential Functions

    • Logarithmic Functions

    • Solving Exponential Functions

    • Solving Logarithmic Functions

  • Graphs

    • Ellipses

    • Hyperbolas

    • Lines, Circles, and Piecewise Functions

    • Miscellaneous Functions

    • Parabolas

    • Rational Functions

    • Symmetry

    • Transformations

  • Polynomial Functions

    • Dividing Polynomials

    • Finding Zeros of a Polynomial

    • Graphing Polynomials

    • Partial Fractions

    • Zeros/Roots of a Polynomial

  • Review and Other Topics

    • Complex Numbers

    • Factoring Polynomials

    • Integer Exponents

    • Polynomials

    • Radicals

    • Rational Exponents

    • Rational Expressions

    • Real Exponents

  • Solving Equations and Inequallities

    • Absolute Value Equations

    • Absolute Value Inequalities

    • Applications of Quadratic Equations

    • Equations Reducible to Quadratic Form

    • Equations with more than One Variable

    • Linear Equations

    • Linear Inequalities

    • Polynomial Inequalities

    • Quadratic Equations

    • Radical Equations

    • Rational Inequalities

    • Solutions and Solution Sets

  • Systems of Equations

    • Augmented Matrices

    • Linear Systems with Three Variables

    • Linear Systems with Two Variables

    • Non Linear Systems

• Common Core Math: Kindergarten

  • Counting & Cardinality

    • Comparing Numbers

      • Compare Numbers of Objects in Two Groups: CCSS.Math.Content.K.CC.C.6

      • Comparing Two Numbers Between 1 and 10: CCSS.Math.Content.K.CC.C.7

    • Counting the Number of Objects

      • Count up to 20 Objects: CCSS.Math.Content.K.CC.B.5

      • Know Number Names in Order and Pair Objects with a Number Name: CCSS.Math.Content.K.CC.B.4a

      • Successive Number Names Refer to a Quantity That is one Larger: CCSS.Math.Content.K.CC.B.4c

      • The Last Number Name Said Tells the Number of Objects Counted, Regardless of Arrangement: CCSS.Math.Content.K.CC.B.4b

    • Number Names and Count Sequence

      • Count to 100 by Ones and by Tens: CCSS.Math.Content.K.CC.A.1

      • Write Numbers from 0 to 20: CCSS.Math.Content.K.CC.A.3

  • Geometry

    • Analyzing, Comparing, Creating, and Composing Shapes

      • Analyze and Compare Two- and Three-dimensional Shapes: CCSS.Math.Content.K.G.B.4

      • Draw and Model Shapes: CCSS.Math.Content.K.G.B.5

    • Identifying and Describing Shapes

      • Describe Objects in the Environment Using Names of Shapes: CCSS.Math.Content.K.G.A.1

      • Identify Two-dimensional and Three-dimensional Shapes: CCSS.Math.Content.K.G.A.3

      • Name Shapes: CCSS.Math.Content.K.G.A.2

  • Measurement & Data

    • Classifying Objects and Counting Objects in Each Category

      • Classify and Count Objects into Given Categories: CCSS.Math.Content.K.MD.B.3

    • Describing and Comparing Measurable Attributes

      • Compare Two Objects with a Measurable Attribute: CCSS.Math.Content.K.MD.A.2

      • Describing Measurable Attributes of Objects: CCSS.Math.Content.K.MD.A.1

  • Number & Operations in Base Ten

    • Place Value: CCSS.Math.Content.K.NBT.A.1

  • Operations & Algebraic Thinking

    • Understanding Addition and Subtraction

      • Add and Subtract Within 5: CCSS.Math.Content.K.OA.A.5

      • Decompose Numbers Less Than or Equal to 10 into Pairs: CCSS.Math.Content.K.OA.A.3

      • Find the Number that Makes 10 When Added to Any Number From 1 to 9: CCSS.Math.Content.K.OA.A.4

      • Knowing how to add

      • Knowing how to subtract

      • Represent Addition and Subtraction in Various Forms: CCSS.Math.Content.K.OA.A.1

