A–Z Math Topics: Every Lesson Listed

For lessons in teaching order, visit the course indexes: Pre-Algebra · Algebra 1 · Geometry · Algebra 2 · Trigonometry · Precalculus · Calculus 1 · Calculus 2 · Statistics · Calculus 3 · Linear Algebra · Differential Equations · Discrete Math · Finite Math and Business Calculus · Numerical Methods · Probability Theory

Jump to: A · B · C · D · E · F · G · H · I · J · K · L · M · N · O · P · Q · R · S · T · U · V · W · X · Y · Z

A

A = P(1 + r/n)ⁿᵗ → Compound Interest
A = QR → QR Factorization
A Squared Plus B Squared Equals C Squared → Pythagorean Theorem
AA Similarity (Geometry)
AA Similarity Postulate → AA Similarity
AAS Congruence Theorem → ASA, AAS and HL Congruence
ABC Formula → Quadratic Formula
Absolute and Conditional Convergence (Calculus 2)
Absolute Extrema (Calculus 1)
Absolute Value (Pre-Algebra)
Absolute Value Equations (Algebra 1)
Absolute Value Functions (Algebra 2)
Absolute Value Inequalities (Algebra 1)
Absolutely Convergent Series → Absolute and Conditional Convergence
Abstract Vector Spaces → Vector Spaces
AC Method → Factoring Trinomials When a Is Not 1
Accumulation Function → Fundamental Theorem of Calculus, Part 1
Acute, Right and Obtuse Angles → Measuring and Classifying Angles
Acute, Right or Obtuse Triangle Test → Converse of the Pythagorean Theorem
Adding and Subtracting Fractions (Pre-Algebra)
Adding and Subtracting Functions → Function Operations
Adding and Subtracting Integers (Pre-Algebra)
Adding and Subtracting Matrices → Matrix Operations
Adding and Subtracting Polynomials (Algebra 1)
Adding and Subtracting Radicals (Algebra 1)
Adding and Subtracting Rational Expressions (Algebra 2)
Adding and Subtracting Vectors (Precalculus)
Adding Complex Numbers → Operations with Complex Numbers
Adding Decimals → Operations with Decimals
Adding Fractions → Adding and Subtracting Fractions
Adding Negative Numbers → Adding and Subtracting Integers
Adding Rational Expressions → Adding and Subtracting Rational Expressions
Adding Variances → Combining Random Variables
Addition Rule and Mutually Exclusive Events (Statistics)
Additivity of Integrals → Properties of Definite Integrals
Adjoint of a Matrix → Adjugate Matrix
Adjugate Matrix (Linear Algebra)
Algebraic Expressions (Algebra 1)
Algebraic Multiplicity → Characteristic Polynomial
Algebraic Proofs (Geometry)
All Students Take Calculus (ASTC) → Trig Functions of Any Angle
Alternate Interior Angles Converse → Proving Lines Parallel
Alternate Interior Angles → Parallel Lines and Transversals
Alternating Harmonic Series → Alternating Series Test
Alternating Series Error Bound (Calculus 2)
Alternating Series Estimation Theorem → Alternating Series Error Bound
Alternating Series Remainder → Alternating Series Error Bound
Alternating Series Test (Calculus 2)
Alternative Hypothesis → Hypothesis Testing
Altitude to the Hypotenuse → Similar Right Triangles
Ambiguous Case of the Law of Sines (Trigonometry)
Amplitude and Period (Trigonometry)
Analytic Proof → Coordinate Proofs
And and Or Inequalities → Compound Inequalities
Angle Addition Formulas → Sum and Difference Formulas
Angle Addition Postulate → Measuring and Classifying Angles
Angle Between Two Vectors (2D) → Dot Product
Angle Between Two Vectors (3D) → Vectors in 3D
Angle Bisector Proportion Theorem → Triangle Angle Bisector Theorem
Angle Bisector Theorem → Perpendicular and Angle Bisectors
Angle of Depression → Angles of Elevation and Depression
Angle of Elevation → Angles of Elevation and Depression
Angle of Rotation → Rotations
Angle Pairs (Geometry)
Angle Relationships in Circles (Geometry)
Angle-Angle Similarity → AA Similarity
Angles Formed by Secants and Tangents → Angle Relationships in Circles
Angles in Standard Position (Trigonometry)
Angles of Elevation and Depression (Geometry)
Angular Velocity → Linear and Angular Speed
Annulus Method → Washer Method
Antiderivatives and Indefinite Integrals (Calculus 1)
Apothem → Area of Regular Polygons
Applications of Double Integrals (Calculus 3)
Applications of Linear Systems (Linear Algebra)
Approximating Zeros with Tangent Lines → Newton’s Method
Arc Addition Postulate → Arcs and Central Angles
Arc Length (Geometry)
Arc Length Formula (Calculus) → Arc Length of a Curve
Arc Length Formula → Arc Length
Arc Length in 3D → Arc Length of a Space Curve
Arc Length of a Curve (Calculus 2)
Arc Length of a Space Curve (Calculus 3)
Arc Length of Parametric Curves (Calculus 2)
Arc Length of Polar Curves (Calculus 2)
Arcs and Central Angles (Geometry)
Arcsine Integral → Integrals That Give Inverse Trig Functions
Arcsine, Arccosine and Arctangent → Inverse Trig Functions
Arctangent Integral → Integrals That Give Inverse Trig Functions
Area Between Curves (Calculus 1)
Area Between Polar Curves (Calculus 2)
Area Between Two Curves → Area Between Curves
Area by Line Integrals → Green’s Theorem
Area in Polar Coordinates (Calculus 2)
Area Inside Both Polar Curves → Area Between Polar Curves
Area of a Circle → Circumference and Area of Circles
Area of a Hexagon → Area of Regular Polygons
Area of a Parallelogram → Area of Rectangles and Parallelograms
Area of a Polar Region → Area in Polar Coordinates
Area of a Rectangle → Area of Rectangles and Parallelograms
Area of a Region Between Curves → Area Between Curves
Area of a Right Triangle → Area of Triangles
Area of a Sector (Geometry)
Area of a Segment of a Circle → Area of a Sector
Area of a Semicircle → Area of Composite Figures
Area of a Square → Area of Rectangles and Parallelograms
Area of a Surface of Revolution → Surface Area of Revolution
Area of a Trapezoid → Area of Trapezoids
Area of a Triangle → Area of Triangles
Area of Composite Figures (Pre-Algebra)
Area of Oblique Triangles (Trigonometry)
Area of Rectangles and Parallelograms (Pre-Algebra)
Area of Regular Polygons (Geometry)
Area of Trapezoids (Pre-Algebra)
Area of Triangles (Pre-Algebra)
Area Under a Curve (Estimate) → Riemann Sums
Area Under a Density Curve → Density Curves
Arithmetic Sequences (Algebra 1)
Arithmetic Series (Algebra 2)
ASA Congruence Postulate → ASA, AAS and HL Congruence
ASA, AAS and HL Congruence (Geometry)
Associative Property → Properties of Numbers
Asymptotes (Slant) → Slant Asymptotes
Asymptotes of a Hyperbola → Hyperbolas
Augmented Matrix → Solving Systems with Augmented Matrices
Average Rate of Change (Algebra 1)
Average Value of a Function (Calculus 1)
Average Value of an Integral → Average Value of a Function
Average → Mean, Median, Mode and Range
Ax + By = C → Standard Form of a Linear Equation
Ax = b → Matrix Equation Ax = b
Axis of Symmetry → Graphing Quadratic Functions

B

Back-to-Back Stem-and-Leaf Plot → Stem-and-Leaf Plots
Balancing Chemical Equations with Matrices → Applications of Linear Systems
Bar Chart → Bar Graphs and Pie Charts
Bar Graphs and Pie Charts (Statistics)
Base and Exponent → Exponents
Base Angles Theorem → Isosceles and Equilateral Triangles
Base Case (Induction) → Mathematical Induction
Base Rate (Probability) → Bayes’ Theorem
Basic Comparison Test → Direct Comparison Test
Basic Constructions (Geometry)
Basis and Dimension (Linear Algebra)
Basis of a Vector Space → Basis and Dimension
Basis Theorem → Basis and Dimension
Bayes’ Theorem (Statistics)
Bearings (Navigation) → Vector Word Problems
BEDMAS → Order of Operations
Bell Curve → Normal Distribution
Best Approximation Theorem → Orthogonal Projections
Better Buy → Unit Rates
Biconditional Statements → Conditional Statements
Bimodal Distribution → Describing a Distribution
Binomial Coefficient → Binomial Theorem
Binomial Distribution (Statistics)
Binomial Expansion for Any Power → Binomial Series
Binomial Expansion → Binomial Theorem
Binomial Probability Formula → Binomial Distribution
Binomial Series (Calculus 2)
Binomial Theorem (Precalculus)
binompdf and binomcdf → Binomial Distribution
Binormal Vector → Unit Tangent and Unit Normal Vectors
BINS Conditions → Binomial Distribution
Bisection Method → Intermediate Value Theorem
Block Designs and Matched Pairs (Statistics)
Blocking (Statistics) → Block Designs and Matched Pairs
BODMAS → Order of Operations
Box Method (Multiplying) → Multiplying Binomials
Box Plots (Pre-Algebra)
Box-and-Whisker Plot → Box Plots
b² − 4ac → The Discriminant

