Math

All courses will utilize technology.  It is highly recommended that students enrolling in Math courses have a graphing calculator (model TI-84 recommended). 

Completion of one of the following math sequences will meet the Minnesota graduation requirements. 

 

COURSE NUMBER

 

COURSE NAME

 

MATH SEQUENCE A 

Start in:

8288

Intermediate Algebra Concepts 1

 

8289

Intermediate Algebra Concepts 2

 

 

 

 

8291

Geometry Concepts 1

 

8292

Geometry Concepts 2

 

 

 

 

8293

Advanced Algebra Concepts 1

 

8294

Advanced Algebra Concepts 2

 

 

 

 

This sequence does not meet NCAA core course requirements

 

MATH SEQUENCE B

Start in:

8309

Intermediate Algebra 1 (Grade 8 or 9)

 

8310

Intermediate Algebra 2 (Grade 8 or 9)

 

 

 

 

8322 / 8323

Geometry 1 and 2            

 

 

 OR

 

5322 / 5323

Honors Geometry 1 and 2

 

 

 

 

8312 / 8313

Advanced Algebra 1 and 2 

 

 

OR

 

5312 / 5313

Honors Advanced Algebra 1 and 2

 

 

 

 

 

 

MATH SUPPORT INTERMEDIATE ALGEBRA

Grade:   9, 10, 11, 12                                                    Credit:  .5

8271 – One Semester        8272 – Additional Semester

 

This course is open to any student wanting additional support to be successful in their math class.  Upon registration, each student will go through a selection process to ensure proper placement.

Students in this course will:

  • Receive ongoing math support to be successful in high school math courses.
  • Work towards mastery of Minnesota’s math standards required for graduation. 
  • Engage in a variety of alternative learning strategies, including one-on-one and small group instruction.  Compass learning, an interactive computer-based program, may also be used to individualize instruction.
  • Increase math study skills.

 This course may be used as credit recovery based upon school counselor review.

This course is based on a credit / no credit grading system.

 MATH SUPPORT GEOMETRY

Grade:   9, 10, 11, 12                                                    Credit:  .5

8273 – One Semester        8274 – Additional Semester 

This course is open to any student wanting additional support to be successful in their math class.  Upon registration, each student will go through a selection process to ensure proper placement.

Students in this course will:

  • Receive ongoing math support to be successful in high school math courses.
  • Work towards mastery of Minnesota’s math standards required for graduation. 
  • Engage in a variety of alternative learning strategies, including one-on-one and small group instruction.  Compass learning, an interactive computer-based program, may also be used to individualize instruction.
  • Increase math study skills.

This course may be used as credit recovery based upon school counselor review.

This course is based on a credit / no credit grading system.

MATH SUPPORT ADVANCED ALGEBRA

Grade:   9, 10, 11, 12                                                    Credit:  .5

8275 – One Semester        8276 – Additional Semester

 

This course is open to any student wanting additional support to be successful in their math class.  Upon registration, each student will go through a selection process to ensure proper placement.

Students in this course will:

  • Receive ongoing math support to be successful in high school math courses.
  • Work towards mastery of Minnesota’s math standards required for graduation. 
  • Engage in a variety of alternative learning strategies, including one-on-one and small group instruction.  Compass learning, an interactive computer-based program, may also be used to individualize instruction.
  • Increase math study skills.

 

This course may be used as credit recovery based upon school counselor review.

This course is based on a credit / no credit grading system.

8288     INTERMEDIATE ALGEBRA CONCEPTS 1

Grade:   9                                                                      Credit:  .5

Note:  This course does not meet NCAA core course requirements

 

Students in this course will:

  • Solve problems involving linear functions.
  • Solve equations and inequalities using symbols and graphs.
  • Simplify and factor polynomials.

8289     INTERMEDIATE ALGEBRA CONCEPTS 2

Grade:   9                                                                      Credit:  .5

Prerequisite:  Intermediate Algebra Concepts 1

Note:  This course does not meet NCAA core course requirements

 

Students in this course will:

  • Simplify radicals and rational expressions.
  • Solve problems involving quadratic and exponential functions.
  • Identify and explain misleading uses of data.
  • Explore quadratic and exponential functions.
  • Display and analyze data to draw conclusions and identify trends.


8309     INTERMEDIATE ALGEBRA 1

Grades:  9                                                                      Credit:  .5

Students in this course will:

  • Solve problems involving linear functions.
  • Factor and compute with polynomials.
  • Use equations and inequalities to represent and solve problems.
  • Solve equations and inequalities using symbols and graphs.

