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Middle School Math
This is a list of all Virtual Nerd tutorials in Middle School Math, organized by topic.
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Number Sense and Algebraic Reasoning
Operations With Whole Numbers
- How Do You Write a Whole Number Given in Standard Form in Expanded Form and in Words?
- What is the Commutative Property of Multiplication?
- How Do You Multiply a Three-Digit Number by a One-Digit Number?
- What is the Commutative Property of Addition?
- How Do You Do Long Multiplication?
- What are the Identity Properties of Addition and Multiplication?
- How Do You Write a Whole Number Given in Words in Standard Form and in Expanded Form?
- What's a Dividend and What's a Divisor?
- How Do You Divide a Two-Digit Number by a One-Digit Number With No Remainder?
- How Do You Solve a Word Problem by Dividing Whole Numbers?
- How Do You Add Whole Numbers?
- How Do You Compare Two Whole Numbers?
- How Do You Divide a Two-Digit Number by a One-Digit Number With a Remainder?
- How Do You Divide a Three-Digit Number by a One-Digit Number?
- What is the Associative Property of Addition?
- What is Multiplication?
- What is the Associative Property of Multiplication?
- How Do You Subtract Whole Numbers?
- How Do You Put Whole Numbers in Order From Least to Greatest?
- How Do You Figure Out What a Remainder Means When You're Dividing?
- What is Division?
- How Do You Multiply a Two-Digit Number by a Two-Digit Number?
- How Do You Divide Whole Numbers?
- How Do You Find the Value of a Digit in a Whole Number?
- How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?
- What is Place Value for Whole Numbers?
- What are Natural and Whole Numbers?
- How Do You Put Whole Numbers in Order From Greatest to Least?
- How Do You Do Long Division?
- How Do You Estimate a Multiplication Problem by Rounding?
- How Do You Multiply a Two-Digit Number by a One-Digit Number?
- How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?
Powers and Exponents
Order of Operations
Solving Equations With Mental Math
Variables and Expressions
- What Are Numerical and Algebraic Expressions?
- What are Some Words You Can Use to Write Word Problems?
- How Do You Evaluate an Algebraic Expression with One Variable?
- What is a Variable?
- How Do You Translate Phrases into Numerical Expressions?
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
- How Do You Complete a Table By Plugging in Values?
- How Do You Write a Rule for a Table?
- How Do You Evaluate an Algebraic Expression with Two Variables?
- What is a Constant?
- How Do You Determine Which Operations to Use in a Word Problem?
The Distributive Property
Sequences and Patterns
A Problem-Solving Plan
- How Do You Solve a Problem by Making a Table and Finding a Pattern?
- How Do You Solve a Problem Using the Guess, Check, and Revise Method?
- How Do You Solve a Problem by Making an Organized List?
- How Do You Solve a Problem Using Logical Reasoning?
- How Do You Solve a Word Problem Where You Multiply Fractions and Work Backwards?
- How Do You Make a Problem Solving Plan?
- How Do You Solve a Problem by Drawing a Diagram?
- How Do You Use the Graph of a Linear Equation to Solve a Word Problem?
Measurement
The Customary System
- How Do You Determine the Best Customary Units to Measure a Capacity?
- What are the Customary Units of Weight?
- What are the Customary Units of Capacity?
- What are the Customary Units of Length?
- How Do You Measure an Object in Inches Using a Ruler?
- How Do You Determine the Best Customary Units to Measure a Weight?
Changing Customary Units
The Metric System
- How Do You Measure an Object to the Nearest Centimeter Using a Ruler?
- How Do You Determine the Best Metric Units to Measure a Mass?
- How Do You Measure an Object in Millimeters Using a Ruler?
- How Do You Determine the Best Metric Units to Measure a Capacity?
- What are the Metric Units of Length?
- What is Density?
- What are the Metric Units of Capacity?
- What are the Metric Units of Mass?