C

Candidates Test → Absolute Extrema
Cardioid → Graphing Polar Equations
Carrying Capacity (Differential Equations) → Logistic Differential Equations
Carrying Capacity → Logistic Functions
Cartesian Plane → Coordinate Plane
Categorical and Quantitative Variables (Statistics)
Categorical Variable → Categorical and Quantitative Variables
Catenary → Hyperbolic Functions
Cauchy Root Test → Root Test
Cavalieri’s Principle → Volume of Prisms and Cylinders
Center of Dilation → Dilations
Center of Mass (Calculus 2)
Center of Rotation → Rotations
Central Angle → Arcs and Central Angles
Central Limit Theorem (Statistics)
Centripetal Acceleration → Motion in Space
Centroid of a Region → Center of Mass
Centroid → Medians and Altitudes of Triangles
Chain Rule (Calculus 1)
Chain Rule for Partial Derivatives → Multivariable Chain Rule
Change of Base Formula → Properties of Logarithms
Change of Basis (Linear Algebra)
Change of Variables (Multiple Integrals) → Jacobians and Change of Variables
Change-of-Coordinates Matrix → Change of Basis
Changing the Limits of Integration → U-Substitution with Definite Integrals
Changing the Order of Integration → Double Integrals over General Regions
Characteristic Equation (Linear Algebra) → Characteristic Polynomial
Characteristic Polynomial (Linear Algebra)
Characterizations of Invertible Matrices → Invertible Matrix Theorem
Checking for Normality → Normal Probability Plots
Chi-Square Goodness-of-Fit Test (Statistics)
Chi-Square Statistic → Chi-Square Goodness-of-Fit Test
Chi-Square Test for Homogeneity → Chi-Square Test for Independence
Chi-Square Test for Independence (Statistics)
Choosing a Convergence Test (Calculus 2)
Choosing a Model (Linear, Quadratic or Exponential) → Linear, Quadratic and Exponential Models
Choosing an Integration Technique (Calculus 2)
Chord of a Circle → Parts of a Circle
Circle and Line Systems → Nonlinear Systems of Equations
Circle Equation (Center-Radius Form) → Equation of a Circle
Circulation (Green’s Theorem) → Green’s Theorem
Circumcenter and Incenter (Geometry)
Circumference and Area of Circles (Pre-Algebra)
Circumference → Circumference and Area of Circles
Circumscribed Circle → Circumcenter and Incenter
Clairaut’s Theorem → Partial Derivatives
Classical Adjoint → Adjugate Matrix
Classifying Conic Sections → Identifying Conic Sections
Classifying Critical Points (Second Derivative) → Second Derivative Test
Clearing Fractions → Multi-Step Equations
Closed Interval Method → Absolute Extrema
Closed Under Addition and Scalar Multiplication → Subspaces
CLT (Central Limit Theorem) → Central Limit Theorem
Cluster Sample → Sampling Methods
Coefficient of Determination (Statistics)
Coefficient → Variables
Cofactor Expansion (Linear Algebra)
Cofactor Matrix → Adjugate Matrix
Collapsing Series → Telescoping Series
Collinear Points → Points, Lines and Planes
Column Space → Null Space and Column Space
Combining Like Terms (Algebra 1)
Combining Radicals → Adding and Subtracting Radicals
Combining Random Variables (Statistics)
Commission → Percent Word Problems
Common Denominator → Adding and Subtracting Fractions
Common Difference → Arithmetic Sequences
Common Logarithm → Logarithms
Common Maclaurin Series → Maclaurin Series
Common Ratio → Geometric Sequences
Commutative Property → Properties of Numbers
Comparing Data Sets → Comparing Distributions
Comparing Distributions (Statistics)
Comparing Fractions → Fractions
Comparing Linear and Exponential Functions → Linear vs. Exponential Functions
Comparison Test (Limit Form) → Limit Comparison Test
Comparison Test (Series) → Direct Comparison Test
Comparison Test for Improper Integrals (Calculus 2)
Compass and Straightedge Constructions → Basic Constructions
Complement of an Event → Probability
Complement Rule → Probability Rules
Complementary Angles → Angle Pairs
Completely Randomized Design → Experimental Design
Completing the Square (Algebra 1)
Complex Conjugate Root Theorem → Fundamental Theorem of Algebra
Complex Conjugates → Operations with Complex Numbers
Complex Fractions with Variables → Complex Rational Expressions
Complex Fractions → Nested Fractions
Complex Number Division → Dividing Complex Numbers
Complex Numbers (Algebra 2)
Complex Plane → Complex Numbers
Complex Rational Expressions (Algebra 2)
Complex Solutions of Quadratic Equations (Algebra 2)
Component Form of a Vector → Magnitude and Direction of a Vector
Component of b Along a → Vector Projections
Composite Functions → Composition of Functions
Composite Linear Transformation → Composition of Linear Transformations
Composite Numbers → Prime Factorization
Composite Shapes → Area of Composite Figures
Composite Transformations → Compositions of Transformations
Composition of Functions (Algebra 2)
Composition of Linear Transformations (Linear Algebra)
Compositions of Inverse Trig Functions (Trigonometry)
Compositions of Transformations (Geometry)
Compound Fractions → Nested Fractions
Compound Inequalities (Algebra 1)
Compound Interest (Algebra 1)
Compound Shapes → Area of Composite Figures
Concave Up and Concave Down (Calculus) → Concavity and Inflection Points
Concave Up and Concave Down → Rates of Change of Functions
Concavity and Inflection Points (Calculus 1)
Concentric Circles → Parts of a Circle
Conditional Probability (Statistics)
Conditional Relative Frequency → Two-Way Tables
Conditional Statements (Geometry)
Conditionally Convergent Series → Absolute and Conditional Convergence
Cone Tank Problem → Related Rates
Confidence Interval for a Difference in Means (Statistics)
Confidence Interval for a Difference in Proportions (Statistics)
Confidence Interval for a Mean (Statistics)
Confidence Interval for a Proportion (Statistics)
Confidence Interval for Slope → Inference for Regression Slope
Confidence Intervals (Statistics)
Confidence Level → Confidence Intervals
Confounding Variable → Observational Studies and Experiments
Congruence Statement → Congruent Figures
Congruent Complements Theorem → Proving Angle Relationships
Congruent Figures (Geometry)
Congruent Segments → Segment Addition Postulate
Congruent Supplements Theorem → Proving Angle Relationships
Conic Sections → Identifying Conic Sections
Conjecture → Inductive and Deductive Reasoning
Conjugate (Radicals) → Rationalizing the Denominator
Conjugate Method for Limits → Evaluating Limits Algebraically
Consecutive Angles of a Parallelogram → Properties of Parallelograms
Consecutive Integers → Multi-Step Equations
Conservative Vector Fields (Calculus 3)
Constant Multiple Rule → Power Rule
Constant of Integration → Antiderivatives and Indefinite Integrals
Constant of Variation (Inverse) → Inverse Variation
Constant of Variation → Direct Variation
Constant → Variables
Constrained Optimization → Lagrange Multipliers
Constraints (Linear Programming) → Linear Programming
Contingency Table Test → Chi-Square Test for Independence
Continuity (Calculus 1)
Continuity Correction → Normal Approximation to the Binomial
Continuity of Functions of Two Variables → Limits of Multivariable Functions
Continuous Compound Interest → The Number e
Continuous Random Variable → Density Curves
Contour Maps → Functions of Several Variables
Control Group → Experimental Design
Convergence of Power Series → Radius and Interval of Convergence
Convergence of Sequences (Calculus 2)
Convergence Tests → Choosing a Convergence Test
Convergent and Divergent Integrals → Improper Integrals
Convergent Geometric Series → Infinite Geometric Series
Convergent Sequence → Convergence of Sequences
Converse of the Pythagorean Theorem (Geometry)
Converse, Inverse and Contrapositive → Conditional Statements
Conversion Factors → Unit Conversions
Converting Double Integrals to Polar Coordinates → Double Integrals in Polar Coordinates
Converting Fractions and Decimals (Pre-Algebra)
Converting Polar to Rectangular Coordinates → Polar Coordinates
Converting Radians to Degrees → Radians
Converting Units → Unit Conversions
Cooling Problems → Newton’s Law of Cooling
Coordinate Grid → Coordinate Plane
Coordinate Plane (Pre-Algebra)
Coordinate Proofs (Geometry)
Coordinate Vector → Change of Basis
Coplanar Points → Points, Lines and Planes
Correlation Coefficient (Statistics)
Correlation vs. Causation → Scatter Plots and Correlation
Corresponding Angles Converse → Proving Lines Parallel
Corresponding Angles → Parallel Lines and Transversals
Corresponding Parts of Congruent Triangles → CPCTC
Corresponding Parts → Congruent Figures
Cosecant Graph → Graphs of Secant, Cosecant and Cotangent
Cosecant, Secant and Cotangent → Six Trigonometric Functions
Cosine and Sine on the Unit Circle → The Unit Circle
Cosine Graph → Graphs of Sine and Cosine
Cosine Law → Law of Cosines
Cosine Rule → Law of Cosines
Cotangent Graph → Graphs of Secant, Cosecant and Cotangent
Coterminal Angles (Trigonometry)
Counterexample → Conditional Statements
CPCTC (Geometry)
Cramer’s Rule (Precalculus)
Critical Numbers → Critical Points
Critical Points (Calculus 1)
Critical Points of Functions of Two Variables → Extrema of Functions of Two Variables
Critical Value (z*) → Confidence Intervals
Critical Values of a Rational Inequality → Rational Inequalities
Cross Multiplication → Proportions
Cross Multiplying Rational Equations → Solving Rational Equations
Cross Product (Calculus 3)
Cross Section of a Cylinder → Cross Sections
Cross Sections (Geometry)
Cube Root Functions → Radical Functions
Cube Roots (Pre-Algebra)
Cubed → Exponents
Cubic Equations → Solving Polynomial Equations
Cubic Inequalities → Polynomial Inequalities
Cumulative Relative Frequency Graph → Percentiles and Z-Scores
Curl and Divergence (Calculus 3)
Curl of a Vector Field → Curl and Divergence
Curl Theorem → Stokes’ Theorem
Curvature (Calculus 3)
Curve Sketching (Calculus 1)
Cusp → Differentiability
Cutoff Values for a Normal Distribution → Normal Probability Calculations
Cycloid → Arc Length of Parametric Curves
Cylindrical Coordinates → Triple Integrals in Cylindrical Coordinates
Cylindrical Shells → Shell Method

D

D’Alembert’s Ratio Test → Ratio Test
De Moivre’s Theorem (Trigonometry)
Decibel Scale → Logarithmic Scales
Decimals to Fractions → Converting Fractions and Decimals
Decimals → Operations with Decimals
Decomposing Functions → Composition of Functions
Definite Integrals (Calculus 1)
Definition of the Derivative (Calculus 1)
Degree of a Polynomial → Polynomials
Degrees of Freedom → t-Distribution
Degrees to Radians → Radians
Denominator → Fractions
Density Curves (Statistics)
Dependence Relation (Linear Algebra) → Linear Independence
Dependent Events → Independent Events
Dependent Samples t-Test → Paired t-Test
Derivative Graph → Sketching the Graph of a Derivative
Derivative of a Composite Function → Chain Rule
Derivative of a Polynomial → Power Rule
Derivative of a Product → Product Rule
Derivative of a Quotient → Quotient Rule
Derivative of a Vector Function → Vector Functions and Space Curves
Derivative of a^x → Derivatives of Exponential Functions
Derivative of an Integral → Fundamental Theorem of Calculus, Part 1
Derivative of arcsin x → Derivatives of Inverse Trig Functions
Derivative of arctan x → Derivatives of Inverse Trig Functions
Derivative of e^x → Derivatives of Exponential Functions
Derivative of ln x → Derivatives of Logarithmic Functions
Derivative of log x → Derivatives of Logarithmic Functions
Derivative of Sine and Cosine → Derivatives of Trig Functions
Derivative of tan x → Derivatives of Trig Functions
Derivative of x^x → Logarithmic Differentiation
Derivative → Definition of the Derivative
Derivatives of Exponential Functions (Calculus 1)
Derivatives of Hyperbolic Functions → Hyperbolic Functions
Derivatives of Inverse Functions (Calculus 1)
Derivatives of Inverse Trig Functions (Calculus 1)
Derivatives of Logarithmic Functions (Calculus 1)
Derivatives of Parametric Equations (Calculus 2)
Derivatives of Polar Functions (Calculus 2)
Derivatives of Trig Functions (Calculus 1)
Descartes’ Rule of Signs (Precalculus)
Describing a Distribution (Statistics)
Determinant Method for Systems → Cramer’s Rule
Determinant of a Matrix (Precalculus)
Determinant of a Product → Properties of Determinants
Determinant Rules → Properties of Determinants
Determinants as Area and Volume (Linear Algebra)
Diagonalizable Matrix → Diagonalization
Diagonalization (Linear Algebra)
Difference in Proportions Test → Two-Proportion z-Test
Difference in Sample Means → Sampling Distributions for Differences
Difference in Sample Proportions → Sampling Distributions for Differences
Difference of Cubes → Sum and Difference of Cubes
Difference of Two Squares → Factoring the Difference of Squares
Difference Quotient (Precalculus)
Differentiability (Calculus 1)
Differential Equations (Introduction) → Verifying Solutions to Differential Equations
Differentials (Calculus 1)
Differentiating and Integrating Power Series (Calculus 2)
Dilations (Geometry)
Dimension → Basis and Dimension
Dimensional Analysis → Unit Conversions
Direct Comparison Test (Calculus 2)
Direct Comparison Test (Integrals) → Comparison Test for Improper Integrals
Direct Substitution Property → Limit Laws
Direct Variation (Algebra 1)
Directed Line Segment → Partitioning a Line Segment
Direction Angle of a Vector → Magnitude and Direction of a Vector
Direction Angles of a Vector → Vectors in 3D
Direction Fields → Slope Fields
Directional Derivatives and the Gradient (Calculus 3)
Directrix of a Parabola → Focus and Directrix of a Parabola
Disc Method → Disk Method
Discontinuity (Removable, Jump, Infinite) → Continuity
Discounts → Percent Word Problems
Discrete and Continuous Variables → Categorical and Quantitative Variables
Discrete Random Variables (Statistics)
Discriminant (Algebra 1)
Disjoint Events → Addition Rule and Mutually Exclusive Events
Disk Method (Calculus 1)
Displacement and Total Distance (Calculus 1)
Distance Around a Shape → Perimeter
Distance Between Two Points → Distance Formula
Distance Formula (Geometry)
Distance Formula in 3D → 3D Coordinate System
Distance from a Point to a Line → Proofs with Perpendicular Lines
Distance from a Point to a Plane → Equation of a Plane
Distance from Velocity → Displacement and Total Distance
Distributive Law → Distributive Property
Distributive Property (Algebra 1)
Divergence of a Vector Field → Curl and Divergence
Divergence Test (Calculus 2)
Divergence Theorem (Calculus 3)
Divergent Sequence → Convergence of Sequences
Dividing a Segment in a Ratio → Partitioning a Line Segment
Dividing by i → Dividing Complex Numbers
Dividing Complex Numbers (Algebra 2)
Dividing Decimals → Operations with Decimals
Dividing Fractions → Multiplying and Dividing Fractions
Dividing Negative Numbers → Multiplying and Dividing Integers
Dividing Polynomials by x − c → Synthetic Division
Dividing Polynomials → Polynomial Long Division
Dividing Rational Expressions → Multiplying and Dividing Rational Expressions
Divisibility Rules → Prime Factorization
Domain and Range (Algebra 1)
Domain of a Function → Domain and Range
Domain of a Logarithmic Function → Graphing Logarithmic Functions
Dot Plot → Dot Plots and Histograms
Dot Plots and Histograms (Pre-Algebra)
Dot Product (Precalculus)
Double Angle Identities → Double-Angle Formulas
Double Integrals (Calculus 3)
Double Integrals in Polar Coordinates (Calculus 3)
Double Integrals over General Regions (Calculus 3)
Double Number Line → Unit Rates
Double-Angle Formulas (Trigonometry)
Double-Blind Experiment → Experimental Design
dy/dx of an Implicit Equation → Implicit Differentiation

