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See what StudyQuest covers against Common Core (math and ELA), NGSS science, and the C3 social-studies framework, with the topics that teach each standard. Export it for lesson plans or a homeschool portfolio.
Science performance expectations across middle and high school.
Life Science
MS-LS1-1Middle schoolProvide evidence that living things are made of one or many cells.
MS-LS1-2Middle schoolModel how the parts of a cell contribute to its function.
MS-LS1-4Middle schoolArgue how animal behaviors and plant structures aid successful reproduction.
MS-LS1-5Middle schoolExplain how environmental and genetic factors influence an organism’s growth.
MS-LS1-8Middle schoolDescribe how sensory receptors send signals to the brain for behavior or memory.
MS-LS2-3Middle schoolModel the cycling of matter and flow of energy in an ecosystem.
MS-LS2-4Middle schoolArgue how changes to an ecosystem affect its populations.
MS-LS3-1Middle schoolModel how gene mutations may affect proteins and the organism.
MS-LS3-2Middle schoolModel why sexual reproduction produces genetic variation and asexual does not.
MS-LS4-2Middle schoolInfer evolutionary relationships from anatomical similarities among organisms.
MS-LS4-4Middle schoolExplain how trait variation affects survival and reproduction in an environment.
Physical Science
HS-PS2-1High schoolAnalyze data supporting Newton’s second law (force, mass, acceleration).
HS-PS2-2High schoolUse mathematics to show momentum is conserved when there is no net force.
MS-PS1-1Middle schoolModel the atomic composition of simple molecules and extended structures.
MS-PS1-2Middle schoolInterpret data to determine whether a chemical reaction has occurred.
MS-PS1-4Middle schoolModel how particle motion, temperature, and state change as thermal energy changes.
MS-PS2-1Middle schoolApply Newton’s Third Law to the motion of two colliding objects.
MS-PS2-2Middle schoolInvestigate how an object’s change in motion depends on forces and its mass.
MS-PS2-4Middle schoolArgue that gravitational interactions are attractive and depend on mass.
MS-PS4-2Middle schoolModel how waves are reflected, absorbed, or transmitted through materials.
Earth & Space Science
HS-ESS2-1High schoolModel how Earth’s internal and surface processes form continental and ocean features.
HS-ESS2-3High schoolModel the cycling of matter in Earth’s interior by thermal convection.
MS-ESS2-1Middle schoolModel the cycling of Earth’s materials and the energy that drives it.
MS-ESS2-2Middle schoolExplain how geoscience processes reshape Earth’s surface over time.
MS-ESS2-3Middle schoolInterpret fossil, rock, and seafloor data as evidence of past plate motion.
Math content standards, grades 6–8 and high school conceptual categories.
Ratios & Proportional Relationships
6.RP.A.1Grade 6Understand ratio concepts and use ratio language to describe a relationship.
6.RP.A.2Grade 6Understand unit rate and use rate language in context.
6.RP.A.3Grade 6Solve ratio and rate problems, including percents, with tables and diagrams.
7.RP.A.1Grade 7Compute unit rates, including rates with fractions.
7.RP.A.2Grade 7Recognize proportional relationships and the constant of proportionality.
7.RP.A.3Grade 7Solve multistep ratio and percent problems.
The Number System
6.NS.A.1Grade 6Divide fractions by fractions and interpret the quotient in context.
6.NS.B.4Grade 6Use the greatest common factor and least common multiple with whole numbers.
6.NS.C.5Grade 6Use positive and negative numbers to describe opposite directions or values.
6.NS.C.6Grade 6Plot rational numbers on the number line and in all four quadrants.
6.NS.C.7Grade 6Order and find absolute value of rational numbers on the number line.
6.NS.C.8Grade 6Solve problems by graphing points in four quadrants and finding same-axis distances.
7.NS.A.1Grade 7Add and subtract rational numbers on the number line.
7.NS.A.2Grade 7Multiply and divide rational numbers using sign rules.
