properties of the quantity represented by the expression.★ Factor a quadratic expression to reveal the zeros of the function it defines. Complete the square in a quadratic expression to reveal the maximum or minimum of the function it defines. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. A-SSE.4 4. Derive the formula for the sum of a finite geometric series (when the common is not 1), and use the formula to solve problems. For example, calculate mortgage payments.★ A-APR.1 1. Understand that 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. A-APR.2 2. Know and the Remainder Theorem: For a polynomial and a number the p(x) a, remainder on division by x a is p(a), so – p(a) = 0 if and only if (x a) is a factor of – p(x). A-APR.3 3. Identify of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. In Both In PARCC Only In Appendix A Only A-APR.4 4. polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 y2)2 + (2xy)2 can be used to – generate Pythagorean triples A-APR.5
properties of the quantity represented by the expression.★ Factor a quadratic expression to reveal the zeros of the function it defines. Complete the square in a quadratic expression to reveal the maximum or minimum of the function it defines. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. A-SSE.4 4. Derive the formula for the sum of a finite geometric series (when the common is not 1), and use the formula to solve problems. For example, calculate mortgage payments.★ A-APR.1 1. Understand that 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. A-APR.2 2. Know and the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x). A-APR.3 3. Identify of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. In Both In PARCC Only In Appendix A Only A-APR.4 4. polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 – y2)2 + (2xy)2 can be used to generate Pythagorean triples A-APR.5
algebra_ii-_appendix_a_and_parcc.docx