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 
All categories 
PRIORITIZED 

MAT04.G.02
4^{th} Grade (MAT) Targeted Standard
MAT04.G.02 Classify twodimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of specified size. Recognize right triangles as a category, and identify right triangles.  
MAT04.MD
Narrative for the (MD) Measurement and DataIn Grade 4, students build on competencies in measurement and in building and relating units and units of units that they have developed in number, geometry, and geometric measurement. Fourth graders learn the relative sizes of measurement units within a system of measurement4.MD.1 including: length: meter (m), kilometer (km), centimeter (cm), millimeter (mm); volume: liter (l), milliliter (ml, 1 cubic centimeter of water; a liter, then, is 1000 ml); mass: gram (g, about the weight of a cc of water), kilogram (kg); time: hour (hr), minute (min), second (sec). Students learn to consider perimeter and area of rectangles, begun in Grade 3, more abstractly. Based on work in previous grades with multiplication, spatially structuring arrays, and area, they abstract the formula for the area of a rectangle.Students learn to apply these understandings and formulas to the solution of realworld and mathematical problems. Students can use these skills to solve problems, including problems that arise from analyzing line plots. For example, with reference to the line plot above, students might find the difference between the greatest and least values in the data. 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.MD.06  
MAT04.NBT
Narrative for the (NBT) Number and Operation in Base TenAt Grade 4, students extend their work in the baseten system. They use standard algorithms to fluently add and subtract. They use methods based on place value and properties of operations supported by suitable representations to multiply and divide with multidigit numbers. Visual representations such as area and array diagrams that students draw and connect to equations and other written numerical work are useful for this purpose. By reasoning repeatedly about the connection between math drawings and written numerical work, students can come to see multiplication and division algorithms as abbreviations or summaries of their reasoning about quantities. Building on earlier work, students generalize place value understanding for multidigit whole numbers to read, write, and compare whole numerals between 1,000 and 1,000,000. They also extend understanding of place value to include decimals to hundredths and fractional quantities 1/10 and 1/100. 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.NBT.02
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.02 Read and write multidigit whole numbers to the one millions place using baseten numerals, word form, and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.  
MAT04.NBT.04
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.04 Fluently add and subtract multidigit whole numbers to the one millions place using strategies flexibly, including the standard algorithm.  
MAT04.NBT.05
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.05 Using strategies based on place value and the properties of operations, multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers.
 
MAT04.NBT.06
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.06 Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit 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.  
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.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.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.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.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.  
(G) GEOMETRY 

MAT04.G
Narrative for the (G) GeometryGrade 4 students describe, analyze, compare, and classify twodimensional shapes by their properties, including explicit use of angle sizes and the related geometric properties of perpendicularity and parallelism. By the end of Grade 4, students develop explicit awareness of and vocabulary for many concepts they have been developing, including points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Such mathematical terms are useful in communicating geometric ideas, but more important is that constructing examples of these concepts, such as drawing angles and triangles that are acute, obtuse, and right, help students form richer concept images connected to verbal definitions. 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.G.01Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.G.02
4^{th} Grade (MAT) Targeted Standard
MAT04.G.02 Classify twodimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of specified size. Recognize right triangles as a category, and identify right triangles.  
MAT04.G.03Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
(MD) MEASUREMENT AND DATA 

MAT04.MD
Narrative for the (MD) Measurement and DataIn Grade 4, students build on competencies in measurement and in building and relating units and units of units that they have developed in number, geometry, and geometric measurement. Fourth graders learn the relative sizes of measurement units within a system of measurement4.MD.1 including: length: meter (m), kilometer (km), centimeter (cm), millimeter (mm); volume: liter (l), milliliter (ml, 1 cubic centimeter of water; a liter, then, is 1000 ml); mass: gram (g, about the weight of a cc of water), kilogram (kg); time: hour (hr), minute (min), second (sec). Students learn to consider perimeter and area of rectangles, begun in Grade 3, more abstractly. Based on work in previous grades with multiplication, spatially structuring arrays, and area, they abstract the formula for the area of a rectangle.Students learn to apply these understandings and formulas to the solution of realworld and mathematical problems. Students can use these skills to solve problems, including problems that arise from analyzing line plots. For example, with reference to the line plot above, students might find the difference between the greatest and least values in the data. 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.MD.01Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.02Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.03Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.04Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.05Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.05.aUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.05.bUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.MD.06  
MAT04.MD.07Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
(NBT) NUMBER AND OPERATIONS IN BASE TEN 

MAT04.NBT
Narrative for the (NBT) Number and Operation in Base TenAt Grade 4, students extend their work in the baseten system. They use standard algorithms to fluently add and subtract. They use methods based on place value and properties of operations supported by suitable representations to multiply and divide with multidigit numbers. Visual representations such as area and array diagrams that students draw and connect to equations and other written numerical work are useful for this purpose. By reasoning repeatedly about the connection between math drawings and written numerical work, students can come to see multiplication and division algorithms as abbreviations or summaries of their reasoning about quantities. Building on earlier work, students generalize place value understanding for multidigit whole numbers to read, write, and compare whole numerals between 1,000 and 1,000,000. They also extend understanding of place value to include decimals to hundredths and fractional quantities 1/10 and 1/100. 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.NBT.01Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NBT.02
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.02 Read and write multidigit whole numbers to the one millions place using baseten numerals, word form, and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.  
MAT04.NBT.03Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NBT.04
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.04 Fluently add and subtract multidigit whole numbers to the one millions place using strategies flexibly, including the standard algorithm.  
MAT04.NBT.05
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.05 Using strategies based on place value and the properties of operations, multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers.
 
MAT04.NBT.06
4^{th} Grade (MAT) Targeted Standard
MAT04.NBT.06 Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit 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.  
(NF) NUMBER AND OPERATIONS  FRACTIONS 

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
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
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
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.03.bUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.03.cUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.03.dUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
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
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.04.bUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.04.cUnder Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.05Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.NF.06Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
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.  
(OA) OPERATIONS AND ALGEBRAIC THINKING 

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
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.OA.02Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
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.  
MAT04.OA.04Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 
MAT04.OA.05Under Development
Student Learning Targets:Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
Proficiency (Rubric) Scale
ResourcesWebsites
Vocabulary
 