E

e (Euler’s Number) → The Number e
E Notation → Scientific Notation
Eigendecomposition → Diagonalization
Eigenspace → Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors (Linear Algebra)
Eigenvector → Eigenvalues and Eigenvectors
Elementary Matrices (Linear Algebra)
Elementary Matrix → Elementary Matrices
Eliminating the Parameter → Parametric Equations
Elimination Method (Algebra 1)
Ellipse Equation → Ellipses
Ellipses (Precalculus)
Ellipsoid → Quadric Surfaces
Elliptic Paraboloid → Quadric Surfaces
Empirical Rule (Statistics)
End Behavior of Polynomials (Algebra 2)
End Behavior with Limits → Limits at Infinity
Enlargement and Reduction → Dilations
Epsilon-Delta Definition of a Limit (Calculus 1)
Equation of a Circle (Geometry)
Equation of a Line → Writing Equations in Slope-Intercept Form
Equation of a Plane (Calculus 3)
Equation of a Sphere → 3D Coordinate System
Equation of a Tangent Line (Calculus 1)
Equations of Lines in 3D (Calculus 3)
Equations with Absolute Value → Absolute Value Equations
Equations with Variables on Both Sides (Algebra 1)
Equiangular Triangle → Isosceles and Equilateral Triangles
Equidistant → Perpendicular and Angle Bisectors
Equilibrium Solutions → Slope Fields
Equivalent Conditions for Invertibility → Invertible Matrix Theorem
Equivalent Fractions → Fractions
Equivalent Ratios → Ratios
Error Bound for Alternating Series → Alternating Series Error Bound
Estimating Limits from a Table → Introduction to Limits
Estimating Square Roots → Square Root
Euler Method → Euler’s Method
Euler’s Method (Calculus 2)
Evaluating Expressions → Algebraic Expressions
Evaluating Functions → Function Notation
Evaluating Limits Algebraically (Calculus 1)
Evaluation Theorem → Fundamental Theorem of Calculus, Part 2
Even and Odd Functions (Precalculus)
Exact Trig Values → Trig Values of Special Angles
Excluded Values → Simplifying Rational Expressions
Expanding and Condensing Logarithms → Properties of Logarithms
Expansion by Minors → Cofactor Expansion
Expected Counts (Chi-Square) → Chi-Square Goodness-of-Fit Test
Expected Value (Statistics)
Experimental Design (Statistics)
Experimental Probability → Probability
Explained Variation (r²) → Coefficient of Determination
Explanatory and Response Variables → Observational Studies and Experiments
Exponent Rules (Algebra 1)
Exponential Equations → Solving Exponential Equations
Exponential Functions (Algebra 1)
Exponential Growth and Decay (Algebra 1)
Exponential Models with Differential Equations (Calculus 2)
Exponential Regression (Precalculus)
Exponential vs. Linear Growth → Linear vs. Exponential Functions
Exponents (Pre-Algebra)
Exponents as Fractions → Rational Exponents
ExpReg (Calculator) → Exponential Regression
Exterior Angle Sum Theorem → Interior and Exterior Angles of Polygons
Exterior Angle Theorem → Triangle Angle Sum Theorem
Extraneous Solutions of Log Equations → Solving Logarithmic Equations
Extraneous Solutions → Solving Radical Equations
Extrema of Functions of Two Variables (Calculus 3)
Extreme Value Theorem → Absolute Extrema

F

45-45-90 Triangle → Special Right Triangles
f(g(x)) → Composition of Functions
f(x + h) − f(x) over h → Difference Quotient
f(x) → Function Notation
Factor Theorem → Remainder and Factor Theorems
Factor Tree → Prime Factorization
Factorial → Permutations and Combinations
Factoring ax² + bx + c → Factoring Trinomials When a Is Not 1
Factoring by Grouping (Algebra 1)
Factoring Completely (Algebra 1)
Factoring Cubes → Sum and Difference of Cubes
Factoring Four Terms → Factoring by Grouping
Factoring Out the GCF → Factoring Out the Greatest Common Factor
Factoring Out the Greatest Common Factor (Algebra 1)
Factoring Strategy → Factoring Completely
Factoring the Difference of Squares (Algebra 1)
Factoring Trinomials (Algebra 1)
Factoring Trinomials When a Is Not 1 (Algebra 1)
Factoring x² + bx + c → Factoring Trinomials
Fair Game → Expected Value
False Positive (Probability) → Bayes’ Theorem
Feasible Region → Linear Programming
Finding a Missing Angle in a Right Triangle → Solving Right Triangles
Finding an Inverse → Inverse Functions
Finding Coterminal Angles → Coterminal Angles
Finding Limits by Factoring → Evaluating Limits Algebraically
Finding Reference Angles → Reference Angles
Finite Geometric Series → Geometric Series
First Derivative Test (Calculus 1)
First Principles (Derivatives) → Definition of the Derivative
First Success Probability → Geometric Distribution
Fitting an Exponential Model → Exponential Regression
Five-Number Summary → Box Plots
Flipping the Inequality Sign → One-Step Inequalities
Flow Lines → Vector Fields
Fluid Force on a Plate → Hydrostatic Force
Flux Integral → Surface Integrals
Flux of a Vector Field → Surface Integrals
Flux through a Closed Surface → Divergence Theorem
Foci of a Hyperbola → Hyperbolas
Foci of an Ellipse → Ellipses
Focus and Directrix of a Parabola (Precalculus)
FOIL Method → Multiplying Binomials
Formal Definition of a Limit → Epsilon-Delta Definition of a Limit
Forward Substitution → LU Decomposition
Fourth Root → nth Roots
Fractional Exponents → Rational Exponents
Fractions (Pre-Algebra)
Fractions to Decimals → Converting Fractions and Decimals
Frequency of a Sine Wave → Amplitude and Period
Frequency Table → Dot Plots and Histograms
FTC Part 1 → Fundamental Theorem of Calculus, Part 1
FTC Part 2 → Fundamental Theorem of Calculus, Part 2
Fubini’s Theorem → Double Integrals
Function Families → Parent Functions
Function Notation (Algebra 1)
Function Operations (Algebra 2)
Function Transformations → Transformations of Functions
Functions of Several Variables (Calculus 3)
Fundamental Counting Principle → Permutations and Combinations
Fundamental Theorem for Line Integrals → Conservative Vector Fields
Fundamental Theorem of Algebra (Algebra 2)
Fundamental Theorem of Calculus, Part 1 (Calculus 1)
Fundamental Theorem of Calculus, Part 2 (Calculus 1)
Fundamental Trig Identities (Trigonometry)

G

Gabriel’s Horn → Surface Area of Revolution
Gauss’s Theorem → Divergence Theorem
Gauss-Jordan Elimination → Reduced Row Echelon Form
Gaussian Distribution → Normal Distribution
Gaussian Elimination (Linear Algebra)
GCF → Greatest Common Factor
GEMS → Order of Operations
General and Particular Solutions → Verifying Solutions to Differential Equations
General Form of a Circle → Equation of a Circle
General Form of a Conic → Identifying Conic Sections
General Multiplication Rule → Conditional Probability
General Power Rule → Chain Rule
General Solution of a Trig Equation → Solving Trig Equations
General Strategy for Factoring → Factoring Completely
Generalized Binomial Theorem → Binomial Series
geometpdf and geometcdf → Geometric Distribution
Geometric Constructions → Basic Constructions
Geometric Distribution (Statistics)
Geometric Mean Theorem → Similar Right Triangles
Geometric Mean → Similar Right Triangles
Geometric Meaning of the Determinant → Determinants as Area and Volume
Geometric Power Series → Power Series
Geometric Sequences (Algebra 1)
Geometric Series (Algebra 2)
Geometry Proofs → Two-Column Proofs
Glide Reflection → Compositions of Transformations
Goodness-of-Fit Test → Chi-Square Goodness-of-Fit Test
Gradient Fields → Vector Fields
Gradient Vector → Directional Derivatives and the Gradient
Gradient → Slope
Gram-Schmidt Orthogonalization → Gram-Schmidt Process
Gram-Schmidt Process (Linear Algebra)
Graph of Tangent (Trigonometry)
Graphing Absolute Value Functions → Absolute Value Functions
Graphing Inequalities → Graphing Two-Variable Inequalities
Graphing Logarithmic Functions (Algebra 2)
Graphing Polar Equations (Trigonometry)
Graphing Polynomial Functions (Algebra 2)
Graphing Quadratic Functions (Algebra 1)
Graphing Rational Functions (Algebra 2)
Graphing Square Root Functions → Radical Functions
Graphing Systems of Inequalities → Systems of Inequalities
Graphing the Derivative → Sketching the Graph of a Derivative
Graphing Two-Variable Inequalities (Algebra 1)
Graphing Using Intercepts → X-Intercepts and Y-Intercepts
Graphing with Derivatives → Curve Sketching
Graphs of Secant, Cosecant and Cotangent (Trigonometry)
Graphs of Sine and Cosine (Trigonometry)
Greatest Common Divisor → Greatest Common Factor
Greatest Common Factor (Pre-Algebra)
Greatest Common Factor of a Polynomial → Factoring Out the Greatest Common Factor
Green’s Theorem (Calculus 3)
Grouping Method → Factoring by Grouping
Growth Factor → Exponential Growth and Decay

