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 Thinking
|Write 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 Ten
|Understand 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 Data
|Convert 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
|Graph 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