## Guiding Principles:

- INNOVATOR-CENTERED. Providing a hands-on environment to explore, invent, discuss, and debate the meaning of math.
- INTEGRATION. Introducing subjects not as a collection of isolated concepts but as an ever-evolving body of interconnected knowledge.
- BUILDING KNOWLEDGE. Using problem-solving approaches to meet Innovators where they are and to develop their thinking and understanding.

**Sparking innovation and nurturing problem-solving skills. **

Our approach integrates real-world applications, hands-on activities, and technology. With a focus on personal growth, students will tackle challenging problems, fostering resilience and logical reasoning at their own speed.

**MIDDLE SCHOOL MATH**

**Foundations of Algebra**

Builds on these concepts and focuses on proportional relationships, rational numbers, variables and equations, basic probability, statistical thinking, and angle relationships.

**Algebra 1**

Delves deeper into algebraic thinking with equations in variables, linear functions and systems, algebraic geometry, exponents and exponential functions, polynomials, and statistical analysis.

**UPPER SCHOOL MATH**

Our integrated math sequence takes a holistic approach to mathematical reasoning. Integrated Math 1, 2, and 3 interweaves Geometry, Algebra 2, and Precalculus (along with introductory statistics) across all three years of study: covering topics such as algebraic manipulation, functions, modeling, geometry, trigonometry, and probability. Electives, such as Calculus, Calculus 2, and Statistics, delve into advanced topics like limits, differentiation, integration, probability, and data analysis. All of our courses emphasize problem-solving, critical thinking, and real-world applications.

## Scope & Sequence

Rational numbers & integers

Writing & graphing linear equations

Advanced factoring & solving

Solving & graphing quadratics

Trigonometric function

Calculus 1

Expressions, equations, inequalities

Systems of equations

Graphing by transformations

Polynomial functions and their graphs

Graphs of sinusoids

Calculus 2

Probability of compound events

Exponents & exponential functions

Points, lines, & planes

Function composition & inverses

Trig functions as models of periodic motion

Statistics

Slope & lines

Polynomial equations & factoring

Parallel & perpendicular lines

Exponential & logarithmic functions & their applications

Proving identities

GOA math electives

Angle relationships and triangles

Pythagorean theorem & application

Translations of geometric shapes

Similarity, right triangle relationships, & proof

Probability models

GOA computer science electives

Data samples, statistical graphs, & analysis

Biased and unbiased sampling & statistics

Statistical measures of shape, center & spread

Compound events, permutations & combinations

Introduction to inference

"Everything around us is math. The world around us is filled with numbers."