Algebra II (Oklahoma Academic Standards)

Number & Operations (N)

• Extend number sense to complex numbers, radicals, and rational exponents.
  • A2.N.1.1 Find the value of i raised to any whole-number power.
  • A2.N.1.2 Simplify, add, subtract, multiply, and divide complex numbers.
  • A2.N.1.3 Use how rational exponents, integer exponents, and radicals relate.
• Extend operations to matrices.
  • A2.N.2.1 Organize data in matrices and state a matrix's dimensions (order).
  • A2.N.2.2 Solve problems with matrix addition, subtraction, and scalar multiplication.

Algebraic Reasoning & Algebra (A)

• Solve real-world problems with nonlinear equations and systems of linear equations and inequalities.
  • A2.A.1.1 Model quadratic relationships and solve them in several ways, including finding non-real roots.
  • A2.A.1.2 Model exponential growth and decay and solve algebraically or by graphing.
  • A2.A.1.3 Solve rational equations and check for extraneous solutions.
  • A2.A.1.4 Solve polynomial equations with real roots by several methods.
  • A2.A.1.5 Solve square root and cube root equations and check for extraneous solutions.
  • A2.A.1.6 Solve common and natural logarithm equations using properties of logarithms.
  • A2.A.1.7 Model and solve systems of linear equations with up to three variables.
  • A2.A.1.8 Solve systems made of one linear and one quadratic equation.
  • A2.A.1.9 Solve and graph systems of up to three linear inequalities in two variables.
• Write and evaluate equivalent algebraic expressions and equations.
  • A2.A.2.1 Factor polynomials, including trinomials, special products, and grouping.
  • A2.A.2.2 Add, subtract, multiply, divide, and simplify polynomial expressions.
  • A2.A.2.3 Add, subtract, multiply, divide, and simplify rational expressions.
  • A2.A.2.4 Use equivalent forms of quadratic functions and choose the most useful form.
  • A2.A.2.5 Rewrite radical and rational-exponent expressions with exponent properties.
• Solve problems with arithmetic and geometric sequences and series.
  • A2.A.3.1 Recognize arithmetic sequences as linear and find the next term.
  • A2.A.3.2 Recognize geometric sequences as exponential and interpret their parameters.
  • A2.A.3.3 Solve arithmetic sequence and series problems with nth-term and sum formulas.
  • A2.A.3.4 Solve finite geometric sequence and series problems with nth-term and sum formulas.

Functions (F)

• Understand functions as ways to describe how related quantities change together.
  • A2.F.1.1 State domain and range in several notations and evaluate functions.
  • A2.F.1.2 Identify parent forms of several function families and predict transformations.
  • A2.F.1.3 Graph quadratic functions and identify intercepts, vertex, and axis of symmetry.
  • A2.F.1.4 Graph exponential and logarithmic functions and identify asymptotes and intercepts.
  • A2.F.1.5 Analyze graphs of polynomials for intercepts, zeros, extrema, and intervals of change.
  • A2.F.1.6 Graph rational functions and identify holes, asymptotes, and intercepts.
  • A2.F.1.7 Graph square root and cube root functions and identify key features.
  • A2.F.1.8 Graph and analyze piecewise functions with up to three pieces.
  • A2.F.1.9 Decide whether a discrete or continuous graph suits a model.
• Analyze functions by combining them, composing them, and finding inverses where they exist.
  • A2.F.2.1 Add, subtract, multiply, and divide functions in function notation, noting domain restrictions.
  • A2.F.2.2 Compose functions and recognize that g is the inverse of f when both compositions give x.
  • A2.F.2.3 Find and graph the inverse of a function when it exists, noting that domain and range swap.
  • A2.F.2.4 Use the inverse link between exponential and logarithmic forms to convert between them.

Data & Probability (D)

• Display, describe, and compare data, predict from linear and nonlinear relationships, and judge reliability.
  • A2.D.1.1 Use mean and standard deviation to build a bell-shaped normal distribution.
  • A2.D.1.2 Collect data and describe linear, exponential, or quadratic patterns in scatter plots.
  • A2.D.1.3 Predict with regression equations and judge reliability with the correlation coefficient.
• Use statistical thinking to draw inferences, predict, and justify conclusions.
  • A2.D.2.1 Evaluate reports and data collection methods and recognize distorted graphs.
  • A2.D.2.2 Identify and explain misleading conclusions and graphs.
  • A2.D.2.3 Tell correlation apart from causation in two-variable relationships.