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REQUIRED COURSES
REQUIRED COURSES
HS Intermediate Algebra
HS Intermediate Algebra
Intended Audience: Grade 9
Credit: Two trimesters = 1.0 credit **
Major Outcomes: This course continues the extensive, connected, and applied study of Mathematics from previous courses. Emphasis is on the development of multiple strategies to solve problems and to recognize multiple ways of understanding concepts, especially as it pertains to quadratic and exponential functions. It has strong threads woven throughout the course focusing on multiple representations, justifying thinking, and communicating the meaning of a solution. The topics covered in the course are:
Functions, Linear Relationships
Simplifying and Solving
Sequences
Modeling Two-Variable Data
Exponential Functions
Quadratic Functions
Solving Quadratic and Inequalities
Instructional Focus: Instruction presented in a variety of ways; some hands-on activities and the use of a graphing calculator.
** Students may be placed in an additional trimester of math based on a variety of achievement scores and teacher recommendation. Students passing this additional trimester course would receive an additional 0.5 elective credit.
HS Geometry with College Foundations
HS Geometry with College Foundations
Prerequisite/Selection Process: HS Intermediate Algebra or Honors HS Intermediate Algebra
Intended Audience: Grade 10
Credit: Three trimesters = 1.0 math credit and 0.5 elective credit
Major Outcomes: This course continues the extensive, connected, and applied study of Mathematics from previous courses. It has strong threads woven throughout the course focusing on multiple representations, justifying thinking, and communicating the meaning of a solution. The topics covered in the course are:
Shapes and Transformations
Angles and Measurement
Justification and Similarity
Trigonometry and Probability
Congruent Triangles
Proof and Quadrilaterals
Polygons and Circles
Solids and Constructions
Circles and Conditional Probability
Solids and Circles
Instructional Focus: Instruction presented in a variety of ways; some hands-on activities.
Honors HS Geometry with College Foundations
Honors HS Geometry with College Foundations
Prerequisite/Selection Process: HS Intermediate Algebra or Honors HS Intermediate Algebra
Intended Audience: Grade 10
Credit: Three trimesters = 1.0 math credit and 0.5 elective credit
Major Outcomes: This course continues the extensive, connected, and applied study of Mathematics from previous courses. It has strong threads woven throughout the course focusing on multiple representations, justifying thinking, and communicating the meaning of a solution. The topics covered in the course are:
Shapes and Transformations
Angles and Measurement
Justification and Similarity
Trigonometry and Probability
Congruent Triangles
Proof and Quadrilaterals
Polygons and Circles
Solids and Constructions
Circles and Conditional Probability
Solids and Circles
Instructional Focus: Instruction presented in a variety of ways; some hands-on activities, and more in-depth study of content.
HS Algebra II
HS Algebra II
Prerequisite/Selection Process: HS Geometry with College Foundations or Honors HS Geometry with College Foundations
Intended Audience: Grade 11
Credit: Two trimesters = 1.0 math credit
Major Outcomes: This course continues the extensive, connected, and applied study of Mathematics from previous courses. It has strong threads woven throughout the course focusing on multiple representations, justifying thinking, and communicating the meaning of a solution. The topics covered in the course are:
Transformations of parent graphs
Equivalent forms
Solving and intersections
Inverses and logarithms
3-D graphing and logarithms
Trigonometric functions, polynomials
Randomization and normal distributions
Series
Simulating sampling variability
Instructional Focus: Instruction presented in a variety of ways; some hands-on activities.
Honors HS Algebra II
Honors HS Algebra II
Prerequisite/Selection Process: HS Geometry with College Foundations or Honors HS Geometry with College Foundations
Intended Audience: Grade 11
Credit: Two trimesters = 1.0 math credit
Major Outcomes: This course continues the extensive, connected, and applied study of Mathematics from previous courses. It has strong threads woven throughout the course focusing on multiple representations, justifying thinking, and communicating the meaning of a solution. The topics covered in the course are:
Transformations of parent graphs
Equivalent forms
Solving and intersections
Inverses and logarithms
3-D graphing and logarithms
Trigonometric functions, polynomials
Randomization and normal distributions
Series
Simulating sampling variability
Instructional Focus: Instruction presented in a variety of ways; some hands-on activities, and more in-depth study of content.