Changing Metric Units
Decimals
Number Theory and Fractions
Divisibility
Factors and Prime Factorization
Greatest Common Factor
- How Do You Factor a Greatest Common Factor Out of an Algebraic Expression?
- How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?
- How Do You Find the Greatest Common Factor of Three Numbers?
- How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?
- What is a Greatest Common Factor?
Equivalent Fractions
Least Common Multiple
Comparing and Ordering Fractions
Mixed Numbers and Improper Fractions
Fractions and Decimals
Adding and Subtracting Fractions
Adding and Subtracting Fractions with Like Denominators
Adding and Subtracting Fractions with Unlike Denominators
Adding and Subtracting Mixed Numbers
- How Do You Subtract Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Add Mixed Fractions with the Same Denominator?
- How Do You Add Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Subtract Mixed Fractions with the Same Denominator?
- How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?
Solving Fraction Equations With Addition and Subtraction
- How Do You Solve an Equation With Fractions With Different Denominators Using Subtraction?
- How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?
- How Do You Solve an Equation With Fractions With The Same Denominators Using Subtraction?
- How Do You Solve an Equation With Fractions With Different Denominators Using Addition?
Multiplying and Dividing Fractions
Ratios, Proportions, and Percent
Ratios and Rates
- How Do You Convert a Rate To A Unit Rate?
- How Do You Find Equivalent Ratios by Making a Table?
- What are Equivalent Ratios?
- How Do You Use a Table of Equivalent Ratios to Predict a Value?
- What's a Ratio?
- How Do You Write Ratios From a Table?
- How Do You Write a Ratio From a Word Problem?
- What are Rates and Unit Rates?
- How Do You Find Equivalent Ratios?
- How Do You Write a Ratio in Simplest Form?
- How Do You Use Unit Rates to Compare Rates?
Proportions
Scale Drawings and Models
Percents
- How Do You Figure Out a Percent From a Part to Part Ratio?
- How Do You Turn a Percent into a Decimal?
- How Do You Figure Out a Percent From a Part to Whole Ratio?
- How Do You Turn a Percent Into a Fraction?
- What's a Percent?
- How Do You Turn a Decimal into a Percent?
- How Do You Turn a Fraction Into a Percent?
Percents, Decimals, and Fractions
Percent of a Number
Solving Percent Problems and Estimating With Percents
- How Do You Estimate a Sale Price?
- How Do You Estimate a Percent?
- How Do You Use an Equation to Find a Whole?
- How Do You Use a Proportion to Find What Percent a Part is of a Whole?
- How Do You Use Mental Math to Estimate a Percent?
- How Do You Solve a Word Problem Using a Percent Proportion?
- How Do You Find Percents Mentally Using Fractions?
- How Do You Set Up a Percent Proportion from a Word Problem?
- How Do You Use Compatible Numbers to Estimate a Part of a Whole?
- How Do You Use a Proportion to Find a Whole?
- How Do You Figure Out a Tip?
Geometric Figures
Basics of Geometry
Angles
- What is a Transversal?
- What are Supplementary Angles?
- How Do You Use Complementary Angles to Find a Missing Angle?
- What are Vertical Angles?
- What are Acute, Obtuse, Right, and Straight Angles?
- How Do You Use Supplementary Angles to Find a Missing Angle?
- What is a Degree?
- What is an Angle?
- What are Complementary Angles?
Classifying Polygons
- What is a Trapezoid?
- What is a Polygon?
- What is a Rhombus?
- What is a Square?
- What is a Rectangle?
- How Do You Classify Triangles?
- How Do You Classify Quadrilaterals?
- What is a Triangle?
- How Do You Find a Missing Angle in a Triangle?
- What are Equilateral, Isosceles, and Scalene Triangles?
- What is a Quadrilateral?
- What is the Triangle Sum Theorem?
- What are Acute, Obtuse, and Right Triangles?
- What is a Parallelogram?
- What is a Regular Polygon?