 

8310     INTERMEDIATE ALGEBRA 2

Grades:  9                                                                      Credit:  .5

Prerequisite:  Intermediate Algebra 1

 

Students in this course will:

  • Use data to draw inferences and justify conclusions.
  • Solve problems involving quadratic and exponential functions.
  • Design simple experiments and explain the impact of sampling methods on data collection.
  • Simplify radicals and rational expressions.

 

8291     GEOMETRY CONCEPTS 1

Grade:   10                                                                    Credit:  .5

Prerequisite:  Intermediate Algebra Concepts 2 or Intermediate Algebra 2

Note:  This course does not meet NCAA core course requirements

Students in this course will:

  • Construct geometric figures. 
  • Know and apply properties of geometric figures.
  • Construct logical arguments to justify results.

 

8292     GEOMETRY CONCEPTS 2

Grade:   10                                                                    Credit:  .5

Prerequisite:  Geometry Concepts 1

Note:  This course does not meet NCAA core course requirements

 

Students in this course will:

  • Identify and use translations, reflections, and rotations to solve problems.
  • Find area and volume of geometric figures.
    • Understand and use trigonometric ratios to solve problems.
    • Use algebra to solve geometric problems.
    • Construct logical arguments and write proofs of theorems.

 

8322     GEOMETRY 1

Grades:  9, 10                                                                 Credit: .5

Prerequisite:  Intermediate Algebra 2

 

Students in this course will:

  • Construct geometric figures.
  • Calculate measurements of geometric figures.
  • Apply properties of geometric figures to solve problems.
  • Use axioms, definitions, and theorems to construct logical arguments.
  • Write proofs of theorems involving lines, triangles, quadrilaterals, and circles.
     

8323     GEOMETRY 2

Grades:  9, 10                                                               Credit:  .5

Prerequisite:  Geometry 1

 

Students in this course will:

  • Understand the effect of scale factor on length, area, and volume.
  • Use coordinate geometry to solve problems, including transformations, using algebraic methods.
  • Solve geometric problems, including right triangles and trigonometric ratios, using algebraic methods.

 

5322     HONORS GEOMETRY 1

Grades:  9, 10                                                                Credit:  .5

Prerequisite:  Intermediate Algebra 2

This course may be taken in place of 8321 Geometry 1.  Ninth grade students must meet required criteria of enrollment.  Please see “Academic Enrichment Opportunities” on page 5 for details.  Tenth grade students need teacher approval.

 

Students in this course will:

  • Construct geometric figures.
  • Apply properties of geometric figures to solve problems, including area and volume.
  • Understand the role of axioms, definitions, undefined terms, and postulates in logical arguments.
  • Write proofs of theorems, including proof by contradiction.

 

This course has been developed to challenge highly motivated and capable students in mathematics.  Curriculum will be more rigorous in terms of breadth and depth of materials covered.

 

5323     HONORS GEOMETRY 2

Grades:  9, 10                                                                Credit:  .5

Prerequisite:  Honors Geometry 1

Students in this course will:

  • Use coordinate geometry to solve problems involving right triangles, trigonometric ratios, circles, and transformations, using algebraic methods and justify results.
  • Assess the validity of a logical argument and give counterexamples to disprove a statement.

This course has been developed to challenge highly motivated and capable students in mathematics.  Curriculum will be more rigorous in terms of breadth and depth of materials covered.

 

8293     ADVANCED ALGEBRA CONCEPTS 1

Grade:   11                                                                    Credit:  .5

Prerequisite:  Geometry Concepts 2

Note:  This course does not meet NCAA core course requirements

Students in this course will:

  • Recognize common algebraic functions and represent them with tables, symbols, graphs, and verbal descriptions.
  • Represent relationships in various contexts, including absolute value, quadratic, exponential, and nth root functions.
  • Solve equations and inequalities by graphing and algebraic methods.

 

8294     ADVANCED ALGEBRA CONCEPTS 2

Grade:   11                                                                    Credit:  .5

Prerequisite:  Advanced Algebra Concepts 1

Note:  This course does not meet NCAA core course requirements

Students in this course will:

  • Calculate probabilities by performing simulations or experiments.
  • Solve problems involving quadratic, exponential, and nth root functions.
  • Recognize that a particular solution may not be applicable in the original context.
  • Use probability concepts to solve mathematical and real-world problems.