7.NS.A.3Grade 7Solve real-world problems with the four operations on rational numbers.
8.NS.A.1Grade 8Distinguish rational from irrational numbers by their decimal expansions.
8.NS.A.2Grade 8Approximate irrational numbers and place them on the number line.
Expressions & Equations
6.EE.A.2Grade 6Write, read, and evaluate algebraic expressions with variables.
6.EE.B.7Grade 6Solve one-step equations of the form x + p = q and px = q.
6.EE.B.8Grade 6Write and graph inequalities of the form x > c or x < c.
6.EE.C.9Grade 6Relate dependent and independent variables with equations, tables, and graphs.
7.EE.A.1Grade 7Add, subtract, factor, and expand linear expressions.
7.EE.A.2Grade 7Rewrite an expression to reveal how quantities are related.
7.EE.B.4Grade 7Solve two-step equations and inequalities from word problems.
8.EE.A.1Grade 8Apply the properties of integer exponents to simplify expressions.
8.EE.A.2Grade 8Use square-root and cube-root symbols to solve x² = p and x³ = p.
8.EE.A.3Grade 8Use scientific notation to estimate very large and very small quantities.
8.EE.A.4Grade 8Perform operations with numbers in scientific notation.
8.EE.B.5Grade 8Graph proportional relationships and interpret unit rate as slope.
8.EE.B.6Grade 8Derive y = mx + b using similar triangles.
8.EE.C.7Grade 8Solve linear equations in one variable, including special cases.
8.EE.C.8Grade 8Analyze and solve pairs of simultaneous linear equations.
Functions
8.F.A.1Grade 8Understand a function as a rule assigning one output to each input.
8.F.A.2Grade 8Compare properties of two functions shown in different ways (equation, graph, table, words).
8.F.A.3Grade 8Interpret y = mx + b as a linear function and identify nonlinear ones.
8.F.B.4Grade 8Construct a linear function to model a relationship between two quantities.
8.F.B.5Grade 8Describe a graph qualitatively and sketch a graph from a verbal description.
Geometry
6.G.A.1Grade 6Find areas of triangles and polygons by composing or decomposing shapes.
6.G.A.2Grade 6Find the volume of right rectangular prisms with fractional edge lengths.
6.G.A.3Grade 6Draw polygons in the coordinate plane and find side lengths from coordinates.
6.G.A.4Grade 6Use nets to represent 3-D figures and find their surface area.
7.G.A.1Grade 7Solve problems with scale drawings, computing actual lengths and areas.
7.G.A.3Grade 7Describe the two-dimensional cross-sections of three-dimensional figures.
7.G.B.4Grade 7Use the formulas for the area and circumference of a circle.
7.G.B.5Grade 7Use angle relationships (supplementary, complementary, vertical) to solve for angles.
7.G.B.6Grade 7Find area, surface area, and volume of two- and three-dimensional figures.
8.G.A.1Grade 8Verify the properties of rotations, reflections, and translations.
8.G.A.2Grade 8Show two figures are congruent using a sequence of transformations.
8.G.A.3Grade 8Describe the effect of transformations on coordinates.
8.G.A.4Grade 8Show two figures are similar using transformations including dilations.
8.G.A.5Grade 8Use angle relationships and the angle-angle criterion for similar triangles.
8.G.B.6Grade 8Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7Grade 8Apply the Pythagorean Theorem to find lengths in two and three dimensions.
8.G.B.8Grade 8Apply the Pythagorean Theorem to find distance between two points on the plane.
8.G.C.9Grade 8Use the volume formulas for cones, cylinders, and spheres.
Statistics & Probability
6.SP.A.1Grade 6Recognize a statistical question as one that anticipates variability in the data.
6.SP.A.2Grade 6Describe a data distribution by its center, spread, and overall shape.
6.SP.A.3Grade 6Distinguish a measure of center from a measure of variation.
6.SP.B.4Grade 6Display numerical data in dot plots, histograms, and box plots.
6.SP.B.5Grade 6Summarize numerical data with counts, center, variability, and context.
