# Mathematics & Probability

The math program contributes to our student’s personal growth and academic excellence through a blended learning approach that includes the power of technology with the expertise of our teachers to empower our students to reach their full potential in a supportive and challenging environment.
Our teachers are passionate about mathematics and in helping students to achieve a thorough understanding of the key concepts in math from the beginner to the advanced student. We achieve this through a mix of direct instruction, online learning, and adaptive and personalized challenge. When appropriate, we integrate our instruction with STEEM problems that teach our students how to think creatively and critically. Our program also builds success skills for college, career and life through projects and group learning. Engagement through project based learning improves student understanding of the content at a deeper level, remember and retain information longer and apply what they know to new situations. As our future leaders our students build confidence, learn how to take initiative, work in teams, communicate their ideas effectively and manage themselves more effectively.

Algebra based mathematics program grades 6-9: The scope and sequence at Washington Preparatory School follow an Algebra based curriculum which increases in complexity and continually challenges students to work at their potential as they move through Pre-algebra to Pre-calculus. Students will master number sense, order of operations, graphing, expressions, linear equations and inequalities, relations and functions, trigonometric identities and equations, analytic geometry, probability and statistics, sequences and series, and limits and derivatives. Students will also master Euclidean Geometry at increasing levels of difficulty. Topics include geometry basics, reasoning and proofs, lines and angles, triangles, polygons, circles, transformations, and surface area and volume.

Geometry This course focuses on the theorems of Euclid, with some formal proofs, but an emphasis on the understanding of the concepts and properties of these theorems and an application to numerical and problem solving situations. After the study of triangle properties, students are introduced to the three basic trigonometric ratios and their application to real-life situations. Students work on problems involving two and three-dimensional objects and the calculation of area, surface area, and volume.

The first part of this course focuses on elementary rules of mathematics, building a strong foundation for future mathematics courses. Students focus on solving and graphing linear equations and inequalities, as well as polynomials.

Advanced Geometry The course then transitions to Geometry with a focus on the theorems of Euclid with some formal proofs, but an emphasis on the understanding of the concepts and properties of these theorems and an application to numerical and problem-solving situations. After the study of triangle properties, students are introduced to the three basic trigonometric ratios and their application to real-life situations. Students work on problems involving two and three-dimensional objects and the calculation of area, surface area, and volume.

Algebra II & Trigonometry course allows students to develop an understanding of mathematical concepts and principles and apply their skills to solve problems related to real-world contexts. The curriculum includes algebraic systems of equations and inequalities, sequences and series, direct and inverse variation, statistics, probability, permutations and combinations, and the study of various types of functions

The course concludes with a study of trigonometry, focusing on triangle trigonometry, trigonometric identities, and trigonometric graphs.