Books for Teaching Math

The Maryland College & Career Ready Standards contain the following units of study for Precalculus:

Precalculus:

Precalculus A:

• Use complex numbers in polynomial identities and equations.
• Interpret the structure of expressions.
• Write expressions in equivalent forms to solve problems.
• Understand the relationship between zeroes and factors of polynomials.
• Use polynomial identities to solve problems.
• Rewrite rational expressions.
•  Create equations that describe numbers or relationships.
•  Solve equations and inequalities on one variable.
•  Solve systems of equations.
• Understand the concept of a function and use function notation.
•  Interpret functions that arise in application in terms of context.
•  Analyze functions using different representations.
• Build a function that models a relationship between two quantities.
• Build new functions from existing functions.
• Construct and compare linear, quadratic, and exponential models and solve problems.
•  Extend the domain of trigonometric functions using the unit circle.
•  Model periodic phenomena with trigonometric functions
• Prove and apply trigonometric identities.
• Apply trigonometry to general triangles.
•  Summarize, represent, and interpret data on two categorical and quantitative variables.
• Construct and compare linear, quadratic, and exponential models and solve problems.
•  Interpret expressions for functions in terms of the situation they model.

Precalculus B:

• Perform arithmetic operations with complex numbers.
• Represent Complex Numbers and their operations on the complex plane.
• Represent and model with vector quantities.
•  Perform operations on vectors.
•  Perform operations on matrices and use matrices in applications.
• Write and interpret numerical expressions.
•  Write expressions in equivalent forms to solve problems.
• . Use polynomial identities to solve problems.
• Understand the concept of function and use function notation.
• . Analyze functions using different representations.
•  Build a function that models a relationship between two quantities.
• Understand the concept of function and use function notation.
• Analyze functions using different representations.
•  Interpret the structure of expressions.
• Visualize relationships between two-dimensional and three-dimensional objects.
•  Translate between the geometric description and the equation for a conic section.
• Analyze parametric equations.
• Creating equations that describe numbers or relationships.
•  Polar Coordinates and Polar Equations.