      • Solve Addition and Subtraction Word Problems: CCSS.Math.Content.K.OA.A.2

• Complex Analysis

  • Analytic and Harmonic Functions

  • Applications of Harmonic Functions

  • Complex Functions

  • Complex Integration

  • Complex Numbers

  • Elementary Functions

  • Residue Theory

  • Taylor and Laurent Series

• Differential Equations

  • First-Order Differential Equations

    • Linear & Exact Equations

    • Separable Variables

  • Higher-Order Differential Equations

    • Linear Equations

    • Modeling Higher-Order Differential Equations

    • Undetermined Coefficients

    • Variation of Parameters

  • Introduction to Differential Equations

    • Definitions & Terminology

    • Initial-Value Problems

    • Mathematical Models

  • Numerical Solutions of Ordinary Differential Equations

    • Euler Method

    • Multi-step Methods

    • Second-Order Boundary-Value Problems

  • System of Linear First-Order Differential Equations

    • Homogeneous Linear Systems

    • Matrix Exponentials

    • Nonhomogeneous Linear Systems

  • The Laplace Transform

    • Definition of Laplace Transform

    • Transforms of Periodic Functions

• Finite Mathematics

  • Data Description and Probability Distributions

  • Games and Decisions

  • Linear Equations and Graphs

  • Linear Inequalities and Linear Programming

  • Logic, Sets, and Counting

  • Markov Chains

  • Mathematics of Finance

    • Compound Interest

    • Simple Interest

  • Probability

    • Conditional Probability

    • Independence

  • Systems of Linear Equations: Matrices

• GRE Subject Test: Math

  • Algebra

    • Abstract Algebra

      • Groups+1 topic

        • Lagrange's Theorem

    • Classifying Algebraic Functions

      • Exponential Functions+2 topics

        • Exponential Growth Applications

        • Solving Exponential Equations

      • Imaginary Numbers & Complex Functions+4 topics

        • Complex Conjugates

        • Complex Plane

        • Imaginary Roots of Negative Numbers

        • Operations on Complex Numbers

      • Inequalities+2 topics

        • Absolute Value Inequalities

        • Solving Inequalities

      • Logarithms+3 topics

        • Change of Base

        • Evaluating Logarithms

        • Logarithmic Properties

      • Polynomials+3 topics

        • Binomial Expansion

        • Fundamental Theorem of Algebra

        • Roots of Polynomials

    • Linear Algebra

      • Eigenspace Classifications+1 topic

        • Eigenvalues

      • Matrices+3 topics

        • Determinants

        • Inverses

        • Matrix Operations

      • Systems of Equations+1 topic

        • Solving Systems of Equations

      • Vectors & Spaces+1 topic

        • Vectors

  • Calculus

    • Derivatives & Integrals

      • Applications of Derivatives+2 topics

        • Maximum & Minimum

        • Taylor's Theorem

      • Finding Derivatives+4 topics

        • Chain Rule

        • Defining Derivatives with Limits

        • Product Rule

        • Quotient Rule

      • Integrals+3 topics

        • Integration by Parts

        • Substitution

        • Trigonometric Integrals

      • Partial Differentiation+2 topics

        • Functions of More Than Two Variables

        • Implicit Differentiation

    • Functions and Graphs

      • Conic Sections+2 topics

        • Circles

        • Hyperbolas

      • Coordinate Geometry +3 topics

        • Distance & Midpoint Formulas

        • Finding Equations of Lines

        • Slope & Intercept

      • Functions +3 topics

        • Classifying Functions

        • Domain & Range

        • Graphing Functions

      • Limits+2 topics

        • Evaluating Limits

        • L'Hospital's Rule

      • Trigonometric Functions+2 topics

        • Inverse Trigonometric Functions

        • Sine

    • Sequences & Series

      • Sequences +3 topics

        • Finding Terms of a Sequence

        • Infinite Sequences

        • Limits of Sequences

      • Tests for Convergence+1 topic

        • Ratio Test

  • Other Topics

    • Numerical Approximation

      • Numerical Integration+2 topics

        • Simpson's Rule

        • Trapezoidal Rule

      • Order of Convergence+1 topic

        • Comparing Rates of Convergence

    • Probability & Statistics

      • Combinational Analysis+3 topics

        • Combinations

        • Factorials

        • Permutations

      • Continuous Distributions+4 topics

        • Chi-Squared Distribution

        • Confidence Intervals & Hypothesis Testing

        • t-Distribution

        • Z-Distribution

      • Discrete Distributions+2 topics

        • Binomial Distribution

        • Uniform Distribution

      • Probability +2 topics

        • Axioms of Probability

        • Sample Spaces

      • Statistics+4 topics

        • Mean

        • Range & IQR

