What should a Grade 8 student know in math?
Linear equations and systems, functions, exponents and scientific notation, the Pythagorean theorem, and transformations.
Grade 8 math practice — adaptive, verified, parent-run
7,322 verified practice questions across 73 Common Core concepts for Grade 8
What should a Grade 8 student know?
Eighth grade is the dress rehearsal for algebra. Linear equations and systems, functions as input-output rules, exponents and scientific notation — the whole Algebra 1 toolkit gets assembled here.
Geometry turns transformational: congruence, similarity, and the Pythagorean theorem. Statistics becomes two-variable scatter plots and trend lines. A confident eighth grader finds Algebra 1 familiar, not frightening.
The curriculum map
Every Common Core concept we cover for Grade 8
Expressions and Equations
- Analyze and solve systems of linear equations
- Apply integer exponent properties to generate equivalent expressions
- Apply properties of integer exponents
- Choose appropriate units and interpret scientific notation
- Classify linear equations by number of solutions
- Compare proportional relationships in different representations
- Compute with numbers in scientific notation
- Derive equations y = mx and y = mx + b
- Derive slope and y = mx + b
- Estimate and compare quantities using scientific notation
- Estimate with scientific notation
- Evaluate square roots of perfect squares and cube roots of perfect cubes
- Explain why slope is constant using similar triangles
- Graph proportional relationships and interpret slope
- Graph proportional relationships and interpret unit rate as slope
- Perform operations with scientific notation
- Solve linear equations in one variable
- Solve linear equations with rational coefficients
- Solve real-world problems with systems of linear equations
- Solve systems of linear equations algebraically and by graphing
- Understand system solutions as graph intersections
- Use square root and cube root symbols to represent solutions
- Use square roots and cube roots
Functions
- Compare functions in different representations
- Compare properties of functions across representations
- Construct a linear function from a description, table, or graph
- Construct and interpret linear function models
- Define, evaluate, and compare functions
- Describe and sketch functional relationships qualitatively
- Describe qualitative features of a function from its graph
- Give examples of functions that are not linear
- Interpret linear functions and identify nonlinear functions
- Interpret rate of change and initial value in context
- Interpret y = mx + b as defining a linear function
- Sketch a graph from a verbal description of a function
- Understand function as input-output rule
Geometry
- Apply Pythagorean Theorem for coordinate distance
- Apply Pythagorean Theorem to find unknown side lengths
- Apply the Pythagorean Theorem
- Apply volume formulas for cylinders, cones, and spheres
- Describe a transformation sequence showing congruence
- Describe a transformation sequence showing similarity
- Describe effects of transformations using coordinates
- Describe transformation effects on coordinates
- Establish AA similarity
- Establish angle facts using informal arguments
- Establish transversal angle facts
- Establish triangle angle sum and exterior angle facts
- Explain a proof of the Pythagorean Theorem and its converse
- Know and apply volume formulas for cylinders, cones, and spheres
- Understand congruence as a sequence of rigid transformations
- Understand congruence via transformations
- Understand similarity as a sequence of transformations
- Understand similarity via transformations
- Verify properties of transformations
- Verify that rigid transformations preserve lengths, angles, and parallelism
Statistics and Probability
- Construct and interpret scatter plots
- Construct and interpret two-way frequency tables
- Construct scatter plots for bivariate data
- Describe patterns in scatter plots
- Informally fit a line to scatter plot data
- Informally fit a line to scatter plot data and assess fit
- Investigate association in bivariate categorical data
- Use a linear model equation to solve problems and interpret slope/intercept
- Use linear model equations with bivariate data
The Number System
- Approximate and locate irrational numbers on a number line
- Approximate irrational numbers
- Classify numbers as rational or irrational
- Convert a repeating decimal to a rational number
- Convert repeating decimals to fractions
- Estimate values of expressions involving irrationals
- Know rational and irrational numbers
- Know that irrational numbers exist and rationals have repeating decimals
Diagnosis, not just marking
Where Grade 8 students actually go wrong
For these concepts we've written up the specific mistaken rules children apply — what each one sounds like at the kitchen table, and why it feels right to them. Free to read, no account needed.
Grade 8 math — questions parents ask
How much math practice does a Grade 8 student need each day?
Short and daily beats long and rare. Most families set a 10–30 minute time budget; Algo School sizes each Grade 8 session to that budget and to your child's pace — a quick day never becomes a marathon.
How does Algo School help with Grade 8 math at home?
Algo School generates short daily sessions from 7,322 verified Grade 8 questions, checks every answer, and adapts the next session to what your child actually mastered. When they're stuck, an answer-guarded AI tutor coaches with questions and hints — and you get an email brief after every tutoring session. Homeschool families use the per-concept mastery record as their assessment evidence.
Math practice for every band — home and homeschool, Grade 1 through Algebra 2.
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