# Common Core Standards for Mathematics

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Common Core Math in the Classroom: Teaching Resources and Worksheets

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 Common Core
What is the Common Core Standards? The Common Core State Standards Initiative is a U.S. education initiative that seeks to bring diverse state curricula into alignment with each other by following the principles of standards-based education reform. The initiative is sponsored by the National Governors Association (NGA) and the Council of Chief State School Officers (CCSSO).

The Mathematics Standards include Standards for Mathematical Practice and Standards for Mathematical Content.

### Mathematical practice

The eight principles of mathematical practice are:

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.

### Mathematical content

Mathematical content is organized in a number of domains.

### Common Core Standards by Grades

Lessons, Worksheets and Games that are suitable for the Common Core Math sorted by Grades. We have Common Core Math Lessons, Common Core Math Worksheets, Common Core Math Games and Common Core Math Lesson Plans.

### Common Core Standards by Domains

Click on the following links to find lessons suitable for the Common Core Math sorted by domains.

Counting & Cardinality
Kindergarten
Know number names and the count sequence.
Count to tell the number of objects.
Compare numbers.

Operations & Algebraic Thinking
Kindergarten

Represent and solve problems involving addition and subtraction.
Understand and apply properties of operations and the relationship between addition and subtraction.
Work with addition and subtraction equations.
Represent and solve problems involving addition and subtraction.
Work with equal groups of objects to gain foundations for multiplication.
Represent and solve problems involving multiplication and division.
Understand properties of multiplication and the relationship between multiplication and division.
Multiply and divide within 100.
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Use the four operations with whole numbers to solve problems.
Gain familiarity with factors and multiples.
Generate and analyze patterns.
Write and interpret numerical expressions.
Analyze patterns and relationships

Number & Operations in Base Ten
Kindergarten

Work with numbers 11-19 to gain foundations for place value.
Extend the counting sequence.
Understand place value.
Use place value understanding and properties of operations to add and subtract.
Understand place value.
Use place value understanding and properties of operations to add and subtract.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Understand the place value system.
Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations and Fractions
Develop understanding of fractions as numbers.
Extend understanding of fraction equivalence and ordering.
Build fractions from unit fractions.
Understand decimal notation for fractions, and compare decimal fractions.

Use equivalent fractions as a strategy to add and subtract fractions.
Apply and extend previous understandings of multiplication and division. Measurement and Data
Kindergarten
Describe and compare measurable attributes.
Classify objects and count the number of objects in each category.
Measure lengths indirectly and by iterating length units.
Tell and write time.
Represent and interpret data.
Measure and estimate lengths in standard units.
Relate addition and subtraction to length.
Work with time and money.
Represent and interpret data.
Solve problems involving measurement and estimation.
Represent and interpret data.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Geometric measurement: recognize perimeter.
Solve problems involving measurement and conversion of measurements.
Represent and interpret data.
Geometric measurement: understand concepts of angle and measure angles.
Convert like measurement units within a given measurement system.
Represent and interpret data.
Geometric measurement: understand concepts of volume.

Ratios and Proportional Relationships
Understand ratio concepts and use ratio reasoning to solve problems.
Analyze proportional relationships and use them to solve real-world and mathematical problems.

The Number System
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Compute fluently with multi-digit numbers and find common factors and multiples.
Apply and extend previous understandings of numbers to the system of rational numbers.
Apply and extend previous understandings of operations with fractions.
Know that there are numbers that are not rational, and approximate them by rational numbers.

Expressions and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.
Reason about and solve one-variable equations and inequalities.
Represent and analyze quantitative relationships between dependent and independent variables.
Use properties of operations to generate equivalent expressions.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Expressions and Equations Work with radicals and integer exponents.
Understand the connections between proportional relationships, lines, and linear equations.
Analyze and solve linear equations and pairs of simultaneous linear equations. Functions
Define, evaluate, and compare functions.
Use functions to model relationships between quantities.

Geometry
Kindergarten
Identify and describe shapes.
Analyze, compare, create, and compose shapes.
Reason with shapes and their attributes.
Reason with shapes and their attributes.
Reason with shapes and their attributes.
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Graph points on the coordinate plane to solve real-world and mathematical problems.
Classify two-dimensional figures into categories based on their properties.
Solve real-world and mathematical problems involving area, surface area, and volume.
Draw construct, and describe geometrical figures and describe the relationships between them.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Understand congruence and similarity using physical models, transparencies, or geometry software.
Understand and apply the Pythagorean Theorem.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Statistics and Probability
Develop understanding of statistical variability.
Summarize and describe distributions.
Use random sampling to draw inferences about a population.
Draw informal comparative inferences about two populations.
Investigate chance processes and develop, use, and evaluate probability models.
Investigate patterns of association in bivariate data.

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