        • Standard Deviation

        • Variance

    • Real Analysis

      • Logic+1 topic

        • Logical Equivalence

      • Relations+3 topics

        • Complements

        • DeMorgan's Theorem

        • Union & Intersect

      • Set Theory+2 topics

        • Finite, Infinite, Countable, Not Countable Classifications

        • Subsets

• High School Math

  • Algebra I

    • Coordinate Geometry

      • Graphing+1 topic

        • How to graph an ordered pair

      • Intercepts and Curves+3 topics

        • How to find the equation of a circle

        • How to find the equation of a curve

        • How to find x or y intercept

      • Lines+12 topics

        • Midpoint and Distance Formulas+3 topics

          • How to find the endpoints of a line segment

          • How to find the length of a line with distance formula

          • How to find the midpoint of a line segment

        • Parallel Lines+3 topics

          • How to find out if lines are parallel

          • How to find the equation of a parallel line

          • How to find the slope of parallel lines

        • Perpendicular Lines+3 topics

          • How to find out if lines are perpendicular

          • How to find the equation of a perpendicular line

          • How to find the slope of a perpendicular line

  • Algebra II

    • Basic Single-Variable Algebra

      • Equations+3 topics

        • Setting up Equations

        • Simplifying Equations

        • Solving Equations

      • Expressions+2 topics

        • Setting up Expressions

        • Simplifying Expressions

      • Inequalities+1 topic

        • Solving Inequalities

      • Proportionalities+2 topics

        • Understanding Direct Proportionality

        • Understanding Indirect Proportionality

    • Basic Statistics

      • Data Properties+2 topics

        • Understanding Mean, Median, and Mode

        • Understanding Range

      • Graphing Data+5 topics

        • Distributions and Curves+2 topics

          • Understanding Normal Distributions

          • Understanding Z-Scores

        • Variable Relationships+1 topic

          • Identifying Variables and Relationships

      • Representing Data+2 topics

        • Using Box and Whisker Plots

        • Using Scatter Plots

      • Statistical Concepts+3 topics

        • Understanding Quartiles and Percentiles

        • Understanding Standard Deviation

        • Understanding Variance

    • Functions and Graphs

      • Introduction to Functions+4 topics

        • Understanding Domain and Range

        • Understanding Functional Notations

        • Understanding Inverse Functions

        • Understanding Transformation

      • Linear Functions+3 topics

        • Graphing Linear Functions

        • Transformations of Linear Functions

        • Understanding Vertical and Horizontal Lines

      • Polynomial Functions+2 topics

        • Transformations of Polynomial Functions

        • Understanding Polynomial Functions

      • Quadratic Functions+6 topics

        • Circle Functions+3 topics

          • Finding the Center and Radius

          • Graphing Circle Functions

          • Understanding Circle Functions

        • Parabolic Functions+1 topic

          • Understanding Parabolic Functions

    • Intermediate Single-Variable Algebra

      • Polynomials+4 topics

        • Factoring Polynomials

        • Simplifying Polynomials

        • Solving Non-Quadratic Polynomials

        • Understanding Polynomials

      • Quadratic Equations and Inequalities+10 topics

        • Solving Quadratic Equations+4 topics

          • Completing the Square

          • Finding Roots

          • Solving Quadratic Inequalities

          • Using the Quadratic Formula

        • Understanding Quadratic Equations+4 topics

          • Simplifying and Expanding Quadratic Equations

          • Understanding Quadratic Roots

          • Understanding the Discriminant

          • Using FOIL

      • Rational Expressions+3 topics

        • Simplifying Rational Expressions

        • Solving Rational Equations and Inequalities

        • Understanding Rational Expressions

    • Mathematical Relationships and Basic Graphs

      • Absolute Value+3 topics

        • Graphing Absolute Value

        • Solving Absolute Value Equations

        • Understanding Absolute Value

      • Elementary Operations+2 topics

        • Understanding Addition and Subtraction

        • Understanding Multiplication and Division

      • Exponents+10 topics

        • Simplifying Exponents+2 topics

          • Distributing Exponents

          • Multiplying and Dividing Exponents

        • Solving and Graphing Exponential Equations+3 topics

          • Graphing Exponential Functions

          • Solving Exponential Equations

          • Understanding Asymptotes

        • Understanding Exponents+2 topics