Congruent and Similar Figures
Line Symmetry
Geometry and Measurement
Perimeter and Area of Rectangles
Areas of Parallelograms, Triangles, and Trapezoids
- What is the Formula for the Area of a Trapezoid?
- What is the Formula for the Area of a Triangle?
- How Do You Find the Area of a Composite Figure?
- What is the Formula for the Area of a Parallelogram?
- How Do You Find the Area of a Trapezoid?
- How Do You Find the Area of a Triangle?
- How Do You Find the Area of a Parallelogram?
Circumference and Area of Circles
- How Do You Find the Area of a Circle if You Know the Radius?
- How Do You Find the Circumference of a Circle if You Know the Radius?
- What is the Formula for the Area of a Circle?
- How Do You Find the Circumference of a Circle if You Know the Diameter?
- What is a Circle?
- What is Circumference?
- What is Pi?
- How Do You Find the Diameter of a Circle if You Know its Radius?
- How Do You Find the Area of a Circle if You Know the Diameter?
Solid Figures
Volume of Prisms and Cylinders
Surface Area
Integers and the Coordinate Plane
Integers and Absolute Value
- What are Positive and Negative Numbers?
- What Does Absolute Value Mean In the Real World?
- What is Absolute Value?
- What is the Opposite, or Additive Inverse, of a Number?
- What is the Number Line?
- How Do You Find the Absolute Value of Positive and Negative Numbers?
- What's an Integer?
- How Do You Represent Real World Situations Using Integers?
Comparing and Ordering Integers
Adding Integers
Subtracting Integers
Multiplying and Dividing Integers
The Coordinate Plane
- What is the Origin?
- What is the X-Coordinate?
- How Do You Graph Points in the Coordinate Plane?
- What is the Y-Axis?
- How Do You Find the Area of an Irregular Figure in the Coordinate Plane?
- How Do You Graph Ordered Pairs in Each Quadrant?
- How Do You Graph a Rectangle on a Coordinate Plane?
- What is the Coordinate Plane?
- How Do You Find the Perimeter of a Rectangle in the Coordinate Plane?
- What is the Y-Coordinate?
- What is an Ordered Pair?
- How Do You Find the Area of a Rectangle in the Coordinate Plane?
- How Do You Identify Points on a Graph?
- What is the X-Axis?
- What are Quadrants in the Coordinate Plane?
Transformations in the Coordinate Plane
- How Do You Use a Graph to Reflect a Figure Over the X-Axis?
- What is a Transformation?
- How Do You Use a Graph to Translate a Figure Horizontally?
- How Do You Use a Graph to Translate a Figure Vertically?
- What is a Reflection?
- What is a Translation?
- What is an Image?
- How Do You Use a Graph to Reflect a Figure Over the Y-Axis?
- What is a Line of Reflection?
- What is a Rotation?
Equations and Functions
Expressions and Equations
Solving Addition Equations
Solving Subtraction Equations
Solving Multiplication Equations
Solving Division Equations
Functions
Graphing Functions
Solving Two-Step Equations
Inequalities
- What's an Inequality?
- How Do You Graph an Inequality on a Number Line?
- How Do You Graph the Intersection of Two Inequalities?
- What's a Compound Inequality?
- What Are Some Words We Use To Write Inequalities?
- How Do You Write an Inequality from a Number Line Graph?
- How Do You Solve a One-Step Inequality Using Subtraction?
- How Do You Graph the Union of Two Inequalities?
Probability and Statistics
Probability
Finding Outcomes
- How Do You Determine All the Possible Outcomes of an Experiment?
- What is a Permutation?
- How Do You Use the Fundamental Counting Principle to Count the Number of Outcomes in a Sample Space?
- How Do You Find a Number of Permutations Using the Fundamental Counting Principle?
- What is the Fundamental Counting Principle?
- What is a Sample Space?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
Probability of Independent Events and Areas
Samples and Sampling Methods
Graphs and Data Displays
Frequency Tables and Line Plots
Mean, Median, Mode, and Range
Stem-and-Leaf Plots
Measures of Variation