H

Half Angle Identities → Half-Angle Formulas
Half-Angle Formulas (Trigonometry)
Half-Life (Differential Equations) → Exponential Models with Differential Equations
Half-Life → Exponential Growth and Decay
Harmonic Series → p-Series
Height of a Triangle → Area of Triangles
Helix → Vector Functions and Space Curves
Hemisphere → Surface Area and Volume of Spheres
Heron’s Formula → Area of Oblique Triangles
High-Leverage Point → Influential Points
Higher Roots → nth Roots
Higher-Order Derivatives (Calculus 1)
Highest Common Factor → Greatest Common Factor
Hinge Theorem (Geometry)
Histogram → Dot Plots and Histograms
HL Theorem (Hypotenuse-Leg) → ASA, AAS and HL Congruence
Holes in Rational Functions → Graphing Rational Functions
Homogeneous Systems (Linear Algebra)
Hooke’s Law → Work Done by a Variable Force
Horizontal and Vertical Lines (Algebra 1)
Horizontal Asymptote (Exponential Functions) → Exponential Functions
Horizontal Asymptotes and Limits → Limits at Infinity
Horizontal Asymptotes → Graphing Rational Functions
Horizontal Line Test → Inverse Functions
How to Prove a Parallelogram → Proving a Quadrilateral Is a Parallelogram
Hydrostatic Force (Calculus 2)
Hydrostatic Pressure → Hydrostatic Force
Hyperbolas (Precalculus)
Hyperbolic Functions (Calculus 2)
Hyperbolic Paraboloid (Saddle) → Quadric Surfaces
Hyperboloid of One Sheet → Quadric Surfaces
Hypotenuse → Pythagorean Theorem
Hypothesis Testing (Statistics)

I

I = Prt → Simple Interest
Identifying Conic Sections (Precalculus)
Identity Equation → Equations with Variables on Both Sides
Identity Matrix → Matrix Multiplication
Identity Property → Properties of Numbers
If-Then Statements → Conditional Statements
Image of a Matrix → Null Space and Column Space
Imaginary Numbers → Complex Numbers
Imaginary Solutions of Quadratic Equations → Complex Solutions of Quadratic Equations
Imaginary Unit (i) → Complex Numbers
Implicit Differentiation (Calculus 1)
Implicit Differentiation with Partial Derivatives → Multivariable Chain Rule
Improper Fractions → Mixed Numbers and Improper Fractions
Improper Integrals (Calculus 2)
Improper Integrals with Infinite Discontinuities (Calculus 2)
Included Angle → SSS and SAS Congruence
Increasing and Decreasing Intervals (Calculus) → First Derivative Test
Increasing and Decreasing Intervals → Key Features of Functions
Increasing at a Decreasing Rate → Rates of Change of Functions
Indefinite Integrals → Antiderivatives and Indefinite Integrals
Independence (Probability) → Independent Events
Independent and Dependent Variables → Variables
Independent Events (Statistics)
Independent Samples t-Test → Two-Sample t-Test
Indeterminate Form 0/0 (Algebraic Methods) → Evaluating Limits Algebraically
Indeterminate Form 0/0 → L’Hôpital’s Rule
Indeterminate Forms (Calculus 1)
Index of a Radical → nth Roots
Index of a Root → Cube Roots
Index of Summation → Sigma Notation
Inductive and Deductive Reasoning (Geometry)
Inductive Hypothesis → Mathematical Induction
Inequalities with Absolute Value → Absolute Value Inequalities
Inequalities with Fractions (Rational) → Rational Inequalities
Inequalities with x Squared → Quadratic Inequalities
Inequality Symbols → One-Step Inequalities
Inference for Regression Slope (Statistics)
Infinite Discontinuities (Integrals) → Improper Integrals with Infinite Discontinuities
Infinite Geometric Series (Algebra 2)
Infinite Limits (Calculus 1)
Infinite Series and Partial Sums (Calculus 2)
Infinitely Many Solutions → Number of Solutions
Inflection Point → Concavity and Inflection Points
Influential Points (Statistics)
Initial Side and Terminal Side → Angles in Standard Position
Initial Value Problems → Verifying Solutions to Differential Equations
Injective Linear Transformation → One-to-One and Onto Transformations
Inscribed Angle Theorem → Inscribed Angles
Inscribed Angles (Geometry)
Inscribed Circle of a Triangle → Circumcenter and Incenter
Inscribed Quadrilateral → Inscribed Angles
Instantaneous Rate of Change (Calculus 1)
Integer Sign Rules → Multiplying and Dividing Integers
Integers → Negative Numbers
Integers, Whole and Natural Numbers → Rational and Irrational Numbers
Integral as Area Under a Curve → Definite Integrals
Integral of 1/(1 + x²) → Integrals That Give Inverse Trig Functions
Integral of 1/x → Integrals That Give Natural Logarithms
Integral of ln x → Integration by Parts
Integral of sin²x → Trigonometric Integrals
Integral of tan x → Integrals That Give Natural Logarithms
Integral of √(a² − x²) → Trigonometric Substitution
Integral Test (Calculus 2)
Integral Test for Convergence → Integral Test
Integrals of Odd and Even Functions → Properties of Definite Integrals
Integrals over Infinite Intervals → Improper Integrals
Integrals That Give Inverse Trig Functions (Calculus 1)
Integrals That Give Natural Logarithms (Calculus 1)
Integrating Power Series → Differentiating and Integrating Power Series
Integrating Rational Functions → Integration by Partial Fractions
Integration by Partial Fractions (Calculus 2)
Integration by Parts (Calculus 2)
Integration by Substitution → U-Substitution
Integration in Cylindrical Coordinates → Triple Integrals in Cylindrical Coordinates
Integration in Spherical Coordinates → Triple Integrals in Spherical Coordinates
Integration Strategy → Choosing an Integration Technique
Integration Techniques → Choosing an Integration Technique
Intercepts → X-Intercepts and Y-Intercepts
Interest Rate → Simple Interest
Interest → Simple Interest
Interior and Exterior Angles of Polygons (Geometry)
Intermediate Value Theorem (Calculus 1)
Interquartile Range (IQR) → Box Plots
Intersecting Chords Angle → Angle Relationships in Circles
Intersecting Chords Theorem → Segment Relationships in Circles
Intersection of a Line and a Circle → Nonlinear Systems of Equations
Interval of Convergence → Radius and Interval of Convergence
Introduction to Limits (Precalculus)
Inverse Function Derivative → Derivatives of Inverse Functions
Inverse Functions (Algebra 2)
Inverse Matrices (Precalculus)
Inverse Normal (invNorm) → Normal Probability Calculations
Inverse of a Matrix → Inverse Matrices
Inverse Operations → One-Step Equations
Inverse Property → Properties of Numbers
Inverse Sine (sin⁻¹) → Inverse Trig Functions
Inverse Square Variation → Inverse Variation
Inverse Trig Derivatives → Derivatives of Inverse Trig Functions
Inverse Trig Functions (Trigonometry)
Inverse Trig Ratios (Finding Angles) → Solving Right Triangles
Inverse Variation (Algebra 2)
Invertible Matrix Theorem (Linear Algebra)
Invertible Matrix → Inverse Matrices
IQR Rule for Outliers → Outliers and the 1.5 × IQR Rule
Irrational Numbers → Rational and Irrational Numbers
Isolating the Variable → One-Step Equations
Isosceles and Equilateral Triangles (Geometry)
Isosceles Trapezoid → Trapezoids and Kites
Isosceles Triangle Theorem → Isosceles and Equilateral Triangles
Iterated Integrals → Double Integrals
Iterated Triple Integrals → Triple Integrals
IVT → Intermediate Value Theorem

J

Jacobian Determinant → Jacobians and Change of Variables
Jacobians and Change of Variables (Calculus 3)
Jump Discontinuity → Continuity

K

Kappa (Curvature) → Curvature
Keep Change Change → Adding and Subtracting Integers
Keep Change Flip → Multiplying and Dividing Fractions
Kelvin–Stokes Theorem → Stokes’ Theorem
Kernel and Range (of a matrix) → Null Space and Column Space
Key Features of Functions (Algebra 1)
Kite (Geometry) → Trapezoids and Kites

L

L’Hôpital’s Rule (Calculus 1)
L’Hospital’s Rule → L’Hôpital’s Rule
Ladder Problem (Related Rates) → Related Rates
Lagrange Error Bound (Calculus 2)
Lagrange Multipliers (Calculus 3)
Lagrange Remainder → Lagrange Error Bound
Laplace Expansion → Cofactor Expansion
Large Counts Condition → Normal Approximation to the Binomial
Lateral Area → Surface Area of Prisms and Cylinders
Law of Cooling → Newton’s Law of Cooling
Law of Cosines (Trigonometry)
Law of Detachment → Inductive and Deductive Reasoning
Law of Large Numbers → Probability Rules
Law of Natural Growth → Exponential Models with Differential Equations
Law of Sines (Trigonometry)
Law of Sines Ambiguous Case → Ambiguous Case of the Law of Sines
Law of Syllogism → Inductive and Deductive Reasoning
Laws of Exponents → Exponent Rules
LCD of Rational Expressions → Adding and Subtracting Rational Expressions
LCM → Least Common Multiple
LCT (Limit Comparison Test) → Limit Comparison Test
Leading Coefficient Test → End Behavior of Polynomials
Leading Coefficient → Polynomials
Leading Term of a Polynomial → End Behavior of Polynomials
Least Common Denominator → Least Common Multiple
Least Common Multiple (Pre-Algebra)
Least Squares Method → Least-Squares Regression Line
Least-Squares Regression Line (Statistics)
Left and Right Riemann Sums → Riemann Sums
Left-Hand Limit → One-Sided Limits
Leibniz Rule (Product Rule) → Product Rule
Leibniz Test → Alternating Series Test
Length of a Curve → Arc Length of a Curve
Length of a Polar Curve → Arc Length of Polar Curves
Length of a Segment → Distance Formula
Length of a Space Curve → Arc Length of a Space Curve
Length of an Arc → Arc Length
Level Curves → Functions of Several Variables
Leverage (Regression) → Influential Points
LIATE Rule → Integration by Parts
LIATE → Choosing an Integration Technique
Like Radicals → Adding and Subtracting Radicals
Like Terms → Combining Like Terms
Limaçon → Graphing Polar Equations
Limit Comparison Test (Calculus 2)
Limit Comparison Test (Integrals) → Comparison Test for Improper Integrals
Limit Definition of the Derivative → Definition of the Derivative
Limit Laws (Calculus 1)
Limit of a Function → Introduction to Limits
Limit of a Sequence → Convergence of Sequences
Limit of sin x / x → Squeeze Theorem
Limits at Infinity (Calculus 1)
Limits Equal to Infinity → Infinite Limits
Limits of Multivariable Functions (Calculus 3)
Line Integrals (Calculus 3)
Line of Best Fit (Algebra 1)
Line of Reflection → Reflections
Line of Sight → Angles of Elevation and Depression
Line of Symmetry → Symmetry
Line Plot → Dot Plots and Histograms
Linear and Angular Speed (Trigonometry)
Linear Approximation (Calculus 1)
Linear Combination Method → Elimination Method
Linear Combinations (Linear Algebra)
Linear Correlation (r) → Correlation Coefficient
Linear Dependence → Linear Independence
Linear Equations in Two Variables → Two-Variable Linear Equations
Linear Independence (Linear Algebra)
Linear Map → Linear Transformations
Linear Mapping → Linear Transformations
Linear Pair Perpendicular Theorem → Proofs with Perpendicular Lines
Linear Pair → Angle Pairs
Linear Programming (Algebra 2)
Linear Regression → Line of Best Fit
Linear Space → Vector Spaces
Linear Span → Span of Vectors
Linear Transformation of a Random Variable → Combining Random Variables
Linear Transformation of Data → Transforming Data
Linear Transformations (Linear Algebra)
Linear vs. Exponential Functions (Algebra 1)
Linear, Quadratic and Exponential Models (Algebra 1)
Linear-Quadratic Systems (Algebra 1)
Linearization of f(x, y) → Tangent Planes
Linearization → Linear Approximation
Linearizing Data → Transformations to Achieve Linearity
Linearizing Exponential Data → Semi-Log Plots
Linearly Independent Vectors → Linear Independence
LinRegTTest (TI-84) → Inference for Regression Slope
Literal Equations (Algebra 1)
Local Maximum and Minimum → First Derivative Test
Log Equations → Solving Logarithmic Equations
Log Graphs → Graphing Logarithmic Functions
Log Rule for Integration → Integrals That Give Natural Logarithms
Log Rules → Properties of Logarithms
Log Transformation (Regression) → Transformations to Achieve Linearity
Logarithmic Differentiation (Calculus 1)
Logarithmic Form → Logarithms
Logarithmic Scales (Precalculus)
Logarithms (Algebra 2)
Logistic Differential Equations (Calculus 2)
Logistic Functions (Precalculus)
Logistic Growth Model → Logistic Differential Equations
Logistic Growth → Logistic Functions
Long Division of Polynomials → Polynomial Long Division
Low D-High Minus High D-Low → Quotient Rule
Lower and Upper Fences → Outliers and the 1.5 × IQR Rule
LSRL → Least-Squares Regression Line
LU Decomposition (Linear Algebra)
LU Factorization → LU Decomposition
Lurking Variable → Scatter Plots and Correlation

