# Core Subject: Mathematics

__Math Support__

**3126A-Essential Math I (0.5 credit ELE, Gr. 9-12)**

**3126B-Essential Math II (0.5 credit MTH, Gr. 9-12)**

**3125A-Essential Math III (0.5 credit ELE, Gr. 9-12)**

**3125B-Essential Math IV (0.5 credit MTH, Gr. 9-12)**

*Enrollment by teacher recommendation only*

Essential Math courses are designed to accompany Algebra I and/or Geometry and will focus on specific mathematical understandings directly related to being successful in high school math and beyond. Classroom instruction will prioritize visual and hands-on models, mental math strategies, and discovering relationships among mathematical ideas. Emphasis will also be placed on strategies to successfully examine mathematical situations in other math classes and the students’ world. Completing two years of this course will result in 1 full math credit that may replace Algebra I along with earning an additional 1 elective credit. Students who complete Essential Math over two years will have successfully demonstrated mastery of algebraic concepts needed to be successful on the Algebra I EOC. Students will take the EOC at the end of Essential Math 4 and may proceed to Geometry.

__9th Grade__

**3105A: Algebra I (1 credit MTH, Gr. 9-12)**

This course deepens and extends the understanding of expressions, equations, and functions studied in middle school math. The focus will be on: 1) relationships between quantities and reasoning with equations, 2) linear and exponential relationships, 3) polynomial expressions and equations, and 4) quadratic functions and modeling. Students will analyze, solve and use functions to model situations. The Mathematical Practice Standards will be applied throughout this course.

__9th and/or 10th Grade__

**3114: Honors Geometry (1 credit MTH, Gr. 9-10, weighted)**

*Prerequisite: Algebra I*

This course formalizes and extends students’ geometric experience from middle school. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving toward formal mathematical arguments. Using rigid transformations early in the course provides a lens for students to explore subsequent geometric concepts. Topics include: 1) congruence, proof, and constructions; 2) similarity, proof, and trigonometry; 3) extending to three dimensions; 4) connecting algebra and geometry through coordinates; and 5) circles with and without coordinates. The Mathematical Practice Standards will be applied throughout this course.

__10th, 11th, and/or 12th Grade__

**3113: Geometry (1 credit MTH, Gr. 10-12)**

*Prerequisite: Algebra I or Essential Math I-IV*

This course formalizes and extends students’ geometric experience from middle school. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving toward formal mathematical arguments. Using rigid transformations early in the course provides a lens for students to explore subsequent geometric concepts. Topics include: 1) congruence, proof, and constructions; 2) similarity, proof, and trigonometry; 3) extending to three dimensions; 4) connecting algebra and geometry through coordinates; and 5) circles with and without coordinates. The Mathematical Practice Standards will be applied throughout this course.

**3115: Algebra II (1 credit MTH, Gr. 10-12)**

*Prerequisite: Geometry (may be taken concurrently if teacher recommended)*

This course builds on the work from Algebra I. Students will extend their repertoire of functions to include polynomials and rational/radical functions. Students will continue to improve their skills in solving equations over the complex numbers and solve exponential functions by using the properties of logarithms. The Mathematical Practice Standards will be applied throughout this course.

**3116: Honors Algebra II (1 credit MTH, Gr. 10-12, weighted)**

*Prerequisite: Geometry (may be taken concurrently if teacher recommended)*

In this course, students will demonstrate deep mathematical understandings through additional projects and assessments in addition to the rigorous requirements of Algebra II. Students will extend their repertoire of functions to include polynomials and rational/radical functions. Students will continue to improve their skills in solving equations over the complex numbers and solve exponential functions by using the properties of logarithms. The Mathematical Practice Standards will be applied throughout this course.

**3115A: Algebra II-A (1 credit MTH, Gr. 10-12)**

*Prerequisite: Geometry*

This course covers the topics from the first semester of the regular Algebra II course, thus providing students an opportunity to study Algebra II topics in depth in an extended version. Students will continue the study of functions started in Algebra I and will focus on polynomials and rational/radical relationships. The complex numbers system will be introduced. Students will use functions to model relationships and determine solutions to problems. The Mathematical Practice Standards will be applied throughout this course.

**3117: Probability and Statistics (0.5 credit MTH, Gr. 10-12)**

*Prerequisite: Algebra I*

This course is designed to interpret categorical and quantitative data, investigate experiment and survey designs, make inferences, and apply the rules of probability. Focus will be placed on real-world problem solving and mathematical situations in context. The Mathematical Practice Standards will be applied throughout this course.

__11th and/or 12th Grade__

**3115B: Algebra II-B (1 credit MTH, Gr. 11-12)**

*Prerequisite: Algebra II-A*

This course covers the topics from the second semester of the regular Algebra II course, thus providing students an opportunity to study Algebra II topics in depth in an extended version. Students will continue the modeling with functions. The students will advance the study by including trigonometric and logarithmic functions. The Mathematical Practice Standards will be applied throughout this course.

**3127: College Algebra (1 credit MTH, Gr. 11-12, weighted) College Credit Available**

*Prerequisite: Algebra II or Honors Algebra II*

College Algebra is a study of various types of equations and inequalities, functions and their inverses, theory of higher degree equations, systems of equations, determinants, logarithms and exponentials, and applications.

**3124: AP Statistics (1 credit MTH, Gr. 11-12, weighted) College Credit by Exam Available**

*Prerequisite: Algebra II or Honors Algebra II*

This course is equivalent to an introductory, non-calculus based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

**3119: Pre-Calculus with Trigonometry (1 credit MTH, Gr. 11-12, weighted) College Credit Available **

*Prerequisite: Algebra II or Honors Algebra II*

Topics covered in this course include defining, evaluating and graphing pre-calculus and trigonometry functions, complex numbers, sequences and series, conic sections, developing trigonometry identities, solving triangles, and polar coordinates.

**3143: Math 150 Pre-Calculus (1 credit MTH, Gr. 12, weighted) College Credit Available**

*Prerequisite: Algebra II or Honors Algebra II; 3.0 or better unweighted GPA;** **concurrent enrollment in Physics; completion of the Calculus Readiness Exam*

This course is a study of various types of algebraic equations and inequalities, functions and their inverses, theory of higher degree polynomial equations, system of equations, determinants, logarithms, exponentials, and applications. A study of trigonometry and pre-calculus functions and their inverses, formulas and identities, conditional equations, radian measure, arc length, angular velocity, function graphing, and solutions of triangles will be measured in this course. *Students must provide their own transportation to MPI.*

**3144: Math 180 Calculus I**** ****(1 credit MTH, Gr. 12, weighted) College Credit Available**

*Prerequisite: Pre-Calculus with Trigonometry; 3.0 or better unweighted GPA; concurrent enrollment in Physics; completion of the Calculus Readiness Exam*

This course is a college-level introduction to Calculus. It covers the topics of functions, graphs, limits and continuity, differentiation, maxima and minima, applications of the derivative, anti-derivatives, and applications of integration. *Students must provide their own transportation to MPI.*

**3145: Math 180/190 Calculus I & II**** ****(1 credit MTH, Gr. 12, weighted) College Credit Available**

*Prerequisite: Pre-Calculus with Trigonometry; 3.0 or better unweighted GPA; concurrent enrollment in Physics; completion of the Calculus Readiness Exam*

For the first semester, this course covers the same material as Math 180 Calculus I described above. The second semester covers the topics of logarithmic functions, inverse Trigonometry & Pre-Calculus functions, more advanced techniques of integration, improper integrals, approximation methods, infinite series, conics, and polar coordinates. *Students must provide their own transportation to MPI.*