 

8312     ADVANCED ALGEBRA 1

Grades:  11                                                                    Credit:  .5

Prerequisite:  Geometry 2 

Students in this course will:

  • Represent absolute value and exponential functions using tables, symbols, graphs, and verbal descriptions.
  • Solve problems involving linear, absolute value and quadratic functions.  Interpret results in the original context.
  • Know how to use calculators, graphing utilities or other technology to solve problems involving linear, absolute value and quadratic functions.
  • Use and interpret graphical representations to solve problems.

 

8313     ADVANCED ALGEBRA 2

Grades:  11                                                                    Credit:  .5

Prerequisite:  Advanced Algebra 1

Students in this course will:

  • Represent exponential and nth root functions using tables, symbols, graphs, and verbal descriptions.
  • Solve problems involving quadratic, exponential, and nth root functions.  Interpret results in the original context.
  • Recognize that non-real complex numbers are needed to solve some quadratic equations.
  • Know how to use calculators, graphing utilities or other technology to solve problems involving quadratic, exponential and nth root functions.
  • Use the mean and standard deviation of a data set to fit it to a normal distribution.  Recognize that there are data sets for which such a procedure is not appropriate.
  • Use probability and statistical concepts to solve mathematical and real-world problems.
  • Use and interpret graphical representations to solve problems.

 

5312     HONORS ADVANCED ALGEBRA 1

Grades:  10, 11                                                              Credit:  .5

Prerequisite:  Grade of “B” or higher in Honors Geometry 2 or Geometry 2 and teacher approval.

Students in this course will:

  • Solve problems involving absolute value, quadratic, exponential, and nth root functions symbolically and graphically.  Interpret results in the original context.
  • Know how to use calculators, graphing utilities or other technology to solve problems involving absolute value, exponential, quadratic, and nth root functions.
  • Solve problems involving quadratic equations and inequalities by appropriate methods, including factoring, completing the square, graphing, and the quadratic formula.
  • Extend number systems to include non-real complex numbers to solve quadratic equations with real coefficients.

 This course has been developed to challenge highly motivated and capable students in mathematics.  Curriculum will be more rigorous in terms of breadth and depth of materials covered.

5313     HONORS ADVANCED ALGEBRA 2

Grades:  10, 11                                                              Credit:  .5

Prerequisite: Honors Advanced Algebra 1

Students in this course will:

  • Apply probability concepts such as intersections, unions and complements of events, and conditional probability and independence, to solve problems.
  • Know how to use calculators, graphing utilities or other technology to solve problems involving absolute value, exponential, quadratic, and nth root functions.
  • Use the mean and standard deviation of a data set to fit it to a normal distribution.  Identify data sets for which such a procedure is not appropriate and justify your reasoning.

This course has been developed to challenge highly motivated and capable students in mathematics.  Curriculum will be more rigorous in terms of breadth and depth of materials covered.

8277       MATH SKILLS

                                                                                  Credit:  .5

Enrollment in this class is by referral only.

Students in this course will:

  • Develop math skills necessary to meet the Minnesota GRAD requirement.
  • Course curriculum will be adjusted to meet new state requirements.

Intro to College Algebra is a one semester math course designed to review and extend topics from Advanced Algebra.  This course is a less rigorous alternative to Honors Pre-Calculus and does not meet the prerequisite for AP Calculus.  Students who plan to take AP Calculus in the future should register for Honors Pre-Calculus.

8314     INTRO TO COLLEGE ALGEBRA

Grades:  12                                                                    Credit:  .5

Prerequisite:  Advanced Algebra 2, and teacher approval

Note:  Only those students completing Honors Pre-Calculus will be allowed to take AP Calculus.

Students in this course will:

  • Solve problems involving absolute value, linear, quadratic, exponential, cubic, and logarithmic functions.
  • Solve polynomial equations and inequalities involving rational and radical expressions.
 
  

 

Pre-Calculus is designed to prepare students for future success in college mathematics.  Pre-Calculus is a less rigorous alternative to Honors Pre-Calculus and does not  meet the prerequisite for AP Calculus.  Students who plan to take AP Calculus in the future should register for Honors Pre-Calculus. 

