MAT-05.NBT.04Under Development
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MAT-05.NBT.05 |
MAT-05.NF
Narrative for (NF) Number and Operations - FractionsIn Grade 4, students have some experience calculating sums of fractions with different denominators. They understand the process as expressing both quantities in terms of the same unit fraction so that they can be added. Grade 5 students extend this reasoning to situations where it is necessary to re-express both fractions in terms of a new denominator. Students make sense of fractional quantities when solving word problems, estimating answers mentally to see if they make sense. Grade 4 students connected fractions with addition and multiplication. In Grade 5, students connect fractions with division, understanding a fraction as division of the numerator by the denominator. Using the relationship between division and multiplication, students start working with simple fraction division problems. They solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Grade 5 work with multiplying by unit fractions, and interpreting fractions in terms of division, enables students to see that multiplying a quantity by a number smaller than 1 produces a smaller quantity. This work - interpreting multiplication as scaling (resizing), prepares students for Grade 6 work in ratios and proportional reasoning. 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. | |
MAT-05.NF.03Under Development
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MAT-05.NF.04Under Development
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MAT-05.NF.04.aUnder Development
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MAT-05.NF.04.bUnder Development
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MAT-05.NF.05Under Development
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MAT-05.NF.05.aUnder Development
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MAT-05.NF.05.bUnder Development
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MAT-05.NF.07.aUnder Development
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MAT-05.NF.07.bUnder Development
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MAT-05.NF.07.cUnder Development
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MAT-05.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. As preparation for the Expressions and Equations domain in the middle grades, students in Grade 5 begin working more formally with expressions. They write expressions to express a calculation, e.g., writing 2 x (8+7) to express the calculation “add 8 and 7, then multiply by 2.” They also evaluate and interpret expressions, e.g., using their conceptual understanding of multiplication to interpret 3 x (18932+921) as being three times as large as 18932+921, without having to calculate the indicated sum or product. Students in Grade 5 begin to think about numerical expressions in ways that prepare their later work with variable expressions (e.g., three times an unknown length is 3 x L). Students extend their Grade 4 pattern work by working briefly with two numerical patterns that can be related and examining these relationships within sequences of ordered pairs and in graphs. This work prepares students for studying proportional relationships and functions in middle school. 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. | |