          • Understanding Fractional Exponents

          • Understanding Negative Exponents

      • Factorials+2 topics

        • Multiplying and Dividing Factorials

        • Understanding Factorials

      • Imaginary Numbers+2 topics

        • Understanding Imaginary and Complex Numbers

        • Using Expressions with Complex Numbers

      • Logarithms+7 topics

        • Simplifying Logarithms+2 topics

          • Multiplying and dividing Logarithms

          • Using Logarithms with Exponents

        • Solving and Graphing Logarithmic Equations+1 topic

          • Solving Logarithmic Equations

        • Understanding Logarithms+1 topic

          • Using Natural Log and Log-Base-10

      • Radicals+8 topics

        • Simplifying Radicals+2 topics

          • Factoring Radicals

          • Using Radicals with Elementary Operations

        • Solving and Graphing Radical Equations+1 topic

          • Solving Radical Equations and Inequalities

        • Understanding Radicals+2 topics

          • Expressing Radicals as Exponents

          • Understanding Square Roots

      • Summations and Sequences+3 topics

        • Understanding Arithmetic Series

        • Understanding Geometric Sequences

        • Understanding Sequences

    • Number Theory

      • Understanding Number Lines

      • Understanding Number Sets

      • Understanding Real Numbers

  • Calculus I — Derivatives

    • Derivatives

      • Applications of Derivatives+2 topics

        • Finding Regions of Concavity and Convexity

        • Finding Regions of Increasing and Decreasing Value

      • Finding Derivatives+10 topics

        • General Derivatives and Rules+4 topics

          • Finding Derivative at a Point

          • Finding Derivative of a Function

          • Finding Second Derivative of a Function

          • Using the Chain Rule

        • Specific Derivatives+4 topics

          • Understanding Derivatives of Exponents

          • Understanding Derivatives of Sums, Quotients, and Products

          • Understanding Derivatives of Trigonometric Functions

          • Using Implicit Differentiation

      • Introduction to Derivatives+1 topic

        • Conceptualizing Derivatives

    • Introduction to Integrals

      • Finding and Graphing Integrals+2 topics

        • Specific Integrals+1 topic

          • Understanding Integrals of Sums, Quotients, and Products

    • Limits

      • Calculating Limits

    • Properties of Graphs

      • Identifying Absolute and Local Extrema

      • Identifying Slope at a Point

  • Calculus II — Integrals

    • Derivatives

      • Derivative Review+1 topic

        • Finding First and Second Derivatives

      • New Concepts+1 topic

        • Understanding L'Hospital's Rule

    • Integrals

      • Finding Integrals+3 topics

        • Finding Definite Integrals

        • Finding Indefinite Integrals

        • Finding Integrals by Substitution

    • Limits

      • Using Limits with Continuity

    • Parametric, Polar, and Vector

      • Polar+1 topic

        • Understanding Polar Coordinates

      • Vector+2 topics

        • Understanding Vector Calculations

        • Understanding Vector Coordinates

    • Series in Calculus

      • Taylor and Maclaurin Series+3 topics

        • Applying Taylor Series

        • Understanding Maclaurin Series

        • Understanding Taylor Series

  • Geometry

    • Plane Geometry

      • Circles+15 topics

        • Clock Math+1 topic

          • How to find the angle of clock hands

        • Diameter and Chords+2 topics

          • How to find the length of the diameter

          • How to find the ratio of diameter and circumference

        • Radius+3 topics

          • How to find circumference

          • How to find the area of a circle

          • How to find the length of a radius

        • Sectors+5 topics

          • How to find the angle for a percentage of a circle

          • How to find the angle of a sector

          • How to find the area of a sector

          • How to find the length of an arc

          • How to find the percentage of a sector from an angle

      • Hexagons+4 topics

        • How to find an angle in a hexagon

        • How to find the area of a hexagon

        • How to find the length of the diagonal of a hexagon

        • How to find the perimeter of a hexagon

      • Lines+1 topic

        • How to find an angle of a line

      • Other Polygons+4 topics

        • How to find an angle in a polygon

        • How to find the area of a polygon

        • How to find the length of a side of a polygon

        • How to find the perimeter of a polygon

      • Pentagons+5 topics

        • How to find an angle in a pentagon

        • How to find the area of a pentagon

        • How to find the length of the diagonal of a pentagon

