Fourth Grade Math
Standards
Book 
MAT04 "I can ... statements" 

(OA)  (NBT)  (NF)  (MD)  (G)  
Operations Algebraic Thinking 
Number Operations Base Ten 
Number Operations Fraction 
Measurement Data 
Geometry 

Prioritized Standards  
Kindergarten Math  First Grade Math  Second Grade Math 
M 

MAT04.NF
Narrative for (NF) Number and Operations  FractionsGrade 4 students learn a fundamental property of equivalent fractions: multiplying the numerator and denominator of a fraction by the same nonzero whole number results in a fraction that represents the same number as the original fraction. This property forms the basis for much of their other work in Grade 4, including the comparison, addition, and subtraction of fractions and the introduction of decimals. Grade 4 students use their understanding of equivalent fractions to compare fractions with different numerators and different denominators. Students use area models and number line diagrams to reason about equivalence. Students also compare decimals using the meaning of a decimal as a fraction, making sure to compare fractions with the same denominator. For example, to compare 0.2 and 0.09, students think of them as 0.20 and 0:09 and see that 0.20>0.09 because 20/100 > 9/100. Using the understanding gained from work with whole numbers of the relationship between addition and subtraction, students add and subtract fractions with the same denominator. Students also compute sums of whole numbers and fractions, by representing the whole number as an equivalent fraction with the same denominator as the fraction. Grade 4 students also solve word problems involving multiplication of a fraction by a whole number. Calculation Method for DomainsDomains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.  
MAT04.NF.01Under Development
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MAT04.NF.02
4^{th} Grade (MAT) Targeted Standard
MAT04.NF.02 By creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2 , compare two fractions with different numerators and different denominators.
 
MAT04.NF.03
4^{th} Grade (MAT) Targeted Standard
MAT04.NF.03 Understand a fraction a/b with a > 1 as a sum of unit fractions 1/b.
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition with an equation. Justify decompositions by using a visual fraction model or other strategies. c. Add and subtract mixed numbers with likedenominators. d. Using visual fraction models and equations, solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.  
MAT04.NF.03.aUnder Development
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MAT04.NF.03.bUnder Development
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MAT04.NF.03.cUnder Development
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MAT04.NF.03.dUnder Development
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MAT04.NF.04
4^{th} Grade (MAT) Targeted Standard
MAT04.NF.04 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
a. Understand a fraction a/b as a multiple of 1/b.
b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. c. Using visual fraction models and equations, solve word problems involving multiplication of a fraction by a whole number.  
MAT04.NF.04.aUnder Development
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MAT04.NF.04.bUnder Development
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MAT04.NF.04.cUnder Development
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MAT04.NF.05Under Development
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MAT04.NF.06Under Development
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MAT04.NF.07
4^{th} Grade (MAT) Targeted Standard
MAT04.NF.07 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.  
MAT04.OA
Narrative for the (OA) Operations and Algebraic ThinkingAlgebraic thinking is about generalizing arithmetic operations and operating on unknown quantities. It involves recognizing and analyzing patterns and developing generalizations about these patterns. In algebra, symbols can be used to represent generalizations. Operations and Algebraic Thinking deals with the basic operations  addition, subtraction, multiplication, and division  the relationships they model, the kinds of problems they can be used to solve, as well as, their mathematical properties and relationships. Fourth graders extend problem solving to multistep word problems using the four operations posed with whole numbers. Some problems might easily be represented with a single equation, and others will be more sensibly represented by more than one equation or a diagram and one or more equations. Consider two diving boards, one 40 feet high, the other 8 feet high. Students in earlier grades learned to compare these heights in an additive sense—“This one is 32 feet higher than that one”—using addition and subtraction to solve word problems. Students in Grade 4 learn to compare these quantities multiplicatively as well: “This one is 5 times as high as that one.” Students reason about number or shape patterns, connecting a rule for a given pattern with its sequence of numbers or shapes. In examining numerical sequences and patterns, fourth graders can explore rules of repeatedly adding the same whole number or repeatedly multiplying by the same whole number. Fourth graders also build upon earlier understandings about multiplication and division. Students examine various patterns in factor pairs by finding factor pairs for all numbers 1 to 100, and extend the idea of decomposition to multiplication and learn to use the terms multiple, prime number, composite number. Calculation Method for DomainsDomains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.  
MAT04.OA.01Under Development
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MAT04.OA.02Under Development
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MAT04.OA.03
4^{th} Grade (MAT) Targeted Standard
MAT04.OA.03 Solve multistep word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity (variable). Assess the reasonableness of answers using mental computation and estimation strategies including rounding.  