8331     PRE-CALCULUS 1

Grades:  11, 12                                                              Credit:  .5

Prerequisite:  Advanced Algebra 2 or Honors Advanced Algebra 2

 

Students in this course will:

  • Solve equations and analyze graphs involving linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
  • Evaluate functions and find their domains.
  • Identify and graph shifts, reflections, non-rigid transformations of functions.
  • Find inverse functions graphically and algebraically
  • Solve system of equations and inequalities in two or more variables
  • Use matrices and determinants to solve problems.
     

8332     PRE-CALCULUS 2

Grades:  11, 12                                                              Credit:  .5

Prerequisite:  Pre-Calculus 1

 

Students in this course will:

  • Use sequence, factorial, and summation notation to find terms and sums of sequences.
  • Recognize, write, and use arithmetic and geometric sequences to solve problems.
  • Use Fundamental Counting Principle, permutations, and combinations to solve problems
  • Use the Binomial Theorem and Pascal’s Triangle for binomial expansions.
  • Evaluate trigonometric functions for any angle.
  • Use and verify trigonometric identities.
  • Solve trigonometric equations.
  • Use trigonometry functions to model and solve real-world problems.
  • Solve problems involving conic sections.

 

Honors Pre-Calculus is an advanced math course designed for students with a high aptitude in mathematics and is a prerequisite for AP Calculus.  Trigonometry concepts are covered extensively throughout this sequence.

 

5331     HONORS PRE-CALCULUS 1

Grades:  11, 12                                                              Credit:  .5

Prerequisite:  Grade of “B” or higher in Advanced Algebra 2 or Honors Advanced Algebra 2

 

Students in this course will:

  • Solve equations and analyze graphs involving linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
  • Evaluate functions and find their domains.
  • Identify and graph shifts, reflections, non-rigid transformations of functions.
  • Find inverse functions graphically and algebraically
  • Solve system of equations and inequalities in two or more variables
  • Use matrices and determinants to solve problems.

 

5332     HONORS PRE-CALCULUS 2

Grades:  11, 12                                                              Credit:  .5

Prerequisite:  Honors Pre-Calculus 1

 

Students in this course will:

  • Use sequence, factorial, and summation notation to find terms and sums of sequences.
  • Recognize, write, and use arithmetic and geometric sequences to solve problems.
  • Use Fundamental Counting Principle, permutations, and combinations to solve problems
  • Use the Binomial Theorem and Pascal’s Triangle for binomial expansions.
  • Evaluate trigonometric functions for any angle.
  • Use and verify trigonometric identities.
  • Solve trigonometric equations.
  • Use trigonometry functions to model and solve real-world problems.
  • Solve problems involving conic sections.
  • Be introduced to polar coordinates.
  • Use parametric equations to represent curves and motion.
  • Learn techniques for finding a limit.

 

¨ HYBRID COURSE OFFERINGS ¨

 

See page 4 for an explanation of a Hybrid course. 

 

3317     COMPUTER PROGRAMMING 1 HYBRID

Grades:  9, 10, 11, 12                                                    Credit:  .5

Prerequisite: Intermediate Algebra 2

Students in this course will:

  • Identify and differentiate the various parts of a computer and its languages.
  • Use logic and problem solving to find solutions to various problems.
  • Learn the basics of and program in a high level programming language.
  • Implement conditions, control structures and loops into computer programs.

 

3318     COMPUTER PROGRAMMING 2 HYBRID

Grades:  9, 10, 11, 12                                                    Credit:  .5

Prerequisite:  Computer Programming 1

 

Students in this course will:

  • Continue the study of a high level programming language.
  • Incorporate procedures and functions in computer programs.
  • Compile and use arrays.
  • Write and retrieve information from files.

 

3327     SPECIAL PROJECTS COMPUTER PROGRAMMING 1 HYBRID

Grades:  10, 11, 12                                                        Credit:  .5

Prerequisite: Computer Programming 2 with a “C” or above and teacher permission

 

Students in this course will:

  • Study structure, syntax and semantics of the computer programming language.

 

3328     SPECIAL PROJECTS COMPUTER PROGRAMMING 2 HYBRID

Grades:  10, 11, 12                                                        Credit:  .5

Prerequisite:  Special Projects Computer Programming 1

 

Students in this course will:

  • Study structure, syntax and semantics of the computer programming language.

  

¨ ADVANCED PLACEMENT OFFERINGS ¨

 

See page 6 for an explanation and expectations of the AP Program.