M

Maclaurin Expansion → Maclaurin Series
Maclaurin Polynomials → Taylor Polynomials
Maclaurin Series (Calculus 2)
Magnitude and Direction of a Vector (Precalculus)
Map Scale → Proportions
Mapping Diagram → Relations and Functions
Margin of Error (Statistics)
Marginal Cost → Instantaneous Rate of Change
Marginal Frequency → Two-Way Tables
Markup → Percent Word Problems
Mass of a Lamina → Applications of Double Integrals
Matched Pairs Design → Block Designs and Matched Pairs
Matched Pairs t-Test → Paired t-Test
Mathematical Induction (Precalculus)
Matrix Equation Ax = b (Linear Algebra)
Matrix Inverse → Inverse Matrices
Matrix Multiplication (Precalculus)
Matrix of a Composition → Composition of Linear Transformations
Matrix of a Linear Transformation → Standard Matrix of a Linear Transformation
Matrix Operations (Precalculus)
Matrix Transformations (Precalculus)
Matrix Transpose → Transpose of a Matrix
Matrix-Vector Product → Matrix Equation Ax = b
Maximum and Minimum of a Function → Key Features of Functions
Maximum and Minimum Word Problems → Optimization
Maximum Height of a Projectile → Projectile Motion with Parametric Equations
Mean of a Random Variable → Expected Value
Mean Value Theorem (Calculus 1)
Mean Value Theorem for Integrals → Average Value of a Function
Mean → Mean, Median, Mode and Range
Mean, Median, Mode and Range (Pre-Algebra)
Measurement Error with Differentials → Differentials
Measuring and Classifying Angles (Geometry)
Median of a Triangle → Medians and Altitudes of Triangles
Median → Mean, Median, Mode and Range
Medians and Altitudes of Triangles (Geometry)
Method of Cylindrical Shells → Shell Method
Metric Conversions → Unit Conversions
Midline of a Sinusoid → Phase Shift
Midline Theorem → Triangle Midsegment Theorem
Midpoint Formula (Geometry)
Midpoint of a Segment → Midpoint Formula
Midpoint Riemann Sum → Riemann Sums
Midsegment of a Trapezoid → Trapezoids and Kites
Midsegment of a Triangle → Triangle Midsegment Theorem
Minor and Major Arcs → Arcs and Central Angles
Minors and Cofactors → Cofactor Expansion
Mirror Image → Reflections
Mixed Numbers and Improper Fractions (Pre-Algebra)
Mixed Numbers → Mixed Numbers and Improper Fractions
Mixed Partial Derivatives → Partial Derivatives
Mixture Problems → Systems of Equations Word Problems
Mode → Mean, Median, Mode and Range
Modeling with Trig Functions → Sinusoidal Models
Modified Box Plot → Outliers and the 1.5 × IQR Rule
Modulus and Argument of a Complex Number → Trigonometric Form of Complex Numbers
Moments (Calculus) → Center of Mass
Moments of a Lamina → Applications of Double Integrals
Monte Carlo Simulation → Probability Simulations
Motion in Space (Calculus 3)
Motion in the Plane → Vector-Valued Functions
Multi-Step Equations (Algebra 1)
Multi-Step Inequalities (Algebra 1)
Multiple-Angle Trig Equations → Trig Equations with Multiple Angles
Multiples → Least Common Multiple
Multiplication Rule for Independent Events → Independent Events
Multiplicity of Zeros → Fundamental Theorem of Algebra
Multiplying and Dividing Fractions (Pre-Algebra)
Multiplying and Dividing Integers (Pre-Algebra)
Multiplying and Dividing Rational Expressions (Algebra 2)
Multiplying Binomials (Algebra 1)
Multiplying Complex Numbers → Operations with Complex Numbers
Multiplying Decimals → Operations with Decimals
Multiplying Fractions → Multiplying and Dividing Fractions
Multiplying Matrices → Matrix Multiplication
Multiplying Negative Numbers → Multiplying and Dividing Integers
Multiplying Polynomials (Algebra 1)
Multiplying Radicals (Algebra 1)
Multiplying Rational Expressions → Multiplying and Dividing Rational Expressions
Multiplying Square Roots → Multiplying Radicals
Multivariable Chain Rule (Calculus 3)
Multivariable Functions → Functions of Several Variables
Multivariable Limits → Limits of Multivariable Functions
Mutually Exclusive Events → Addition Rule and Mutually Exclusive Events
MVT (Mean Value Theorem) → Mean Value Theorem

N

Nabla (∇f) → Directional Derivatives and the Gradient
Natural Base e → The Number e
Natural Logarithm (ln) → Logarithms
nCr and nPr → Permutations and Combinations
Negative Angles → Angles in Standard Position
Negative Exponents → Zero and Negative Exponents
Negative Numbers (Pre-Algebra)
Nested Fractions (Pre-Algebra)
Net Change in Position → Displacement and Total Distance
Net Change Theorem → Fundamental Theorem of Calculus, Part 2
Network Flow → Applications of Linear Systems
Newton’s Binomial Series → Binomial Series
Newton’s Law of Cooling (Calculus 2)
Newton’s Method (Calculus 1)
Newton-Raphson Method → Newton’s Method
No Solution → Number of Solutions
Non-Real Solutions → Complex Solutions of Quadratic Equations
Nonlinear Systems of Equations (Algebra 2)
Nonresponse Bias → Sampling Bias
Nontrivial Solution → Homogeneous Systems
Normal Approximation to the Binomial (Statistics)
Normal Component of Acceleration → Motion in Space
Normal Curve → Normal Distribution
Normal Distribution (Statistics)
Normal Distribution Probability → Normal Probability Calculations
Normal Line to a Surface → Tangent Planes
Normal Line → Equation of a Tangent Line
Normal Probability Calculations (Statistics)
Normal Probability Plots (Statistics)
Normal Quantile Plot → Normal Probability Plots
Normal Vector to a Plane → Equation of a Plane
Normalcdf and invNorm → Standard Normal Distribution
Not Differentiable (Corners and Cusps) → Differentiability
nth Derivative → Higher-Order Derivatives
nth Root Test → Root Test
nth Roots (Algebra 2)
nth Term Test → Divergence Test
nth-Degree Taylor Polynomial → Taylor Polynomials
Null Hypothesis → Hypothesis Testing
Null Space and Column Space (Linear Algebra)
Nullity → Rank of a Matrix
The Number e (Algebra 2)
Number of Positive and Negative Zeros → Descartes’ Rule of Signs
Number of Solutions (Algebra 1)
Number of Solutions of a Quadratic → The Discriminant
Number of Zeros of a Polynomial → Fundamental Theorem of Algebra
Numerator → Fractions
Numerical Integration (Trapezoids) → Trapezoidal Rule
Numerical Solutions of Differential Equations → Euler’s Method

O

Objective Function → Linear Programming
Oblique Asymptotes → Slant Asymptotes
Observational Studies and Experiments (Statistics)
Octants → 3D Coordinate System
Odd Functions → Even and Odd Functions
One to the Infinity Limit → Indeterminate Forms
One-Proportion z-Interval → Confidence Interval for a Proportion
One-Proportion z-Test (Statistics)
One-Sample t-Interval → Confidence Interval for a Mean
One-Sample t-Test (Statistics)
One-Sided Limits (Precalculus)
One-Step Equations (Algebra 1)
One-Step Inequalities (Algebra 1)
One-to-One and Onto Transformations (Linear Algebra)
One-to-One Functions → Inverse Functions
Onto Linear Transformation → One-to-One and Onto Transformations
Open Box Problem → Optimization
Operations on Functions → Function Operations
Operations with Complex Numbers (Algebra 2)
Operations with Decimals (Pre-Algebra)
Opposite Numbers → Negative Numbers
Opposite Reciprocal → Parallel and Perpendicular Lines
Optimization (Calculus 1)
Optimization with a Constraint → Lagrange Multipliers
Optimization with Linear Programming → Linear Programming
Optimization Word Problems → Optimization
Order of Operations (Pre-Algebra)
Ordered Pair → Coordinate Plane
Ordered Triples → Systems of Equations in Three Variables
Orientation of a Curve → Parametric Equations
Origin → Coordinate Plane
Orthocenter → Medians and Altitudes of Triangles
Orthogonal Basis → Orthogonal Sets and Orthonormal Bases
Orthogonal Component of a Vector → Vector Projections
Orthogonal Decomposition Theorem → Orthogonal Projections
Orthogonal Matrix → Orthogonal Sets and Orthonormal Bases
Orthogonal Projections (Linear Algebra)
Orthogonal Sets and Orthonormal Bases (Linear Algebra)
Orthogonal Vectors → Dot Product
Orthogonalization → Gram-Schmidt Process
Orthonormal Basis → Orthogonal Sets and Orthonormal Bases
Osculating Circle → Curvature
Outlier (Regression) → Influential Points
Outlier → Outliers and the 1.5 × IQR Rule
Outliers and the 1.5 × IQR Rule (Statistics)
Outside-Inside Rule → Chain Rule

