Middle & High School Math Classes at Fusion Academy

Pre-Algebra prepares students for Algebra 1. The course covers five main areas of mathematics: the number system, expressions and equations, functions, geometry, and statistics and probability. Students extend their fundamental knowledge of algebraic concepts to include the concept of a function, and to extrapolate to make predictions using data.

The foundation of math, this course focuses both on computational competency and conceptual understanding with application. Topics include solving, graphing, and describing diverse equations, linear equations and inequalities, systems of equations, exponents and exponential functions, quadratic and polynomial functions, and data analysis.

This course covers all Algebra 1 content over 2 years, providing the time and space for reinforcement without the pressure of completing the content in one year.

Students build on their foundation, comparing commonalities among families of functions including linear, quadratic, polynomial, radical, exponential, logarithmic, rational, and trigonometric functions. Students are introduced to operations with complex numbers, trigonometric identities, and further statistical studies.

This is a high school calculus course that introduces students to basic fundamentals of calculus, including the definition of a limit, a derivative, and integral. The course is focused on both computational fluency and business applications. Students are not expected to memorize most formulas, but are expected to analyze equations and apply formulas correctly, such as integrals and derivatives of linear functions, polynomials, logarithms, fractions, etc. In application, they will explore the concept of optimization, identifying knowns and unknowns, manipulating variables and equations, and ultimately interpreting the solution. Finally, students will study complex computations and applications of integration, including u-substitutions, and volume.

This course introduces students to basic principles in business mathematics. Students interpret and construct graphs and representations for different scenarios like budgets, financial planning, inventory, and data management. Additional topics include calculating wages, government regulations, advertising, and marketing.

Students master concepts including complex numbers, polar coordinates, systems of equations, matrices, and limits. This course prepares students for calculus by providing an introduction to limits and derivatives.

Limits, derivatives, integrals, the meaning of the universe; the applications of calculus are far reaching in fields such as engineering and the sciences. College prep and honors start at the same place (limits and continuity), honors goes deeper and covers more content (Taylor and Maclaurin series); a strong background in Pre-Calculus topics is required.

Students continue to develop basic math skills and explore how mathematics is used in their daily lives. Themes of the course include health and nutrition, shopping, wages and earning money, careers, taxes, buying a home and car, budget, banking, and travel. Assessments primarily consist of simulations of “real world” tasks, such as filling out tax forms, creating budgets, creating spreadsheets, and verbalizing connections made in mathematics.

Students make conjecture about geometric situations and prove, formally and informally, that their conclusion follows logically from a hypothesis. While integrating transformational and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric figures.

IM 1: Integrated Math I is the first course in a 3-year sequence that integrates algebra and geometry topics in the context of real world applications, while deepening numerical manipulation and reasoning skills. Students strengthen their algebra skills, including use of variables, expressions, equations, ratios, proportions, and percentages; they formalize these relationships as functions and graphs, learning to identify and analyze key points. Geometrically, students deepen their understanding of shapes through the study of perimeter, area, and transformations of polygons. Finally, students build on data and statistics primarily through measures of central tendency.

IM 2: The second course in a three-year sequence, Integrated Math 2 emphasizes traditional geometric topics while building algebraic and statistical skills. Students study lines, angles, triangles, polygons, and are introduced to trigonometry, building on their right-triangle studies from the first year. Students use shapes to study ratios and proportions, build reasoning skills through proofs, and strengthen exponent, polynomial, and factoring skills. This course also covers permutations and combinations, randomness, and probability distribution.

IM 3: Integrated Math 3 is the final course in the three-year sequence covering the fundamentals of algebra, geometry, and statistics. Students learn techniques to gather, manipulate, and analyze data. Algebraic concepts include linear equations and inequalities, systems, quadratics, polynomials, and rational, radical, exponential, and logarithmic functions. Students study trigonometric functions more deeply and with an eye for manipulation. Students also cover arithmetic and geometric sequences and series.

Students build on Algebra 2 and trigonometry topics covered in previous classes. This course covers transcendental functions, parametric and polar equations, sequences and series, vectors, matrices, and conic sections. This course adequately prepares students for calculus.

Students use ideas from algebra, geometry, probability, and statistics to solve realistic applied problems. Students build algorithmic, graphical, and technological skills. College prep only in Texas.

A fascinating advanced math course for the student looking to take a break from traditional graphs and functions, and learn to intelligently interpret and discuss data. Students learn how to use data, statistics, and probability to make inferences about populations, as well as the limitations and common pitfalls in data analysis. The formulas can be long and challenging, but the concepts are always rooted in real-world applications.

In this course, students dive deeper into trigonometric functions and periodicity, applying the concepts to real-world situations. This course is a great chance to hone algebraic skills before moving into Pre-Calculus.