7.SP.A.1Grade 7Use random sampling to draw inferences about a population.
7.SP.B.4Grade 7Compare two populations using measures of center and variability.
7.SP.C.5Grade 7Understand probability as a number from 0 to 1.
7.SP.C.6Grade 7Approximate the probability of an event from its long-run relative frequency.
7.SP.C.7Grade 7Develop a probability model and use it to find the probabilities of events.
7.SP.C.8Grade 7Find probabilities of compound events using lists, tables, and simulations.
8.SP.A.1Grade 8Construct and interpret scatter plots for bivariate measurement data.
8.SP.A.2Grade 8Fit a straight line to a scatter plot and judge its closeness.
8.SP.A.3Grade 8Use the equation of a linear model to solve problems and interpret slope and intercept.
8.SP.A.4Grade 8Read and interpret two-way tables of categorical data using relative frequencies.
Number & Quantity (HS)
HSN-CN.A.1High schoolKnow i² = −1 and write complex numbers as a + bi.
HSN-CN.A.2High schoolAdd, subtract, and multiply complex numbers using i² = −1.
HSN-Q.A.1High schoolUse units to understand problems, formulas, graphs, and data displays.
HSN-RN.A.2High schoolRewrite radicals and rational exponents using exponent properties.
Algebra (HS)
HSA-APR.A.1High schoolAdd, subtract, and multiply polynomials; they are closed under these operations.
HSA-APR.B.3High schoolIdentify zeros from a factorization and sketch a rough graph of the polynomial.
HSA-CED.A.1High schoolCreate equations and inequalities in one variable and use them to solve problems.
HSA-CED.A.2High schoolCreate equations in two variables and graph them with labels and scales.
HSA-CED.A.4High schoolRearrange formulas to highlight a quantity of interest.
HSA-REI.A.1High schoolExplain each step in solving an equation as following from equality.
HSA-REI.B.3High schoolSolve linear equations and inequalities in one variable.
HSA-REI.B.4High schoolSolve quadratic equations by square roots, factoring, completing the square, or the formula.
HSA-REI.C.6High schoolSolve systems of linear equations exactly and approximately.
HSA-REI.D.10High schoolUnderstand that the graph of an equation in two variables is its solution set.
HSA-REI.D.12High schoolGraph linear inequalities in two variables and systems of those inequalities.
HSA-SSE.A.1High schoolInterpret parts of an expression, such as terms, factors, and coefficients.
HSA-SSE.B.3High schoolRewrite an expression to reveal properties of the quantity it represents.
Functions (HS)
HSF-BF.B.3High schoolIdentify the effect of f(x)+k, kf(x), f(kx), and f(x+k) on a graph.
HSF-BF.B.4High schoolFind inverse functions for simple cases by solving y = f(x) for x.
HSF-IF.A.1High schoolUnderstand a function as assigning exactly one output to each input.
HSF-IF.A.2High schoolUse function notation, evaluate functions, and interpret f(x) in context.
HSF-IF.B.4High schoolInterpret key features of graphs and tables: intercepts, max/min, and intervals.
HSF-IF.C.7High schoolGraph functions and show key features by hand or with technology.
HSF-LE.A.1High schoolDistinguish situations that are linear from those that are exponential.
HSF-LE.A.2High schoolConstruct linear and exponential functions from graphs, tables, or descriptions.
HSF-LE.A.4High schoolExpress exponential equations as logarithms and evaluate with technology.
HSF-LE.B.5High schoolInterpret parameters in a linear or exponential function in context.
HSF-TF.A.1High schoolUnderstand radian measure as arc length on the unit circle.
HSF-TF.A.2High schoolExtend sine and cosine to all real numbers using the unit circle.
HSF-TF.A.3High schoolUse special triangles to find sine, cosine, and tangent for π/3, π/4, and π/6, and extend them to related angles.
HSF-TF.B.5High schoolChoose trigonometric functions to model periodic phenomena.
