Enhanced Advanced Algebra and AP Precalculus: Concepts and Connections

PC Mathematical Practices

PC Mathematical Modeling

AA Data & Statistical Reasoning 

AA Functional & Graphical Reasoning 

AA Patterning & Algebraic Reasoning

PC Patterning & Algebraic Reasoning

PC Functional & Graphical Reasoning

AA Geometric & Spatial Reasoning 

PC Geometric & Spatial Reasoning

PC Algebraic & Geometric Reasoning

Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.

Apply mathematics to real-life situations; model real-life phenomena using mathematics.

Communicate descriptive and inferential statistics by collecting, critiquing, analyzing, and interpreting real-world data.

Explore and analyze structures and patterns for exponential and logarithmic functions and use exponential and logarithmic expressions, equations, and functions to model real-life phenomena.

Explore and analyze structures and patterns for radical functions and use radical expressions, equations, and functions to model real-life phenomena.

Extend exploration of quadratic solutions to include real and non-real numbers and explore how these numbers behave under familiar operations and within real-world situations; create polynomial expressions, solve polynomial equations, graph polynomial functions, and model real-world phenomena.

Analyze the behaviors of rational functions to model applicable, mathematical problems.

Represent data with matrices, perform mathematical operations, and solve systems of linear equations leading to real-world linear programming applications.

Demonstrate how sequences and series apply to mathematical models in real-life situations.

Analyze the behaviors of rational and piecewise functions to model contextual mathematical problems.

Utilize trigonometric expressions to solve problems and model periodic phenomena with trigonometric functions.

Develop an introductory understanding of the unit circle; solve trigonometric equations using the unit circle.

Analyze the behaviors of conic sections and polar equations to model contextual mathematical problems.

Manipulate, prove, and apply trigonometric identities and equations to solve contextual mathematical problems.

Represent and model vector quantities to solve problems in contextual situations.