        • How to find the length of the side of a pentagon

        • How to find the perimeter of a pentagon

      • Quadrilaterals+29 topics

        • Kites+2 topics

          • How to find the area of a kite

          • How to find the perimeter of kite

        • Other Quadrilaterals+1 topic

          • How to find if quadrilaterals are similar

        • Parallelograms+3 topics

          • How to find an angle in a parallelogram

          • How to find the area of a parallelogram

          • How to find the perimeter of a parallelogram

        • Rectangles+5 topics

          • How to find if rectangles are similar

          • How to find the area of a rectangle

          • How to find the length of the diagonal of a rectangle

          • How to find the length of the side of a rectangle

          • How to find the perimeter of a rectangle

        • Rhombuses+3 topics

          • How to find if rhombuses are similar

          • How to find the area of a rhombus

          • How to find the perimeter of a rhombus

        • Squares+4 topics

          • How to find the area of a square

          • How to find the length of the diagonal of a square

          • How to find the length of the side of a square

          • How to find the perimeter of a square

        • Trapezoids+4 topics

          • How to find an angle in a trapezoid

          • How to find the area of a trapezoid

          • How to find the length of the side of a trapezoid

          • How to find the perimeter of a trapezoid

      • Triangles+31 topics

        • Acute / Obtuse Triangles+7 topics

          • How to find an angle in an acute / obtuse triangle

          • How to find if two acute / obtuse triangles are similar

          • How to find the area of an acute / obtuse triangle

          • How to find the height of an acute / obtuse triangle

          • How to find the length of the hypotenuse of an acute / obtuse triangle

          • How to find the length of the side of an acute / obtuse triangle

          • How to find the perimeter of an acute / obtuse triangle

        • Equilateral Triangles+4 topics

          • How to find the area of an equilateral triangle

          • How to find the height of an equilateral triangle

          • How to find the length of the side of an equilateral triangle

          • How to find the perimeter of an equilateral triangle

        • Isosceles Triangles+10 topics

          • 45/45/90 Right Isosceles Triangles+4 topics

            • How to find the area of a 45/45/90 right isosceles triangle

            • How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem

            • How to find the length of the side of a 45/45/90 right isosceles triangle

            • How to find the perimeter of a 45/45/90 right isosceles triangle

          • Acute / Obtuse Isosceles Triangles+4 topics

            • How to find an angle in an acute / obtuse isosceles triangle

            • How to find the height of of an acute / obtuse isosceles triangle

            • How to find the length of the side of of an acute / obtuse isosceles triangle

            • How to find the perimeter of an acute / obtuse isosceles triangle

        • Right Triangles+6 topics

          • How to find an angle in a right triangle

          • How to find if right triangles are similar

          • How to find the area of a right triangle

          • How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

          • How to find the length of the side of a right triangle

          • How to find the perimeter of a right triangle

    • Solid Geometry

      • Cones+2 topics

        • How to find the surface area of a cone

        • How to find the volume of a cone

      • Cubes+4 topics

        • How to find the diagonal of a cube

        • How to find the length of an edge of a cube

        • How to find the surface area of a cube

        • How to find the volume of a cube

      • Cylinders+2 topics

        • How to find the surface area of a cylinder

        • How to find the volume of a cylinder

      • Non-Cubic Prisms+3 topics

        • How to find the length of an edge of a prism

        • How to find the surface area of a prism

        • How to find the volume of a prism

      • Other Polyhedrons+2 topics

        • How to find the surface area of a polyhedron

        • How to find the volume of a polyhedron

      • Pyramids+2 topics

        • How to find the surface area of a pyramid

        • How to find the volume of a pyramid

      • Spheres+4 topics

        • How to find the diameter of a sphere

        • How to find the radius of a sphere

        • How to find the surface area of a sphere

        • How to find the volume of a sphere

  • Pre-Algebra

    • Algebraic Equations

      • How to solve one-step equations+3 topics

