7th Grade Math
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7th Grade Math Curriculum

Seventh grade is a big year for math, and Miacademy’s prealgebra program is ready to help students take on the challenge! With fun, interactive lessons and plenty of real-world practice, kids can build the skills they need for algebra and beyond — all while keeping math engaging and approachable.

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

Before beginning math in seventh grade, students should have a solid understanding of sixth grade math concepts.

While not required, we suggest students take our sixth grade math course, Math Level G, or an equivalent course before starting math in 7th grade.

Your child is most likely ready to tackle seventh grade math if they can:

  1. Add, subtract, multiply, and divide multi-digit decimals
  2. Add, subtract, multiply, and divide fractions and mixed numbers
  3. Apply ratio reasoning to solve problems, including unit rates
  4. Understand and use percents to solve real-world problems
  5. Work with positive and negative numbers on a number line
  6. Plot points and interpret coordinates in all four quadrants
  7. Understand and find the area of triangles, quadrilaterals, and polygons
  8. Solve one-step equations and inequalities with whole numbers and fractions
  9. Apply order of operations with parentheses, exponents, and all four operations
  10. Understand statistical concepts like mean, median, mode, and range
  11. Represent and interpret data with line plots, histograms, and box plots

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 7th grade math PDF: 

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

  1. Apply operations with rational numbers (including negative numbers and fractions)
  2. Solve problems involving ratios, rates, and proportional relationships
  3. Analyze proportional relationships and use them to solve real-world problems
  4. Solve multi-step percent problems, including discounts, tax, and interest
  5. Work with expressions, equations, and inequalities
  6. Apply properties of operations to generate equivalent expressions
  7. Solve linear equations and inequalities in one variable
  8. Understand and apply concepts of scale drawings and geometric constructions
  9. Solve problems involving area, surface area, and volume of two- and three-dimensional objects
  10. Draw inferences about populations based on samples (basic statistics concepts)
  11. Understand and work with probability concepts

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

In the first part of our Prealgebra curriculum, students will complete their mastery of the four basic operations to enhance their confidence and fluency in math. They will also be introduced to foundational algebraic concepts including variables, expressions, and simple equations. This groundwork will prepare them to develop strong algebraic reasoning skills for Prealgebra 2 in eighth grade.

  • Introduction to Math: Level H
  • Scaled Images
  • Scale Factor
  • Corresponding Parts: Part 1
  • Corresponding Parts: Part 2
  • Solving Problems With Corresponding Parts
  • Scaling Distance and Area: Part 1
  • Scaling Distance and Area: Part 2
  • Scaling Images Wrap-Up
  • Is It Proportional?
  • Multiple Representations of Proportional Relationships
  • Comparing Proportional Relationships
  • Solving for Unknown Values in Proportional Relationships
  • One-Step Unit Conversions
  • Multistep Unit Conversions
  • Proportional Relationships Wrap-Up
  • The Number System: Integers
  • Adding Integers: Part 1
  • Adding Integers: Part 2
  • Subtracting Integers: Part 1
  • Subtracting Integers: Part 2
  • Mixed Addition and Subtraction With Integers
  • Multiplying Integers
  • Dividing Integers
  • Mixed Operations With Integers
  • Operations With Integers Wrap-Up
  • The Number System: Rational Numbers
  • Adding and Subtracting Decimals With Negatives
  • Adding and Subtracting Fractions With Negatives
  • Multiplying and Dividing Decimals With Negatives
  • Multiplying and Dividing Fractions With Negatives
  • Mixed Operations With Negative Rational Numbers
  • Operations With Negative Rational Numbers Wrap-Up
  • Exponents With Integer Bases
  • Non-Positive Integer Exponents
  • Multiplying With Exponents
  • Dividing With Exponents
  • Interpreting Scientific Notation
  • Comparing With Scientific Notation
  • Operations With Scientific Notation
  • Exponents and Scientific Notation Wrap-Up
  • Square Roots of Perfect Squares
  • The Number System: Irrational Numbers
  • Comparing With Irrational Numbers
  • Estimating Square Roots
  • Simplifying Square Roots
  • Square Roots With Variables
  • Roots and Irrational Numbers Wrap-Up
  • Evaluating Variable Expressions
  • Evaluating Multivariable Expressions
  • Like Terms
  • Combining Like Terms
  • Distribution
  • Simplifying Expressions
  • Expressions Wrap-Up
  • One-Step Equations With Negatives
  • Solving Equations With Exponents and Square Roots
  • Two-Step Equations: Part 1
  • Two-Step Equations: Part 2
  • Multistep Equations: Part 1
  • Multistep Equations: Part 2
  • Solving Problems With Equations: Part 1
  • Solving Problems With Equations: Part 2
  • Equations Wrap-Up
  • Types of Angles and Angle Relationships
  • Finding Missing Angles
  • Using Angle Relationships
  • Classifying Triangles by Angles
  • Angles and Angle Relationships Wrap-Up
  • Introduction to Circles
  • Circumference
  • Area of Circles
  • Surface Area of Cylinders
  • Volume of Cylinders
  • Surface Area of Cones
  • Volume of Cones
  • Surface Area of Spheres
  • Volume of Spheres
  • Circles, Cylinders, Cones, and Spheres Wrap-Up
  • The Probability Scale
  • Theoretical Probability: Part 1
  • Theoretical Probability: Part 2
  • Theoretical Probability With Data
  • Experimental Probability
  • Compound Probability
  • Probability Wrap-Up
  • Course Wrap-Up

By the end of our middle school math program, students have built a strong foundation and the confidence to tackle high school concepts head-on! With skills that stick, and a sense of accomplishment, they’re ready to take the next step in their math journey.

Plus, one of the best things about our seventh grade math 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 seventh 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.