8Common Core-aligned · Grade 8

Grade 8 Math Worksheets

Free printable and interactive Grade 8 math worksheets aligned to Common Core. 197 worksheets so far. Every worksheet has an answer key and can be completed online with instant feedback.

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Grade 8 Math topics & skills

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Geometry

8.G.A.1.a

Check by experiment that rotations, reflections, and translations move lines to lines and segments to equal-length segments.

Worksheet
Grade 8
Ski Resort: Map and Snowfall Overlay Checks
Geometry · 8.G.A.1.a
Premium13 questions
Worksheet
Grade 8
Skate and Climb Gym: Template Tests
Geometry · 8.G.A.1.a
Premium13 questions
Worksheet
Grade 8
Game Studio: Level Balance Motion Audit
Geometry · 8.G.A.1.a
Free13 questions
Worksheet
Grade 8
Music Festival: Layout Motion Lab
Geometry · 8.G.A.1.a
Premium13 questions
Worksheet
Grade 8
Fitness Tracker: Display Motion Tests
Geometry · 8.G.A.1.a
Premium14 questions
Worksheet
Grade 8
Track Meet Results Board: Straightedge Trials
Geometry · 8.G.A.1.a
Premium13 questions

8.G.A.1.b

Check by experiment that rotations, reflections, and translations move angles to angles with the same measure.

8.G.A.1.c

Check by experiment that rotations, reflections, and translations move parallel lines to parallel lines.

8.G.A.2

Understand congruent figures as ones linked by rotations, reflections, and translations, and describe such a sequence.

8.G.A.3

Use coordinates to describe how dilations, translations, rotations, and reflections change 2-D figures.

8.G.A.4

Understand similar figures as ones linked by rotations, reflections, translations, and dilations, and describe such a sequence.

8.G.A.5

Give informal arguments about triangle angle sums, exterior angles, angles from parallel lines cut by a transversal, and angle-angle similarity.

8.G.B.6

Explain a proof of the Pythagorean Theorem and of its converse.

8.G.B.7

Use the Pythagorean Theorem to find unknown side lengths of right triangles in real-world and math problems in 2-D and 3-D.

8.G.B.8

Use the Pythagorean Theorem to find the distance between two points on a coordinate plane.

8.G.C.9

Know the volume formulas for cones, cylinders, and spheres and use them to solve problems.

Number System

8.NS.A.1

Know that numbers that are not rational are irrational, see that every number has a decimal form, and turn repeating decimals into fractions.

8.NS.A.2

Estimate irrational numbers with rational ones to compare them, place them on a number line, and estimate expressions like pi squared.

Expressions & Equations

8.EE.A.1

Know and use the properties of integer exponents to write equivalent numerical expressions.

8.EE.A.2

Use square and cube root symbols to solve x^2 = p and x^3 = p, find roots of small perfect squares and cubes, and know root 2 is irrational.

8.EE.A.3

Estimate very large or very small quantities as a single digit times a power of 10, and tell how many times bigger one is.

8.EE.A.4

Calculate with numbers in scientific notation, choose sensible units, and read scientific notation produced by technology.

8.EE.B.5

Graph proportional relationships, read the unit rate as the slope, and compare two proportional relationships shown in different ways.

8.EE.B.6

Use similar triangles to explain why slope is the same anywhere on a line, and derive y = mx and y = mx + b.

8.EE.C.7.a

Show with examples that a linear equation in one variable can have one solution, infinitely many, or none, by simplifying it.

8.EE.C.7.b

Solve linear equations with rational coefficients, including ones that need the distributive property and combining like terms.

8.EE.C.8.a

Understand that a solution to a system of two linear equations is a point where their graphs cross.

8.EE.C.8.b

Solve systems of two linear equations with algebra, estimate solutions by graphing, and solve simple cases by inspection.

8.EE.C.8.c

Solve real-world and math problems that lead to two linear equations in two variables.

Functions

8.F.A.1

Understand a function as a rule giving exactly one output for each input, with its graph as the set of input-output pairs.

