The Common Core State Standards for Grade 4 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 | Use the four operations with whole numbers to solve problems | – Interpret a multiplication equation as a comparison. – Represent verbal statements of multiplicative comparisons as multiplication equations. |
| – Multiply or divide to solve word problems involving multiplicative comparison | ||
| – 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 | ||
| Gain familiarity with factors and multiples | – Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors | |
| Generate and analyze patterns | – Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. | |
| Number and Operations in Base Ten | Generalize place value understanding for multi-digit whole numbers | – Recognize that in a multi-digit whole number |
| – Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. | ||
| – Use place value understanding to round multi-digit whole numbers to any place. | ||
| Use place value understanding and properties of operations to perform multi-digit arithmetic | – Fluently add and subtract multi-digit whole numbers using the standard algorithm | |
| – Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. | ||
| – Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors | ||
| Number and Operations – (Fractions) | Extend understanding of fraction equivalence and ordering | – Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. |
| – Compare two fractions with different numerators and different denominators | ||
| Build fractions from unit fractions by applying and extending previous | – Understand a fraction a/b with a > 1 as a sum of fractions 1/b. | |
| – Apply and extend previous understandings of multiplication to multiply a fraction by a whole number | ||
| understandings of operations on whole numbers | ||
| Understand decimal notation for fractions, and compare decimal fractions | – Express a fraction with denominator 10 as an equivalent fraction with denominator 100 | |
| – Use decimal notation for fractions with denominators 10 or 100 | ||
| – 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, e.g., by using a visual model. | ||
| Measurement and Data | Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit | – Know relative sizes of measurement units within one system of units |
| – Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. | ||
| – Apply the area and perimeter formulas for rectangles in real world and mathematical problems | ||
| Represent and interpret data | – Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. | |
| Geometric measurement: understand concepts of angle and measure angles | – Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement | |
| – Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure | ||
| – Recognize angle measure as additive. | ||
| Geometry | Draw and identify lines and angles, and classify shapes by properties of their lines and angles | – Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. |
| – Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. | ||
| – Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. |
This table provides an overview of the Common Core framework for Grade 4 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