Standards Map

Mathematics > Grade 4 > Number and Operations in Base Ten
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Mathematics | Grade : 4

Domain - Number and Operations in Base Ten

Cluster - Use place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers less than or equal to 1,000,000.

[4.NBT.B.4] - Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Resources:


  • Fluency
    Fluency in the grades 1–6 standards is the ability to carry out calculations and apply numerical algorithms quickly and accurately. Fluency in each grade involves a mixture of knowing some answers from memory (instant recall), knowing some answers from patterns (e.g., “adding 0 yields the same number”), and knowing some answers from the use of other strategies. The development of fluency follows a specific progression in these grades that begins with conceptual understanding and eventually requires students to “know from memory their math facts,” use various strategies to arrive at answers, and develop proficiency using the standard algorithm for each operation. (See standards 1.OA.B.3, 2.OA.B.2, 3.OA.B.5, 3.OA.C.7 and 3.NBT.A.2, 4.NBT.B.4, 5.NBT.B.5, 6.NS.B.2 and 6.NS.B.3.)
  • Standard algorithm
    One of the conventional algorithms used in the United States based on place value and properties of operations for addition, subtraction, multiplication, and division. (See standards 4.NBT.B.4, 5.NBT.B.5, and 6.NS.B.2).
  • Standard Algorithms for Addition and Subtraction
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Predecessor Standards:

  • 3.NBT.A.2
    Fluently add and subtract within 1,000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. [Note: A range of algorithms may be used.]

Successor Standards:

  • 5.NBT.B.5
    Fluently multiply multi-digit whole numbers. (Include two-digit x four-digit numbers and, three-digit x three-digit numbers) using the standard algorithm.
  • 5.NBT.B.6
    Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
  • 5.NBT.B.7
    Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction and between multiplication and division; relate the strategy to a written method and explain the reasoning used.

Same Level Standards:

  • 4.NBT.A.1
    Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.