Math Course Descriptions

CORE 

Algebra 1 (1 credit) UC

This course is our gateway to higher mathematics, laying the foundation for all other courses to follow. Beginning with describing what numbers mean and the language of mathematics, we journey into solving expressions and equations with and without variables; working with exponents and radicals; building, graphing, and solving linear equations; learning functional notation and the language of functions; and translating real-world questions and word problems into mathematical expressions and equations. Mastery of Algebra 1 is essential for success in every math class taken thereafter. 

Geometry (1 credit) UC

This course guides students to logically develop the structure of Euclidean geometry and apply the resulting definitions, theorems, proofs, and formulas to meaningful problems. We use experimentation, inductive reasoning, and tools including compass and straightedge to construct geometric concepts, discover geometric relationships, and formulate conjectures. Students employ deductive logic to construct formal logical arguments and proofs. Students apply mathematical skills and organizational techniques to make meaningful connections to life’s experiences. In the spring, students apply geometrical concepts to build structures – including bike racks, geometric sculptures, folding benches, a geodesic dome, and scooters – using Midland's land and natural materials.  

Algebra 2 (1 credit) UC

This course builds on algebraic and geometric concepts. It helps students develop and refine algebra skills learned in Algebra 1 – including advanced systems of equations; nth degree polynomials; inequalities; imaginary and complex numbers; quadratic, logarithmic, and exponential functions; and begins the study of trigonometric functions – to prepare them for Precalculus. The course also explores matrices and their properties. Continued emphasis is placed on organizational methods in both written expression and the cumulative organization of their class work.  

Algebra 2 Accelerated (1 credit) UC

This course covers all the same material as Algebra 2 but adds an additional chapter on trigonometric applications to better support the transition into Precalculus. Due to the additional material on vectors, polar coordinates, complex numbers, and trigonometric equations, the course moves at a faster pace and is a prerequisite for Precalculus and the Calculus series.  

 

ELECTIVES

Pre-calculus (1 credit) UC

This course is designed to deepen and expand on material from previous math classes while directly preparing students for a variety of future courses. An emphasis is placed on problem-solving strategies with regard to logarithmic and trigonometric functions. In addition, we focus on how to interpret material presented graphically and verbally. The course encourages students to make connections between mathematics and the world with real-world examples to which they apply their developing techniques and skill set.  

Calculus 1 (1 credit) UC

This course is designed to develop students’ knowledge and understanding of the concepts of calculus by providing a strong foundation of basic skills as well as diverse applications of its methods. Calculus arose from an attempt to develop mathematical techniques that could more aptly describe and predict a physical world filled with constant change. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. This course is self-paced and utilizes online material in order to develop the skills of an independent, life-long learner.

Honors Calculus 1 (1 credit) UC

This course covers all the material of Calculus 1 but moves at a faster pace. The AP Calculus AB exam is a goal for every student in Honors Calculus. This course is self-paced and utilizes online material in order to develop the skills of an independent, life-long learner.

Calculus 2 (1 credit) UC, Midland Honors

This course is designed to strengthen students’ understanding of calculus with advanced calculus problem-solving skills. In particular, students learn new methods to integrate and apply these techniques. Students develop a better understanding of limits, sequences and series, and differential equations. Calculus 2 encourages self-discovery of advanced concepts – through application – as well as fluency in the terminology, which allows students to apply the material independently to problems at hand.  Students in Calculus 2 prepare for the AP Calculus BC exam at the end of the year through example problems and practice exams. This course is self-paced and utilizes online material in order to develop the skills of an independent, life-long learner.

Statistics (1 credit) UC

This course is designed to acquaint students with the theory and practice of statistics, with a primary emphasis on concepts over calculation. Students explore how data is produced, organized, and presented as well as basic probability theory and how to draw inferences of a population from a sample. At the end of the course, students are better able to appreciate the omnipresent nature of statistics in our world, and more importantly, to evaluate statistical claims. The course lays the groundwork for future study at a more advanced level.

 
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