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:
| Domain | Standard | Deliverable |
|---|---|---|
| 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 | ||
| Geometry | 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