P

P(A | B) → Conditional Probability
p-Integrals → Improper Integrals
p-Series (Calculus 2)
p-Series Test → p-Series
P-Values (Statistics)
Paired Samples t-Test → Paired t-Test
Paired t-Test (Statistics)
Pappus’s Theorem → Center of Mass
Parabola Focus → Focus and Directrix of a Parabola
Parabola → Graphing Quadratic Functions
Parabolic Rule → Simpson’s Rule
Paragraph Proofs → Two-Column Proofs
Parallel and Perpendicular Lines (Algebra 1)
Parallel Lines and Transversals (Geometry)
Parallelepiped → Determinants as Area and Volume
Parallelogram Tests → Proving a Quadrilateral Is a Parallelogram
Parallelogram → Properties of Parallelograms
Parameter (t) → Parametric Equations
Parameter vs. Statistic → Sampling Distributions
Parametric Arc Length → Arc Length of Parametric Curves
Parametric Derivatives → Derivatives of Parametric Equations
Parametric Equations (Precalculus)
Parametric Equations of a Line (3D) → Equations of Lines in 3D
Parametric Surfaces (Calculus 3)
Parametric Vector Form (Linear Algebra)
Parent Functions (Algebra 2)
Part-to-Whole Ratios → Ratios
Partial Derivatives (Calculus 3)
Partial Differentiation → Partial Derivatives
Partial Fraction Decomposition (Precalculus)
Partial Fractions (Integration) → Integration by Partial Fractions
Partial Fractions → Partial Fraction Decomposition
Partial Sums of Arithmetic Sequences → Arithmetic Series
Partial Sums → Infinite Series and Partial Sums
Particle Motion → Position, Velocity and Acceleration
Particular Solution → Parametric Vector Form
Partitioning a Line Segment (Geometry)
Parts of a Circle (Geometry)
Pascal’s Triangle → Binomial Theorem
Path Independence → Conservative Vector Fields
Path Integrals → Line Integrals
Pearson Correlation Coefficient → Correlation Coefficient
PEMDAS → Order of Operations
Percent Change (Pre-Algebra)
Percent Decrease → Percent Change
Percent Error → Percent Change
Percent Increase → Percent Change
Percent of a Number → Percentages
Percent Proportion → Percentages
Percent to Decimal → Percentages
Percent Word Problems (Pre-Algebra)
Percent → Percentages
Percentage Points → Percent Change
Percentages (Pre-Algebra)
Percentiles and Z-Scores (Statistics)
Perfect Cubes → Cube Roots
Perfect Square Trinomial Formula → Perfect Square Trinomials
Perfect Square Trinomials (Algebra 1)
Perfect Squares → Square Root
Perimeter (Pre-Algebra)
Perimeter of a Rectangle → Perimeter
Period of a Trig Function → Amplitude and Period
Period of Tangent → Graph of Tangent
Permutations and Combinations (Precalculus)
Perpendicular and Angle Bisectors (Geometry)
Perpendicular Bisector Theorem → Perpendicular and Angle Bisectors
Perpendicular Lines → Parallel and Perpendicular Lines
Perpendicular Transversal Theorem → Proofs with Perpendicular Lines
pH Scale → Logarithmic Scales
Phase Shift (Trigonometry)
Pi → Circumference and Area of Circles
Pie Chart → Bar Graphs and Pie Charts
Piecewise Functions (Algebra 2)
Piecewise-Defined Functions → Piecewise Functions
Pivot Position → Gaussian Elimination
Place Value → Operations with Decimals
Placebo Effect → Experimental Design
Plane Through Three Points → Equation of a Plane
Point Estimate → Confidence Intervals
Point of Concurrency → Circumcenter and Incenter
Point of Diminishing Returns → Concavity and Inflection Points
Point of Tangency → Tangents to a Circle
Point Symmetry → Symmetry
Point-Normal Form of a Plane → Equation of a Plane
Point-Slope Equation → Point-Slope Form
Point-Slope Form (Algebra 1)
Points, Lines and Planes (Geometry)
Polar Arc Length → Arc Length of Polar Curves
Polar Area Between Two Curves → Area Between Polar Curves
Polar Area → Area in Polar Coordinates
Polar Coordinates (Trigonometry)
Polar Derivatives → Derivatives of Polar Functions
Polar Double Integrals → Double Integrals in Polar Coordinates
Polar Form of a Complex Number → Trigonometric Form of Complex Numbers
Polygon Angle Sum → Interior and Exterior Angles of Polygons
Polynomial End Behavior → End Behavior of Polynomials
Polynomial Graphs → Graphing Polynomial Functions
Polynomial Inequalities (Precalculus)
Polynomial Long Division (Algebra 2)
Polynomial Multiplication → Multiplying Polynomials
Polynomials (Algebra 1)
Pooled Proportion → Two-Proportion z-Test
Population Standard Deviation → Standard Deviation
Position, Velocity and Acceleration (Calculus 1)
Possible Rational Zeros → Rational Root Theorem
Posterior Probability → Bayes’ Theorem
Potential Function → Conservative Vector Fields
Power Model (Regression) → Transformations to Achieve Linearity
Power of a Point → Segment Relationships in Circles
Power of a Test → Type I and Type II Errors
Power Rule (Calculus 1)
Power Rule for Integrals → Antiderivatives and Indefinite Integrals
Power Series (Calculus 2)
Power Series Representation → Power Series
Power-Reducing Formulas → Half-Angle Formulas
Powers of 10 → Exponents
Powers of Complex Numbers → De Moivre’s Theorem
Powers of i → Complex Numbers
Powers of Sine and Cosine (Integrals) → Trigonometric Integrals
Powers → Exponents
Precise Definition of a Limit → Epsilon-Delta Definition of a Limit
Prime Factorization (Pre-Algebra)
Prime Numbers → Prime Factorization
Prime Polynomial → Factoring Trinomials
Principal Square Root → Square Root
Principal → Simple Interest
Probability (Pre-Algebra)
Probability Distribution → Discrete Random Variables
Probability Histogram → Discrete Random Variables
Probability Rules (Statistics)
Probability Simulations (Statistics)
Product of a Sum and Difference → Special Products of Binomials
Product Rule (Calculus 1)
Product Rule for Exponents → Exponent Rules
Product Rule for Radicals → Multiplying Radicals
Projectile Motion with Parametric Equations (Precalculus)
Projectile Motion → Projectile Motion with Parametric Equations
Projection Matrix → Orthogonal Projections
Projection of a Vector → Vector Projections
Proof by Induction → Mathematical Induction
Proofs with Coordinates → Coordinate Proofs
Proofs with Perpendicular Lines (Geometry)
Propagated Error (Differentials) → Differentials
Properties of Definite Integrals (Calculus 1)
Properties of Determinants (Linear Algebra)
Properties of Equality → Algebraic Proofs
Properties of Limits → Limit Laws
Properties of Logarithms (Algebra 2)
Properties of Numbers (Pre-Algebra)
Properties of Parallelograms (Geometry)
Proportion z-Test (One Sample) → One-Proportion z-Test
Proportional Relationships → Proportions
Proportions (Pre-Algebra)
Protractor Postulate → Measuring and Classifying Angles
Proving a Quadrilateral Is a Parallelogram (Geometry)
Proving Angle Relationships (Geometry)
Proving Lines Parallel (Geometry)
Proving Trig Identities → Verifying Trig Identities
Pumping Liquid Problems (Calculus 2)
Pythagorean Identity → Fundamental Trig Identities
Pythagorean Inequality Theorem → Converse of the Pythagorean Theorem
Pythagorean Theorem (Geometry)

Q

Q-Q Plot (Normal) → Normal Probability Plots
QR Decomposition → QR Factorization
QR Factorization (Linear Algebra)
Quadrantal Angles → Angles in Standard Position
Quadrants → Coordinate Plane
Quadratic Equations with Complex Roots → Complex Solutions of Quadratic Equations
Quadratic Form (Polynomial Equations) → Solving Polynomial Equations
Quadratic Formula (Algebra 1)
Quadratic Inequalities (Algebra 2)
Quadratic-Linear Systems → Linear-Quadratic Systems
Quadric Surfaces (Calculus 3)
Quantitative Variable → Categorical and Quantitative Variables
Quartiles → Box Plots
Quotient and Remainder of Polynomials → Polynomial Long Division
Quotient Rule (Calculus 1)

R

R-Squared → Coefficient of Determination
Radian Measure → Radians
Radians (Trigonometry)
Radical Equations → Solving Radical Equations
Radical Functions (Algebra 2)
Radical Sign → Square Root
Radicals to Exponents → Rational Exponents
Radius and Diameter → Circumference and Area of Circles
Radius and Interval of Convergence (Calculus 2)
Radius of Convergence → Radius and Interval of Convergence
Radius of Curvature → Curvature
Random Digit Table → Probability Simulations
Random Variable → Discrete Random Variables
Randomized Block Design → Block Designs and Matched Pairs
Range of a Function → Domain and Range
Range of a Projectile → Projectile Motion with Parametric Equations
Rank of a Matrix (Linear Algebra)
Rank-Nullity Theorem → Rank of a Matrix
Rate of Change → Average Rate of Change
Rates of Change of Functions (Precalculus)
Rates → Unit Rates
Ratio Tables → Ratios
Ratio Test (Calculus 2)
Ratio Test for Convergence → Ratio Test
Rational and Irrational Numbers (Pre-Algebra)
Rational Equations → Solving Rational Equations
Rational Exponents (Algebra 2)
Rational Expressions → Simplifying Rational Expressions
Rational Inequalities (Precalculus)
Rational Root Theorem (Algebra 2)
Rational Roots Test → Rational Root Theorem
Rational Zero Theorem → Rational Root Theorem
Rationalizing the Denominator (Algebra 1)
Ratios (Pre-Algebra)
Real Number System → Rational and Irrational Numbers
Rearranging Formulas → Literal Equations
Reciprocal and Quotient Identities → Fundamental Trig Identities
Reciprocal of a Complex Number → Dividing Complex Numbers
Reciprocal Slope of an Inverse → Derivatives of Inverse Functions
Reciprocal Trig Functions → Six Trigonometric Functions
Reciprocal → Multiplying and Dividing Fractions
Rectangle Diagonals → Rectangles, Rhombuses and Squares
Rectangles, Rhombuses and Squares (Geometry)
Rectangular to Polar Coordinates → Polar Coordinates
Rectilinear Motion → Position, Velocity and Acceleration
Recursive Formula → Arithmetic Sequences
Reduced Row Echelon Form (Linear Algebra)
Reducing Rational Expressions → Simplifying Rational Expressions
Reference Angles (Trigonometry)
Reflection over the x-axis → Reflections
Reflections (Geometry)
Reflexive, Symmetric and Transitive Properties → Algebraic Proofs
Regression Line → Least-Squares Regression Line
Regular Polygon Angles → Interior and Exterior Angles of Polygons
Regular Polygon Area → Area of Regular Polygons
Related Rates (Calculus 1)
Relations and Functions (Algebra 1)
Relative Frequency → Two-Way Tables
Relatively Prime → Greatest Common Factor
Remainder and Factor Theorems (Algebra 2)
Remainder Estimate (Integral Test) → Integral Test
Remainder of a Taylor Polynomial → Lagrange Error Bound
Remainder Theorem → Remainder and Factor Theorems
Remote Interior Angles → Triangle Angle Sum Theorem
Removable Discontinuity → Continuity
Removing Parentheses → Distributive Property
Reparametrization by Arc Length → Arc Length of a Space Curve
Repeating Decimals → Converting Fractions and Decimals
Rescaling Data → Transforming Data
Residual (Statistics) → Residuals and Residual Plots
Residual Analysis → Residuals and Residual Plots
Residuals and Residual Plots (Statistics)
Residuals → Line of Best Fit
Response Bias → Sampling Bias
Resultant Vector → Adding and Subtracting Vectors
Resultant Velocity → Vector Word Problems
Reverse Chain Rule → U-Substitution
Reversing Limits of Integration → Properties of Definite Integrals
Reversing the Order of Integration → Double Integrals over General Regions
Revolutions per Minute (rpm) → Linear and Angular Speed
Rhombus → Rectangles, Rhombuses and Squares
Richter Scale → Logarithmic Scales
Riemann Rearrangement Theorem → Absolute and Conditional Convergence
Riemann Sums (Calculus 1)
Right Angles Congruence Theorem → Proving Angle Relationships
Right-Hand Limit → One-Sided Limits
Right-Hand Rule → Cross Product
Rise Over Run → Slope
Rolle’s Theorem → Mean Value Theorem
Root Test (Calculus 2)
Roots of a Quadratic → Solving Quadratics by Graphing
Roots of Complex Numbers → De Moivre’s Theorem
Rose Curve → Graphing Polar Equations
Rotating 2D Shapes → Cross Sections
Rotation Matrix → Matrix Transformations
Rotational Symmetry → Symmetry
Rotations (Geometry)
Row Echelon Form → Gaussian Elimination
Row Operation Matrices → Elementary Matrices
Row Operations and Determinants → Properties of Determinants
Row Space → Rank of a Matrix
Row-Echelon Form → Gaussian Elimination
RREF → Reduced Row Echelon Form
Rule of Signs → Descartes’ Rule of Signs
Ruler Postulate → Segment Addition Postulate

