Category: Mathematics

Pre-Algebra

Pre-Algebra A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

The goal of Pre-Algebra is to develop fluency with rational numbers, and proportional relationships, and to expand knowledge of irrational numbers. Students will extend their elementary skills and begin to learn algebra concepts that serve as a transition into formal Algebra and Geometry. Students will learn to think flexibly about relationships among fractions, decimals, and percents. Students will learn to recognize and generate equivalent expressions and solve single-variable equations and inequalities. Students will have an introduction to systems of equations, and solve simple systems.  Students will investigate and explore mathematical ideas and develop multiple strategies for analyzing complex situations. Students will analyze situations verbally, numerically, graphically, and symbolically. Students will apply mathematical skills and make meaningful connections to life’s experiences.

Prerequisites:

Students require the minimum of middle school math knowledge within number sense as this course is not designed to provide remedial instruction for middle school topics. Students will draw upon their knowledge of the rational number system  which requires comfort with negative numbers, fractions, and decimals (with and without a calculator).  Students will take a placement test in the first week of the course which will analyze their basic skills. Students who test just below the minimum prerequisites skills will have the opportunity to review the necessary skills within EdReady Montana.  Demonstration of the required  knowledge within 2 weeks will allow students to begin the course material.

Comprehensive Syllabus:  

http://mtda.link/prealgebra

Required Materials:

None

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires the following:

Students will need to submit their unit assignments which will include the steps taken to complete the problems.  The options are either 1)  a printer, and a scanner to print out, complete the assignment and then scan to a folder for submission or 2). working knowledge of the equation generators in programs such as Microsoft Word or free programs such as Openoffice and Chrome.  Students will also need to be able to watch Youtube videos as part of the course.

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: Not available

Lead Teacher:

Dawn Roe, Columbia Falls Junior High, dawn.roe@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Algebra-1

Algebra I A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

This is an introductory course focusing on algebraic concepts and skills and their applications to real life situations. Students are encouraged to think about the geometrical and numerical meaning of what they are doing. Major topics include: linear equations, linear inequalities, ratios, geometric concepts, statistics and probability. Students will be introduced to the technological innovation called the TI-84 graphing calculator and computer software. The graphing calculator is used to solve problems, evaluate expressions, analyze data and visualize algebra.

Prerequisites:

Students should have either passed a pre-algebra course or have sufficient preparation for a high school level Algebra 1 course. This course was not designed to provide remedial instruction in math.

Comprehensive Syllabus:  

http://mtda.link/algebra1ab

Required Materials:

None

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires that students will need to find a means to send some work samples to the instructor. The most common methods are scanning, taking pictures (with a cell phone camera or digital camera) or even faxing. Students will also need a current version of Flash Player.

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: Available

Lead Teacher:

Robyn Nuttall, Missoula County Public Schools, robyn.nuttall@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Geometry-A-B

Geometry A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

Geometry is the study of geometric concepts using Algebra 1 math. Technology [graphing calculators and software programs] is used to explore and demonstrate geometric concepts when appropriate. Visualization skills and modeling are used for plane and three-dimensional objects. Major topics include basic geometric concepts, reasoning and proofs, similarity, right triangles and trigonometry, angles and parallel lines, triangles, quadrilaterals, circles, congruency in terms of rigid motions and similarity transformations, area, surface area, and volume.  Embedded in this course are the 8 mathematical principles as outlined in the Montana Common Core document.

Prerequisites:

Students must have Algebra One skills as well as General Math through the 8th grade.

Comprehensive Syllabus:  

http://mtda.link/geometry

Required Materials:

Students must have access to the following supplies: scientific calculator, proof resources, protractor, compass, tape measure for some project type assignments, index cards, various supplies for projects, access to a camera for some activities, graph paper [optional].

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires that students must have access to Geogebra, which is a free download. Instructions are available in the course. An offline installer is also available. To download students need to go to http://www.geogebra.org/cms/en/download.

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: A & B available

Lead Teacher:

Lynne Rider, Kalispell Middle School, lynne.rider@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Algebra-II-with-Trigonometry

Algebra II with Trigonometry A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

This course will study, model and apply linear, quadratic, logarithmic, exponential and trigonometric functions along with probability and sequences/series. The course is an extension of the graphical, numerical and symbolic aspects of Algebra 1 along with the geometric relationship studied in Geometry. The graphing technology  is used throughout the course. This course also covers the foundations of trigonometry. This is a recommended course for students planning on attending a four-year college.

Prerequisites:

Algebra I, Geometry

Comprehensive Syllabus:  

http://mtda.link/algebra2

Required Materials:

It is recommended that students have a 3 ring binder and hole punch to keep track of notes and completed assignments.  A comprehensive semester exam is given each semester and students are allowed to use notes to complete these.  A scientific calculator will be very helpful.  Graphing assignments can be completed using online graphing tools so a graphing calculator is a tool of personal preference.

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires that students need a means to send digital copies of work to the instructor.  The instructor accepts via scan or photo via scanning or taking a photo of work and then emailing it to themselves, followed by uploading the file to the proper assignment dropbox.

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: Not available

Lead Teacher:

Erika Brekhus, Havre High School, erika.brekhus.teacher@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Pre-Calculus

Pre-Calculus A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

Pre-Calculus is available for Dual Credit from University of Montana-Missoula College. Dual credit requires a separate registration with UM-Missoula College and fees and tuition paid to that institution.  Dual credit is only available to students that take the full-year course.

This course brings together and extends the concepts of Algebra 1, Geometry and Algebra 2/Trigonometry including the study of functions (polynomial, rational, logarithmic, trigonometric and exponential), analytic geometry, vectors and an introduction to limits/derivatives. Successful completion of this course prepares students for AP Calculus.

