Prerequisites:  Algebra 1, Honors Algebra 1

Length: Year

Description:
For the first several units, students practice generating conjectures and observations.

Students build on their middle school study of transformations of figures. Students use transformation-based definitions of congruence and similarity, allowing them to rigorously prove the triangle congruence and similarity theorems. Students extend their understanding of similarity when they study right triangle trigonometry, which in future courses will be expanded into a study of periodic functions.

Next, students derive volume formulas. They connect ideas from algebra and geometry through coordinate geometry, reviewing theorems and skills from prior units using the structure of the coordinate plane. They use transformations and the Pythagorean Theorem to build equations of circles, parabolas, parallel lines, and perpendicular lines from definitions, and they link transformations to the concept of functions.  Students analyze relationships between segments and angles in circles and develop the concept of radian measure for angles, which will be built upon in subsequent courses. 

Prerequisites:  Geometry, Honors Geometry

Length: Year

Description: 

This second year of algebra builds upon the concepts of the first year of algebra by reviewing, clarifying, and extending the use of these skills to more complex applications. Topics include: sequences, functions, polynomials, rational functions, complex numbers, rational exponents, exponential functions, equations, transformations of functions, trig functions, and statistical inferences. 

Prerequisites:  Algebra II or Honors Algebra II

Length: Year

Description: 

The Quantitative Reasoning (QR) course is a fourth-year launch course designed to be an alternative to Pre-Calculus or Introduction to Data Science that prepares students for entry to and success in credit-bearing postsecondary mathematics courses. Students extend their study of mathematical ideas in the context of real-world problems and decision making through the analysis of information, modeling change, and mathematical relationships. Reasoning and modeling are central to the course, with students applying them to numerical reasoning, statistical analysis, financial mathematics, geometry, trigonometry, and topics in discrete mathematics. Content is grounded in real-life decision making, making the course more accessible to more students. 

Prerequisites:  Algebra II or Honors Algebra II

Length: Year

Description:

Introduction to Data Science (IDS) teaches students to reason with, and think critically about, data in all forms. IDS introduces students to fundamental notions of data analysis, such as distribution and multivariate associations and emphasizes creating and interpreting visualizations of real-world processes as captured by data. Students use numerical summaries to describe distributions and introduces probability through the lens of computer simulations for informal inference. IDS prepares students to learn about various ways of collecting data and the effect that data collection has on their interpretation of the patterns they discover. Students learn to make and how to use mathematical and statistical models to predict future observations and how data scientists measure the success of these predictions.

Prerequisites:  Honors Algebra II or Algebra II

Length: Year

Description:

In AP Precalculus, students explore everyday situations using mathematical tools and lenses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an ever-changing world. AP Precalculus prepares students for other higher-level mathematics and science courses. The framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science. Units include Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric and Polar Functions, and Functions Involving Parameters, Vectors, and Matrices.

Prerequisites:  Algebra II AND 85 on the Accuplacer or 19 on ACT Math

Length: Semester

Description:

To better understand the events around us, we can apply probability and statistical methods. Probability investigates how likely it is for some event to happen. Statistics involves collecting data and making sense of it. Many businesses and professions make great use of these methods. Students will earn three hours of Hawkeye Community College credit for successful completion of this course.

Prerequisites:  Algebra II or Honors Algebra II

Length: Year

Description:

This college-level class is designed to prepare students for the Advanced Placement Exam in Statistics. AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course consists of a year of work in statistics that is comparable to a one-semester introductory college statistics course. Students are exposed to four broad conceptual themes: 1. Exploring Data: Observing patterns and departures from data. 2. Planning a Study: Deciding what and how to measure. 3. Anticipating Patterns: Producing models using probability and simulation. 4. Statistical Inference: Confirming models. Students will earn three hours of Hawkeye Community College credit for successful completion of the second semester of the course. 

Prerequisites:  Honors Pre-Calculus

Length: Year

Description:

Students who successfully complete this course will have a solid foundation in the study of calculus. This course covers the three Big Ideas: Limits, Derivatives, Integrals (Fundamental Theorem of Calculus). Successful completion of this course with a score of 4-5 on the A.P. Central Exam may yield a college credit for Calculus I. A grade of B or higher on prerequisite courses is highly recommended due to the pace and rigor of the curriculum.

Prerequisites:  Honors Pre-Calculus

Length: Year

Description:

Students who successfully complete this course will have a solid foundation in the study of calculus. The curriculum is equivalent to a college first-semester calculus course (similar to AP Calculus AB) to include that of the subsequent single-variable calculus course. This course covers the four Big Ideas: Limits, Derivatives, Integrals (Fundamental Theorem of Calculus), and Series. Successful completion of this course with a score of 4-5 on the A.P. Central Exam may yield a college credit for Calculus I & II. A grade of B or higher on prerequisite courses is highly recommended due to the pace and rigor of the curriculum.