 ## Middle School

The NEIA’s middle school mathematics program’s content strands include ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability.

• Develop an understanding of algebra and functions, geometry and measurement, statistics and probability, and number sense and operations
• Develop skills in problem-solving, reasoning and proof, communication, representations, and connections
• Explore mathematical concepts in ways that help Innovators develop a deep understanding of concepts
• Develop attitudes of confidence, curiosity, persistence, and inventiveness in relation to mathematics
• Improve Innovators’ abilities to solve problems of varying complexity, both independently and collaboratively

Course Offerings

Grade 6 Math focuses on five critical areas: (1) connecting concepts of ratio, rate, and proportion to solve problems; (2) extending the notion of the number system of rational numbers (3) writing, interpreting, and applying expressions and equations; (4) developing understanding of statistical thinking; and (5) reasoning about geometric shapes and their measurements.

Grade 7 Math focuses on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale and geometric constructions, and investigating with two- and three-dimensional shape; and (4) drawing inferences about populations based on samples.

Grade 8 Math focuses on four critical areas: (1) formulating and reasoning about expressions and equations, including modeling the association between bivariate data with linear equations; (2) solving and applying linear equations and systems of linear equations; (3) investigating functions; and (4) analyzing two- and three-dimensional space and figures using geometric concepts and the Pythagorean Theorem.

## Upper School

Integrated Math Sequence: Drawing on the Massachusetts Mathematics Curriculum Framework: Model Integrated Pathway, this three-year integrated math sequence looks deeply at mathematical reasoning as a framework for discovery, exploration, and understanding. The courses build Innovators’ competence in mathematical reasoning: asking probing questions, generalizing patterns, building strong arguments, finding multiple approaches to solving problems, reflecting on the problem-solving process, and communicating clear results.

Innovators will explore mathematics as a cycle: we take problems (sometimes from the real world), abstract them, perform mathematical processes and then apply and communicate our understanding. Each course spirals through the threads of number and quantity, statistics and probability, algebra, geometry, trigonometry, and functions, going deeper and integrating these content domains to help Innovators develop various tools, representations, and ways of thinking mathematically.

Math electives: After completing the integrated math sequence, Innovators may select from a series of electives that may include statistics, calculus, and multivariable calculus.

Course Offerings

Integrated Math I

Prerequisite: Grade 8 Math/Algebra 1 or by placement

Integrated Math I focuses on these six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear, exponential, and quadratic expressions and functions; (4) linear modeling; (5) congruence and right triangle geometry; and (6) apply geometry to the coordinate plane.

Integrated Math II

Prerequisite: Integrated Math I or by placement

Integrated Math II focuses on these six critical areas: (1) parent functions and their transformations; (2) polynomial, rational, and logarithmic functions; (3) conic sections and circles; (4) combinatorics and probability; (5) right triangle trigonometry and establish criteria for similarity of triangles based on dilations and proportional reasoning; and (6) apply geometry proof.

Integrated Math III

Prerequisite: Math II or by placement

In Integrated Math III, Innovators integrate and apply the mathematics they have learned from their earlier courses. This course focuses on five critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) trigonometric functions and their graphs (3) trigonometric identities and proof; (4) vectors, polar coordinates, and parametric equations; and (5) difference quotient and introduction to limits.