2025-26 Course Descriptions - Catalog - Page 11
ANALYTICAL ALGEBRA II
How can we use mathematics to model and make
sense of the world? In Analytical Algebra II, students
are challenged in their mathematical reasoning and
practices. This rigorous course requires students
to demonstrate a theoretical understanding of
different concepts and their real-world applications,
using graphing as a tool to communicate complex
mathematical ideas. How can we model realworld phenomena using tables, graphs, and
equations? How can quadratic functions model
projectiles 昀氀ying through the air? How can we use
regression analysis to predict the cost of tuition?
How can logarithms be used to determine the age
of a fossil? Emphasis is placed on independent
problem-solving and analytical thinking as students
experiment with various functions, including linear,
quadratic, polynomial, rational, logarithmic, and
exponential. Students are challenged to take risks
and experiment to 昀椀nd optimal ways to approach
problems and communicate their thinking
Prerequisite: Geometry
PRECALCULUS WITH DATA AND MODELING
How can patterns and data we 昀椀nd in the world be
used to generate rich and nuanced mathematical
ideas? How can understanding multiple
interpretations and approaches serve to further
enrich our understanding of the building blocks
of statistics or calculus? This course focuses on
deepening students’ understanding and analysis
of functions beyond what is covered in an Algebra
II class. Beginning with a study of sequences and
series, students generate explicit and recursive
functions from patterns and scenarios, then use
these structures to extrapolate and interpolate
patterns and data throughout the year. Students
generate models for linear, quadratic, exponential,
logarithmic, and periodic functions through
applications and data analysis. These models
are used to explore both applied and abstract
problems, including but not limited to career
earnings, compounding interest, cyclical motion
and phenomena, and piecewise functions. Problem
sets along with immersive projects allow students
to develop and showcase their skills. Throughout
the year, students practice communication of
mathematical ideas through collaboration and
questioning.
Prerequisite: Algebra II with Data and Modeling or
department chair approval
Curriculum Guide | 11
