concepts approachable and accessible for students who are building their foundational math skills. Fundamentals of Integrated Mathematics 2 Full Year (Two Semesters) Prerequisites: Recommendation of Student Support Services Building on the content and skills explored in Fundamentals of Integrated Mathematics 1, students will continue to work on their algebraic skills while also focusing on the geometry topics that are woven throughout the Integrated Math 1 and 2 sequence. The topics of study for this course include: statistics and probability, triangles, quadrilaterals and circles, exponents and roots, functions, linear equations, inequalities and systems. Additionally, the Standards for Mathematical Practices (making sense of problems and persevering in solving them, reasoning abstractly and quantitatively, constructing viable arguments and critiquing the reasoning of others, modeling with mathematics, using appropriate tools strategically, attending to precision, looking for and making use of structure, and looking for and expressing regularity in repeated reasoning) are embedded into the activities and assessments throughout the course. Designed to have a low student to teacher ratio, this course is focused on making arithmetic, algebraic and geometric concepts approachable and accessible for students who are building their foundational math skills. Fundamentals of Integrated Mathematics 3 Full Year (Two Semesters) Prerequisites: Recommendation of Student Support Services Building on the content and skills explored in Fundamentals of Integrated Mathematics 2 students will continue to hone their algebraic skills. Additionally, there will be an introduction to a variety of trigonometry topics. Complex numbers are incorporated into the study of polynomial equations, and exponential, logarithmic, rational, and trigonometric functions are explored in depth. Students will view these topics from algebraic, numeric, and graphic perspectives, and opportunities will be given to draw connections to problems and concepts learned in previous algebra courses. This course is focused on making arithmetic and algebraic concepts approachable and accessible for students who are building their foundational math skills.
Texts and Materials: Graphing calculator; AP Calculus AB Workbook ISBN: 978-1-7923-8868-2
Precalculus Full Year (Two Semesters) Prerequisites: Algebra II/Trigonometry or equivalent OR best-fit mathematical placement The major concepts introduced in Algebra II/ Trigonometry – properties of real and complex numbers; polynomial, rational, exponential, logarithmic and trigonometric functions – are examined and investigated in greater depth. Conic sections, probability, and sequences and series are covered on a cursory level, and emphasis is placed on the connection of mathematical ideas using critical thinking to real-world situations. Students explore the concept of a limit and are introduced to the calculus
Honors Calculus 2 Full Year (Two Semesters) Prerequisite: Calculus Honors or equivalent, successful completion of honors prerequisites OR best-fit mathematical placement This course allows students to continue their study of calculus at an accelerated level. Having learned how to evaluate limits, derivatives, and integrals of single- variable functions, students will continue their study of Calculus by investigating Integration and Accumulation of Change, Differential Equations, Applications of Integration, Parametric Equations, and Infinite Sequences and Series. Texts and Materials: Graphing calculator; AP Calculus BC Workbook ISBN: 978-1-7923-8869-9
operation of differentiation. Materials: Graphing calculator
Statistics Full Year (Two Semesters) Prerequisite: None
Honors Precalculus Full Year (Two Semesters) Prerequisites: Algebra II/Trigonometry or equivalent, successful completion of honors prerequisites OR best-fit mathematical placement This course includes an in-depth examination of coordinate geometry as well as polynomial, exponential, logarithmic and trigonometric functions. Conic sections, vectors, and polar coordinates are introduced and explored. In the second semester, sequences and series are studied as an introduction to the concept of limits, and students will complete the year with a brief look at differential calculus. Throughout the year, graphic solutions to non-routine problems will be explored through the use of the TI-83 or 84 graphing calculator. Materials: graphing calculator; AP Pre Calculus Workbook ISBN: 978-1-7923-8872-9
This course focuses on key statistical concepts and methods including distributions, bias, variance, correlation, sampling, data errors, and central tendency. Students will gain an understanding around the collection, organization, and analysis of data. Upon course completion, students will be able to draw conclusions from data and have the tools to ask appropriate questions when presented with statistical information in various forms. Students interested in careers in mathematics and science-based fields are highly encouraged to take this course. Text: OpenIntro, Naked Statistics Fundamentals of Integrated Mathematics 1 Full Year (Two Semesters) Prerequisites: Recommendation of Student Support Services This course is designed to hone the foundational skills needed to be successful in algebra, geometry, and statistics. Topics include number systems and operations, properties of numbers, proportional thinking, properties and classification of geometric figures, measurement, Pythagorean relationships, data analysis, probability, simplifying and solving algebraic equations, patterns, and functions. Additionally, the Standards for Mathematical Practices (making sense of problems and persevering in solving them, reasoning abstractly and quantitatively, constructing viable arguments and critiquing the reasoning of others, modeling with mathematics, using appropriate tools strategically, attending to precision, looking for and making use of structure, and looking for and expressing regularity in repeated reasoning) are woven into the activities and assessments throughout the course. Designed to have a low student to teacher ratio, this course is focused on making arithmetic and algebraic
Honors Calculus 1 Full Year (Two Semesters)
Prerequisites: Precalculus or equivalent, successful completion of honors prerequisites OR best-fit mathematical placement This course will provide a comprehensive investigation of both differential and integral calculus. Topics of study include limits and continuity, differentiation, integration, and the techniques and applications thereof. Additional topics such as partial fractions and L’Hopital’s Rule will also be introduced, and topics from precalculus — inequalities, functions, trigonometry, and logarithms will be reviewed throughout. The course stresses the importance of critical thinking, and all problems will be approached from algebraic, graphical, and numerical perspectives. Real-world applications to business, engineering, and population growth will be explored, and students will be regularly encouraged to draw their own hypotheses and conjectures, and to speak and write in the language of mathematics in order to justify the veracity of their claims.
2026-2027 ULS Curriculum Guide
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