Precalculus (Iowa Core)

Polynomial, Rational, Exponential and Logarithmic Functions (F-PREL)

• PC.F-PREL.A.1 Grasp what a function is and how function notation works.
• PC.F-PREL.A.2 Recognize and graph many function families: linear, quadratic, polynomial, rational, exponential, log and more. (being checked)
• PC.F-PREL.A.3 Analyze a function through its domain, range, symmetry, intercepts and asymptotes.
• PC.F-PREL.A.4 Add, subtract, multiply, divide and compose functions.
• PC.F-PREL.B.1 Describe how two quantities change in relation to one another.
• PC.F-PREL.B.2 Understand polynomial behavior: end behavior, turning points and factors.
• PC.F-PREL.B.3 Divide polynomials by long division and by synthetic division.
• PC.F-PREL.B.4 Recognize and graph rational functions, studying asymptotes and discontinuities.
• PC.F-PREL.B.5 Solve polynomial and rational equations and inequalities.
• PC.F-PREL.B.6 Model situations with polynomial and rational functions.
• PC.F-PREL.B.7 Name the assumptions and limits of a function model.
• PC.F-PREL.C.1 Define exponential and log functions and state their properties.
• PC.F-PREL.C.2 Compose exponential and log functions and find their inverses.
• PC.F-PREL.C.3 Graph exponential and log functions and their transformations.
• PC.F-PREL.C.4 Solve exponential and log equations and inequalities.
• PC.F-PREL.C.5 Apply exponential and log functions to growth, interest and decay problems.
• PC.F-PREL.C.6 Fit exponential functions to data sets.
• PC.F-PREL.C.7 Model situations with logarithmic functions.

Trigonometric and Polar Functions (F-TF)

• PC.F-TF.A.1 Define the six trig functions, including the reciprocal ones.
• PC.F-TF.A.2 Graph sine, cosine, tangent and their reciprocal functions.
• PC.F-TF.A.3 Use the unit circle to define trig values for special angles.
• PC.F-TF.A.4 Solve trig equations with inverse trig functions.
• PC.F-TF.A.5 Solve trig equations and inequalities and use trig identities.
• PC.F-TF.A.6 Model data and situations with sinusoidal functions.
• PC.F-TF.A.7 Graph functions in polar coordinates.
• PC.F-TF.A.8 Describe how angle and radius change together on a polar graph.
• PC.F-TF.B.1 Simplify trig expressions and prove identities.
• PC.F-TF.B.2 Solve trig equations by algebra and by graphing.
• PC.F-TF.B.3 Use trig identities in problems about triangles, vectors and periodic change.

Analytic Geometry (F-AG)

• PC.F-AG.A.1 Understand properties of circles, parabolas, ellipses and hyperbolas.
• PC.F-AG.A.2 Graph conics given in standard or general form.
• PC.F-AG.A.3 Solve problems with distance, midpoint, slope and equations of lines and circles.
• PC.F-AG.A.4 Analyze and graph figures using transformations.

Sequences, Series, Parametrics, Vectors and Matrices (F-SS)

• PC.F-SS.A.1 Define arithmetic and geometric sequences and series.
• PC.F-SS.A.2 Find nth terms, partial sums and sums of finite and infinite series.
• PC.F-SS.A.3 Use sequences and series to solve problems in math and other fields.
• PC.F-SS.B.1 Describe how quantities change together in a parametric function.
• PC.F-SS.B.2 Graph conics with implicit and parametric functions.
• PC.F-SS.B.3 Describe an object's motion with vectors.
• PC.F-SS.B.4 Describe how a transformation matrix changes a graph.
• PC.F-SS.B.5 Model change in context with matrices.