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Integrated Mathematics I - IV (offered every trimester)

Integrated Math is a highly individualized program in which students work together with a small group of similarly situated peers to progress through material typically included in Algebra I, Geometry, and Algebra II. Groups work through content in modules, which cover a coherent set of topics and are assessed as a self-contained unit. Students move forward to the next module when they have demonstrated thorough mastery of the learning objectives, and the path through modules is personalized to each student. Once a term, students pause their self-paced progress to tackle a collaborative learning module as a class. All 9th graders are enrolled in Integrated Math, and students may remain in Integrated Math for as little as one year or as many as four, with two trimesters of study per year. Once students have demonstrated mastery of the essential modules, they are eligible to register for upper level mathematics courses.

Statistical & Data Literacy (1 trimester)

In order to fully participate in adult civic life, it’s essential to know how to objectively interpret data and assess the validity of statistical claims. Students in this course learn methods of collecting, collating, and analyzing data without introducing bias, as well as strategies for identifying possible sources of bias in studies done by others. Students also begin to investigate the concept of statistical inference, which is the process of quantifying the strength of evidence in support of a particular conclusion. A wide variety of learning modalities are used, including hands-on data collection, media review, computational modeling, and pencil-and-paper calculations.

Pre-calculus with Trigonometry (1 trimester)

This course marks the transition between intermediate and advanced mathematics, Each pre-calculus student is challenged to deepen her ability to apply a wide variety of previously learned algebraic and geometric concepts to increasingly complex settings. These settings are primarily in the content area of trigonometry, but students also synthesize prior knowledge through applications in vectors, 3D coordinate geometry, and parametric equations.

Calculus 1 (2 trimesters)

Calculus is the study of rates of change, and the “Laws of Nature” are, in truth, differential equations. In this course, real-world problems are presented to students which compel the development of new concepts, tools or techniques in single-variable calculus. Concepts related to limits, derivatives and integrals are explored and understood through contextualized applications such as optimization, related rates of change, and differential equations. Students deepen their skills in mathematical problem solving using a broad range of numerical, graphical, and algebraic analyses.

Computational Thinking (1 trimester)

Together with Integrated Math, this course is an element of the 9th grade CompCORE program. In this course, HATCH students learn about processes, tools, and habits of mind that support quantitative reasoning. Using tools such as spreadsheets, Python, and C2STEM models students will explore the key concepts of algorithm, decomposition, abstraction, and patterning in contexts which provide insight on the problems students are investigating in their other CORE classes.

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