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8th Grade Math Curriculum
In 8th grade math, students will build on their knowledge from Math Level H in 7th grade to complete Math Level I!
By the end of the year, students will be solving linear equations, working with irrational numbers, exploring systems and functions, and more. Interactive lessons, engaging activities, and real-world practice problems ensure students are prepared for Algebra 1 in high school.
8th Grade Math – 57 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.
Operations: Roots
- Simplify the square root of an imperfect square by breaking it into a product containing a perfect square
Geometry: Plane Geometry
- Describe rigid vs non-rigid transformations in terms of whether they produce a congruent shape or not
- Define a dilation as a scaled copy with a specific placement, created relative to the center of dilation
- Perform, identify, and describe dilations using their scale factor and center of dilation
- Define similar shapes as shapes with proportional corresponding sides and congruent corresponding angles
Geometry: Coordinate Geometry
- Discover that the Pythagorean Theorem can be applied to find distance in the coordinate plane
- Define the distance formula
- Use the distance formula to find the distance between any two points in the coordinate plane
- Perform, identify and describe translations verbally (ie it slid up 2 units) and in coordinate notation (ie (x,y)–>(x,y+2))
- Perform, identify, and describe rotations verbally as 90, 180, 270, or 360 degrees cw or ccw. and with coordinate notation (ie (x,y)–>(x, -y))
- Perform, identify, and describe reflections verbally (ie it reflected over the x-axis) and with coordinate notation (ie (x, y)–>(x, -y))
- Perform, identify, and describe multi-step transformations verbally and with coordinate notation
Geometry: Triangles and Trigonometry
- Discover and use the exterior angle theorem of triangles (not by name)
- Discover and use the hinge theorem (not by name)
- Determine if a presented three-sided figure is plausibly a triangle based on total interior angle measurement and the correspondence of side length to angle measure
- Identify the legs and hypotenuse of a right triangle
- Understand that the Pythagorean Theorem outlines a relationship between the side lengths of a right triangle
- Use the Pythagorean Theorem to identify a missing side length (leg or hypotenuse) in a right triangle. including irrational side lengths
- Identify if two triangles are similar by checking if their side lengths are proportional and/or if their angles are congruent
- Use similarity to find missing angle measurements in a pair of similar triangles
- Use similarity to find missing side lengths in a pair of similar triangles
Measurement, Data and Probability: Representing and Interpreting Data
- Represent data with two variables in lists, tables, or scatterplots
- Create scatterplots from data using an appropriate scale with correct placement of dependent and independent variables if applicable.
- Interpret the meaning of a point on a scatterplot
- Identify association as linear, non-linear, or no correlation
- For linear correlations, identify if it is positive or negative
- Informally fit a line of best fit into a scatterplot and use it to make predictions
- Use trendlines to extrapolate outside of the window of data
Number Sentences: Equations
- Solving equations with variables on both sides
- Solving equations involving equivalent fractions, also called proportions
- Understand what it means for an equation to have no solution, one solution, vs infinite solutions
- Identify the number of solutions an equation has
Number Sentences: Inequalities
- Solve all degree 1 inequalities
- Understand when you flip the inequality sign when solving
- Represent solutions to inequalities on number lines, in inequality notation, and in interval notation
Graphing: The Coordinate Plane
- Graphing linear equations in the form y=mx+b
- Graphing linear equations NOT in the form y=mx+b
Relationships Between Values: Ratios and Proportions
- Define slope as the change in y over change in x, including scaffolding up to this understanding by first defining slope as the ratio of vertical to horizontal change and also as rise over run
- Use slope to find additional points on a line
- Understand that slope IS the constant of proportionality in a proportional relationship
- Discover that y=kx, where k=slope can be used to model proportional relationships
- Move fluidly between multiple models of representing proportional relationships: graphs, written description, and a table of values
- Use a proportional equation y=kx to substitute and solve for additional points
Relationships Between Values: Functions
- Understand that the independent variable, x, is not changed or impacted by any other variable
- Understand that the dependent variable, y, changes based on the value of x
- Identify the independent and dependent variable in a scenario
- Define a function as a relation that has one and only one output for each input
- Work with functions in function notation f(x)
- Interpret f(x)=y as another way of writing a point (x, y)
Relationships Between Values: Linear Functions
- Describe the difference between a proportional relationship (y=kx) and a non-proportional linear relationship (y=mx+b)
- Understand that a linear equation is defined by its slope and its y-intercept
- Write the equation of a line in y=mx+b
- See equations presented in standard form and understand that it is just another way to represent the same relationship
Relationships Between Values: Simultaneous Relationships
- First introduction to the idea of simultaneous equations, aka a system of equations
- Write a system of two equations in slope-intercept form (ONLY) to represent a scenario
- Understand that the solution to a system of equations is a point that is on both lines
- Solve a system of linear equations by graphing
Course Information
Math: Level I (New 2025)
In this course, students will strengthen and bring together their algebraic and geometric reasoning to create a strong foundational understanding of bivariate functions that will prepare them for high school math and beyond. Through an inquiry-based approach, students gain the confidence to interpret and solve complex problems with clarity and precision.
Sample Lesson
8th Grade Math 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.
Miacademy’s Online 8th Grade Homeschool Curriculum
Our 8th grade math curriculum gives your child everything they need to tackle algebra! Designed with flexibility in mind, our self-paced program allows students to take the time they need to study and practice each new concept, promoting skill mastery and confidence.
Whether you homeschool full time or are looking to supplement a public school education, we’re here to support you! Wondering if Miacademy’s eighth 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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