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7th Grade Math Curriculum
Seventh grade is a big year for math, and Miacademy’s 7th grade math 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.
7th Grade Math – 74 Objectives
Learning objectives are clear statements of what your child should know or be able to do by the end of a lesson. These objectives show exactly what your child is working toward, and show how we break up a big subject into manageable, trackable steps.
Numeracy: Fractions and Decimals
- Interpret numbers written in scientific notation using both positive and negative exponents
- Translate between scientific notation and whole numbers
Numeracy: Negative Numbers
- Classify whole numbers vs natural numbers vs integers
Numeracy: Irrational Numbers
- Classify rational vs irrational numbers
- Understand that the square root of any number besides a perfect square will be irrational
- Understand that pi is an irrational number that represents the ratio of the diameter to the circumference of ANY circle
- Understand that the square root of x^2 is x
Operations: Simple Addition/Subtraction
- Add and subtract integers
- Add and subtract positive and negative fractions and decimals
- Combining like terms
Operations: Simple Multiplication/Division
- Multiply and divide integers
- Multiply and divide positive and negative fractions and decimals
- Distributing multiplication into a grouping
Operations: Order of Operations
- Apply GEMS, the order of operations, to simplify expressions, including those involving absolute value, exponent rules, and/or roots
Operations: Exponents
- Know that any base raised to the power of 0 will always be 1
- Understand what negative exponents represent
- Rewrite any exponent expression using only positive exponents
- Product of powers property: multiplying exponent terms
- Quotient of powers property: Dividing exponent terms
- Evaluate exponents with integer (positive and negative) bases
- Single-term multiplication and division with numbers written in scientific notation
Operations: Roots
- Identify perfect squares and their square roots up to 225
- Estimate square roots of non-perfect squares to the tenths place within +/-0.25
- Understand that the square root of x^2 is x
- Take the square root of single variable terms with even exponents
- Simplify the square root of an imperfect square by breaking it into a product containing a perfect square
Operations: Absolute Value
- Apply the order of operations to expressions involving absolute value
Geometry: Shapes and Their Properties
- Define the radius, diameter, and circumference of a circle
- Explain the relationship between the radius, and diameter of a circle
- Explain the relationship between the diameter of a circle, its circumference, and pi
Geometry: Perimeter
- Find the circumference of a circle
Geometry: Area
- Circles
Geometry: Surface Area
- Cylinder
- Cone
- Sphere
- Recognize that the surface area of a cylinder is comprised of two circles for the bases and a rectangle for the lateral surface
- Recognize that surface area of a cone is comprised of a circle for the base and a partial circle for the lateral surface
Geometry: Volume
- Cylinder
- Cone
- Sphere
Geometry: Plane Geometry
- Define a scaled object as the same thing, just larger or smaller
- Identify scaled images, including when they have been rotated, by sight and later by comparing the scale of corresponding parts
- Calculate the scale factor between an object and its image
- Define “corresponding part” within the context of scaled objects
- Identify and name a corresonding part to a given part of an object
- Articulate that side lengths scale proportionally, while area scales by a squared factor
- Calculate a missing length or area within either an object or its image
Geometry: Angles
- Define acute, right, obtuse, straight, and perpendicular angles
- Identify the 5 types of angles from a picture and/or using a protractor
- Define complementary and supplementary angle relationships
- Solve problems using complementary and supplementary angles (ie find a missing angle)
Geometry: Triangles and Trigonometry
- The interior angles of a triangle will always add to 180 degrees
Measurement, Data and Probability: Measurement
- Complete single-step conversions (ie feet to yards)
- Complete multi-step conversions (ie inches to miles or kg to tons)
Measurement, Data and Probability: Probability
- Define probability as a measure of likelihood
- Understand the probability scale and interpret the likelihood of an event based on its probability (ie if there’s a 5% probability, it’s very unlikely)
- Calculate theoretical probability
- Calculate experimental probability
- Explain the difference between theoretical and experimental probability and why they may not match for an event
- Create tree diagrams to calculate compound probabilities
Number Sentences: Expressions
- Identify like terms
- Combine like terms
- Distribute multiplication
- Apply the order of operations to simplifying expressions with variables, not just constants
- Substitute and evaluate expressions with more than one variable
Number Sentences: Equations
- Solving one-step equations (now including negative numbers)
- Solving two-step equations
Graphing: The Number Line
- Continue using number lines as a support for operations with integers
- Plotting irrational numbers on the number line
Relationships Between Values: Ratios and Proportions
- Define a proportional relationship as one where one quantity varies directly with another by multiplication involving the constant of proportionality
- Calculate unit rate and use it to make determinations in context (ie this unit rate being higher means that Jose runs faster than Ramon)
- Represent proportional relationships in a table
- Represent a proportional relationship as an equation y=kx with representational variables (ex: if Kelly drinks 10 glasses of water per day, then w=10d and also d=w/10)
- Use proportional equations to answer questions, such as by substituting and solving
Course Information
Math: Level H (New 2025)
In the first part of our 7th grade math 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 eighth grade math.
Sample Lesson
Grade Subject Activity PDF
Our courses also come with printable PDF extension activities, perfect for hands-on practice away from the screen. Prefer not to print? Select courses also offer full-course workbooks, giving your student a ready-made, all-in-one resource for extra practice and review.
Choosing the Best 7th Grade Homeschool Curriculum
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.
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.
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