        • How to solve one-step equations with decimals in pre-algebra

        • How to solve one-step equations with fractions in pre-algebra

        • How to solve one-step equations with integers in pre-algebra

      • How to solve two-step equations+3 topics

        • How to solve two-step equations with decimals in pre-algebra

        • How to solve two-step equations with fractions in pre-algebra

        • How to solve two-step equations with integers in pre-algebra

      • How to write an algebraic equation in pre-algebra

      • Word Problems and Algebraic Equations+2 topics

        • How to do word problems where one quantity is unknown

        • How to do word problems where two quantities are unknown

    • Geometry

      • Area of a Figure+5 topics

        • How to find the area of a circle in pre-algebra

        • How to find the area of a parallelogram in pre-algebra

        • How to find the area of a rectangle in pre-algebra

        • How to find the area of a square in pre-algebra

        • How to find the area of a triangle in pre-algebra

      • Perimeter of a Figure+4 topics

        • How to find the circumference of a circle in pre-algebra

        • How to find the perimeter of a rectangle in pre-algebra

        • How to find the perimeter of a square in pre-algebra

        • How to find the perimeter of a triangle in pre-algebra

      • Volume of a Figure+5 topics

        • How to find the volume of a cone in pre-algebra

        • How to find the volume of a cylinder in pre-algebra

        • How to find the volume of a pyramid in pre-algebra

        • How to find the volume of a rectangular solid in pre-algebra

        • How to find the volume of a sphere in pre-algebra

    • Graphing

      • How to graph a line in pre-algebra

      • How to graph a point in pre-algebra

      • How to identify a point in pre-algebra

    • Integers

      • How to add and subtract integers in pre-algebra

      • How to combine like terms with negative numbers in pre-algebra

      • How to compare integers in pre-algebra

      • How to define integers in pre-algebra

      • How to do absolute value in pre-algebra

      • How to multiply and divide integers in pre-algebra

    • Polynomials

      • How to add and subtract polynomials in pre-algebra

      • How to divide polynomials in pre-algebra

      • How to evaluate exponents+2 topics

        • How to use the power rule for exponents in pre-algebra

        • How to use the product rule for exponents in pre-algebra

      • How to multiply polynomials in pre-algebra

      • How to solve a polynomial in pre-algebra

    • Whole Numbers

      • How to combine like terms in pre-algebra

      • How to do exponents in pre-algebra

      • How to use the distributive property in pre-algebra

      • How to use the order of operations in pre-algebra

  • Pre-Calculus

    • Functions and Graphs

      • Conic Sections+10 topics

        • Circles+1 topic

          • Solving Circle Functions

        • Ellipses+1 topic

          • Graphing Ellipses

        • Hyperbolas+2 topics

          • Graphing Hyperbolas

          • Solving Hyperbola Functions

        • Parabolas+2 topics

          • Graphing Parabolic Functions

          • Solving Parabola Functions

      • Exponential and Logarithmic Functions+3 topics

        • Simplifying Exponential Functions

        • Simplifying Logarithms

        • Solving Logarithms

      • Function Properties+4 topics

        • Finding Asymptotes

        • Finding Domain and Range

        • Finding Maxima and Minima

        • Finding Symmetries

      • Polynomials+3 topics

        • Finding Zeros of a Polynomial

        • Simplifying Polynomial Functions

        • Understanding Zeros of a Polynomial

    • Limits

      • Finding Limits

      • Finding Limits as X Approaches Infinity

      • Finding One-Sided Limits

      • Understanding the Definition of Limits

    • Sequences and Series

      • Finding Partial Sums in a Series

      • Finding Sums of Infinite Series

      • Finding Terms in a Series

      • Understanding Arithmetic and Geometric Series

      • Using Sigma Notation

  • Trigonometry

    • Angles

      • Understanding Angles

      • Understanding Angles in Different Quadrants

      • Understanding Complementary and Suplmentary Angles

      • Understanding Coterminal Angles

    • The Unit Circle and Radians

      • Understanding Angles in the Unit Circle

      • Understanding Radians and Conversions

      • Using the Unit Circle

    • Triangles

      • Law of Cosines+1 topic

        • Applying the Law of Cosines

      • Law of Sines+1 topic

        • Applying the Law of Sines

      • Right Triangles+2 topics

        • Applying Trigonometric Functions

        • Understanding 30-60-90 Triangles

