C: Mathematics Courses
Algebra I:
Is the first course in a five-year sequence of college preparatory mathematics courses that starts with Algebra I and continues through Calculus. It aims to deepen and extend student understanding built in previous courses by focusing on developing fluency with solving linear equations, inequalities, and systems. These skills are extended to solving quadratic equations, exploring linear, quadratic, and exponential functions graphically, numerically, symbolically, and as sequences, and by using regression techniques to analyze the fit of models to distributions of data.
Geometry:
Is the second course in a five-year sequence of college preparatory mathematics courses that starts with Algebra I and continues through Calculus. It aims to formalize and extend the geometry that students have learned in previous courses. It does this by focusing on establishing triangle congruence criteria using rigid motions and formal constructions and building a formal understanding of similarity based on dilations and proportional reasoning. It also helps students develop the concepts of formal proof, explore the properties of two- and three-dimensional objects, work within the rectangular coordinate system to verify geometric relationships and prove basic theorems about circles. Students also use the language of set theory to compute and interpret probabilities for compound events.
On a daily basis, students in Core Connections Geometry use problem-solving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating rigorous arguments justifying their thinking. Students learn in collaboration with others while sharing information, expertise, and ideas.
*Students must pass Algebra I to be eligible for this course
Algebra II:
Is the third course in a five-year sequence of rigorous college preparatory mathematics courses that starts with Algebra 1 and continues through Calculus. It aims to apply and extend what students have learned in previous courses by focusing on finding connections between multiple representations of functions, transformations of different function families, finding zeros of polynomials and connecting them to graphs and equations of polynomials, modeling periodic phenomena with trigonometry, and understanding the role of randomness and the normal distribution in making statistical conclusions.
*Students must pass Algebra I and Geometry to be eligible for this course
Pre Calculus:
Is the fourth course in a four-year sequence of rigorous college preparatory mathematics courses that starts with Algebra 1 and continues through Calculus. Precalculus encompasses both trigonometry and math analysis. It is the background for the mathematical concepts, problems, issues and techniques that appear in the calculus course. To understand calculus, you should have a background that allows you to use:
- numbers and variables in the context of algebra,
- equations and functions both algebraically and visually, and
- "real world" applications that use functions to relate the quantities involved.
*Students must pass Algebra I and Geometry, and Algebra II (not Data Science) to be eligible for this course