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Common Core Math in the Classroom: Teaching Resources and Worksheets

Need help teaching or learning the Common Core Math?

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

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

Understand addition, and understand subtraction.

** Grade 1**

Represent and solve problems involving addition and subtraction.

Understand and apply properties of operations and the relationship between addition and subtraction.

Add and subtract within 20.

Work with addition and subtraction equations.

**Grade 2 **

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

Work with equal groups of objects to gain foundations for multiplication.

**Grade 3 **

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.

**Grade 4 **

Use the four operations with whole numbers to solve
problems.

Gain familiarity with factors and multiples.

Generate and analyze patterns.

**Grade 5**

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.

**Grade 1**

Extend the counting sequence.

Understand place value.

Use place value understanding and properties of operations to add and subtract**.**

**Grade 2 **

Understand place value.

Use place value understanding and properties of operations to add and subtract.

**Grade 3 **

Use place value understanding and properties of operations to perform multi-digit arithmetic.

**Grade 4 **

Generalize place value understanding for multi-digit whole numbers.

Use place value understanding and properties of operations to perform multi-digit arithmetic.

**Grade 5 **

Understand the place value system.

Perform operations with multi-digit whole numbers and with decimals to hundredths.

**Number
and Operations and Fractions**

**Grade 3**

Develop understanding of fractions as numbers.

**Grade 4**

Extend understanding of fraction equivalence and ordering.

Build fractions from unit fractions.

Understand decimal notation for fractions, and compare decimal fractions.

Grade 5

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.

**Grade 1**

Measure lengths indirectly and by iterating length units.

Tell and write time.

Represent and interpret data.

**Grade 2 **

Measure and estimate lengths in standard units.

Relate addition and subtraction to length.

Work with time and money.

Represent and interpret data.

**Grade 3**

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.

**Grade 4**

Solve problems involving measurement and conversion of
measurements.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure angles.

**Grade 5**

Convert like measurement units within a given measurement
system.

Represent and interpret data.

Geometric measurement: understand concepts of volume.

**Ratios
and Proportional Relationships**

**Grade 6 **

Understand ratio concepts and use ratio reasoning to solve problems.

**Grade 7 **

Analyze proportional relationships and use them to solve real-world and mathematical problems.

**The
Number System**

**Grade 6**

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.

**Grade 7**

Apply and extend previous understandings of operations
with fractions.

**Grade 8**

Know that there are numbers that are not rational, and approximate them by rational numbers.

**Expressions
and Equations**

**Grade 6**

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.

**Grade 7**

Use properties of operations to generate equivalent expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

**Grade 8**

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**

**Grade 8**

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

**Geometry**

**Kindergarten**

Identify and describe shapes.

Analyze, compare, create, and compose shapes.

**Grade 1**

Reason with shapes and their attributes.

**Grade 2**

Reason with shapes and their attributes.

**Grade 3**

Reason with shapes and their attributes.

**Grade 4**

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

**Grade 5**

Graph points on the coordinate plane to solve real-world and mathematical problems.

Classify two-dimensional figures into categories based on their properties.

**Grade 6**

Solve real-world and mathematical problems involving area, surface area, and volume.

**Grade 7**

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.

**Grade 8**

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 **

**Grade 6**

Develop understanding of statistical variability.

Summarize and describe distributions.

**Grade 7**

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.

**Grade 8**

Investigate patterns of association in bivariate data.

Common Core Math in the Classroom: Teaching Resources and Worksheets

Need help teaching or learning the Common Core Math?

Common Core | ||
---|---|---|

Kindergarten | 1st Grade | 2nd Grade |

3rd Grade | 4th Grade | 5th Grade |

6th Grade | 7th Grade | 8th Grade |

Number & Quantity | Algebra | Functions |

Geometry | Statistics & Probability | NYS Common Core |

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

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.

