The Ultimate 6th Grade Math Course (+FREE Worksheets)

🧮 Build a Rock-Solid Foundation in 6th Grade Math—Step by Step!

Welcome to The Ultimate 6th Grade Math Course, your complete guide to mastering every key concept taught in Grade 6. For additional educational resources, visit the U.S. Department of Education website.

This course takes students on a structured learning journey through numbers, ratios, geometry, algebra, and data analysis—with clear explanations, interactive examples, and hundreds of practice problems to ensure deep understanding and lasting confidence. For additional educational resources, visit the U.S. Department of Education website.

Whether you’re preparing for classroom exams, standardized tests like the STAAR, or simply aiming to strengthen your math foundation, this course provides everything you need to succeed. For additional educational resources, visit the U.S. Department of Education website.

Each lesson is designed to make learning math engaging, practical, and easy to follow, with printable worksheets, visual aids, and online practice resources. For additional educational resources, visit the U.S. Department of Education website.

Join thousands of students who have transformed their math skills with Effortless Math—and take your understanding of 6th grade math to the next level!

🕒 Study at Your Own Speed—No Schedules, No Stress!

Learn math your way with this flexible, self-paced course! For education statistics and research, visit the National Center for Education Statistics.

You can move through each lesson at the speed that suits you best—no deadlines, no pressure. Every unit includes comprehensive notes, step-by-step examples, and targeted exercises designed to reinforce your understanding of each key 6th-grade math concept. For education statistics and research, visit the National Center for Education Statistics.

By following the clear instructions and completing the guided activities in each lesson, you’ll steadily build the skills and confidence needed to excel in your 6th Grade Math class and beyond. Whether you prefer short daily sessions or longer weekend study blocks, this course adapts to your personal learning style and pace. For education statistics and research, visit the National Center for Education Statistics.

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PARCC Grade 6 Math Full Study Guide Comprehensive Review + Practice Tests + Online Resources

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PARCC Grade 6 Math Full Study Guide Comprehensive Review + Practice Tests + Online Resources

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6th Grade Math Complete Course

Integers

• Using a Diagram to Classify Rational Numbers
• Opposite Integers
• Using Number Lines to Represent Integers
• Using Vertical and Horizontal Number Lines to Represent Integers

Fractions, Decimals, and Mixed Numbers

• Using Number Lines to Represent Fractions
• Using Strip Diagrams to Represent Fractions
• Word Problems: Fraction
• Word Problems Involving Fractions of a Group
• Simplifying Fractions
• Using Number Lines to Represent Decimal
• Repeating Decimals
• Convert Between Fractions and Decimals
• Unit Prices with Decimals and Fractions
• Convert Between Decimals and Mixed Numbers
• Convert Between Improper Fractions and Mixed Numbers
• Order of Decimals, Mixed Numbers and Fractions

Rational Numbers

• Using Number Lines to Represent Rational Numbers
• Using Number Lines to Compare and Order Rational Numbers
• Word Problems of Comparing and Ordering Rational Numbers
• Convert Rational Numbers to a Fraction

Ratios and Proportions

• Write a Ratio
• Ratio Tables
• Using a Fraction to Write down a Ratio
• Matching a Model with a Ratio
• Word Problems Involving Writing a Ratio
• Finding Equivalent Ratio
• Word Problems Involving Comparing Ratio
• Word Problems Involving Equivalent Ratio
• Similarity and Ratios
• Equivalent Rates
• Word Problems Involving Comparing Rates
• Word Problems Involving Rates and Ratios
• Completing a Table and Make a Graph of Ratios and Rates

Percentage

• Representing Percentage
• Using Number Line to Graph Percentages
• Using Decimals, Grid models, and Fractions to Represent Percent
• Using Strip Models to Explain Percent
• Using Grid Models to Solve Percentage Problems
• Using Strip Models to Solve Percentage Problems
• Word Problems Involving Determining Percentage of a Number
• Solving Percentage Word Problems
• Fractional and Decimal Percentages
• Using Grid Models to Convert Fractions to Percentages
• Word Problems Involving Comparing Percent and Fractions
• Word Problems of Converting Between Percent, Fractions, and Decimals
• Percent Problems

Absolute Value

• Absolute Value Definition
• Integers and Absolute Value
• Using Number Lines to Present Absolute Value of Integers
• Integer Inequalities Involving Absolute Values
• Word Problems of Absolute Value and Integers
• Absolute Value of Rational Numbers
• Absolute Values and Opposites of Rational Numbers

Expressions and Equations

• Identifying Expressions and Equations
• Identify Equivalent Expressions
• Using Properties to Write Equivalent Expressions
• Using Strip Models to Identify Equivalent Expressions
• Using Algebra Tiles to Identify Equivalent Expressions
• Using Exponents to Write down Multiplication Expressions
• Using Exponents to Write Powers of Ten
• Prime Factorization with Exponents
• Identifying Errors Involving the Order of Operations
• Writing down Variable Expressions Involving Two Operations
• Using Area Models to Factor Variable Expressions
• Using Distributive Property to Factor Variable Expressions
• Using Distributive Property to Factor Numerical Expressions

