Common Core math standards

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目錄

Grade 1

Grade 2

Geometry

Operations and Algebraic Thinking

Number and Operations in Base Ten

Measurement and Data

Grade 3

Geometry

Operations and Algebraic Thinking

Number and Operations in Base Ten

Number and Operations: Fractions

Measurement and Data

Grade 4

Geometry

Operations and Algebraic Thinking

Number and Operations in Base Ten

Number and Operations: Fractions

Measurement and Data

Grade 5

Grade 6

Grade 7

Geometry

Ratios and Proportional Relationships

The Number System

Expressions and Equations

Statistics and Probability

Grade 8

High School

Number and Quantity

The real number system

  • HSN-RN.A.1
    • Understanding fractional exponents
  • HSN-RN.A.2
    • Adding and subtracting radicals
    • Fractional exponents
    • Eexponents 2
    • Manipulating fractional exponents
    • Simplifying expressions with exponents
    • Simplifying square roots 2
  • HSN-RN.B.3
    • Recognizing rational and irrational expressions

Quantities

  • HSN-Q.A.1
    • Units and scale of graphs
    • Working with units algebraically
  • HSN-Q.A.2
    • Defining appropriate units
  • HSN-Q.A.3
    • Measurement precision

The Complex Number System

  • HSN-CN.A.1
    • The imaginary unit and complex numbers
  • HSN-CN.A.2
    • Adding and subtracting complex numbers
    • Imaginary unit powers
    • Multiplying complex numbers
  • HSN-CN.A.3
    • Absolute value of complex numbers
    • Dividing complex numbers
  • HSN-CN.B.4
    • Complex number polar form intuition
    • Complex plane operations
    • Rectangular and polar forms of complex numbers
    • The complex plane
  • HSN-CN.B.5
    • Complex plane operations
    • Multiplying and dividing complex numbers in polar form
    • Powers of complex numbers
  • HSN-CN.B.6
    • Distance and midpoint on the complex plane
  • HSN-CN.C.7
    • Quadratic formula with complex solutions
  • HSN-CN.C.8
    • Equivalent forms of expressions with complex numbers
  • HSN-CN.C.9
    • The fundamental theorem of algebra

Vector and Matrix Quantities

  • HSN-VM.A.1
    • Recognizing vector quantities
  • HSN-VM.A.2
    • Components of vectors
  • HSN-VM.A.3
    • Vector word problems
  • HSN-VM.B.4
    • Adding and subtracting vectors in rectangular form
    • Adding vectors in magnitude and direction form
    • Graphically adding and subtracting vectors
  • HSN-VM.B.4a
    • Adding and subtracting vectors in rectangular form
    • Adding vectors in magnitude and direction form
    • Graphically adding and subtracting vectors
  • HSN-VM.B.4b
    • Adding vectors in magnitude and direction form
    • Graphically adding and subtracting vectors
  • HSN-VM.B.4c
    • Adding vectors in magnitude and direction form
    • Graphically adding and subtracting vectors
  • HSN-VM.B.5
    • Unit vectors
  • HSN-VM.B.5a
    • Scaling vectors
  • HSN-VM.B.5b
    • Unit vectors
  • HSN-VM.C.6
    • Representing relationships with matrices
  • HSN-VM.C.7
    • Scalar matrix multiplication
  • HSN-VM.C.8
    • Defined and undefined matrix operations
    • Matrix addition and subtraction
    • Multiplying a matrix by a matrix
  • HSN-VM.C.9
    • Properties of matrix multiplication
  • HSN-VM.C.10
    • Zero and identity matrices
  • HSN-VM.C.11
    • Multiplying a matrix by a vector
  • HSN-VM.C.12
    • Geometric transformations with matrix multiplication

Algebra

Seeing Structure in Expressions

  • HSA-SSE.A.1
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.1a
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.1b
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.2
    • Equivalent forms of polynomial expressions
    • Expressions with unknown variables
    • Expressions with unknown variables 2
    • Factoring difference of squares 1
    • Factoring difference of squares 2
    • Factoring difference of squares 3
    • Factoring linear binomials
    • Factoring polynomials by grouping
    • Factoring quadratics 1
    • Factoring quadratics 2
    • Factoring quadratics with two variables
    • Nested fractions
  • HSA-SSE.B.3
    • Equivalent forms of exponential expressions
    • Factoring quadratics 1
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Rewriting and interpreting exponential functions
    • Solving quadratics by completing the square 1
    • Solving quadratics by completing the square 2
    • Solving quadratics by factoring
    • Solving quadratics by factoring 2
    • Vertex of a parabola
  • HSA-SSE.B.3a
    • Factoring quadratics 1
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Solving quadratics by factoring
    • Solving quadratics by factoring 2
  • HSA-SSE.B.3b
    • Completing the square in quadratic expressions
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Solving quadratics by completing the square 1
    • Solving quadratics by completing the square 2
    • Vertex of a parabola
  • HSA-SSE.B.3c
    • Equivalent forms of exponential expressions
    • Rewriting and interpreting exponential functions
  • HSA-SSE.B.4
    • Calculating finite geometric series
    • Finite geometric series word problems

