Common Core Standards Math Practice

The 1st and 2nd grades CCSS math standards are grouped into four domains: operations and algebraic thinking, number and operations in base ten, measurement and data, and geometry. These domains are still studied in the 3rd, 4th and 5th grades, along with a new domain: fractions and operations with fractions.

The 6th and 7th grades CCSS math standards are grouped into five domains: ratios and proportional relationships, the number system, expressions and equations, statistics and probability and geometry. These domains are also used in eighth grade, with one exception: ratios and proportional relationships are replaced by functions.

The high school standards are designed in the following conceptual categories: Number and Quantity, Algebra, Functions, Modeling, Geometry and Statistics and Probability. The standards specify the mathematics that students should study in order to be college and career ready.

We have developed sets of practice questions that illustrate the full range of difficulty expected by particular standards. We are not affiliated with the National Governors Association Center for Best Practices (NGA Center) or the Council of Chief State School Officers (CCSSO) which coordinate the CCSS initiative.

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Kindergarten CCSS Math Practice
Kindergarten students should be able to represent and operate on whole numbers and to describe shapes and space.

1st Grade CCSS Math Practice
The common core standards for grade 1 focus on: addition and subtraction within 20, whole number relationships and place value, measuring lengths, and composing and decomposing geometric shapes.

2nd Grade CCSS Math Practice
Second grade students should focus on extending understanding of base-ten notation, on building fluency with addition and subtraction, on using standard units of measure and on describing and analyzing shapes.

3rd Grade CCSS Math Practice
According to the math standards, third grade students should know strategies for multiplication and division within 100, solve problems with unit fractions, understand the structure of rectangular arrays and of area and analyze two-dimensional shapes.

4th Grade CCSS Math Practice
Fourth grade students should be able to multiply multi-digit numbers, divide and find quotients of multi-digit dividends, add and subtract fractions with like denominators, multiply fractions by whole numbers, and analyze properties of geometric figures.

5th Grade CCSS Math Practice
The CCS standards for fifth grade mathematics focus on addition and subtraction of fractions, multiplication and division of fractions in limited cases, extending division to 2 digit divisors and understanding the concept of volume.

6th Grade CCSS Math Practice
In grade 6, students should learn to connect ratio and rate to multiplication and division, to solve problems with rational numbers including negative numbers, to write and use expressions and equations and develop understanding of statistical thinking.

7th Grade CCSS Math Practice
Seven grade students should be able to apply proportional relationships, to use operations with rational numbers, to solve linear equations, to solve real-life problems involving area, surface area and volume calculations, and to draw inference about populations based on samples.

8th Grade CCSS Math Practice
Eighth grade students should be able to reason with expressions and equations, to use functions to describe quantitative relationships, to use distance, angle, similarity and congruence and to understand and apply the Pythagorean Theorem.

High School CCSS Math Practice
Number and quantity, algebra, functions, modeling, geometry, statistics and probability.

External Resources:

Common Core State Standards from the CCSS Initiative website.

Tools for the Common Core Standards. This website publishes updates and reports on projects that support the implementation of the Common Core State Standards in Mathematics.