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5th Grade Math Common Core Standards

The Common Core State Standards for Grade 5 math can be divided into various domains, each with specific standards and related deliverables. Here’s a table outlining these domains, standards, and deliverables:

Operations and Algebraic ThinkingWrite and interpret numerical expressions– Use parentheses, brackets, or braces in numerical expressions.
– Write simple expressions that record calculations with numbers, and interpret numerical expressions
Analyze patterns and relationships.– Generate two numerical patterns using two given rules
Number and Operations in Base TenUnderstand the place value system.– Recognize that in a multi-digit whole number
– Explain patterns in the number of zeros of the product when multiplying a number by powers of 10
– Read, write, and compare decimals to thousandths
– Use place value understanding to round decimals to any place
Perform operations with multi-digit whole numbers and with decimals to hundredths.– Fluently multiply multi-digit whole numbers using the standard algorithm.
– Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors,
– Add, subtract, multiply, and divide decimals to hundredth
Number and Operations – (Fractions)Use equivalent fractions as a strategy to add and subtract fractions.– Add and subtract fractions with unlike denominators 
– Solve word problems involving addition and subtraction of fractions referring to the same whole
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.– Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
– Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
– Interpret multiplication as scaling (resizing)
– Solve real world problems involving multiplication of fractions and mixed numbers
– Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions
Measurement and DataConvert like measurement units within a given measurement system– Convert among different-sized standard measurement units within a given measurement system
Represent and interpret data– Make a line plot to display a data set of measurements in fractions of a unit.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition– Recognize volume as an attribute of solid figures and understand concepts of volume measurement
– Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
– Relate volume to the operations of multiplication and addition and solve real world and mathematical problems
GeometryGraph points on the coordinate plane to solve real-world and mathematical problems– Use a pair of perpendicular number lines, called axes, to define a coordinate system.
– Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points.
Classify two-dimensional figures into categories based on their properties– Understand that attributes belonging to a category of two- dimensional figures also belong to all subcategories of that category.
Classify two-dimensional figures in a hierarchy based on properties

This table provides an overview of the Common Core framework for Grade 5 math and the expected deliverables for each standard. Note that specific details and additional sub-points may vary depending on the curriculum and resources provided by each state or school district.

Last Updated: March 2023