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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

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

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.

Algebra 1A (1 credit MTH, Gr. 9-12) Course Number: 3103

This course covers the topics from the first semester of the regular Algebra 1 course, thus providing students an opportunity to study Algebra 1 topics in depth in an extended version. 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, and 2) linear and relationships  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

Algebra 1B  (1 credit MTH, Gr. 9-12) Course Number: 3104

This course covers the topics from the second semester of the regular Algebra 1 course, thus providing students an opportunity to study Algebra 1 topics in depth in an extended version. 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.

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

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.

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

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

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

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.

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

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.

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

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.

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

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

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

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.

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

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.

College Algebra (1 credit MTH, Gr. 11-12, weighted) College Credit Available, Course Number: 3128

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.

Advanced Algebra (0.5 credit MTH, Gr. 11-12) Course Number: 3139

Prerequisite:  Algebra II or Algebra II-B

This course is designed to continue exploration of concepts related to polynomials, functional relationships, rational, radical, exponential, and logarithmic functions to ensure readiness for college and university level algebra courses.

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

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.

12th Grade

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

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.

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

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.

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

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.