Examples for

Common Core Math

The Common Core State Standards (CCSS) for Mathematics outline mathematical content to be taught in the United States from kindergarten through high school. The standards were released in 2010 by a state-led coalition of educators and content experts and have since been adopted by 41 states, the District of Columbia, Guam, the Northern Mariana Islands and the US Virgin Islands. The CCSS are a comprehensive list of topics that gradually build on each other across grade levels. In particular, the mathematics standards emphasize conceptual understanding and include a focus on real-world applications in addition to mathematical procedures. Broadly, the standards serve as a framework for educators in their goal of providing all students in the United States with rigorous mathematics instruction. The examples compiled in the Common Core math example pages, organized both by grade level and content area, provide a sample of how Wolfram|Alpha can support K–12 math students and teachers. Wolfram|Alpha provides tools for mathematical computation that both affirm previous education models and incorporate the integrated, rigorous approach of the CCSS.

Kindergarten

Get information about kindergarten math Common Core Standards, which cover counting and categorizing objects.

Count between any two numbers (CCSS.Math.Content.K.CC.A.2):

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Explore problems that demonstrate second grade math Common Core Standards, such as solving equations and partitioning shapes.

Solve addition and subtraction equations (CCSS.Math.Content.2.OA.A.1):

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See examples aligned to fifth grade math Common Core Standards, such as plotting points and evaluating expressions.

Evaluate expressions with parentheses (CCSS.Math.Content.5.OA.A.1):

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Get information about eighth grade math Common Core Standards, which cover exponents and irrational numbers.

Use exponent laws to simplify expressions (CCSS.Math.Content.8.EE.A.1):

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Counting & Cardinality

Explore problems that demonstrate the Counting & Cardinality Common Core Standards, such as counting groups of up to 20 objects.

Compare two numbers (CCSS.Math.Content.K.CC.C.7):

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Functions

See examples aligned to the Functions Common Core Standards for eighth grade, in which students identify and analyze linear functions.

Recognize and interpret equations of linear functions (CCSS.Math.Content.8.F.B.4):

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Numbers in Base Ten

See examples aligned to the Number & Operations in Base Ten Common Core Standards, in which students build an understanding of place value.

Describe place values of a number (CCSS.Math.Content.2.NBT.A.1):

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Statistics & Probability

See examples aligned to the Statistics & Probability Common Core Standards, in which students analyze and display data.

Generate plots to display data (CCSS.Math.Content.6.SP.B.4):

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High School Geometry

Discover content covered in the High School Geometry Common Core Standards, including defining geometric objects algebraically and proving geometric theorems.

Find equations for ellipses and hyperbolas (CCSS.Math.Content.HSG-GPE.A.3):

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See examples aligned to first grade math Common Core Standards, including adding and subtracting whole numbers and measuring lengths.

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Discover content covered in third grade math Common Core Standards, including multiplication and fractions.

Compare the magnitudes of fractions (CCSS.Math.Content.3.NF.A.3d):

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Explore problems that demonstrate sixth grade math Common Core Standards, which cover data analysis and solving algebraic equations.

Calculate measures of center (CCSS.Math.Content.6.SP.B.5c):

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High School

Explore content covered in high school math Common Core Standards, including functions, statistics and trigonometry.

Write and solve a system of equations (CCSS.Math.Content.HSA-CED.A.3):

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Expressions & Equations

Discover content covered in the Expressions & Equations Common Core Standards, including simplifying and solving equations and inequalities.

Simplify expressions (CCSS.Math.Content.7.EE.A.1):

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Geometry

Explore problems that demonstrate the Geometry Common Core Standards, in which students define shapes and their geometric properties.

Find the volume of a rectangular prism (CCSS.Math.Content.6.G.A.2):

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Number System

Explore problems that demonstrate the Number System Common Core Standards, such as performing operations with rational numbers and plotting ordered pairs.

Calculate the greatest common factor (CCSS.Math.Content.6.NS.B.4):

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High School Algebra

Explore problems that demonstrate the High School Algebra Common Core Standards, such as solving equations and factoring polynomials.

Multiply polynomials (CCSS.Math.Content.HSA-APR.A.1):

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High School Number & Quantity

Get information about the High School Number & Quantity Common Core Standards, including computing with exponents, vectors and complex numbers.

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RELATED EXAMPLES

• Algebra
• Elementary Math
• Geometry
• Numbers
• Statistics
• Units & Measures

Get information about fourth grade math Common Core Standards, which cover angle measurements and all four arithmetic operations.

Find all divisors of a number (CCSS.Math.Content.4.OA.B.4):

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Discover content covered in seventh grade math Common Core Standards, including ratios, percentages and probability.

Determine the unit rate associated with a ratio (CCSS.Math.Content.7.RP.A.1):

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Algebraic Thinking

See examples aligned to the Operations & Algebraic Thinking Common Core Standards, designed to help students explore the four arithmetic operations.

Solve equations with multiple operations (CCSS.Math.Content.3.OA.D.8):

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Fractions

Get information about the Number & Operations—Fractions Common Core Standards, which cover performing arithmetic operations with fractions and representing fractions visually.

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Measurement & Data

Discover content covered in the Measurement & Data Common Core Standards, including measuring objects and converting between units of measure.

Convert between units of measurement (CCSS.Math.Content.4.MD.A.1):

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Ratios & Proportions

Get information about the Ratios & Proportions Common Core Standards, including computations with percentages and unit rates.

Determine prices and tips using percentages (CCSS.Math.Content.7.RP.A.3):

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High School Functions

See examples aligned to the High School Functions Common Core Standards, in which students describe and analyze function behavior.

Determine the domain and range of a function (CCSS.Math.Content.HSF-IF.A.1):

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High School Statistics & Probability

Explore problems that demonstrate the High School Statistics & Probability Common Core Standards, such as describing datasets and computing probabilities.

Compute conditional probabilities (CCSS.Math.Content.HSS-CP.A.3):

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