Domains | Grades |

Counting and Cardinality | Kindergarten |

Operations and Algebraic Thinking | Kindergarten, Grades 1 - 5 |

Number and Operations in Base 10 | Kindergarten, Grades 1 - 5 |

Number and Operations & Fractions | Grades 3 - 5 |

Measurement and Data | Kindergarten, Grades 1 - 5 |

Geometry | Kindergarten, Grades 1 - 8 |

The Number System | Grades 6 - 8 |

Expressions and Equations | Grades 6 - 8 |

Statistics and Probability | Grades 6 - 8 |

Ratios & Proportional Relationships | Grades 6 - 7 |

Functions | Grade 8 |

Common Core for Kindergarten
Counting & CardinalityKnow number names and the count sequence. Count to tell the number of objects. Compare numbers. Operations & Algebraic ThinkingUnderstand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Number & Operations in Base TenWork with numbers 11-19 to gain foundations for place value. Measurement and DataDescribe and compare measurable attributes. Classify objects and count the number of objects in each category. GeometryIdentify and describe shapes. Analyze, compare, create, and compose shapes. |
Common
Core for Grade 1 Operations & Algebraic Thinking
Represent & solve problems involving addition & subtraction. Understand & apply properties of operations and the relationship between addition and subtraction. Add and subtract within 20. Work with addition and subtraction equations. Number & Operations in Base TenExtend the counting sequence. Understand place value. Use place value understanding and properties of operations to add and subtract. Measurement and DataMeasure lengths indirectly and by iterating length units. Tell and write time. Represent and interpret data. GeometryReason with shapes and their attributes. |

Common
Core for Grade 2 Operations &
Algebraic ThinkingRepresent and solve problems involving addition and subtraction. Add and subtract within 20. Work with equal groups of objects to gain foundations for multiplication. Number & Operations in Base TenUnderstand place value. Use place value understanding and properties of operations to add and subtract. Measurement and DataMeasure & estimate lengths in standard units. Relate addition and subtraction to length. Work with time and money. Represent and interpret data. GeometryReason with shapes and their attributes. |
Common
Core for Grade 3 Operations &
Algebraic ThinkingRepresent 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. Number & Operations in Base TenUse place value understanding and properties of operations to perform multi-digit arithmetic. Number & Operations & FractionsDevelop understanding of fractions as numbers. Measurement and DataSolve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. Represent and interpret data. Geometric measurement: understand concepts of area and relate area to multiplication and to addition. Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. GeometryReason with shapes and their attributes. |

Common
Core for Grade 4 Operations &
Algebraic ThinkingUse the four operations with whole numbers to solve problems. Gain familiarity with factors and multiples. Generate and analyze patterns. Number & Operations in Base TenGeneralize place value understanding for multi-digit whole numbers. Use place value understanding and properties of operations to perform multi-digit arithmetic. Number & Operations & FractionsExtend 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 DataSolve 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. GeometryDraw and identify lines and angles, and classify shapes by properties of their lines and angles. |
Common
Core for Grade 5 Operations &
Algebraic ThinkingWrite and interpret numerical expressions. Analyze patterns and relationships. Number & Operations in Base TenUnderstand the place value system. Perform operations with multi-digit whole numbers and with decimals to hundredths. Number & Operations &FractionsUse equivalent fractions as a strategy to add and subtract fractions. Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Measurement and DataConvert like measurement units within a given measurement system. Represent and interpret data. Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. GeometryGraph points on the coordinate plane to solve real-world and mathematical problems. Classify two-dimensional figures into categories based on their properties. |

Common
Core for Grade 6 Ratios &
Proportional RelationshipsUnderstand ratio concepts and use ratio reasoning to solve problems. The Number SystemApply and extend previous understandings of multiplication and division to divide fractions by fractions. Multiply and divide multi-digit numbers and find common factors and multiples. Apply and extend previous understandings of numbers to the system of rational numbers. Expressions & EquationsApply 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. GeometrySolve real-world and mathematical problems involving area, surface area, and volume. Statistics & ProbabilityDevelop understanding of statistical variability. Summarize and describe distributions. |
Common
Core for Grade 7 Ratios &
Proportional RelationshipsAnalyze proportional relationships and use them to solve real-world and mathematical problems. The Number SystemApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Expressions & EquationsUse properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. GeometryDraw, 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. Statistics & ProbabilityUse 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. |

