Precalculus

Other Iowa Mathematics sets

• Kindergarten
• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Algebra 1
• Algebra 2
• Calculus
• Geometry
• Statistics and Probability
• Standards for Mathematical Practice: Grades 6–8
• Standards for Mathematical Practices: Grades K–5
• Standards of Mathematical Practice: High School

Understand the concept of a function and its notation.PC.F-PREL.A.1

Identify and graph various functions, including linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions.PC.F-PREL.A.2

Analyze functions by considering domain, range, symmetry, intercepts, and asymptotic behavior.PC.F-PREL.A.3

Perform operations of addition, subtraction, multiplication, division, and composition of functions.PC.F-PREL.A.4

Describe how quantities change with respect to each other.PC.F-PREL.B.1

Understand the behavior of polynomial functions, including end behavior, turning points, and factors. PC.F-PREL.B.2

Perform polynomial long division and synthetic division.PC.F-PREL.B.3

Identify and graph rational functions and analyze their asymptotic behavior and discontinuities.PC.F-PREL.B.4

Solve polynomial and rational equations and inequalities.PC.F-PREL.B.5

Model aspects of scenarios using polynomial and rational functions.PC.F-PREL.B.6

Identify assumptions and limitations of function models.PC.F-PREL.B.7

Define exponential and logarithmic functions and their properties. PC.F-PREL.C.1

Compose exponential and logarithmic functions and find inverses.PC.F-PREL.C.2

Graph exponential and logarithmic functions and understand their transformations.PC.F-PREL.C.3

Solve exponential and logarithmic equations and inequalities.PC.F-PREL.C.4

Apply exponential and logarithmic functions in realworld contexts such as population growth, compound interest, and exponential decay.PC.F-PREL.C.5

Model data sets with exponential functions.PC.F-PREL.C.6

Model scenarios with logarithmic functions.PC.F-PREL.C.7

Define trigonometric functions and their reciprocal functions.PC.F-TF.A.1

Graph trigonometric functions including sine, cosine, tangent, cosecant, secant, and cotangent.PC.F-TF.A.2

Understand the unit circle and use it to define trigonometric values for unique angles.PC.F-TF.A.3

Use inverse trigonometric functions to solve trigonometric equations.PC.F-TF.A.4

Solve trigonometric equations and inequalities and apply trigonometric identities.PC.F-TF.A.5

Model data and scenarios with sinusoidal functions. PC.F-TF.A.6

Graphing functions using polar coordinates.PC.F-TF.A.7

Describe how angles and radii change with respect to each other in a polar graph.PC.F-TF.A.8

Use trigonometric identities to simplify expressions and verify identities.PC.F-TF.B.1

Solve trigonometric equations using algebraic and graphical methods.PC.F-TF.B.2

Apply trigonometric identities to solve problems involving triangles, vectors, and periodic phenomena.PC.F-TF.B.3

Understand the properties of conic sections, including circles, parabolas, ellipses, and hyperbolas. PC.F-AG.A.1

Graph conic sections in standard and general forms. PC.F-AG.A.2

Solve problems involving distance, midpoint, slope, and equations of lines and circles.PC.F-AG.A.3

Use transformations to analyze and graph geometric figures.PC.F-AG.A.4

Define arithmetic and geometric sequences and series.PC.F-SS.A.1

Find the nth term, partial sums, and sums of finite and infinite sequences and series.PC.F-SS.A.2

Apply sequences and series to solve problems in mathematics and other disciplines.PC.F-SS.A.3

Describe how quantities change with respect to each other in a parametric function.PC.F-SS.B.1

Graph conic sections using implicitly defined functions and parametric functions.PC.F-SS.B.2

Use vectors to describe the motion of an object.PC.F-SS.B.3

Describe the impact of a transformation matrix on a graphical object.PC.F-SS.B.4

Model change in a context using matrices. PC.F-SS.B.5