Common Core math standards. Ready to practice.

Browse 97 Common Core math standards with real questions, worked explanations, related skills, tests, and games.

97 standards186 mapped skills

Kindergarten

K.CC.A.1Count to 100 by ones and by tens.8 QsPractice →K.G.B.4Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts and other attributes.8 QsPractice →

Grade 1

1.OA.C.6Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.8 QsPractice →

Grade 2

2.NBT.A.1Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.8 QsPractice →2.NBT.A.2Count within 1000; skip-count by 5s, 10s, and 100s.8 QsPractice →2.OA.C.3Determine whether a group of objects (up to 20) has an odd or even number of members.8 QsPractice →

Grade 3

3.MD.B.3Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories.8 QsPractice →3.MD.C.7Relate area to the operations of multiplication and addition.8 QsPractice →3.MD.D.8Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths.8 QsPractice →3.NBT.A.1Use place value understanding to round whole numbers to the nearest 10 or 100.8 QsPractice →3.NBT.A.2Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.8 QsPractice →3.OA.B.5Apply properties of operations as strategies to multiply and divide.8 QsPractice →3.OA.C.7Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division.8 QsPractice →

Grade 4

4.MD.A.1Know relative sizes of measurement units within one system of units, and express measurements in a larger unit in terms of a smaller unit.8 QsPractice →4.MD.A.3Apply the area and perimeter formulas for rectangles in real world and mathematical problems.8 QsPractice →4.MD.B.4Make a line plot to display a data set of measurements in fractions of a unit, and solve problems involving the data.8 QsPractice →4.MD.C.5Recognize angles as geometric shapes formed wherever two rays share a common endpoint, and understand concepts of angle measurement.8 QsPractice →4.NF.A.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b), and use this principle to recognize and generate equivalent fractions.8 QsPractice →4.OA.B.4Find all factor pairs for a whole number in the range 1–100, and recognize whether a number is prime or composite.8 QsPractice →

Grade 5

5.G.A.1Use a pair of perpendicular number lines, called axes, to define a coordinate system, and graph points in the plane.8 QsPractice →5.MD.B.2Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8), and use operations on fractions to solve problems involving the data.8 QsPractice →5.MD.C.5Relate volume to the operations of multiplication and addition, and solve real world and mathematical problems involving volume.8 QsPractice →5.NBT.A.2Explain patterns in the number of zeros of the product when multiplying by powers of 10, and in the placement of the decimal point.8 QsPractice →5.NBT.B.5Fluently multiply multi-digit whole numbers using the standard algorithm.8 QsPractice →5.NBT.B.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.8 QsPractice →5.NF.A.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with like denominators.8 QsPractice →

Grade 6

6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents.8 QsPractice →6.G.A.1Find the area of triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.8 QsPractice →6.NS.A.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.8 QsPractice →6.NS.B.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.8 QsPractice →6.NS.C.7Understand ordering and absolute value of rational numbers.8 QsPractice →6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems.8 QsPractice →6.RP.A.3.CFind a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.8 QsPractice →6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.7 QsPractice →6.SP.B.5Summarize numerical data sets in relation to their context, reporting measures of center and variability.8 QsPractice →

Grade 7

7.EE.B.4Use variables to represent quantities, and construct simple equations and inequalities to solve problems by reasoning about the quantities.8 QsPractice →7.G.B.4Know the formulas for the area and circumference of a circle and use them to solve problems.8 QsPractice →7.G.B.5Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.8 QsPractice →7.G.B.6Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects.8 QsPractice →7.NS.A.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.8 QsPractice →7.RP.A.2Recognize and represent proportional relationships between quantities.8 QsPractice →7.RP.A.3Use proportional relationships to solve multistep ratio and percent problems.8 QsPractice →7.SP.A.2Use data from a random sample to draw inferences about a population with an unknown characteristic of interest.8 QsPractice →7.SP.C.5Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.8 QsPractice →7.SP.C.7Develop a probability model and use it to find probabilities of events.8 QsPractice →7.SP.C.8Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.8 QsPractice →

