HS.N: Conceptual Category Number and Quantity

Conceptual Category Number and Quantity

HS.N.1Extend the properties of integer exponents to rational exponents, allowing for the expression of radicals in terms of rational exponents. (MP.2, MP.7)HS.N.10(+)Extend polynomial identities to the complex numbers. (MP.7, MP.8)HS.N.11(+)Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. (MP.1, MP.3)HS.N.12(+)Understand and apply properties of vectors. (MP.1, MP.6)HS.N.13(+)Perform operations with vectors (addition, subtraction and multiplication by a scalar). (MP.3, MP.7)HS.N.14Use matrices to represent and manipulate data. (MP.4, MP.5)HS.N.15Perform operations with matrices. (MP.7, MP.8)HS.N.16(+)Understand properties of square and identity matrices. (MP.3, MP.7)HS.N.17(+)Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors. (MP.2, MP.7)HS.N.2Rewrite expressions involving radicals and rational exponents using the properties of exponents. (MP.7)HS.N.3(+)Justify why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. (MP.3, MP.6)HS.N.4Use units in context as a way to understand problems and to guide the solution of multi-step problems; (MP.5, MP.6)HS.N.5Define appropriate units in context for the purpose of descriptive modeling. (MP.1, MP.6)HS.N.6Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. (MP.2, MP.6)HS.N.7Understanding properties of complex numbers. (MP.7, MP.8)HS.N.8(+)Understanding representations of complex numbers using the complex plane. (MP.2, MP.5)HS.N.9Solve quadratic equations with real coefficients that have complex solutions. (MP.1, MP.2)
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