HSF-TF.B.7High schoolUse inverse functions to solve trigonometric equations that arise in modeling, and interpret the solutions.
HSF-TF.C.8High schoolProve and use sin²θ + cos²θ = 1.
Geometry (HS)
HSG-C.A.2High schoolIdentify relationships among inscribed angles, radii, and chords.
HSG-C.A.3High schoolProve properties of the angles of a quadrilateral inscribed in a circle.
HSG-C.B.5High schoolDerive the formulas for arc length and sector area using radian measure.
HSG-CO.A.1High schoolKnow precise definitions of angle, circle, perpendicular, parallel, and segment.
HSG-CO.A.2High schoolRepresent transformations in the plane and describe them as functions on points.
HSG-CO.A.5High schoolDraw the image of a figure under a rotation, reflection, or translation.
HSG-CO.B.6High schoolUse rigid motions to decide whether two figures are congruent.
HSG-CO.B.7High schoolShow two triangles are congruent exactly when all corresponding sides and angles are congruent.
HSG-CO.B.8High schoolExplain how ASA, SAS, and SSS follow from congruence by rigid motions.
HSG-CO.C.9High schoolProve theorems about lines and angles, including parallel-line pairs.
HSG-CO.C.10High schoolProve theorems about triangles: angle sum, isosceles base angles, and midsegments.
HSG-CO.C.11High schoolProve theorems about parallelograms: opposite sides, opposite angles, and diagonals.
HSG-CO.D.12High schoolMake formal constructions with compass and straightedge, such as bisecting an angle.
HSG-GMD.A.1High schoolGive informal arguments for circle, cylinder, pyramid, and cone formulas, including Cavalieri’s principle.
HSG-GMD.A.3High schoolUse volume formulas for cylinders, pyramids, cones, and spheres.
HSG-GMD.B.4High schoolIdentify cross-sections of three-dimensional objects and solids generated by rotating plane figures.
HSG-GPE.A.1High schoolDerive the equation of a circle given center and radius.
HSG-GPE.B.4High schoolUse coordinates to prove simple geometric theorems algebraically.
HSG-GPE.B.5High schoolProve slope criteria for parallel and perpendicular lines and use them.
HSG-GPE.B.6High schoolFind the point on a segment that partitions it in a given ratio.
HSG-GPE.B.7High schoolUse coordinates to compute perimeters and areas of polygons.
HSG-MG.A.1High schoolUse geometric shapes and measures to model real objects.
HSG-MG.A.2High schoolApply density concepts based on area and volume in modeling situations.
HSG-SRT.A.1High schoolVerify the properties of dilations: lines map to parallel lines and lengths scale by the factor.
HSG-SRT.A.2High schoolUse similarity transformations to decide whether two figures are similar.
HSG-SRT.C.6High schoolUnderstand trigonometric ratios as properties of acute angles in right triangles.
HSG-SRT.C.7High schoolExplain and use the relationship between the sine and cosine of complementary angles.
HSG-SRT.C.8High schoolUse trigonometric ratios and the Pythagorean Theorem to solve right triangles.
Statistics & Probability (HS)
HSS-CP.A.2High schoolUnderstand independence as P(A and B) = P(A)P(B).
HSS-CP.A.3High schoolInterpret conditional probability P(A|B) = P(A and B)/P(B).
HSS-CP.A.4High schoolUse two-way frequency tables to decide independence and approximate conditional probabilities.
HSS-CP.A.5High schoolRecognize and explain conditional probability and independence in everyday situations.
HSS-CP.B.7High schoolApply the Addition Rule P(A or B) = P(A) + P(B) − P(A and B).
HSS-IC.A.1High schoolUnderstand statistics as making inferences about a population from a random sample.
HSS-IC.B.3High schoolRecognize purposes of surveys, experiments, and observational studies.
HSS-IC.B.4High schoolUse a sample survey to estimate a population proportion, with a margin of error from simulation.
HSS-ID.A.1High schoolRepresent data with dot plots, histograms, and box plots.
HSS-ID.A.2High schoolCompare center and spread of data sets using statistics that fit the shape.
