Examples for

Common Core Math: Algebraic Thinking

From kindergarten to fifth grade, students develop an understanding of the four arithmetic operations—addition, subtraction, multiplication and division. Students learn to perform these operations on whole numbers, then build on this knowledge to begin working with variables representing unknowns. Students simplify expressions and solve algebraic equations using mathematical notation (+, –, ×, ÷ and =). By fifth grade, students perform multiple operations in a single problem and use arithmetic to discover and describe numerical patterns.

Kindergarten

Perform addition and subtraction up to 10.

Add and subtract whole numbers (CCSS.Math.Content.K.OA.A.5):

Add to 10 (CCSS.Math.Content.K.OA.A.4):

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Grade 2

Perform addition and subtraction up to 100 and conceptualize multiplication.

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

Use repeated addition to count groups of objects (CCSS.Math.Content.2.OA.C.4):

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Grade 5

Perform arithmetic and evaluate expressions with multiple operations.

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

Represent calculations with expressions (CCSS.Math.Content.5.OA.A.2):

Get information about a numerical pattern (CCSS.Math.Content.5.OA.B.3):

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Grade 1

Perform addition and subtraction up to 20.

Add and subtract whole numbers (CCSS.Math.Content.1.OA.C.6):

Solve addition and subtraction equations (CCSS.Math.Content.1.OA.D.8):

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Grade 3

Perform addition, subtraction, multiplication and division up to 100.

Solve multiplication or division equations (CCSS.Math.Content.3.OA.A.4):

Apply operations in the correct order (CCSS.Math.Content.3.OA.D.8):

Explore arithmetic patterns (CCSS.Math.Content.3.OA.D.9):

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GO FURTHER

Step-by-Step Solutions for Arithmetic

Pre-Algebra Web App

Free Unlimited Arithmetic Practice Problems

RELATED EXAMPLES

  • Common Core Math: Expressions & Equations
  • Common Core Math: Fractions
  • Common Core Math: Geometry
  • Common Core Math: High School Algebra
  • Common Core Math: Measurement & Data
  • Common Core Math: Numbers in Base Ten
  • Elementary Math
  • Grade 4

    Perform arithmetic and find factors and multiples of whole numbers.

    Solve multistep equations (CCSS.Math.Content.4.OA.A.3):

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

    Determine if a number is a multiple of a given digit (CCSS.Math.Content.4.OA.B.4):

    Extend a numerical pattern (CCSS.Math.Content.4.OA.C.5):

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