Prerequisites:

Algebra 1, Geometry, Algebra 2 or course equivalents

Comprehensive Syllabus:  

http://mtda.link/precalculus

Required Materials:

Textbook: Demana et al, Precalculus: Graphical, Numerical, Algebraic 8th edition (eBook), Pearson Education.
This course uses an electronic text which will be provided by Montana Digital Academy.

Calculator: Students will use a physical graphing calculator which student will provide. Graphmatica Software may also be used for students without graphing calculators. This is an optional graphing utility software.

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires MathType software, word processing programs with mathematical figures or the ability to scan and send in written work if either of these softwares are not available.

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available (students may not enter mid-year without instructor permission/MTDA consult)
Summer: Not available

Lead Teacher:

Lori Quinn, Frenchtown High School, lori.quinn@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Intro-to-Statistics

Introduction to Statistics

Course Length:

One semester

Course Description:

Introduction to Statistics is a course designed to introduce the basic concepts, displays, and computations of statistical measures. Topics include: misleading statistics, appropriate displays of data, the rules of probability, normal distributions, standard deviation, z scores, and sampling of the mean. Math level is appropriate for students who have successfully completed Algebra 1 and Geometry.  Basic understanding of and access to Microsoft Excel or Open Office is a requirement.

Prerequisites:

Algebra I and Geometry

Comprehensive Syllabus:  

http://mtda.link/introtostats

Required Materials:

None

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

This specific course requires that the student must have access to Microsoft Excel, OpenOffice or Numbers (Mac) Spreadsheets

Course Availability (subject to resource and teacher availability):

Fall: semester available
Spring: semester available
Summer: not available

Lead Teacher:

Erika Brekhus, Havre High School, erika.brekhus.teacher@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

AP-Calculus

AP® Calculus A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

AP Calculus AB is a college-level course that prepares students for the AP Calculus AB exam. Before studying calculus, all students should complete four years of secondary mathematics designed for college-bound students. Students will demonstrate learning using multiple methods; analytic, algebraic, numerical, graphical, and verbal. Students must be familiar with the properties of functions, the algebra of functions and the graphs of functions. Students must also understand the language of functions and know the values of the trigonometric functions of the numbers 0, pi/6, pi/4, pi/3, pi/2 and their multiples. Explorations are used to actively involve students in the understanding of calculus and solve problems by developing math models, solve, confirm, and interpret the solution then communicating their understanding by verbalizing and in written sentences. Multiple methods are used to represent problems often times emphasizing the connection among these representations.

Prerequisites:

Pre-Calculus Recommended

Comprehensive Syllabus:  

AP Calculus AB Public Syllabus

Required Materials:

Graphing calculator

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: Not available
Course is not available to join at semester without permission from MTDA Curriculum Director and Instructor.

Lead Teacher:

Anthony Lapke, Glacier High School, anthony.lapke@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

AP-Statistics

AP® Statistics A & B

Course Length:

Two one-semester courses (students must independently register for each semester)

Course Description:

This course is designed to provide college-level instruction on the concepts and tools for working with data. Students collect and analyze data and draw conclusions based on real-world information. The course challenges students to explore patterns, think critically, use a variety of tools and methods, and report their findings and conclusions.

Access the site link below to view the PDF of the course description from the College Board:
http://apcentral.collegeboard.com/apc/public/repository/ap-statistics-course-description.pdf

Prerequisites:

Algebra II

Comprehensive Syllabus:  

http://mtda.link/apstatistics

Required Materials:

graphing calculator
USB cord
Microsoft Excel

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

Course Availability (subject to resource and teacher availability):

Fall: A semester available
Spring: B semester available
Summer: Not available
Course is not available to join at semester without permission from MTDA Curriculum Director and Instructor.

Lead Teacher:

April Senger, Paris Gibson Education Center, april.senger@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Contemporary-Math

Contemporary Math (Dual Credit; M105)

Course Length:

One-Semester Course

Course Description:

This course is a dual credit course offered in cooperation with our partner, Helena College.  A separate application to Helena College is required.

This course is designed to meet the general education mathematics requirement for the liberal arts major. It surveys some of the important ideas and practical applications in mathematics and uses algebra skills to solve real problems. Topics include problem-solving, financial math, mathematical modeling (linear and quadratic), and elementary statistics.

This course is available for dual credit only.  Students may not take this course without the college credit component.  Students that neglect to apply or don’t qualify for Helena College credit will be dropped from the course.

Prerequisites:

This course typically required a minimum placement score of 20 on the math section of the ACT, 490 on the math section of SAT, or Accuplacer exam administered by Helena College.  For the Fall 2020 and Spring 2021 terms only, those requirements have been waived.  However, a special math placement form must be completed and returned with registration materials.  The link to that form is here: LINK.

16 years of age, Junior in High School or waiver approved by Helena College.

Comprehensive Syllabus:  

Contemporary Math (Dual Credit) Public Syllabus

Required Materials:

None

Specific Technical/Software Requirements in Addition to General Requirements:

Please review the general original credit software requirements at http://mtda.link/techreq

Course Availability (subject to resource and teacher availability):

Fall: semester available
Spring: semester available

Lead Teacher:

Nancy Bailey, Helena School Districtnancy.bailey@montanadigitalacademy.org

PLEASE SEE YOUR LOCAL COUNSELOR TO REGISTER FOR MTDA COURSES

Montana Digital Academy
Phyllis J. Washington College of Education
The University of Montana
32 Campus Drive – Room 315
Missoula, Montana 59812
Phone: 406-203-1812
Fax: 406-203-1815

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