HSS-ID.A.3High schoolInterpret differences in shape, center, and spread, including outliers.
HSS-ID.A.4High schoolUse the mean and standard deviation of a normal distribution to estimate population percentages.
HSS-ID.B.6High schoolRepresent two quantitative variables on a scatter plot and describe the relationship.
HSS-ID.C.7High schoolInterpret slope and intercept of a linear model in the context of the data.
HSS-ID.C.8High schoolCompute and interpret the correlation coefficient of a linear fit.
HSS-ID.C.9High schoolDistinguish between correlation and causation.
Inquiry standards for history and civics.
History
D2.His.1.6-8Grades 6–8Analyze connections among events and developments in broader historical contexts.
D2.His.1.9-12Grades 9–12Evaluate how historical events and developments were shaped by unique circumstances of time and place.
D2.His.2.6-8Grades 6–8Classify historical events and developments as change and/or continuity.
D2.His.3.6-8Grades 6–8Analyze why particular individuals, groups, and events are historically significant.
D2.His.4.6-8Grades 6–8Analyze the factors that influenced the perspectives of people in different eras.
D2.His.4.9-12Grades 9–12Analyze complex and interacting factors that influenced people’s perspectives.
D2.His.14.6-8Grades 6–8Explain multiple causes and effects of events and developments in the past.
D2.His.14.9-12Grades 9–12Analyze multiple and complex causes and effects of events in the past.
D2.His.16.6-8Grades 6–8Organize applicable evidence into a coherent argument about the past.
Civics
D2.Civ.1.6-8Grades 6–8Distinguish the roles of citizens, political parties, interest groups, and the media.
D2.Civ.3.6-8Grades 6–8Examine the origins, purposes, and impact of constitutions, laws, and treaties.
D2.Civ.4.6-8Grades 6–8Explain the powers and limits of the three branches of government.
D2.Civ.4.9-12Grades 9–12Explain how the U.S. Constitution establishes and limits the powers of government.
D2.Civ.5.6-8Grades 6–8Explain the structure of government with reference to the U.S. Constitution.
D2.Civ.8.6-8Grades 6–8Analyze principles in the founding documents and how they shape society and politics.
D2.Civ.8.9-12Grades 9–12Evaluate social and political systems using the principles of the founding documents.
Reading and language standards.
Reading: Literature
RL.8.2Grade 8Determine a theme or central idea of a literary text and analyze how it develops.
RL.8.4Grade 8Determine the meaning of words and phrases, including figurative meanings, in a literary text.
RL.8.6Grade 8Analyze how differences in the points of view of characters and reader create effect.
Reading: Informational Text
RI.8.5Grade 8Analyze the structure of a paragraph, including the role of particular sentences.
Language
L.6.1Grade 6Demonstrate command of the conventions of standard English grammar and usage (pronoun case, intensive and vague pronouns, sentence variety).
L.7.1Grade 7Demonstrate command of the conventions of standard English grammar and usage.
L.7.2Grade 7Demonstrate command of the conventions of capitalization, punctuation, and spelling (grade 7).
L.7.5Grade 7Demonstrate understanding of figurative language, word relationships, and nuances in word meanings (grade 7).
L.8.1Grade 8Use grammar including verbals, active and passive voice, and mood.
L.8.2Grade 8Demonstrate command of capitalization, punctuation, and spelling.
L.8.3Grade 8Use verbs in the active and passive voice and in different moods to achieve particular effects.
L.8.4Grade 8Determine the meaning of unknown words using context, roots, and affixes.
L.8.5Grade 8Demonstrate understanding of figurative language, word relationships, and nuances in word meanings.
L.8.6Grade 8Acquire and use grade-appropriate academic and domain-specific words.
Digital-safety topics teach online-citizenship habits that map to frameworks like ISTE rather than academic content standards, so they are not listed here yet.
Math word-problem types and properties of operations, equality, and inequality: Math glossary & tables.
Parents: read-only progress at For parents.