6th Grade Math

6th Grade Math Curriculum

By sixth grade math, many students have a solid handle on the basics and are ready for algebra. These math skills also start to appear in other core subjects, like chemistry and geography!

Sixth graders expand their math skills through fractions and decimals, ratios, negative numbers, and beginner algebra, like one-step equations and inequalities. They’ll also dive into coordinate plane graphs, basic geometry, and data and statistics to build critical thinking and problem-solving confidence. 

Miacademy’s sixth grade math program nurtures this through engaging videos, interactive activities, and a personalized learning path that makes skill mastery enjoyable AND rewarding.

Interested in more math videos for middle school? Visit our YouTube channel  @TheMiacademyLearningChannel!

Before beginning sixth grade math, students should have a solid understanding of fifth-grade math concepts.

While not required, we suggest students take our fifth-grade math course, Math Level F (or an equivalent course), before starting math in sixth grade.

Your child is likely ready for sixth-grade math if they can:

  1. Fluently multiply and divide multi-digit whole numbers
  2. Add, subtract, multiply, and divide fractions and decimals
  3. Understand and find factors and multiples, including prime numbers
  4. Compare, order, and perform operations with whole numbers, fractions, and decimals
  5. Understand place value and how it applies to operations with decimals
  6. Use basic number properties (associative, commutative, distributive)
  7. Interpret and solve word problems using all four operations
  8. Understand basic concepts of geometry, including area, perimeter, and volume
  9. Read and create simple graphs and charts (bar, line, pictograph)
  10. Use simple ratios and rates in real-world contexts

Each video lesson has printable math worksheets with additional activities to extend learning beyond the screen with a hands-on approach!

Click here to download a sample sixth-grade math PDF about prime factorization: 

Sixth grade math standards focus on algebra readiness and an introduction to geometry and statistics. This year, students learn how to:

  1. Apply ratios and rates to solve real-world problems with equations
  2. Understand and divide fractions by fractions and perform all operations with decimals
  3. Work with multi-digit numbers and apply the standard algorithm for division and multiplication
  4. Write, evaluate, and simplify expressions using variables
  5. Solve one-step equations and inequalities
  6. Understand and use positive and negative numbers on the number line and in coordinate planes
  7. Analyze and interpret data using measures of center (mean, median, mode) and variability
  8. Find area, surface area, and volume of geometric figures
  9. Understand and apply the concept of statistical variability
  10. Use reasoning to solve multi-step word problems involving all number types

Standards can vary by state, so be sure to check what’s required where you live.

Our sixth grade math curriculum teaches with a spiral approach, continually building off previously learned skills to build student confidence and prepare them for learning new skills.

The curriculum begins with a deep dive into fractions and decimals, covering concepts like prime factorization, operations with mixed numbers, and conversions. Students then explore percentages, ratios, rates, algebraic expressions, one-step equations and inequalities, negative numbers, coordinate planes, geometry, and data.

  • Course Introduction
  • Prime Factorization
  • GCF
  • LCM
  • Fraction Basics
  • Adding and Subtracting Fractions
  • Adding and Subtracting Mixed Numbers
  • Multiplying and Dividing Fractions
  • Multiplying and Dividing Mixed Numbers
  • Adding and Subtracting Decimals
  • Multiplying Decimals
  • Division With Decimal Dividends
  • Division With Decimal Divisors
  • Fraction and Decimal Conversions
  • Fractions and Decimals Wrap-Up
  • Introduction to Percents
  • Decimals, Fractions, and Percents
  • Decimal, Fraction, Percent Conversions
  • Comparing Numbers
  • Ordering Numbers
  • Percent of a Number
  • Applications of Percents
  • Percents Wrap-Up
  • Introduction to Ratios
  • Equivalent Ratios
  • Introduction to Rates
  • Unit Rate: Part 1
  • Unit Rate: Part 2
  • Comparing Rates
  • Percentages and Ratios
  • Ratios and Rates Wrap-Up
  • Exponents
  • Introduction to the Order of Operations
  • Evaluating Expressions
  • Applications of Order of Operations
  • Evaluating Expressions With Substitution
  • Order of Operations Wrap-Up
  • Properties of Numbers
  • Translating to Create Expressions
  • Equivalent Expressions
  • Expressions With Variables Wrap-Up
  • Solving Equations Using Substitution
  • Solving One-Step Equations: Part 1
  • Solving One-Step Equations: Part 2
  • Translating to Create Equations
  • One-Step Equations Wrap-Up
  • Introduction to Negative Numbers
  • The Number Line: Part 1
  • The Number Line: Part 2
  • Comparing Negative and Positive Numbers
  • Absolute Value
  • Ordering Rational Numbers
  • Negative Numbers Wrap-Up
  • Inequalities With Variables
  • Solving One-Step Inequalities: Part 1
  • Solving One-Step Inequalities: Part 2
  • One-Step Inequalities Wrap-Up
  • Four Quadrants
  • Plotting Points
  • Distance on the Coordinate Plane
  • Coordinate Plane Wrap-Up
  • Geometry Basics
  • Parallelograms, Rectangles, and Squares
  • Triangles
  • Area of Composite Figures
  • 3D Figures
  • Nets of 3D Figures
  • Surface Area of Prisms
  • Surface Area of Pyramids
  • Volume of Prisms
  • Volume of Pyramids
  • Geometry Wrap-Up
  • Statistical Questions
  • Claims and Sampling
  • Frequency Tables and Dot Plots
  • Interpreting Histograms
  • Creating Histograms
  • Mean, Median, Mode, and Range
  • Interquartile Range
  • Creating Box Plots
  • Interpreting and Analyzing Box Plots
  • Comparing Data Displays
  • Data and Statistics Wrap-Up
  • Course Wrap-Up

Miacademy’s sixth-grade math curriculum is expertly designed to help students master essential math skills through a meaningful and engaging learning process. The program builds a solid understanding of algebra and geometry foundations while also introducing students to new concepts like ratios.

Through interactive lessons, practical applications, and adaptive practice, Miacademy helps students build both math competence and confidence.

Plus, one of the best things about our sixth-grade curriculum is homeschooling with flexibility! You get full customization over your lesson plans and assignments to fit your child’s unique learning needs. Students can skip what they already know and dive into new challenges!

Our family of accredited curricula covers everything from learning to count to precalculus and adapts easily to your child’s educational needs.

Whether you homeschool full time or are looking to supplement a public school education, we’re here to support you! Wondering if Miacademy’s sixth-grade homeschool curriculum is a good fit for your student? Start a chat with one of our friendly customer service agents below! They’ll be happy to help you with any questions you may have.