Intermediate Algebra with Statistics continues the study of linear functions begun in Middle School Algebra and moves on to the study of other functions, including quadratic, polynomial, rational and exponential. Functions will be represented with symbols, verbal descriptions, graphs and tables. Students will model real-world situations using functions and solve problems arising from these situations. Students will also study probability and data analysis.

# Mathematics

## Standards, Assessments, and Graduation Requirements

The Minnesota K-12 Academic Standards in Mathematics were revised in 2007, with full implementation by the 2010-11 school year. Though the math standards were scheduled to be reviewed again during the 2015-16 school year, the review has been postponed. As passed in the spring 2015 first special legislative session, according to Chapter 3, H.F. 1, the math standards review has been postponed until 2021-22.

Middle School to High School Pathway

Geometry develops your formal and informal reasoning. Geometry and trigonometry develops your visual thinking and your ability to construct, reason with, interpret and apply mathematical models of patterns in two and three dimensions.

Review what you learned in Intermediate Algebra with Stats and further extend your knowledge of algebra concepts. Topics include: equations, linear relations, systems of equations, parabolas, quadratic equations, powers and roots, exponents and logarithms, trigonometry and polynomials, data displays, standard deviation and normal distribution, and probability.

This course consists of a review of the principles and ideas of algebra and the extension of these concepts. Some of the topics include formulas, inequalities, variations, graphs, linear relations, systems of equations, parabolas and quadratic equations, functions, powers and roots, exponents and logarithms, trigonometry and polynomials. Projects are used to enrich comprehension and there is a strong emphasis on application to prepare students for the rigor, language and focus of IB math.**Materials: Scientific or Graphing calculator and graphing notebook recommended.*

This course is designed to enhance students’ algebraic understanding and preparation for college level mathematics or to help prepare students for Pre-Calculus. This course examines but is not limited to topics such as graphing functions, manipulating expressions and solving equations through a variety of methods.

This course is designed to enhance students’ algebraic understanding and mathematical confidence. This course examines but is not limited to: trigonometry, functions (polynomial, rational, logarithmic) an in-depth study of high-level symbolic manipulation. This class also carries and underlying theme to prepare students for the ACT and for college courses.

This course prepares students for college level mathematics and the ACT and Accuplacer exams. Topics of study include, but are not limited to: use of a graphing calculator, linear, quadratic, polynomial functions; probability, exponential and logarithmic functions, trigonometry; statistics.

This course is designed to prepare students for the challenges of pre-calculus or college level algebra. In this class, students will go beyond the trigonometry concepts covered in Algebra 2. Students will cover right angle and non right angle trigonometry concepts, the unit circle, radians, area and lengths of sectors, fundamental trig identities, solving trig functions and being able to graph trigonometric functions.

This course is designed to enhance students’ understanding of probability and statistics in preparation for college level applied statistics or Advanced Placement Statistics. This course examines topics such as probability, correlation and regression and normal curves.

You will be introduced to statistics in this non-calculus based course. Learn four broad conceptual themes: exploring data, planning a study, producing models using probability simulation, and using statistical inferences. Materials: TI-83, TI-84, or other calculator with statistical capabilities.

Be prepared for college or AP Calculus. Examine real numbers, polynomial and rational functions, exponential and logarithmic functions, and trigonometric and circular function. You will cover vectors, systems of equations and inequalities, matrices and polar coordinates.

This Advanced Placement course gives you the equivalent of your first semester of college calculus. You will concentrate on analytic geometry, limits, the derivative, differentiation and the applications of the derivative, the integral, numerical integration, derivatives and integrals of transcendental functions, and the application of integration.

This Advanced Placement course addresses second semester college calculus. You will learn advanced integration techniques with an emphasis on application, and you work on series and sequences. If you take this course, you will be expected to take the advanced placement exam, which is given in May.

This course is approximately equivalent to a college algebra and trigonometry course. Areas of concentration include: Tri 1: Linear, polynomial, and rational functions and their graphs; Tri 2: Exponential, logarithmic and trigonometric functions and their graphs; Tri 3: Trigonometric identities, probability and statistics, and introduction to vectors, begin the IB SL internal assessment. This course prepares students for IB SL 2, Calculus AB or AP Statistics.**It is recommended that sophomores register for and take IB SL 2 as juniors, and IB HL 2 or AP Statistics as seniors.*

Areas of concentration for this course will include vectors, analytic geometry, limits and differentiation. Introduction of the integral, numerical integration and an introduction to derivatives and integrals of the transcendental functions. Students will be prepared to take the IB SL exam, AP Calculus AB exam and enroll in IB HL 2 the following year. The IB SL Internal Assessment (IA) paper will be completed in this course.

This course is approximately equivalent to the second semester of college Calculus. Areas of emphasis will include advanced integration techniques, series, sequences and how they relate to the Taylor Polynomial. Derivatives and integrals of parametric and polar equations will also be covered. Students will be prepared to take the IB HL exam and the AP Calculus BC exam. Following the exam the students will study vectors.

Mathematical Studies is designed for students who come from a variety of backgrounds and differentiated abilities. This course is intended for students who plan to pursue studies outside the areas of mathematics and science. Students will enter the course with successful completion of Intermediate Algebra I, Geometry and Algebra II. Students will complete the project and take practice exams in preparation for the IB exam in May of senior year. Tri 1: One and two variable statistics, sequences and series of numbers, and financial mathematics, working on the internal assessment. Tri 2: Right triangle trigonometry, sine and cosine rules, sets and Venn diagrams, probability and quadratic algebra and its applications. Tri 3: Introduction to calculus and applications of calculus and logic, and preparation for the IB Math Studies Exam. This course prepares students for IB SL 1.

This course is for students preparing for the IB Higher Level Calculus course. Students will examine real numbers, polynomial and rational functions, exponential logarithmic functions, trigonometric and circular function. Topics include vectors, systems of equations and inequalities, matrices, and polar coordinates. The IB Internal Assessment paper will start in the course.

*Materials: Graphing calculator

Students are introduced to the art of mathematical prediction through algebraic modeling and elementary probability theory. The course covers techniques of representing the behavior of real-world data with algebraic equations, including linear, polynomial, exponential and logarithmic functions. Students also learn basic probability theory including counting methods and conditional probability. The course emphasizes the use of traditional algebraic methods and technologies such as graphing calculators and Excel spreadsheets to find equations that accurately represent the behavior of real-world data. There are several modeling assignments throughout the semester in which students develop mathematical strategies for solving realistic problems. This course is appropriate for students who are committed to pursuing college majors or careers in math or science, but are unsure of their math, writing or science skills. It is also appropriate for students who are certain that they do not want to pursue college majors or careers in math or science.**Possible University of Minnesota credit is available.*