Common
Core for Grade 8 The Number SystemKnow that there are numbers that are not rational, and approximate them by rational numbers. Expressions and EquationsWork 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. FunctionsDefine, evaluate, and compare functions. Use functions to model relationships between quantities. GeometryUnderstand 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 ProbabilityInvestigate patterns of association in bivariate data. |
High
School: Number & Quantity The
Real Number SystemExtend the properties of exponents to rational exponents Classify numbers as rational or irrational QuantitiesReason quantitatively and use units to solve problems The Complex Number SystemPerform arithmetic operations with complex numbers Represent complex numbers and their operations on the complex plane Use complex numbers in polynomial identities and equations Vector and Matrix QuantitiesRepresent and model with vector quantities. Perform operations on vectors. Perform operations on matrices and use matrices in applications. |

High School Algebra Seeing
Structure in ExpressionsInterpret the structure of expressions Write expressions in equivalent forms to solve problems Arithmetic with Polynomials and Rational FunctionsPerform arithmetic operations on polynomials Understand the relationship between zeros and factors of polynomials Use polynomial identities to solve problems Rewrite rational functions Creating EquationsCreate equations that describe numbers or relationships Reasoning with Equations and InequalitiesUnderstand solving equations as a process of reasoning and explain the reasoning Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically |
High
School: Functions Interpreting
FunctionsUnderstand the concept of a function and use function notation Interpret functions that arise in applications in terms of the context Analyze functions using different representations Building FunctionsBuild a function that models a relationship between two quantities Build new functions from existing functions Linear, Quadratic, and Exponential ModelsConstruct and compare linear and exponential models and solve problems Interpret expressions for functions in terms of the situation they model Trigonometric FunctionsExtend the domain of trigonometric functions using the unit circle Model periodic phenomena with trigonometric functions Prove and apply trigonometric identities |

High School: Geometry CongruenceExperiment with transformations in the plane Understand congruence in terms of rigid motions Prove geometric theorems Make geometric constructions Similarity, Right Triangles, and TrigonometryUnderstand similarity in terms of similarity transformations Prove theorems involving similarity Define trigonometric ratios and solve problems involving right triangles Apply trigonometry to general triangles CirclesUnderstand and apply theorems about circles Find arc lengths and areas of sectors of circles Expressing Geometric Properties with EquationsTranslate between the geometric description and the equation for a conic section Use coordinates to prove simple geometric theorems algebraically Geometric Measurement and DimensionExplain volume formulas and use them to solve problems Visualize relationships between two-dimensional and three-dimensional objects Modeling with GeometryApply geometric concepts in modeling situations |
High
School: Statistics and Probability Interpreting
Categorical and Quantitative Data Summarize, represent, and interpret data on a single count or measurement variable Summarize, represent, and interpret data on two categorical and quantitative variables Interpret linear models Making Inferences and Justifying ConclusionsUnderstand and evaluate random processes underlying statistical experiments Make inferences and justify conclusions from sample surveys, experiments and observational studies Conditional Probability and the Rules of ProbabilityUnderstand independence and conditional probability and use them to interpret data Use the rules of probability to compute probabilities of compound events in a uniform probability model Using Probability to Make DecisionsCalculate expected values and use them to solve problems Use probability to evaluate outcomes of decisions |

Know number names and the count sequence.

Count to tell the number of objects.

Compare numbers.

Kindergarten

Understand addition, and understand subtraction.

Represent and solve problems involving addition and subtraction.

Understand and apply properties of operations and the relationship between addition and subtraction.

Add and subtract within 20.

Work with addition and subtraction equations.

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

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.

Gain familiarity with factors and multiples.

Generate and analyze patterns.

Write and interpret numerical expressions.

Analyze patterns and relationships

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

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.

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.

Grade 5

Use equivalent fractions as a strategy to add and subtract fractions.

Apply and extend previous understandings of multiplication and division.

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.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure angles.

Represent and interpret data.

Geometric measurement: understand concepts of volume.

Understand ratio concepts and use ratio reasoning to solve problems.

Analyze proportional relationships and use them to solve real-world and mathematical problems.

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.

Know that there are numbers that are not rational, and approximate them by rational numbers.

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.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Analyze, compare, create, and compose shapes.

Reason with shapes and their attributes.

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.

Develop understanding of statistical variability.

Summarize and describe distributions.

Draw informal comparative inferences about two populations.

Investigate chance processes and develop, use, and evaluate probability models.

Investigate patterns of association in bivariate data.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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