Mathematics

Mathematics

We have created our curriculum with the view that growth in the understanding of fundamental mathematical ideas is a continuing and ordered process. We plan course offerings to give students recurring and varied contact with the essential principles, processes, language, and notation of mathematics. Discovery, logic, brainstorming, analogy, and other techniques introduce and reinforce concepts. Regular homework provides students the practice necessary to master the manipulations and notions discussed in class. Computers and graphing calculators are used to facilitate computations after basic skills have been learned. The department aims to adhere to the standards set forth by the National Council of Teachers of Mathematics.

Embedded Honors

Students sometimes don’t recognize their zest for more challenging mathematical thinking until they are actively engaged in deeper problem-solving experiences. With that in mind, our Algebra 1 and Geometry courses offer an opt-in, Honors component for passionate and motivated students to dig deeper. Following the successful completion of basic course requirements, students may choose to pursue additional learning intentions and associated problem sets to expand their experience in Algebra 1 or Geometry. Successful completion of this embedded work, manifest via an Honors portfolio, earns students Honors distinction on their transcript.

Math 5: Foundations in Mathematics 3.0 credits AY 5

In Math 5, students explore complex mathematical operations and apply concepts to real-world problems. Within the course, students will sharpen computational skills, expand facility with fraction and decimal operations, and explore the concepts of ratio, proportion, and percents. Through all of this learning, there is an emphasis on developing number fluency and number sense. By the end of this course, students are ready to begin algebraic investigations, which characterize the middle school mathematics experience.

Math 6: Arithmetic to Algebra 3.0 credits AY 6

This course serves as a bridge from arithmetic to algebra, reviewing foundational mathematics while offering exposure to algebraic concepts. While grappling with these topics, students develop learning strategies to support their investigation of mathematics. Students in this course engage in myriad activities aimed at creating enriching experiences that foster an appreciation for mathematics as well as learning. Upon completion of Math 6, students who demonstrate mastery of the curriculum enroll in Introduction to Algebra. Students who would benefit from additional opportunities to explore Math 6 concepts enroll in Math 7.

Math 7: Strengthening Algebraic Thought 3.0 credits AY 7

This course is a pre-algebra course, the primary purpose of which is to prepare students to begin studying Introduction to Algebra in the following year. Much of the curriculum is dedicated to building both math skills and student confidence. Strengthening basic math skills at a measured pace affords each student the ability to develop confidence in their abilities to execute those skills when they need to be applied to the complex, abstract concepts that they will see in Introduction to Algebra. Throughout the year, great emphasis is placed on the ability to show evidence of logical thinking on the page. Showing work and being clear in responses is an essential aspect of the work.

Introduction to Algebra 3.0 credits AY 6-8

As the course name suggests, this class introduces students to core concepts within algebra. Main topics within Introduction to Algebra include: working with positive and negative numbers, simplifying algebraic expressions, solving equations, graphing linear equations, and solving systems of equations. While exploring these ideas, students develop problem-solving skills, moving away from an algorithmic approach to mathematics. The focus is on understanding rather than memorizing “steps.”

Algebra 1 3.0 credits AY 7-8

Prerequisite: Introduction to Algebra

This course introduces foundational algebraic concepts including linear equations in one and two variables; systems of equations and inequalities; manipulation of monomials, binomials and polynomials; factoring; graphing lines and parabolas; direct and indirect variation; rules of exponents; and rational functions. While exploring these topics, students strengthen their ability to think mathematically and develop mathematical learning strategies. Algebra 1 students engage in interactive, hands on, reflective, observational, analytical, and multimedia activities to create an enriching and fulfilling educational experience and foster an appreciation for mathematics.

(Honors) Geometry 3.0 credits AY 8

Prerequisite: Algebra 1

This course centers around Euclidean geometry on the coordinate plane and also considers geometry in three dimensions. Among other things, we will learn about angles, areas, volumes, circles, triangles, similarity, and basic trigonometry. We will learn how to prove conjectures with logical arguments to support our assertions. When appropriate, this course integrates hands-on activities such as constructions using a compass and straightedge. The embedded honors component of this course emphasizes geometric proof and may include geometry on spherical and hyperbolic surfaces, as well as challenging "puzzle" problems.