## About the Math Department

TSA is not just about the arts, but also a strong focus on ensuring that our students receive a solid education in the core subjects all schools need to teach. Our Math Department has a lot of knowledge to share. Students taking these classes learn everything from the number system to calculus.

## Course Descriptions

### Math by Grade

6th grade math includes the following:

- Ratios and Proportional Relationships: Understand ratio concepts and use ratio reasoning to solve problems.
- The Number System: Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Compute fluently with multi-digit numbers and find common factors and multiples. Apply and extend previous understandings of numbers to the system of rational numbers.
- Expressions and Equations: Apply and extend previous understandings of arithmetic to algebraic expressions. Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables.
- Geometry: Solve real-world and mathematical problems involving area, surface area, and volume.
- Statistics and Probability: Develop understanding of statistical variability. Summarize and describe distributions.

Prerequisite: Successful completion of 5th grade math curriculum.

7th Grade Integrated Mathematics focuses on the use of proportional reasoning and integers in order to conceptually understand the basic Algebra and Geometry skills students will be exposed to in 8th grade. The areas of focus in this course are: expressions and equations, basics of the number system, functions, geometry and statistics/probability. Students successful in this course will be recommended for 8th Grade Integrated Mathematics the following year.

Prerequisite: Successful completion of 6th Grade Math

8th grade integrated mathematics is a course designed to follow the common core curriculum and incorporate the introduction of Algebra 1 and Geometry concepts. Success in this course will allow students to be ready to take Algebra 1 during their freshman year of high school.

Prerequisite: Successful completion of 7th Grade Integrated Mathematics

### Calculus

Pre-calculus is a continuation of topics covered in Algebra 2, including trigonometry, polynomials, functions and their inverses, equations, and complex numbers. New topics include conic sections and polar graphs, matrices, and statistics. The course concludes with an introduction to calculus through sequences, limits, and derivatives.

Prerequisite: Must receive a grade of a C or higher in Algebra 2

This course provides a study of differential and integral calculus with the emphasis on problem solving and deductive development of the concepts used. A graphing calculator is required.

Prerequisite: Must receive a grade of a C or higher in Pre-Calculus

### Algebra

Students will develop formal algebraic skills and concepts necessary to succeed in advanced courses. This includes calculations within the real number system and solving complex algebra problems with applications in fields other than mathematics. Students will study linear equations, systems of equations, inequalities, exponential equations, and quadratic equations and their graphical representations and relationships in this course. They will work with exponents, functions, rational expressions, ratios, and proportions. They will learn to think critically and strategically to solve problems that can be applied to real situations.

Prerequisite: Students need to pass their 8th grade mathematics course (pre-algebra) or an equivalent to begin Algebra 1.

Algebra II is a one-‐year course and requires a grade of “D” or higher to graduate high school in the state of Ohio. Algebra 2 provides a review and extension of the concepts taught in Algebra 1. Topics covered will include linear relations and functions, quadratic, polynomial, and radial functions and relations, advanced function and relations, discrete mathematics, and trigonometry.

Prerequisite: Successful completion of Algebra I and Geometry

### Additional Math Courses

A continuation of Algebra I, students will explore basic trigonometry, triangle congruence and similarity, circles and quadrilaterals, reasoning and proof, and modeling with geometry.

Students will also learn basic probability and odds. Students will move from thinking solely algebraically to using spatial reasoning to think geometrically. Language, communication, and reasoning (justification and proof) will be used to problem solve.

Prerequisite: Successful completion of Algebra 1

Math Applications is a one-‐year course and requires a grade of a “D” or higher. College Algebra provides a review and extension of the concepts taught in Algebra II. Topics covered will include a review of basic concepts and skills, equations and inequalities, relations, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, matrices and matrix applications, analytic Geometry and the conic sections, and additional topics in algebra.

Prerequisite: Successful completion of Algebra I, Geometry, and Algebra