St a n d a r d s for Mathematical Content
Algebra 1Number and Quantity
The Real N um ber System
Extend the properties of exponents to rational exponents
N-RN.A.1* Explain how the definition o f the meaning of rational exponents follow s from extending the properties
of integer exponents to those values, allow ing for a notation for radicals in terms o f rational exponents.
N-RN.A.2* Rewrite expressions involving radicals and rational exponents using the properties o f exponents.
Use properties o f ra tio n a l and irratio n a l numbers
N-RN.B.3 Explain 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.
Quantities
Reason q u a n tita tiv e ly and use units to solve problems
N-Q.A. 1 Use units as a way to understand problems and to guide the solution o f multi-step problems; choose and interpret
units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
N-Q.A.2 Define appropriate quantities for the purpose o f descriptive modeling.
N-Q.A.3 Choose a level o f accuracy appropriate to limitations on measurement when reporting quantities.Algebra
Seeing Structure in Expressions
Interpret the structure of expressions
A-SSE.A. 1 Interpret expressions that represent a quantity in terms o f its context.
A-SSE.A. 1 a Interpret parts o f an expression, such as terms, factors, and coefficients.
A-SSE.A. 1 b Interpret complicated expressions by viewing one or more o f their parts as a single entity.
A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it.
W rite expressions in eq u iv a le n t form s to solve problem s
A-SSE.B.3 Choose and produce an equivalent form o f an expression to reveal and explain properties of the quantity
represented by the expression.
A-SSE.B.3a Factor a quadratic expression to reveal the zeros o f the function it defines.
A-SSE.B.3b Complete the square in a quadratic expression to reveal the maximum or minimum value o f the function it
defines.
A-SSE.B.3c Use the properties of exponents to transform expressions for exponential functions.
A rith m e tic w ith Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
A-APR.A.1 Understand th a t polynomials form a system analogous to the integers, namely, they are closed under the
operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Understand the relationship between zeros and factors of polynomials
A-APR.B.3 Identify zeros o f polynomials when suitable factorizations are available, and use the zeros to construct a rough
graph o f the function defined by the polynomial.
Rewrite rational expressions
A-APR.D.6* Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)lb(x), where a(x),
b(x), q(x), and r(x) are polynomials w ith the degree o f r(x) less than the degree of b(x), using inspection, long
division, or, for the more complicated examples, a computer algebra system.
A-APR.D.7* ( + ) Understand th a t rational expressions form a system analogous to the rational numbers, closed under
addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and
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xxThese standards are not part o f the PARCC M o de l Curriculum Framework for A lgebra 1.