8.F.A.2

Compare properties of two functions shown in different ways, such as an equation, a graph, a table, or words.

8.F.A.3

Read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear.

8.F.B.4

Write a function for a linear relationship, finding its rate of change and initial value from words, two points, a table, or a graph.

8.F.B.5

Describe how two quantities relate by reading a graph, such as where it rises or falls, and sketch a graph from a story.

Statistics & Probability

8.SP.A.1

Make and read scatter plots of paired data, and describe patterns like clusters, outliers, positive or negative, and linear or not.

8.SP.A.2

Know straight lines model linear trends in scatter plots, fit a line informally, and judge the fit by how close the points are.

8.SP.A.3

Use the equation of a linear model to solve problems with paired data, explaining what the slope and intercept mean.

8.SP.A.4

Find patterns of association in categorical data with two-way tables of frequencies and relative frequencies.

Grade 8 Math topics & skills

Geometry

Number System

Expressions & Equations

Functions

Statistics & Probability

Geometry

8.G.A.1.a

Ski Resort: Map and Snowfall Overlay Checks

Skate and Climb Gym: Template Tests

Game Studio: Level Balance Motion Audit

Music Festival: Layout Motion Lab

Fitness Tracker: Display Motion Tests

Track Meet Results Board: Straightedge Trials

8.G.A.1.b

Robotics Club: Sensor Opening Tests

School Solar Roof: Angle Investigation

Bakery Batch Plans: Angle Lab

Aquarium Feeding Template Trials

3D-Printing Club: Corner Trials

School Store: Online Order Angle Tests

8.G.A.1.c

Tide-Pool Survey: Parallel Strip Tests

Summer Work: Parallel Layout Checks

Shelter Records: Parallel Panel Trials

Recycling Drive: Line Motion Tests

Trip Budget: Parallel Rule Tests

Hiking Maps: Parallel Trail Tests

8.G.A.2

Track Meet: Results Board Layouts

Level Studio: Fair-Play Shape Checks

Fitness Tracker: Trace Layouts

Weather Station: Matching Display Shapes

Tournament Bracket: Score Badge Moves

Swim Practice: Chart Fit Checks

8.G.A.3

Robotics Club: Prototype Coordinate Tests

School Store: Online Order Artwork Controls

Chess Club: Rating Dashboard Geometry

Theater Club: Set and Seat Coordinates

Library Makerspace: Lending Kit Layouts

Fish Tank Feeding Maps

8.G.A.4

Class Trip Budget: Graphic Proofs

Recycling Drive: Sign Design Sequences

Hiking Trip: Trail Map Overlays

Water Quality Lab: Overlay Designs

Launch Day: Fin Shapes and Similarity

Space-Camp Mission Simulator: Similarity Checks

8.G.A.5

City Transfers: Angle Audit

Family Kitchen: Weekly Order Angle Audit

Swim Practice: Angles in the Lap Log

Weather Records: Angle Evidence

Tournament Bracket: Angle Review

Phone Plan Screen Angles

8.G.B.6

Lighthouse Restoration: Why the Measurements Work

Coding Camp: Proof Progress Tracker

Library Tool Kits: A Trapezoid Proof

Theater Set Shop: Why the Right-Angle Test Works

Soccer Season Report: Proof Behind the Graphics

8.G.B.7

Skate and Climb: Diagonal Checks

Community Water Lab: Probe Reach

National Parks Road Trip: Distance Log

Model Rocket Launch Day: Length Checks

Space Camp: Mission Geometry

Ski Resort: Lift Lines and Snowfall Checks

8.G.B.8

Phone Plans: How Close Is the Match?

Family Restaurant: Weekly Delivery Layouts

City Transit: Transfer Geometry

School Roof Solar Project: Connection Audit

Student Opinion Poll: Distance Desk

School Bake Sale: Batch Station Distances

8.G.C.9

Garden Club: Market Volume Plans

Coding Camp: Progress in 3D

Soccer Season: Stats in Three Dimensions