Algebra II (Iowa Core)

Number and Quantity (N)

• A2.N-RN.A.1 Explain rational exponents as an extension of integer exponent rules, which gives a way to write radicals.
• A2.N-RN.A.2 Rewrite expressions with radicals and rational exponents using exponent properties.
• A2.N-Q.A.1 Use units to make sense of and guide multi-step problems; pick units, scales and origins for formulas and graphs.
• A2.N-Q.A.2 Define suitable quantities when building a descriptive model.
• A2.N-Q.A.3 Report quantities with a level of accuracy that fits the limits of the measurement.
• A2.N-CN.A.1 Know the complex unit i with i squared equal to −1 and that complex numbers have the form a + bi.
• A2.N-CN.A.2 Add, subtract and multiply complex numbers using i squared = −1 and the usual properties.
• A2.N-CN.C.7 Solve quadratics with real coefficients whose roots are complex.

Algebra (A)

• A2.A-SSE.A.1b Interpret complicated expressions by seeing parts of them as single quantities in context, e.g. a growth factor.
• A2.A-SSE.A.2 Spot structure in an expression to rewrite it, e.g. seeing a difference of fourth powers as a difference of squares.
• A2.A-SSE.B.3 Pick an equivalent form of an expression, such as factored, vertex or exponent-rewritten form, to show its properties.
• A2.A-SSE.B.4 Use the finite geometric series sum formula (ratio not 1) to solve problems such as loan payments.
• A2.A-APR.A.1 See that polynomials are closed under addition, subtraction and multiplication like integers, and do these operations.
• A2.A-APR.B.2 Know and use the Remainder Theorem linking p(a) to division by x − a.
• A2.A-APR.B.3 Find polynomial zeros from suitable factorizations and use them to sketch the graph.
• A2.A-APR.D.6 Rewrite simple rational expressions as a quotient plus remainder over divisor by inspection or long division.
• A2.A-CED.A.1 Write one-variable equations and inequalities and use them to solve problems.
• A2.A-CED.A.2 Write equations in two or more variables for relationships and graph them with labeled axes and scales.
• A2.A-CED.A.3 Express constraints with equations, inequalities or systems and judge which solutions are viable in context.
• A2.A-CED.A.4 Solve a formula for a chosen variable using the same steps as solving equations.
• A2.A-REI.A.1 Justify each step in solving an equation and build an argument for a solution method.
• A2.A-REI.A.2 Solve one-variable rational and radical equations and show how extraneous roots can appear.
• A2.A-REI.B.4 Solve one-variable quadratics by completing the square, the quadratic formula, factoring and inspection.
• A2.A-REI.C.7 Solve a system of one linear and one quadratic equation algebraically and by graphing.
• A2.A-REI.D.10 Understand that a two-variable equation's graph is the set of all its solutions in the plane.
• A2.A-REI.D.11 Explain why intersections of graphs solve a system and approximate them with technology or tables.
• A2.A-REI.D.12 Graph linear inequalities in two variables as half-planes and graph solution sets of systems of them.

Functions (F)

• A2.F-IF.B.4 Interpret key features of graphs and tables of a function in context and sketch graphs from descriptions.
• A2.F-IF.B.5 Connect a function's domain to its graph and to the situation it models.
• A2.F-IF.B.6 Compute and interpret average rate of change of a nonlinear function over an interval and estimate it from a graph.
• A2.F-IF.C.7 Graph functions by hand and with technology showing key features, including root, piecewise, polynomial and exponential types.
• A2.F-IF.C.8 Rewrite a function in equivalent forms to reveal its properties, e.g. for rational or exponential functions.
• A2.F-IF.C.9 Compare properties of two functions given in different representations.
• A2.F-BF.A.1b Build functions that combine standard types with arithmetic operations to model situations.
• A2.F-BF.A.2 Write arithmetic and geometric sequences recursively and explicitly, use them as models and convert between forms.
• A2.F-BF.B.3 Identify how adding or multiplying by k inside or outside f changes a graph, and find k from graphs.
• A2.F-BF.B.4 Find inverses of simple functions by solving f(x) = c for x.
• A2.F-LE.A.2 Build linear and exponential functions, including sequences, from graphs, descriptions or input-output pairs.
• A2.F-LE.A.4 Use logarithms (base 2, 10 or e) to solve exponential equations and evaluate them with technology.
• A2.F-LE.B.5 Interpret the parameters of linear or exponential functions in context.
• A2.F-TF.A.1 Understand radian measure as the arc length cut off on the unit circle by an angle.
• A2.F-TF.A.2 Explain how the unit circle extends sine and cosine to all real numbers.
• A2.F-TF.A.3 Use special right triangles to find sine and cosine of common angles and extend them around the unit circle.
• A2.F-TF.A.4 Use the unit circle to explain odd/even symmetry and periodicity of trig functions.
• A2.F-TF.B.5 Choose trig functions to model periodic situations with a given amplitude, frequency and midline.

Statistics and Probability (S)

• A2.S-ID.A.4 Fit data to a normal distribution using mean and standard deviation to estimate percentages, knowing when this is unsuitable.
• A2.S-IC.A.1 See statistics as a process for inferring population parameters from a random sample.
• A2.S-IC.A.2 Judge whether a model fits results from a data-generating process, e.g. using simulation.
• A2.S-IC.B.3 Tell apart sample surveys, experiments and observational studies and explain the role of randomization in each.
• A2.S-IC.B.4 Estimate a population mean or proportion from a survey and build a margin of error by simulation.
• A2.S-IC.B.5 Compare two treatments in a randomized experiment and use simulation to judge whether differences are significant.
• A2.S-IC.B.6 Evaluate reports that are based on data.