Fundamentals of Computations

• Additive and multiplicative relationships
• Properties of Addition
• Using Area Models and the Distributive Property to Multiply
• Reciprocals

Algebraic Operations of Integers

• Using Number Lines to Add Two Negative Integers
• Using Number Lines to Add two Integers with Different Signs
• Using Input/Output Tables to Add and Subtract Integers
• Using Number Lines to Subtract Integers
• Using Number Lines for Multiplication by a Negative Integer
• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Multiply Three or More Numbers
• Order of Operations

Operations of Fraction, Decimal, and Mixed Numbers

• Scaling Whole Numbers by Fractions
• Using Models to Divide Whole Numbers by Unit Fractions
• Dividing Fractions by Whole Numbers in Recipes
• Using Models to Multiply Two Fractions
• Multiplying and Dividing Fractions
• Word Problem for Explaining Fractions as Division
• Word Problems involving Dividing Fractions
• Multiplication and Division of Decimals by Powers of Ten
• Estimate Products of Mixed Numbers
• Scaling by Fractions and Mixed Numbers
• Multiplying Mixed Numbers
• Dividing Mixed Numbers
• Word Problem Involving Multiplying Mixed Numbers
• Multiplying and Dividing Decimals
• Multiplying Three or More Mixed Numbers, Fractions, and Whole Numbers

Variables and Equations

• Finding Independent and Dependent Variables in Tables and Graphs
• Solve Word Problems to Identify Independent and Dependent Variables
• Using Algebra Tiles to Model and Solve Equations
• Using Diagrams to Model and Solve Equations
• Evaluating One Variable

One−Step Operations

• Using Decimals and Fractions to Solve One−Step Addition and Subtraction
• Using Decimals and Fractions to Solve One−Step Multiplication and Division
• Solving and Graphing One-Step Multiplication and Division Equations
• Solving and Graphing One-Step Inequalities with Rational Numbers
• One–Step Equations
• Matching Word Problems with the One-Step Equation
• Word Problems Involving the One-Step Equation

Two-Variable Equation

• Using a Table to Write down a Two-Variable Equation
• Complete a Table and Graph a Two-Variable Equation
• Evaluating Two Variables
• Solving Word problems by Finding Two-Variable Equations

Inequalities

• Write Inequalities from Number Lines
• Graphing Single–Variable Inequalities
• One–Step Inequalities
• Word Problems Involving One-step Inequalities

Measurement System

• Converting, Comparing, Adding, and Subtracting Mixed Customary Units
• Customary Unit Conversions Involving Mixed Numbers and Fractions
• Using Proportions to Convert Traditional and Metric Units
• Compare the Temperatures Above and Below Zero

Geometry and Solid Figures

• Triangles
• Triangle Inequality
• Relationships Between Sides and Angles in a Triangle
• Definition of the Area of a Triangle
• Polygons
• Cubes
• Rectangular Prisms
• Definition of the Area of a Parallelogram
• Word Problems Involving Area of Quadrilaterals and Triangles
• Definition of the Area of a Trapezoid
• Finding Area of Compound Figures
• Finding the Area Between Two Rectangles
• Finding the Area Between Two Triangles
• Word Problems Involving Volume of Cubes and Rectangular Prisms

Coordinate Plane

• Objects on a Coordinate Plane
• Understanding Quadrants
• Coordinate Planes as Maps

Statistics and Data Analysis

• Pie Graph
• Graph The Line Plot
• Distributions in Line Plot
• Relative Frequency Tables
• Frequency Charts
• Mean, Median, Mode, and Range of the Given Data
• Interpreting Charts to find mean, median, mode, and range
• Finding an Outlier
• Finding Range, Quartiles, and Interquartile Range
• Interpreting Categorical Data
• Identifying Statistical Questions
• Word Problems Involving Completing a Table and Making a Graph

Financial Literacy

• Debit and Credit Cards
• Check Registers
• Credit Reports
• Paying for College
• Occupations, Education, and Income

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Frequently Asked Questions

How do you add and subtract mixed fractions?

Adding and subtracting mixed fractions involves combining whole numbers and fractions. To add or subtract mixed fractions, first convert them to improper fractions. Then, perform the addition or subtraction of the fractions and whole numbers separately. Finally, simplify the result if needed. For more detailed step-by-step guidance on adding and subtracting fractions, check out EffortlessMath’s guide on fractions.

How do you multiply and divide decimals?

To multiply decimals, you can ignore the decimal points at first and just multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in the numbers you multiplied and put the decimal point in your answer that many places from the right.

For division, move the decimal point in the divisor (the number you’re dividing by) to the right until it becomes a whole number. Then, move the decimal point in the dividend (the number you’re dividing into) the same number of places to the right. Finally, divide as usual. Remember, practice is key to mastering these skills!

What is the relationship between chord and arc?

A chord is a line segment that connects two points on a circle’s circumference, while an arc is a portion of the circle’s circumference between two points. The relationship between a chord and an arc is that a chord divides the circle into two segments, one on each side of the chord. The arc subtended by the chord is the part of the circle’s circumference that corresponds to these segments. Understanding this relationship can help in solving problems involving circles and their properties. For more in-depth explanations and practice, you can explore the resources in EffortlessMath.com’s Geometry Review.