# Math Curriculum

**Length: Year
Prerequisite: None
Entry Level: 9 (teacher recommendation)**

Algebra Skills will provide students with necessary algebra skills to be success in geometry skills. Topics will include simplifying and factoring algebraic expressions, solving equations graphing lines and solving systems of equations. Students will be expected to complete work in class.

**Length: Year
Prerequisite: None
Entry Level: 9**

This course offers an introduction to solving equations, systems of equations, inequalities, and graphing on the coordinate plane. Topics also include polynomial multiplication, factoring and simplifying rational expressions involving polynomials. Students will use real world applications to develop problem solving skills. They will participate in group work, mathematical explorations, and use computers and graphing calculators where appropriate.

**Length: Year
Prerequisite: Teacher approval & placement test.
Entry Level: 9**

This course includes all of the Algebra 1 topics but will move at a faster pace than regular Algebra 1. Additional topics covered will be a full study of quadratic, radical and rational expressions and functions. It is the expectation that students who take Advanced Algebra will enroll in Math all 4 years of their high school career.

**Length: Year
Prerequisite: Teacher Recommendation
Entry Level: 10**

This course offers an introduction to plane geometry concepts including angles, congruent, polygons, circles, areas, volumes and right triangle congruences. Geometry Skills is designed to teach and strengthen skills in logical reasoning and apply this approach to practical applications. Inductive and deductive reasoning skills are emphasized.

**Length: Year
Prerequisite: Algebra 1 and/or teacher approval
Entry Level: 9**

This course offers an introduction to plane geometry concepts including angles, congruent, polygons, circles, areas, volumes and right triangle trigonometry. Geometry is designed to teach and strengthen skills in logical reasoning and apply this approach to practical applications. The class is based on using discovery to learn geometric concepts. Inductive and deductive reasoning skills are emphasized. Students will also review basic concepts covered in Algebra I. They participate in group work, scientific and mathematical explorations, and use computers and graphing calculators where appropriate

**Length: Year
Prerequisite: Algebra I
Entry Level: 10**

This course offers hands on projects and application of mathematical concepts. One semester will be dedicated to personal finance with an emphasis on the mathematics behind managing money.

**Length: Year
Prerequisite: Algebra 1, Geometry grade of C- and/or teacher approval
Entry Level: 10**

This is a slower paced version of Algebra 2A designed for students who need to refine skills from previous courses as well as meet the math requirements for colleges. Students will review basic algebra skills and then study polynomial, rational, logarithmic and trigonometric functions. Other topics include vectors, sequences and series, conics, permutations, combinations and normal distributions. Students who excel in Algebra 2 may be allowed to enroll in Pre-Calculus if they pass the proficiency exam for Adv. Algebra 2. Student owned graphing calculator highly recommended

**Length: Year
Prerequisite: Algebra 1, Geometry grade of B- or higher and/or teacher approval
Entry Level: 10**

This is a fast paced class designed to prepare students for further study in mathematics with the anticipated goal of enrolling in Pre-Calculus and/or A.P. Calculus. It will also meet the math entrance requirements for colleges. Students will do an in depth study of polynomial, rational, logarithmic and trigonometric functions. Other topics include vectors, sequences and series, conics, permutations, combinations, and normal distributions. This course is an extension of two successful years of Algebra 1 and Geometry. Students will participate in group work, mathematical explorations and will use graphing calculators where appropriate. Student owned graphing calculator highly recommended. **This course is a prerequisite for Precalculus.

**Length: Year
Prerequisite: Algebra 2A- grade of B or higher and/or teacher approval.
Entry Level: 11**

A more detailed analysis of Algebra 2A plus theory of equations, matrices, polar equations and graphs, descriptive statistics, and a complete course in trigonometry. Pre-Calculus covers all essential pre-calculus mathematics with an introduction to limits and the calculus of polynomial functions. Student owned graphing calculator highly recommended.

**Length: 1st Semester
Prerequisite: Algebra 2 or Algebra 2A with grade of C- or higher and/or teacher approval
Entry Level: 11 or 12**

Students will study topics they may have not previously seen in the other math courses, including graph theory, matrices, linear modeling, set theory, probability and some practical application of personal finance. Students will also participate in a practice ACT test and review material for the ACT/SAT will be completed. Student-owned TI-84 or TI-84+ highly recommended.

**Length: 2nd Semester
Prerequisite: Algebra 2 or Algebra 2A with grade of C- or higher and/or teacher approval
Entry Level: 11 or 12**

Students will study the basics of descriptive statistics. This includes requirements of sampling, normal distribution, hypothesis testing, probability and probability distributions. Students will use technology to study statistics through real-life applications. Recommended for many students that plan on attending college. Statistics is a required course for many college majors. Student-owned TI-84 or TI-84+ highly recommended.

**Length: 1 Semester
Prerequisite: Algebra 2 or Algebra 2A with a grade of B- or higher, appropriate score on the MyMathTest assessment, and teacher approval.
Entry Level: 11 or 12**

This course will cover systems on linear equations and matrix algebra including linear programming. An introduction.

**Length: Semester
Prerequisite: Passing grade in Prob. & Linear Math (dual enrollment) with a B- or higher, a score of 50 on the College Algebra portion of the COMPASS Test, and teacher approval.
Entry Level: 11 or 12**

Graphical methods, measures of location and dispersion, probability, commonly used distributions, estimation, and tests of hypotheses through analysis of variance are introduced. Five major probability distributions are discussed: the binomial, normal, student’s t, chi-square, and the F distribution. Students in this course will receive 0.5 credits of high school math and 3 Montana University System credits M115. Tuition costs apply. Student-owned TI-84 or TI-84+ high recommended.

**Length: Year
Prerequisite: Pre-Calculus with grade of B- or higher and/or teacher approval.
Entry Level: 12**

This course consists of the study of derivatives and their applications to be followed by the study of integrals and their applications. Time will also be spent on transcendental functions and conic sections. The use of current technology will be emphasized. Student owned graphing calculator highly recommended.

**Length: Semester
Prerequisite: Algebra 2
Entry Level: 11 or 12**

The goal of JBC is to give students who are interested in exploring computer science an introduction to computational thinking and an understanding of the field: where it has been, where it is now, where it is going, and what careers are possible. Students will appreciate the variety of ways in which computing can improve the human condition and how computational skills can benefit one’s career and life. Students will design and implement short programs in an interpreted language such as Python and understand some of the significant ideas and people that underlie computing’s past, present, and future.