Fairview High School
Inventing Quality Work For Students

Pre-Calculus
Essential Outcomes
Fairview High School

Pre-Calculus A

Trigonometric Values

• Understand and apply the relationship between measurements in radians and degrees.

• Solve problems related to linear and angular velocity.

• Define the six trigonometric functions using right triangles and the unit circle.

Trigonometric Graphing

• Define and sketch the graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.

• Find values of inverse trigonometric functions, applying appropriate domain and range restrictions.

• Apply the concepts of trigonometry to solve real-world problems.

Trigonometric Identities and Equations

• Verify trigonometric identities.

• Use trigonometric identities to simplify trigonometric expressions and solve trigonometric equations.

• Understand the Law of Sines and the Law of Cosines to solve problems.

• Apply the concepts of trigonometry to solve real-world problems.

Function Basics

• Use mathematical models to solve real-world problems, draw conclusions, and make predictions.

• Analyze function characteristics.

• Recognize and sketch graphs of 12 basic functions.

• Combine functions algebraically and by functions composition.

• Graph transformations of functions.

Honors Portfolio

• Complete 5 components of the Honors Portfolio.

Pre-Calculus B

Algebraic Functions

• Solve inequalities involving polynomials and rational functions.

• Recognize and apply mathematical models of linear, quadratic, and exponential functions in real-world problems.

Exponentials and Logarithms

• Evaluate exponential expressions.

• Identify and graph exponential and logistic functions.

• Evaluate natural and common logarithms.

• Rewrite logarithmic expressions using product, quotient, power, and change of base rules of logarithms.

• Graph natural and common logarithmic functions.

• Solve exponential, logistical, and logarithmic equations.

• Use exponentials and logarithms to solve real-world problems.

Vectors, Polar Coordinates, and Complex Numbers

• Understand and apply vectors to solve real-world problems.

• Represent complex numbers in both rectangular and polar form.

• Apply equations and graphs of conic sections to solve real-world problems.

Sequences and Series

• Use sigma notation to represent a series.

• Determine whether a series converges or diverges.

• Find the sum of an infinite series that converges.

• Find the sum of an infinite geometric series.

Introduction to Calculus

• Decompose partial functions.

• Apply the limit of a function to find the slope of a line tangent to a curve.

Honors Portfolio

• Complete 5 components of the Honors Portfolio.

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