Grade 4 Common Core Standards for
Mathematics
The Common Core State Standards provide
a consistent, clear understanding of what students are expected
to learn, so teachers and parents know what they need to do to
help them. The standards are designed to be robust and relevant
to the real world, reflecting the knowledge and skills that our
young people need for success in college and careers. With
American students fully prepared for the future, our communities
will be best positioned to compete successfully in the global
economy. 
In Grade 4, instructional time should focus on three critical areas: (1)
developing understanding and fluency with multidigit multiplication,
and developing understanding of dividing to find quotients involving
multidigit dividends; (2) developing an understanding of fraction
equivalence, addition and subtraction of fractions with like
denominators, and multiplication of fractions by whole numbers; (3)
understanding that geometric figures can be analyzed and classified
based on their properties, such as having parallel sides, perpendicular
sides, particular angle measures, and symmetry.

1. Students generalize their understanding of place value to
1,000,000, understanding the relative sizes of numbers in each
place. They apply their understanding of models for multiplication
(equalsized groups, arrays, area models), place value, and
properties of operations, in particular the distributive property,
as they develop, discuss, and use efficient, accurate, and
generalizable methods to compute products of multidigit whole
numbers. Depending on the numbers and the context, they select and
accurately apply appropriate methods to estimate or mentally
calculate products. They develop fluency with efficient procedures
for multiplying whole numbers; understand and explain why the
procedures work based on place value and properties of operations;
and use them to solve problems. Students apply their understanding
of models for division, place value, properties of operations, and
the relationship of division to multiplication as they develop,
discuss, and use efficient, accurate, and generalizable procedures
to find quotients involving multidigit dividends. They select and
accurately apply appropriate methods to estimate and mentally
calculate quotients, and interpret remainders based upon the
context.

2. Students develop understanding of fraction equivalence and
operations with fractions. They recognize that two different
fractions can be equal (e.g., 15/9 = 5/3), and they develop methods
for generating and recognizing equivalent fractions. Students extend
previous understandings about how fractions are built from unit
fractions, composing fractions from unit fractions, decomposing
fractions into unit fractions, and using the meaning of fractions
and the meaning of multiplication to multiply a fraction by a whole
number.

3. Students describe, analyze, compare, and classify twodimensional
shapes. Through building, drawing, and analyzing twodimensional
shapes, students deepen their understanding of properties of
twodimensional objects and the use of them to solve problems
involving symmetry.
Grade 4 Overview

Operations and Algebraic Thinking

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Generate and analyze patterns.

Number and Operations in Base Ten

Generalize place value understanding for multidigit whole
numbers.

Use place value understanding and properties of operations to
perform multidigit arithmetic.

Number and Operations—Fractions

Extend understanding of fraction equivalence and ordering.

Build fractions from unit fractions by applying and extending
previous understandings of operations on whole numbers.

Understand decimal notation for fractions, and compare decimal
fractions.

Measurement and Data

Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure
angles.

Geometry

Draw and identify lines and angles, and classify shapes by
properties of their lines and angles.

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of
others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.
Operations and Algebraic Thinking (4.OA)