# Mathematics Department

## Our hallmark is individualized math instruction.

### We recognize that no two students learn in exactly the same way.

Whether you are programming a robot, designing a bridge, or competing in the stock market challenge, Math is the fundamental component of so much that goes on at the Einstein School. ## Lower School Mathematics

This course focuses on solving problems involving all for operations with positive rational numbers, determining and generating formulas and solutions to expressions, and extending measurement to area and volume. Students apply place value and identify part-to-whole relationships and equivalence. Students solve problems with expressions and equations, build foundations of functions through patterning, identify print and composite numbers, and use the order of operations. Students classify two dimensional figures, connect geometric attributes to the measures of three-dimensional figures, use units of measurement, and represent location using a coordinate plane.
This course is designed to expand students' knowledge of numbers, numbers operations, computation, proportionality, expressions and equations, geometry, measurement and data, personal financial literacy, as well as the fundamental concepts of algebra. Students prepare for the rigor required in higher math courses through sustained computation practice and problem solving. Students are taught that the process in mathematics is as important as the answer. Students use tools, models, and representations to explore and communicate mathematical ideas.
This course is designed to review, develop, and enrich students' proportional thinking, algebraic reasoning, operations with rational numbers, geometry and spatial reasoning, statistical analysis, and problem solving. With emphasis on process and justification, students learn to evaluate their answers for reasonableness. Throughout the year, students maintain basic computation skills through the computation activities and applications. Other concepts are taught through conceptual learning to draw conclusions, evaluate arguments, and make recommendations. The use of calculator, computer, and cooperative-learning activities are integrated throughout the course.
This course extends mathematical skills learned in previous grades with an emphasis on Algebra readiness, problem solving, and geometric applications. Topics covered include expressions and the number system, which includes real numbers and scientific notation; proportional, non proportional relationships, and functions, which includes linear equations, functions and graphing; expressions, equations, and relationships in geometry including angle measurements in parallel lines and triangles, Pythagorean Theorem, volume and surface area; equations and inequalities including variables on both sides of the equation/inequality along with distributing and combining like terms; transformational geometry witch includes all transformations, dilations, similarity and proportionality; statistics and samples including scatter plots, trend lines and mean absolute deviation and personal finance literacy with an emphasis on simple and compound interest.

## High School Mathematics

This course will emphasize the use of linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology, specifically the graphic calculator, to collect and explore data and analyze statistical relationships. In addition, students will study polynomials of degree one and two, radical expressions, sequences, and laws of exponents. Students will generate and solve linear systems with two equation and two variables and will create new functions through transformations.
This course will build on the knowledge and skills for mathematics and will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. Students will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. Students will use technology, specifically the graphing calculator, to collect and explore data.
This course is taught with a functional approach giving students a sound foundation for either technical or non-technical degrees in college. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study polynomials, logarithmic, square root, cubic, cube root, absolute value, rational functions, and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.
This course is the preparation for calculus. Students will approach topics from a function point of view, where appropriate, and will strengthen and enhance their conceptual understanding and mathematical reasoning when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. The study of Precalculus deepens students' mathematical understanding and fluency with algebra and trigonometry and intends their ability to make connections and pally concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology, specifically the graphing calculator, to build understanding, make connections between representations, and provide support in solving problems.
This course is the most advanced math course offered at the Einstein School. Calculus is taken by students preparing for the rigors of college mathematics. This course intends to give students a solid foundation of the fundamentals of Calculus. Topics are covered in-depth and a comprehensive selection of problems and problem types is encountered.
This course provides a path for students to succeed in Algebra II and prepares them for various post-secondary choices. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphing calculators, data collection devices, and computers; and paper and pencil and from methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems.
This course introduces students to advanced ideas in preparations for post-secondary mathematics. In College Algebra, students will study applications of Polynomial, rational, radical, absolute-value, piecewise defined, exponential and logarithmic functions, equations, inequities, graphing skills and systems of equations using matrices.