Arithmetic with Polynomials and Rational Expressions

  • HSA-APR.A.1
    • Adding and subtracting polynomials
    • Multiplying binomials 1
    • Multiplying binomials 2
    • Multiplying polynomials
  • HSA-APR.B.2
    • Remainder theorem of polynomials
  • HSA-APR.B.3
    • Using zeros to graph polynomials
  • HSA-APR.C.4
    • Polynomial identities
  • HSA-APR.C.5
    • Binomial theorem
  • HSA-APR.D.6
    • Dividing polynomials with remainders
  • HSA-APR.D.7
    • Adding and subtracting rational expressions 1 Adding and subtracting two expressions with
    • Adding and subtracting rational expressions 2
    • Adding and subtracting rational expressions 3
    • Adding and subtracting rational expressions 4
    • Adding and subtracting rational expressions 5
    • Dividing polynomials by binomials 1
    • Dividing polynomials by binomials 2
    • Dividing polynomials by binomials 3
    • Multiplying and dividing rational expressions 1
    • Multiplying and dividing rational expressions 2
    • Multiplying and dividing rational expressions 3
    • Multiplying and dividing rational expressions 4
    • Multiplying and dividing rational expressions 5
    • Simplifying rational expressions 2
    • Simplifying rational expressions 3
    • Simplifying rational expressions 4
    • Simplifying rational expressions with exponent properties

Creating Equations

  • HSA-CED.A.1
    • Modeling with one-variable equations and inequalities
  • HSA-CED.A.2
    • Modeling with two-variable equations and graphs
  • HSA-CED.A.3
    • Modeling constraints with two-variable inequalities
  • HSA-CED.A.4
    • Manipulating formulas
    • Solving equations in terms of a variable

Reasoning with Equations and Inequalities

  • HSA-SSE.A.1
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.1a
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.1b
    • Interpreting the structure of expressions
    • Structure in expressions 1
  • HSA-SSE.A.2
    • Equivalent forms of polynomial expressions
    • Expressions with unknown variables
    • Expressions with unknown variables 2
    • Factoring difference of squares 1
    • Factoring difference of squares 2
    • Factoring difference of squares 3
    • Factoring linear binomials
    • Factoring polynomials by grouping
    • Factoring quadratics 1
    • Factoring quadratics 2
    • Factoring quadratics with two variables
    • Nested fractions
  • HSA-SSE.B.3
    • Equivalent forms of exponential expressions
    • Factoring quadratics 1
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Rewriting and interpreting exponential functions
    • Solving quadratics by completing the square 1
    • Solving quadratics by completing the square 2
    • Solving quadratics by factoring
    • Solving quadratics by factoring 2
    • Vertex of a parabola
  • HSA-SSE.B.3a
    • Factoring quadratics 1
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Solving quadratics by factoring
    • Solving quadratics by factoring 2
  • HSA-SSE.B.3b
    • Completing the square in quadratic expressions
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Solving quadratics by completing the square 1
    • Solving quadratics by completing the square 2
    • Vertex of a parabola
  • HSA-SSE.B.3c
    • Equivalent forms of exponential expressions
    • Rewriting and interpreting exponential functions
  • HSA-SSE.B.4
    • Calculating finite geometric series
    • Finite geometric series word problems

Functions

Interpreting Functions

  • HSF-IF.A.1
    • Domain of a function
    • Range of a function
    • Recognizing functions 2
  • HSF-IF.A.2
    • Evaluating expressions with function notation
    • Understanding function notation
  • HSF-IF.A.3
    • Defining sequences as functions
    • Modeling with sequences
  • HSF-IF.B.4
    • Interpreting features of functions
    • Positive and negative parts of functions
    • Recognizing features of functions
  • HSF-IF.B.5
    • Domain and range from graph
    • Domain of a function
  • HSF-IF.B.6
    • Average rate of change
  • HSF-IF.C.7
    • Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.(Skills for this standard are coming soon.)
  • HSF-IF.C.7a
    • Converting between slope-intercept and standard form
    • Converting from point-slope to slope-intercept form
    • Graphing linear equations
    • Graphing parabolas in all forms
    • Graphing parabolas in standard form
    • Graphing parabolas in vertex form
    • Line graph intuition
    • Linear function intercepts
    • Point slope form
    • Slope intercept form
  • HSF-IF.C.7b
    • Graphs of absolute value functions
    • Graphs of piecewise linear functions
    • Graphs of piecewise nonlinear functions
    • Graphs of square root functions
  • HSF-IF.C.7c
    • Graphs of polynomials
  • HSF-IF.C.7d
    • Graphs of rational functions
  • HSF-IF.C.7e
    • Amplitude of trigonometric functions
    • Graphs of exponentials and logarithms
    • Graphs of trigonometric functions
    • Midline of trigonometric functions
    • Period of trigonometric functions
  • HSF-IF.C.8
    • Equivalent forms of exponential expressions
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
    • Rewriting and interpreting exponential functions
  • HSF-IF.C.8a
    • Finding and interpreting key features of quadratics
    • Key features of quadratic functions
  • HSF-IF.C.8b
    • Equivalent forms of exponential expressions
    • Rewriting and interpreting exponential functions
  • HSF-IF.C.9
    • Comparing features of functions

Building Functions

  • HSF-BF.A.1
    • Evaluating composite functions
    • Modeling with composite functions
    • Modeling with sequences
  • HSF-BF.A.1a
  • HSF-BF.A.1b
  • HSF-BF.A.1c
  • HSF-BF.A.2
  • HSF-BF.B.3
  • HSF-BF.B.4
  • HSF-BF.B.4a
  • HSF-BF.B.4b
  • HSF-BF.B.4c
  • HSF-BF.B.4d
  • HSF-BF.B.5

Linear, Quadratic, and Exponential Models

Trigonometric Functions

Geometry

Congruence

Similarity, Right Triangles, and Trigonometry

Circles

Expressing Geometric Properties with Equations

Geometric Measurement and Dimension

Modeling with Geometry

Statistics & Probability

Interpreting Categorical and Quantitative Data

Making Inferences and Justifying Conclusions

Conditional Probability & the Rules of Probability

Using Probability to Make Decisions

Kindergarten