      • Solving Triangles+1 topic

        • Finding Sides

    • Trigonometric Equations

      • Solving Trigonometric Equations

    • Trigonometric Functions and Graphs

      • Trigonometric Functions+2 topics

        • Simplifying Trigonometric Functions

        • Understanding Trigonometric Functions

      • Trigonometric Graphs+1 topic

        • Understanding Period and Amplitude

    • Trigonometric Identities

      • Using Basic and Definitional Identities

      • Using Identities of Inverse Operations

      • Using Identities of Squared Functions

      • Using Pythagorean Identities

      • Using Sum and Product Identities

    • Trigonometric Operations

      • Understanding Arcsine, Arccosine, and Arctangent

      • Understanding Secant, Cosecant, and Cotangent

      • Understanding Sine, Cosine, and Tangent

• HiSet: High School Equivalency Test: Math

  • Algebraic Concepts

    • Functions and function notation

      • Domain and range of a function

      • Evaluate functions for inputs in their domains

      • Functional relationship between two quantities

      • Interpret statements that use function notation in terms of a context

      • Write a function that describes a relationship between two quantities

    • Interpret parts of an expression

      • Coefficients

      • Terms

    • Perform arithmetic operations

      • Polynomials

      • Rational expressions

    • Rate of change of a function

      • Calculate and interpret rate of change over a specified interval

      • Estimate rate of change from a graph

    • Understand and apply concepts of equations

      • Linear equations

      • Quadratic equations

      • Rational and radical equations

      • Rearrange formulas/equations to highlight a quantity of interest

      • Solve equations and inequalities in one variable

    • Understand and apply concepts of expressions

      • Factor a quadratic expression to reveal the zeros of the function it defines

    • Zeroes of polynomials

      • Identification

      • Use the zeros to construct a rough graph of a function

  • Data Analysis, Probability, and Statistics

    • Find probabilities

      • Approximate the probability of a chance event

      • Compound events

      • Probability models and how to find the probabilities of events

      • Single events

    • Summarize and interpret data presented verbally, tabularly, and graphically

      • Identify lines of best fit

      • Make predictions and solve problems based on data

      • Recognize possible associations and trends in data

    • Use measures of center to draw inferences about populations

      • Calculation of measures of center

      • Summarizing numerical data sets

    • Use statistics and data to gain information about a population

      • Generalizing information about a population from a sample of the population

  • Mathematical Process Categories

    • Analyze and Interpret Information

      • Make inferences or predictions based on data or information

    • Synthesize Data and Solve Problems

      • Evaluate the reasonableness of solutions

      • Reason quantitatively

    • Understand Mathematical Concepts and Procedures

      • Identify examples and counterexamples of concepts

  • Measurement and Geometry

    • Apply concepts of density in modeling situations

      • Area

      • Volume

    • Congruence and similarity criteria for triangles

      • Prove relationships in geometric figures

      • Solve problems

    • Equations of circles

      • Area

      • Circumference

    • Problems involving right triangle trigonometry

      • Cosine

      • Sine

      • Tangent

    • Properties of lines

      • Midpoint of line segments

    • Properties of polygons and circles

      • Angle measure, central angles, and inscribed angles

      • Arc length and area of a sector

      • Area

      • Perimeter and circumference

    • Understand right triangles

      • Apply the Pythagorean Theorem

      • Special triangles

    • Understand transformations in the plane

      • Dilations

      • Reflections

      • Rotations

      • Translations

    • Use volume formulas to solve problems

      • Cones

      • Cylinders

      • Pyramids

      • Spheres

  • Numbers and Operations on Numbers

    • Measurement limitations

      • Precision

    • Multi-step real-world and mathematical problems

      • Proportional relationships

    • Properties of operations with real numbers

      • Irrational numbers

      • Rational numbers

    • Rewriting expressions

      • Radicals

      • Rational exponents and the properties of exponents

    • Solve problems using scientific notation

      • Addition and subtraction

      • Multiplication and division

    • Using reasoning to solve problems

      • Quantitative reasoning

      • Units