Will this help with my child's 8th grade math homework?

Yes. StudyPug covers every topic in the DC 8th grade math course, from linear equations and functions to the Pythagorean Theorem and scatter plots, so your child can find help the moment they get stuck.

How long are the video lessons?

Most video lessons run between 5 and 15 minutes. They are broken into short, focused segments so your child can watch exactly what they need without sitting through a full class replay.

Is there a DC test for 8th grade math in the District of Columbia?

DC students take the DC CAPE assessment, which includes 8th grade mathematics. StudyPug content is aligned to DC academic standards, so regular practice here supports preparation for that assessment.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktop computers. Your child can switch between devices and pick up right where they left off, which makes it easy to study at home or on the go.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see the quality before committing. There is also a 30-day money-back guarantee, so you can subscribe with confidence and ask for a refund if it is not the right fit.

DC 8th Grade Math Curriculum

Give your child the support they need to keep up with 8th grade math in DC. Our lessons follow the District of Columbia academic standards so every topic matches what their teacher is covering.

DC 8th Grade Math Curriculum

IDStandardStudyPug Topic

8.NS.A.1Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
- Rational vs. Irrational numbers
- Understanding the number systems
8.NS.A.2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).
- Converting repeating decimals to fractions
- Determine square roots of rational numbers
- Estimating square roots
8.EE.A.1Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- Product rule of exponents
- Quotient rule of exponents
- Power of a product rule
- Power of a quotient rule
- Power of a power rule
- Using exponents to describe numbers
- Exponent rules
- Order of operations with exponents
8.EE.A.2Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
- Cubic and cube roots
- Square and square roots
- Converting radicals to mixed radicals
- Converting radicals to entire radicals
- Squares and square roots
8.EE.A.3Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
- Scientific notation
8.EE.B.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
- Parallel and perpendicular lines in linear functions
- Understanding graphs of linear relationships
- Understanding tables of values of linear relationships
- Applications of linear relationships
- Identifying proportional relationships
8.EE.B.6Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
- Slope intercept form: y = mx + b
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
8.EE.C.7Solve linear equations in one variable.
- Introduction to linear equations
- Model and solve one-step linear equations: ax = b, x/a = b
- Solving two-step linear equations using addition and subtraction: ax + b = c
- Solving two-step linear equations using multiplication and division: x/a + b = c
- Solving two-step linear equations using distributive property: a(x + b) = c
- Solving literal equations
8.EE.C.8Analyze and solve pairs of simultaneous linear equations.
- Solving systems of linear equations by graphing
- Determining number of solutions to linear equations
- Solving systems of linear equations by elimination
- Solving systems of linear equations by substitution
8.F.A.1Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
- Identifying functions
- Relationship between two variables
8.F.A.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
- Function notation
8.F.B.4Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
- Applications of linear relations
8.F.B.5Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
- Graphing linear functions using table of values
8.G.A.1Verify experimentally the properties of rotations, reflections, and translations.
- Tessellations using translations and reflections
- Line symmetry
8.G.A.2Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
- Rotational symmetry and transformations
8.G.A.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
- Tessellations using rotations
- Enlargements and reductions with scale factors
8.G.A.4Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
- Similar polygons
8.G.A.5Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
- Similar triangles
8.G.B.6Explain a proof of the Pythagorean Theorem and its converse.
- Pythagorean theorem
8.G.B.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
- Using the pythagorean relationship
8.G.B.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- Applications of pythagorean theorem
- Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
8.G.C.9Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
- Word problems relating volume of prisms and cylinders
- Surface area and volume of cones
- Surface area and volume of spheres
- Volume of cylinders
8.SP.A.1Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
- Reading linear relation graphs
- Box-and-whisker plots and scatter plots
8.SP.A.2Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
- Solving linear equations by graphing

8th Grade Math

About 8th Grade District of Columbia math

The District of Columbia follows DC academic standards for mathematics, built around number systems, expressions and equations, functions, geometry, and statistics and probability. In 8th grade, students work through rational and irrational numbers, integer exponents and scientific notation, linear equations and systems, functions and slope, geometric transformations and the Pythagorean Theorem, and bivariate data analysis. StudyPug provides video lessons and practice problems aligned to every one of these strands.

Strands covered: The Number System, Expressions and Equations, Functions, Geometry, and Statistics and Probability
Video lessons for every 8th grade math topic, taught step by step
Practice problems and worked examples matched to DC academic standards
Study at any pace, on any device, with instant access to all course content

Curriculum topics by strand

Find lessons and practice for every 8th grade topic, aligned to District of Columbia academic standards.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

DC 8th Grade Math Topics

The Number System: Rational and irrational numbers, decimal expansions, rational approximations of irrational numbers, and locating them on a number line.
Expressions and Equations: Integer exponent properties, square and cube roots, scientific notation, operations with scientific notation, and solving linear equations in one variable.
Functions: Understanding functions and their graphs, comparing functions represented in different ways, linear functions and slope, modeling linear relationships, and analyzing graphs qualitatively.
Geometry: Rotations, reflections, and translations; congruence and similarity of two-dimensional figures; dilations and coordinates; angle relationships with parallel lines and transversals; the Pythagorean Theorem and its converse; volumes of cones, cylinders, and spheres.
Statistics and Probability: Scatter plots and patterns of association, fitting lines to bivariate data, interpreting linear models, and two-way tables for categorical data.

How StudyPug Helps DC 8th Grade Math Students

When your child hits a wall on slope, systems of equations, or geometric transformations, StudyPug lets them go back to exactly the lesson they need rather than waiting for the next class. Our 8th grade math notes and video lessons walk through each concept step by step, and the built-in 8th grade math quiz lets them check their understanding before a test.

Students who built their skills in 7th grade will find 8th grade content builds directly on that foundation. If your child needs a quick refresher on earlier topics, our DC grade 7 math curriculum page links to the prior year course.

Aligned to DC 8th Grade Math Curriculum

Every lesson and practice problem on StudyPug is organized around the District of Columbia academic standards for 8th grade mathematics, covering the same strands and learning expectations that DC teachers use in the classroom, so your child is always working on what actually matters for their grade.

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Jump into practice questions for every DC Grade 8 Math topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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