S

68-95-99.7 Rule → Empirical Rule
Saddle Point → Extrema of Functions of Two Variables
Sales Tax → Percent Word Problems
Same-Side Interior Angles Converse → Proving Lines Parallel
Same-Side Interior Angles → Parallel Lines and Transversals
Sample Size Formula → Margin of Error
Sample Space → Probability
Sample Standard Deviation → Standard Deviation
Sampling Bias (Statistics)
Sampling Distribution of a Sample Mean (Statistics)
Sampling Distribution of a Sample Proportion (Statistics)
Sampling Distribution of p-hat → Sampling Distribution of a Sample Proportion
Sampling Distribution of x-bar → Sampling Distribution of a Sample Mean
Sampling Distributions (Statistics)
Sampling Distributions for Differences (Statistics)
Sampling Methods (Statistics)
Sampling Variability → Sampling Distributions
Sandwich Theorem → Squeeze Theorem
SAS Congruence Postulate → SSS and SAS Congruence
SAS Inequality Theorem → Hinge Theorem
SAS Similarity Theorem → SSS and SAS Similarity
Scalar Multiplication of Matrices → Matrix Operations
Scalar Multiplication of Vectors → Adding and Subtracting Vectors
Scalar Product → Dot Product
Scalar Projection (Component) → Vector Projections
Scalar Triple Product → Cross Product
Scale Factor of Solids → Similar Solids
Scale Factor → Dilations
Scatter Plots and Correlation (Algebra 1)
Scientific Notation (Pre-Algebra)
Scope of Inference → Observational Studies and Experiments
Secant Graph → Graphs of Secant, Cosecant and Cotangent
Secant Line Slope → Difference Quotient
Secant Line to Tangent Line → Instantaneous Rate of Change
Secant Line → Average Rate of Change
Secant of a Circle → Parts of a Circle
Secant-Tangent Theorem → Segment Relationships in Circles
Second Derivative of Parametric Equations → Derivatives of Parametric Equations
Second Derivative Test (Calculus 1)
Second Derivative Test (Two Variables) → Extrema of Functions of Two Variables
Second Derivative → Higher-Order Derivatives
Second Differences → Linear, Quadratic and Exponential Models
Sector of a Circle → Area of a Sector
Segment Addition Postulate (Geometry)
Segment Bisector → Midpoint Formula
Segment Relationships in Circles (Geometry)
Segmented Bar Graph → Bar Graphs and Pie Charts
Semi-Log Graph → Semi-Log Plots
Semi-Log Plots (Precalculus)
Separable Differential Equations (Calculus 2)
Separable Equations → Separable Differential Equations
Separation of Variables → Separable Differential Equations
Sequence of Partial Sums → Infinite Series and Partial Sums
Series Convergence Tests → Choosing a Convergence Test
Series Expansion of a Function → Taylor Series
Series for eˣ, sin x and cos x → Maclaurin Series
Series Representation of a Function → Power Series
Shell Method (Calculus 2)
Shifting Graphs → Transformations of Functions
Side Lengths of a Triangle → Triangle Inequality Theorem
Side Splitter Theorem → Triangle Proportionality Theorem
Side-by-Side Box Plots → Comparing Distributions
Sigma Notation (Algebra 2)
Sign Chart (Quadratic Inequalities) → Quadratic Inequalities
Sign Chart for f′ → First Derivative Test
Sign Chart → Polynomial Inequalities
Signed Area → Definite Integrals
Significance Level → P-Values
Significance Test → Hypothesis Testing
Signs of Trig Functions by Quadrant → Trig Functions of Any Angle
Similar Figures → Similar Polygons
Similar Matrices → Diagonalization
Similar Polygons (Geometry)
Similar Right Triangles (Geometry)
Similar Solids (Geometry)
Similarity Statement → Similar Polygons
Simple Interest (Pre-Algebra)
Simple Random Sample → Sampling Methods
Simplest Radical Form → Simplifying Square Roots
Simplifying Complex Fractions → Complex Rational Expressions
Simplifying Expressions → Combining Like Terms
Simplifying Fractions → Fractions
Simplifying Radicals → Simplifying Square Roots
Simplifying Rational Expressions (Algebra 2)
Simplifying Square Roots (Algebra 1)
Simpson’s 1/3 Rule → Simpson’s Rule
Simpson’s Rule (Calculus 2)
Simulation (Probability) → Probability Simulations
Simultaneous Equations → Systems of Equations
sin 2x Formula → Double-Angle Formulas
Sine Graph → Graphs of Sine and Cosine
Sine Law → Law of Sines
Sine Rule → Law of Sines
Sine Wave → Graphs of Sine and Cosine
Sine, Cosine and Tangent → Trigonometric Ratios
Singular Matrix → Determinant of a Matrix
sinh and cosh → Hyperbolic Functions
Sinusoidal Models (Trigonometry)
Sinusoidal Word Problems → Sinusoidal Models
Six Trigonometric Functions (Trigonometry)
Sketching Graphs with f′ and f″ → Curve Sketching
Sketching Polynomial Graphs → Graphing Polynomial Functions
Sketching the Graph of a Derivative (Calculus 1)
Skew Lines → Equations of Lines in 3D
Skew-Symmetric Matrix → Transpose of a Matrix
Skewed Distribution → Describing a Distribution
Slant Asymptotes (Precalculus)
Slant Height → Surface Area of Pyramids and Cones
Slicing Method for Volume → Volumes by Cross Sections
Slope (Algebra 1)
Slope Fields (Calculus 2)
Slope Formula → Slope
Slope of a Circle (Implicit) → Implicit Differentiation
Slope of a Polar Curve → Derivatives of Polar Functions
Slope of a Tangent Line → Instantaneous Rate of Change
Slope-Intercept Form (Algebra 1)
SOAP (Factoring Cubes) → Sum and Difference of Cubes
SOCS (Shape, Outliers, Center, Spread) → Describing a Distribution
SOH CAH TOA → Trigonometric Ratios
Solid of Revolution → Disk Method
Solids of Revolution → Cross Sections
Solution Set of a Linear System → Parametric Vector Form
Solving 3×3 Systems → Systems of Equations in Three Variables
Solving Exponential Equations (Algebra 2)
Solving for a Variable → Literal Equations
Solving Linear Equations → Multi-Step Equations
Solving Logarithmic Equations (Algebra 2)
Solving Polynomial Equations (Algebra 2)
Solving Quadratic Equations by Factoring (Algebra 1)
Solving Quadratic Equations by Graphing → Solving Quadratics by Graphing
Solving Quadratic Inequalities → Quadratic Inequalities
Solving Quadratics by Completing the Square → Completing the Square
Solving Quadratics by Factoring → Solving Quadratic Equations by Factoring
Solving Quadratics by Graphing (Algebra 1)
Solving Quadratics with Square Roots (Algebra 1)
Solving Quadratics with the Quadratic Formula → Quadratic Formula
Solving Radical Equations (Algebra 2)
Solving Rational Equations (Algebra 2)
Solving Right Triangles (Geometry)
Solving Systems with Augmented Matrices (Precalculus)
Solving Trig Equations (Trigonometry)
Solving Trig Equations with Identities (Trigonometry)
Solving Trig Equations with Multiple Angles → Trig Equations with Multiple Angles
Space Curves → Vector Functions and Space Curves
Span of Vectors (Linear Algebra)
Spanning Set → Span of Vectors
Special Angles in Trigonometry → Trig Values of Special Angles
Special Products of Binomials (Algebra 1)
Special Right Triangles (Geometry)
Spherical Coordinates → Triple Integrals in Spherical Coordinates
Spring Work Problems → Work Done by a Variable Force
Square (Quadrilateral) → Rectangles, Rhombuses and Squares
Square of a Binomial → Special Products of Binomials
Square Root (Pre-Algebra)
Square Root Equations → Solving Radical Equations
Square Root Functions → Radical Functions
Square Root Method → Solving Quadratics with Square Roots
Square Root Property → Solving Quadratics with Square Roots
Square Units → Area of Rectangles and Parallelograms
Squared → Exponents
Squeeze Theorem (Calculus 1)
SSA Case → Ambiguous Case of the Law of Sines
SSS and SAS Congruence (Geometry)
SSS and SAS Similarity (Geometry)
SSS Congruence Postulate → SSS and SAS Congruence
SSS Inequality Theorem → Hinge Theorem
SSS Similarity Theorem → SSS and SAS Similarity
Stacked Fractions → Nested Fractions
Standard Basis Vectors → Standard Matrix of a Linear Transformation
Standard Deviation (Statistics)
Standard Deviation of a Sample Proportion → Sampling Distribution of a Sample Proportion
Standard Deviation of the Residuals → Residuals and Residual Plots
Standard Error of the Mean → Sampling Distribution of a Sample Mean
Standard Error of the Slope → Inference for Regression Slope
Standard Form of a Circle → Equation of a Circle
Standard Form of a Line → Standard Form of a Linear Equation
Standard Form of a Linear Equation (Algebra 1)
Standard Form → Scientific Notation
Standard Matrix of a Linear Transformation (Linear Algebra)
Standard Matrix → Standard Matrix of a Linear Transformation
Standard Normal Distribution (Statistics)
Standard Normal Table → Standard Normal Distribution
Standard Score (z-Score) → Percentiles and Z-Scores
Standard Unit Vectors (i, j, k) → Vectors in 3D
Stationary Points → Critical Points
Statistical Power → Type I and Type II Errors
Statistical Significance → P-Values
Steepest Ascent and Descent → Directional Derivatives and the Gradient
Stem-and-Leaf Plots (Statistics)
Stemplot → Stem-and-Leaf Plots
Step Functions → Piecewise Functions
Stokes’ Theorem (Calculus 3)
Stratified Random Sample → Sampling Methods
Student’s t-Distribution → t-Distribution
Student’s t-Test → One-Sample t-Test
Subspace Test → Subspaces
Subspaces (Linear Algebra)
Substitution in Definite Integrals → U-Substitution with Definite Integrals
Substitution Method (Algebra 1)
Substitution Rule for Integrals → U-Substitution
Subtracting Complex Numbers → Operations with Complex Numbers
Subtracting Decimals → Operations with Decimals
Subtracting Fractions → Adding and Subtracting Fractions
Subtracting Negative Numbers → Adding and Subtracting Integers
Subtracting Polynomials → Adding and Subtracting Polynomials
Subtracting Rational Expressions → Adding and Subtracting Rational Expressions
Sum and Difference Formulas (Trigonometry)
Sum and Difference Identities → Sum and Difference Formulas
Sum and Difference of Cubes (Algebra 2)
Sum of a Geometric Sequence → Geometric Series
Sum of an Arithmetic Sequence → Arithmetic Series
Sum of an Infinite Series → Infinite Series and Partial Sums
Sum Rule for Derivatives → Power Rule
Sum to Infinity → Infinite Geometric Series
Sum, Difference, Product and Quotient of Functions → Function Operations
Summation Notation → Sigma Notation
Supplementary Angles → Angle Pairs
Surface Area and Volume of Spheres (Geometry)
Surface Area of a Cone → Surface Area of Pyramids and Cones
Surface Area of a Cylinder → Surface Area of Prisms and Cylinders
Surface Area of a Parametric Surface → Parametric Surfaces
Surface Area of a Pyramid → Surface Area of Pyramids and Cones
Surface Area of a Rectangular Prism → Surface Area of Prisms and Cylinders
Surface Area of a Sphere → Surface Area and Volume of Spheres
Surface Area of Prisms and Cylinders (Geometry)
Surface Area of Pyramids and Cones (Geometry)
Surface Area of Revolution (Calculus 2)
Surface Area with Double Integrals → Applications of Double Integrals
Surface Integrals (Calculus 3)
Surjective Linear Transformation → One-to-One and Onto Transformations
Symmetric Equations of a Line → Equations of Lines in 3D
Symmetric Matrix → Transpose of a Matrix
Symmetry (Geometry)
Symmetry of Functions → Even and Odd Functions
Synthetic Division (Algebra 2)
Synthetic Substitution (Remainder Theorem) → Remainder and Factor Theorems
Synthetic Substitution → Synthetic Division
Systematic Sample → Sampling Methods
Systems of Equations (Algebra 1)
Systems of Equations in Three Variables (Algebra 2)
Systems of Equations Word Problems (Algebra 1)
Systems of Inequalities (Algebra 1)
Systems of Linear and Quadratic Equations → Linear-Quadratic Systems
Systems of Linear Inequalities → Systems of Inequalities
Systems of Nonlinear Equations → Nonlinear Systems of Equations

