# Course Catalog & Resources

## The Metro Learning Experience

At Metro, we are preparing students for life after High School. Our courses are selected to give them the tools they need in the areas of Science, Technology, Engineering, and Mathematics.

- Math

### Integrated Math

Integrated Mathematics is a rigorous course that is designed to prepare students for Pre-Algebra. It includes one year’s worth of middle school mathematics in one semester of instruction. Key topics include computation and problem solving with rational numbers, ratios and proportions, rational numbers on the coordinate plane, algebraic problem-solving, and three-dimensional geometry.

### Pre-Algebra - Middle School

Pre-Algebra is the middle school course that prepares students for success in Algebra I. Students expand on problem-solving with multi-step problems, explaining mathematical reasoning, and improving mathematical language. Students use hands-on and visual aids whenever possible to aid in developing abstract thinking. Key areas of focus include proportional reasoning, percent of increase and decrease, problem-solving with positive and negative rational numbers, probability and statistics, evaluating expressions and equations, and three-dimensional geometry.

### Algebra I - 1 Mathematics Credit

Algebra I is the first in a series of courses preparing students for advanced mathematical concepts. This course is designed to develop algebraic concepts, problem solving and abstract thinking. Students explore algebraic expressions, linear and quadratic equations, functions, polynomials, rational numbers, solve linear equations and inequalities, use proportional reasoning, graph relations and functions, analyze linear equations, factor expressions, simplify radical and rational expressions and solve radical and rations equations. Students apply the concepts of permutations, combinations and factorials.

### Algebra II - 1 Mathematics Credit

Algebra II reviews, expands, and extends student knowledge of the fundamental facts, concepts, and skills of Algebra I. Algebra II focuses on the following concepts: rules of exponents and radicals, operations with polynomials (FOIL, distribute, factor & combine like terms), systems of equations (including quadratic equations), solving matrix/quadratic/rational/radical equations, graphing parabolic, conic functions, and inequalities. Students apply these concepts using a problem-solving approach in real-world settings when appropriate.

### Geometry - 1 Mathematics Credit

In Geometry students explore the characteristics of lines, planes, polygons, circles and three-dimensional figures using inductive and deductive reasoning to solve problems related to these figures. Geometry is explored through visual and analytic methods using tools such as compasses, protractors, straightedges, graphing calculators, computer applications, presentations, project-based learning, and problem-based learning in the form of design challenges. This course reinforces Algebra skills needed in all fields of mathematics. Topics include: an analysis of lines and angles, midpoint and distance, proof and logic, triangles, introduction to trigonometry, polygons, 2-and 3-dimensional formulas in geometry, and circles. Students reinforce and demonstrate their understanding of geometry concepts via unit projects that range from designing city layouts to creating commercials.

### Trigonometry - 1 Mathematics Credit

Trigonometry is an advanced mathematics course that extends algebraic concepts through an analytic and graphic study of radical, rational, polynomial, exponential, circular and logarithmic functions over the complex number system. As well, students are introduced to the concepts of probability and sequences and series. Students also extend their knowledge of right triangle trigonometry to the study of unit circle trigonometry and analytic trigonometry. Finally, students study the structure of trigonometric graphs and trigonometric regression of data.

### Pre-Calculus-1 Mathematics Credit

Pre-Calculus emphasizes analysis of functions and applying problem solving skills. Students model and analyze Pre-Calculus concepts that include: Function analysis and curve sketching (domain, intercepts, asymptotes, end behavior and range); Analytic trigonometry (inverse trig functions and proofs with Trig identities); Vectors, polar coordinates and complex numbers (graphing and operations); Conic sections and parametric equations; Sequence and series; Limits and other calculus-bridging concepts. The graphing calculator serves as a learning tool to help students apply their understanding of the concepts and applications introduced.

### Calculus - 1 Mathematics Credit

Calculus is a high school course that is aligned with a college level Calculus I course. Calculus allows students to work through all of the topics covered in differential Calculus as well as some of those that are covered in Integral Calculus. As part of differential Calculus students limits, explore the idea of “infinity”, derivatives as “rates of change”, and how to apply each of the above to everyday situations. Topics in integral Calculus include anti-derivatives and the idea of an integral as the limit for Riemann sums. Students will disembark from Metro math classes with the conclusion on this course.