Mathematics

Domain - Number and Operations in Base Ten, Grade 4

Generalize place value understanding for multi-digit whole numbers.

Math.4.NBT.A.3: Use place value understanding to round multi-digit whole numbers to any place.

Use place value understanding and properties of operations to perform multi-digit arithmetic.

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

Domain - Number and Operations-Fractions, Grade 4

Extend understanding of fraction equivalence and ordering.

Math.4.NF.A.1: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Extend understanding of fraction equivalence and ordering.

Math.4.NF.A.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Math.4.NF.B.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Math.4.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.² For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.7: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Common Core State Standards and Expectations© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.