2024-2025 Course Flipbook v2 - Flipbook - 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 real-world 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.
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. Skill
development will be assessed on problem sets as well as projects. Throughout
the year, students practice communication of mathematical ideas through
collaboration and questioning.
MATHEMATICS
PRECALCULUS WITH DATA AND MODELING