Grade 8

8.EE.A.1Know and apply the properties of integer exponents to generate equivalent numerical expressions.8 QsPractice →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.8 QsPractice →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.8 QsPractice →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.8 QsPractice →8.G.A.5Use informal arguments to establish facts about the angle sum and exterior angle of triangles, and about the angles created when parallel lines are cut by a transversal.8 QsPractice →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.8 QsPractice →8.G.B.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.8 QsPractice →8.G.C.9Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.8 QsPractice →8.NS.A.2Use rational approximations of irrational numbers to compare their size and locate them approximately on a number line diagram.8 QsPractice →8.SP.A.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.8 QsPractice →8.SP.A.4Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.8 QsPractice →

High school

HSA.APR.A.1Understand that polynomials form a system analogous to the integers: they are closed under addition, subtraction, and multiplication; add, subtract, and multiply polynomials.8 QsPractice →HSA.APR.C.5Know and apply the Binomial Theorem for the expansion of (x + y)ⁿ in powers of x and y for a positive integer n.8 QsPractice →HSA.CED.A.1Create equations and inequalities in one variable and use them to solve problems.8 QsPractice →HSA.CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.8 QsPractice →HSA.CED.A.3Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.8 QsPractice →HSA.CED.A.4Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.8 QsPractice →HSA.REI.A.2Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.8 QsPractice →HSA.REI.B.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.8 QsPractice →HSA.REI.B.4Solve quadratic equations in one variable.8 QsPractice →HSA.REI.C.6Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables.8 QsPractice →HSA.REI.D.12Graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities as the intersection of half-planes.8 QsPractice →HSA.SSE.A.2Use the structure of an expression to identify ways to rewrite it.8 QsPractice →HSF.BF.A.2Write arithmetic and geometric sequences both recursively and with an explicit formula, and use them to model situations.8 QsPractice →HSF.BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k·f(x), f(kx), and f(x + k) for specific values of k.8 QsPractice →HSF.BF.B.5Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.8 QsPractice →HSF.IF.A.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.8 QsPractice →HSF.IF.B.4For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities.8 QsPractice →HSF.IF.C.7Graph functions expressed symbolically and show key features of the graph.8 QsPractice →HSF.LE.A.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.8 QsPractice →HSF.TF.A.1Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.8 QsPractice →HSF.TF.A.2Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers.8 QsPractice →HSF.TF.B.6Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.8 QsPractice →HSF.TF.C.8Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given one of them and the quadrant of the angle.8 QsPractice →HSG.C.B.5Derive the fact that the length of the arc intercepted by an angle is proportional to the radius, and derive the formula for the area of a sector.8 QsPractice →HSG.GMD.A.3Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.8 QsPractice →HSG.GPE.A.1Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.8 QsPractice →HSG.GPE.A.3Derive the equations of ellipses and hyperbolas given the foci.8 QsPractice →HSG.GPE.B.6Find the point on a directed line segment between two given points that partitions the segment in a given ratio.8 QsPractice →HSG.SRT.C.6Understand that side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.8 QsPractice →HSG.SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.8 QsPractice →HSG.SRT.D.10Prove the Laws of Sines and Cosines and use them to solve problems.8 QsPractice →HSN.CN.A.1Know there is a complex number i such that i² = −1, and every complex number has the form a + bi with a and b real.8 QsPractice →HSN.CN.A.2Use the relation i² = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.8 QsPractice →HSN.RN.A.1Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values.8 QsPractice →HSN.RN.A.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.8 QsPractice →HSS.CP.A.3Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B.8 QsPractice →HSS.IC.B.4Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.8 QsPractice →HSS.ID.A.1Represent data with plots on the real number line (dot plots, histograms, and box plots).8 QsPractice →HSS.ID.A.2Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.8 QsPractice →HSS.ID.A.4Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.8 QsPractice →

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