 

The mathematics classes that are offered for advanced placement are:

        AP Computer Science-Programming with Java

        AP Calculus AB 1 and 2

        AP Calculus BC 1 and 2

        AP Statistics 1 and 2

       

5329     AP COMPUTER SCIENCE PROGRAMMING WITH JAVA HYBRID

Grades:  10, 11, 12                                                         Credit: .5

Prerequisite:  Computer Programming 1 and 2

See page 6 for course expectations.

Fee:  This course may have associated fees.

 

Students in this course will:

  • Learn the basics of the Java programming language.
  • Use logic and problem solving to find solutions to various problems.
  • Demonstrate the understanding of the object-oriented programming paradigm.
  • Implement conditions, control structures, and loops into computer programs.
  • Write programs that can be introduced to and used in Web design.
  • Experiment with programs that use a Graphical User Interface.

Students will be offered the opportunity to take the AP exam.  Students must pass the AP Exam to earn college credit.

Calculus classes are recommended for students interested in a math and/or science field, such as engineering, electronics, architecture, medicine, etc. 

To receive one semester of advanced placement college credit, students must earn a qualifying score on the advanced placement calculus test after completing both semesters of AP Calculus AB.  The AP exam will be taken in the spring after completing both semesters of AP Calculus AB.

See page 6 for course expectations.

Fee:  This course may have associated fees.

 

5335     AP CALCULUS AB 1

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  Honors Pre-Calculus 2

Students in this course will:

  • Learn techniques for finding a limit.
  • Be introduced to the definition of a derivative and its uses.
  • Use derivatives to find rate of change, slope of tangent lines and velocity.
  • Use derivatives to find extrema, concavity and points of inflection of graphs.
  • Use derivatives to find where a graph is increasing or decreasing. 
  • Solve optimization problems.
  • Be introduced to the definite integral.

 

5336     AP CALCULUS AB 2

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  AP Calculus AB 1

Students in this course will:

  • Use the definite integral to find areas, and volume of solids of revolutions.
  • Find derivatives of logarithmic and exponential functions.
  • Learn various integration techniques.
  • Work with the derivative and the integration of transcendental functions.
  • Discover and use functions of growth and decay.
  • Take the “AB” Advanced Placement exam.

 

    
  
 
   

 

 


AP Calculus BC moves at a faster pace.
  To receive up to two semester credits of advanced placement college credit, students must earn a qualifying score on both parts of the advanced placement calculus test after completing both semesters of AP Calculus BC.  The AP exam will be taken in the spring after completing both semesters of AP Calculus BC.

 

See page 6 for course expectations.

Fee:  This course may have associated fees.

 

 

5339     AP CALCULUS BC 1

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  Grade of “B” or higher in Honors Pre-Calculus 2 and teacher recommendation.

 

Students in this course will:

  • Learn the techniques of finding a limit.
  • Be introduced to the definition of a derivative and its uses.
  • Use derivatives to find rate of change, slope of tangent lines and velocity.
  • Use derivatives to find extrema, concavity and points of inflection of graphs.
  • Use derivatives to find where a graph is increasing or decreasing. 
  • Solve optimization problems.
  • Be introduced to the definite integral.
  • Use the definite integral to find areas, and volume of solids of revolutions.
  • Find derivatives of logarithmic and exponential functions.

 

5340     AP CALCULUS BC 2

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  AP Calculus BC 1

 

Students in this course will:

  • Learn various integration techniques.
  • Find arc length and surface area of solids of revolution.
  • Discover and use functions of growth and decay.
  • Work with the derivative and integration of transcendental functions.
  • Apply derivative and integration techniques to parametric and polar functions.
    • Develop an understanding and work with infinite sequences and series.
    • Take the “BC” Advanced Placement exam.

Statistics is recommended for students interested in engineering, psychology, sociology, health, science, and business.  To receive an advanced placement college credit, students must earn a qualifying score on the advanced placement statistics test after completing both semesters of Advanced Placement Statistics.

See page 6 for course expectations.

Fee:  This course may have associated fees.

A TI-84 Graphing Calculator is required.

5341     AP STATISTICS 1

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  Advanced Algebra 2 or Honors Advanced Algebra 2

 

Students in this course will:

  • Explore data by observing patterns and departures from patterns.
  • Plan a study by deciding what and how to measure.
  • Anticipate patterns by producing models using probability and simulation.
     

5342     AP STATISTICS 2

Grade:   11, 12                                                              Credit:  .5

Prerequisite:  AP Statistics 1

 

Students in this course will:

  • Study sampling distributions.
  • Use statistical inference by confirming models.
  • Take the Advanced Placement Exam in May.