T

2-PropZTest (TI-84) → Two-Proportion z-Test
2-SampTTest (TI-84) → Two-Sample t-Test
30-60-90 Triangle → Special Right Triangles
3D Coordinate System (Calculus 3)
t-Distribution (Statistics)
t-Interval → Confidence Interval for a Mean
T-Test (TI-84) → One-Sample t-Test
t-Test for a Mean → One-Sample t-Test
t-Test for Slope → Inference for Regression Slope
Table of Values → Two-Variable Linear Equations
Tabular Integration → Integration by Parts
Taking the Log of Both Sides → Solving Exponential Equations
Tangent Graph → Graph of Tangent
Tangent Line Approximation → Linear Approximation
Tangent Line Equation → Equation of a Tangent Line
Tangent Line Method (Differential Equations) → Euler’s Method
Tangent Line to a Circle → Tangents to a Circle
Tangent Line to a Space Curve → Vector Functions and Space Curves
Tangent Plane to a Parametric Surface → Parametric Surfaces
Tangent Planes (Calculus 3)
Tangent-Chord Angle → Angle Relationships in Circles
Tangential Component of Acceleration → Motion in Space
Tangents to a Circle (Geometry)
Tank Pumping Problems → Pumping Liquid Problems
Tape Diagrams → Ratios
Taylor Approximation → Taylor Polynomials
Taylor Expansion → Taylor Series
Taylor Polynomials (Calculus 2)
Taylor Remainder Estimate → Lagrange Error Bound
Taylor Series (Calculus 2)
Taylor Series Expansion → Taylor Series
Telescoping Series (Calculus 2)
Telescoping Sum → Telescoping Series
Telescoping Sums → Partial Fraction Decomposition
Ten Percent Condition → Sampling Distribution of a Sample Proportion
Term-by-Term Differentiation → Differentiating and Integrating Power Series
Term-by-Term Integration → Differentiating and Integrating Power Series
Terminating Decimals → Converting Fractions and Decimals
Terms → Algebraic Expressions
Test for Divergence → Divergence Test
Test for Homogeneity → Chi-Square Test for Independence
Test Statistic → Hypothesis Testing
Thales’ Theorem (Angle in a Semicircle) → Inscribed Angles
Theoretical Probability → Probability
Third Angles Theorem → Congruent Figures
Third Derivative → Higher-Order Derivatives
Third Side of a Triangle → Triangle Inequality Theorem
Three Parallel Lines Theorem → Triangle Proportionality Theorem
Three-Dimensional Coordinate System → 3D Coordinate System
Three-Dimensional Vectors → Vectors in 3D
Three-Part Inequalities → Compound Inequalities
Three-Sigma Rule → Empirical Rule
Three-Variable Systems → Systems of Equations in Three Variables
Tips → Percent Word Problems
TNB Frame → Unit Tangent and Unit Normal Vectors
Toolkit Functions → Parent Functions
Torque (Cross Product) → Cross Product
Total Differential → Tangent Planes
Total Distance Traveled → Displacement and Total Distance
Traces of a Surface → Quadric Surfaces
Transformation Matrix → Matrix Transformations
Transformations of Functions (Algebra 2)
Transformations to Achieve Linearity (Statistics)
Transforming Data (Statistics)
Translating a Parabola → Vertex Form
Translation Rule → Translations
Translation Vector → Translations
Translations (Geometry)
Transpose of a Matrix (Linear Algebra)
Transversal → Parallel Lines and Transversals
Trapezoid Rule (Numerical Integration) → Trapezoidal Rule
Trapezoid → Area of Trapezoids
Trapezoidal Rule (Calculus 1)
Trapezoids and Kites (Geometry)
Tree Diagram (Chain Rule) → Multivariable Chain Rule
Tree Diagram (Probability) → Conditional Probability
Trend Line → Line of Best Fit
Triangle Angle Bisector Theorem (Geometry)
Triangle Angle Sum Theorem (Geometry)
Triangle Area with Determinants → Determinant of a Matrix
Triangle Area with Sine → Area of Oblique Triangles
Triangle Inequality Theorem (Geometry)
Triangle Midsegment Theorem (Geometry)
Triangle Proportionality Theorem (Geometry)
Triangle Sum Theorem → Triangle Angle Sum Theorem
Trig Derivatives → Derivatives of Trig Functions
Trig Equations with Identities → Solving Trig Equations with Identities
Trig Equations with Multiple Angles (Trigonometry)
Trig Function of an Inverse Trig Function → Compositions of Inverse Trig Functions
Trig Functions of Any Angle (Trigonometry)
Trig Identities List → Fundamental Trig Identities
Trig Integrals → Trigonometric Integrals
Trig Ratios → Trigonometric Ratios
Trig Substitution → Trigonometric Substitution
Trig Values of Special Angles (Trigonometry)
Trigonometric Equations → Solving Trig Equations
Trigonometric Form of Complex Numbers (Trigonometry)
Trigonometric Integrals (Calculus 2)
Trigonometric Ratios (Geometry)
Trigonometric Substitution (Calculus 2)
Trinomial → Polynomials
Triple Integrals (Calculus 3)
Triple Integrals in Cylindrical Coordinates (Calculus 3)
Triple Integrals in Spherical Coordinates (Calculus 3)
Trivial Solution → Homogeneous Systems
Turning Points of a Polynomial → Graphing Polynomial Functions
Two Tangent Theorem → Tangents to a Circle
Two-Column Proofs (Geometry)
Two-Path Test → Limits of Multivariable Functions
Two-Proportion z-Interval → Confidence Interval for a Difference in Proportions
Two-Proportion z-Test (Statistics)
Two-Sample t-Interval → Confidence Interval for a Difference in Means
Two-Sample t-Test (Statistics)
Two-Step Equations (Algebra 1)
Two-Step Inequalities (Algebra 1)
Two-Variable Linear Equations (Algebra 1)
Two-Way Tables (Algebra 1)
Type 2 Improper Integrals → Improper Integrals with Infinite Discontinuities
Type I and Type II Errors (Statistics)
Type I and Type II Regions → Double Integrals over General Regions
Type I Error → Type I and Type II Errors
Type II Error → Type I and Type II Errors

U

U-Substitution (Calculus 1)
U-Substitution with Definite Integrals (Calculus 1)
Unbiased Estimator → Sampling Distributions
Undefined Terms → Points, Lines and Planes
Undercoverage → Sampling Bias
Uniform Distribution → Density Curves
Union and Intersection (Probability) → Addition Rule and Mutually Exclusive Events
The Unit Circle (Trigonometry)
Unit Circle Chart → The Unit Circle
Unit Conversions (Pre-Algebra)
Unit Normal Vector → Unit Tangent and Unit Normal Vectors
Unit Price → Unit Rates
Unit Rates (Pre-Algebra)
Unit Tangent and Unit Normal Vectors (Calculus 3)
Unit Tangent Vector → Unit Tangent and Unit Normal Vectors
Unlike Denominators → Adding and Subtracting Fractions
Using Identities to Solve Trig Equations → Solving Trig Equations with Identities

V

V-Shaped Graph → Absolute Value Functions
Variable Exponent Derivative → Logarithmic Differentiation
Variables (Algebra 1)
Variables on Both Sides → Equations with Variables on Both Sides
Variance of a Random Variable → Expected Value
Variance of a Sum → Combining Random Variables
Variance → Standard Deviation
Varies Directly → Direct Variation
Varies Inversely → Inverse Variation
Vector Addition → Adding and Subtracting Vectors
Vector Equation of a Line → Equations of Lines in 3D
Vector Equation → Linear Combinations
Vector Fields (Calculus 3)
Vector Functions and Space Curves (Calculus 3)
Vector Magnitude → Magnitude and Direction of a Vector
Vector Product → Cross Product
Vector Projections (Calculus 3)
Vector Space Axioms → Vector Spaces
Vector Spaces (Linear Algebra)
Vector Word Problems (Precalculus)
Vector-Valued Functions (Calculus 2)
Vectors in 3D (Calculus 3)
Velocity and Acceleration → Position, Velocity and Acceleration
Velocity Vector → Vector-Valued Functions
Verifying Solutions to Differential Equations (Calculus 2)
Verifying Trig Identities (Trigonometry)
Vertex Form (Algebra 1)
Vertex of a Parabola → Vertex Form
Vertical and Horizontal Shifts → Transformations of Functions
Vertical Angles Theorem → Proving Angle Relationships
Vertical Angles → Angle Pairs
Vertical Asymptote of a Log Function → Graphing Logarithmic Functions
Vertical Asymptotes and Limits → Infinite Limits
Vertical Asymptotes in Integrals → Improper Integrals with Infinite Discontinuities
Vertical Asymptotes → Graphing Rational Functions
Vertical Line Test → Relations and Functions
Vertical Lines → Horizontal and Vertical Lines
Vertical Method (Polynomials) → Adding and Subtracting Polynomials
Vertical Shift of Trig Graphs → Phase Shift
Vertical Tangent Line → Differentiability
Volume of a Cone → Volume of Pyramids and Cones
Volume of a Cylinder → Volume of Prisms and Cylinders
Volume of a Parallelepiped → Determinants as Area and Volume
Volume of a Pyramid → Volume of Pyramids and Cones
Volume of a Rectangular Prism → Volume of Prisms and Cylinders
Volume of a Solid with a Hole → Washer Method
Volume of a Sphere → Surface Area and Volume of Spheres
Volume of Prisms and Cylinders (Geometry)
Volume of Pyramids and Cones (Geometry)
Volume of Revolution → Disk Method
Volume Ratio of Similar Solids → Similar Solids
Volume with Known Cross Sections → Volumes by Cross Sections
Volume with Triple Integrals → Triple Integrals
Volumes by Cross Sections (Calculus 1)
Voluntary Response Sample → Sampling Bias

W

Waiting-Time Distribution → Geometric Distribution
Washer Method (Calculus 1)
Welch’s t-Test → Two-Sample t-Test
What Is a Limit? → Introduction to Limits
Which Series Test to Use → Choosing a Convergence Test
Work (Force and Displacement) → Vector Word Problems
Work along a Curve → Line Integrals
Work Done by a Variable Force (Calculus 2)
Work Integral → Work Done by a Variable Force
Work Problems (Rational Equations) → Solving Rational Equations
Work to Pump Water Out of a Tank → Pumping Liquid Problems
Writing Equations in Slope-Intercept Form (Algebra 1)
Writing Expressions → Algebraic Expressions

X

X-Intercepts and Y-Intercepts (Algebra 1)

Y

y = mx + b → Slope-Intercept Form
y − y₁ = m(x − x₁) → Point-Slope Form
Y-Intercept → X-Intercepts and Y-Intercepts

Z

Z-Score → Percentiles and Z-Scores
Z-Table → Standard Normal Distribution
Zero and Negative Exponents (Algebra 1)
Zero Exponent → Zero and Negative Exponents
Zero Product Property (Polynomials) → Solving Polynomial Equations
Zero Subspace → Subspaces
Zero Times Infinity Limit → Indeterminate Forms
Zeros of a Function → Key Features of Functions