ELECTIVES
ELECTIVES
Coll Honors College Algebra Through Modeling
Coll Honors College Algebra Through Modeling
College Credit [University of Minnesota - CI 1806]
Prerequisite/Selection Process: HS Algebra II, Honors HS Algebra II
Intended Audience: Grades 11 and 12; a grade of C+ or better in Advanced Algebra and class rank (50th-80th percentile) is considered
Credit: Two trimesters = 1.0 credit
Major Outcomes:
Construct math models to describe real world phenomena
Use math models to make predictions
Apply linear, polynomial, rational, exponential, and logarithmic functions to real world situations
Communicate and evaluate math reasoning
Projects, Activities, etc.: Modeling assignments solving realistic problems; utilize graphing calculators and spreadsheets to accurately represent the behavior of real-world data
Instructional Focus: Emphasis on real-world problem-solving applications
Coll Honors College Algebra
Coll Honors College Algebra
College Credit [St. Cloud State University – Math 112]
Prerequisite/Selection Process: HS Algebra II or Honors HS Algebra II and a required math score on the placement test
Intended Audience: Only Grade 11 [GPA in top 33 percent of class] and only Grade 12 [GPA in top 50 percent of class]
Credit: Two trimesters = 1.0 credit, successful completion can earn college credit
Major Outcomes:
Functions and function inverses
Exponential and logarithmic functions
Polynomial and Rational Functions
Linear programming
Systems of equations and inequalities
Projects, Activities, etc.: Group problem-solving sessions, group presentations, group activities, computer lab projects, individual student presentations, student portfolio creation
Instructional Focus: Small and large group discussions, concept mapping, presentations and use of a college text
Honors Precalculus
Honors Precalculus
Prerequisite/Selection Process: Honors HS Algebra II or Coll Honors College Algebra [HS Algebra II with teacher recommendation]
Intended Audience: Grades 9, 10, 11, and 12
Credit: Two trimesters = 1.0 credit
Major Outcomes:
Extension of algebraic and geometric concepts of relations, functions and graphing into trigonometric functions
Applications of trigonometry
Projects, Activities, etc.: Varies by teacher
Instructional Focus: Instruction presented in a variety of ways, use of graphic calculator
AP Statistics
AP Statistics
[AP test is in May each year]
Prerequisite/Selection Process: Honors HS Algebra II
Intended Audience: Grades 9, 10, 11, and 12
Credit: Two trimesters = 1.0 credit
Major Outcomes:
Introduction to the major concepts and tools for collecting, analyzing and drawing conclusions from data
Projects, Activities, etc.: Varies by teacher
Instructional Focus: Instruction presented in a variety of ways, use of statistical software, some hands-on activities and preparation for AP test
AP Calculus AB
AP Calculus AB
[AP exam is in May each year]
Prerequisite/Selection Process: Honors Precalculus
Intended Audience: Grades 10, 11, and 12
Credit: Two trimesters= 1.0 credit
Major Outcomes:
Functions
Limits, derivatives, integrals
Approach the AP exam with confidence
Projects, Activities, etc.: Varies by teacher
Instructional Focus: Instruction presented in a variety of ways; use of graphing calculator; preparation for AP exam; College credit may be earned based on AP exam score and institution.
Calculus AB Seminar
Calculus AB Seminar
Prerequisite/Selection Process: AP Calculus AB
Intended Audience: Students who have completed Calculus AB and desire to prepare for the AP Exam
Credit: One trimester = 0.5 credit
Major Outcomes:
Review Calculus AB Concepts
Further in-depth study in Calculus Concepts
Projects, Activities, etc.: Practice AP Calculus AB Exams and discussion of AP testing strategies
AP Calculus BC
AP Calculus BC
[AP exam is in May each year]
Prerequisite/Selection Process: Students must have successfully completed AP Calculus AB or AP Differential Calculus AB and AP Integral Calculus AB
Intended Audience: Grades 10, 11, and 12
Credit: Two trimesters = 1.0 credit
Major Outcomes:
Improper integrals
Partial fractions, infinite series
Parametric, vector and polar functions
Approach the AP exam with confidence
Projects, Activities, etc.: Varies by teacher
Instructional Focus: Instruction presented in a variety of ways; use of graphing calculator; preparation for AP exam; College credit may be earned based on AP exam score and institution.
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