Algebraic reasoning. The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms.

PC.5.AEvaluate finite sums and geometric series, when possible, written in sigma notation.PC.5.BRepresent arithmetic sequences and geometric sequences using recursive formulas.PC.5.CCalculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems.PC.5.DRepresent arithmetic series and geometric series using sigma notation.PC.5.ECalculate the nth term of a geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists.PC.5.FApply the Binomial Theorem for the expansion of (a + b)^n in powers of a and b for a positive integer n, where a and b are any numbers.PC.5.GUse the properties of logarithms to evaluate or transform logarithmic expressions.PC.5.HGenerate and solve logarithmic equations in mathematical and real-world problems.PC.5.IGenerate and solve exponential equations in mathematical and real-world problems.PC.5.JSolve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems.PC.5.KSolve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems.PC.5.LSolve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems.PC.5.MUse trigonometric identities such as reciprocal, quotient, Pythagorean, co-functions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions.PC.5.NGenerate and solve trigonometric equations in mathematical and real-world problems.
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