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Course Descriptions

  • Mathematics
Algebra 1 A (2000, 2001)

Credit: 1.0 Math

  • Parallel the Algebra I curriculum
  • Complete Algebra B before enrolling in Geometry
  • Make a two-year commitment to the Algebra I objectives
  • Use various problem solving strategies
  • Express, interpret and graph functions and use variables to represent relations from tables and graphs
  • Berthoud High School
  • Harold Ferguson High School
  • Thompson Valley High School
  • Mathematics
Algebra 1 B (2006, 2007)

Credit: 1.0 Math

  • Parallel the Algebra I curriculum
  • Complete both Algebra A and Algebra B before enrolling in Geometry
  • Complete the second year of their commitment to the Algebra I objectives
  • Solve linear and quadratic equations and systems of linear equations
  • Use ratio, proportion, and direct variation from numerical, geometric, and algebraic perspectives and use the distributive property and order of operations to reorganize algebraic expressions into more useful forms
  • Berthoud High School
  • Harold Ferguson High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Algebra 1 (2012, 2013)

Credit: 1.0 Math

Emphasize a balanced combination of procedure and conceptual understanding focusing on four critical areas:

  • Using functions to model situations where one quantity determines another and can be represented algebraically, graphically, and using tables
  • Modeling and solving quantitative relationships in the real world using functions
  • Representing expressions in multiple, equivalent forms
  • Developing solutions to equations, inequalities, and systems of equations using a variety of tools

This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Berthoud High School
  • Harold Ferguson High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Algebra 1 IB MYP (2304, 2305)

Credit: 1.0 Math

Emphasize a balanced combination of procedure and conceptual understanding focusing on four critical areas:

  • Using functions to model situations where one quantity determines another and can be represented algebraically, graphically, and using tables
  • Modeling and solving quantitative relationships in the real world using functions
  • Representing expressions in multiple, equivalent forms
  • Developing solutions to equations, inequalities, and systems of equations using a variety of tools

This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Loveland High School
  • Mathematics
Algebra 1 IB MYP/Honors (2302,2303)

Credit: 1.0 Math

Emphasize a balanced combination of procedure and conceptual understanding focusing on four critical areas:

  • Using functions to model situations where one quantity determines another and can be represented algebraically, graphically, and using tables
  • Modeling and solving quantitative relationships in the real world using functions
  • Representing expressions in multiple, equivalent forms
  • Developing solutions to equations, inequalities, and systems of equations using a variety of tools

This content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Loveland High School
  • Mathematics
Algebra 2 (2040,2041)

Credit: 1.0 Math
Recommended: Geometry

  • Solve any real linear or quadratic equation in one, two, three, or more variables
  • Visualize, express, interpret, and graph functions
  • Extend the use of trigonometry to the laws of sines and cosines and connect right triangle definitions with the trigonometric functions
  • Apply mathematics to problems in economics, biology, chemistry, and physics
  • Use elementary statistics and probability to solve problems

Courses emphasize a balanced combination of procedure and conceptual understanding focusing on critical areas. These areas will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Berthoud High School
  • Harold Ferguson High School
  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Algebra 2 Pre AP (2046,2047)

Credit: 1.0 Math
Recommended: Geometry

Learn the same skills as in Algebra 2, but at a more advanced and rigorous level. Per the AP Central College Board’s website, “Honors is based on the following two important premises. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge as early as possible.” (apcentral.collegeboard.com)

  • Thompson Valley High School
  • Mathematics
Algebra 2 Honors (2052,2053)

Credit: 1.0 Math
Recommended: Geometry

Learn the same skills as in Algebra 2, but at a more advanced and rigorous level. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors level is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge.

  • Mountain View High School
  • Mathematics
Algebra 2 IB MYP/Honors (2310,2311)

Credit: 1.0 Math
Recommended: Geometry

  • Visualize, express, interpret, and graph functions
  • Solve any real linear or quadratic equation in one, two, three, or more variables
  • Extend the use of trigonometry to the laws of sines and cosines and connect right triangle definitions with the trigonometric functions
  • Apply mathematics to problems in economics, biology, chemistry, and physics
  • Loveland High School
  • Mathematics
Advanced Algebra with Financial Applications (2048,2049)

Credit: 1.0 Math
Recommended: Geometry

  • Address college preparatory mathematic topics from Advanced Algebra, Statistics, and Probability under seven financial umbrellas: banking, investing, modeling a business, employment and income taxes, automobile ownership, independent living, and retirement planning and household budgeting
  • Use a variety of problem-solving skills and strategies in real-world contexts
  • Apply algebraic representation, graphical representations, and verbal representations of mathematical functions as they relate to financial applications
  • Berthoud High School
  • Harold Ferguson High School
  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Advanced Algebra with Social Applications (2050,2051)

Credit: 1.0 Math
Recommended: Algebra and Geometry

  • Address college preparatory mathematic topics from Advanced Algebra, Statistics, and Probability under several Social Studies performance indicators
  • Research, formulate positions, and engage in local, state, and national issues
  • Evaluate the limitations on the functions of government
  • Explain and interpret geographic variables that influence interactions
  • Investigate the interconnected nature of the world
  • Analyze and interpret data to develop interpretations defended by evidence
  • Analyze continuity and change and cause and effect over time
  • Analyze and evaluate how choices are made about the allocation of resources
  • Use a variety of problem-solving skills and strategies in real-world contexts
  • Apply algebraic representations, graphical representations, and verbal representations of mathematical functions as they relate to social applications
  • Thompson Valley High School
  • Mathematics
Calculus (2082,2083)

Credit: 1.0 Math
Recommended: Trigonometry/Functions

  • Understand limits of functions through graphing, symbolic, and numerical evaluation
  • Understand the concept of a function derivative and apply it to related rate and extreme problems
  • Understand the concept of a function integral and apply it to area, volume, and work problems
  • Mathematics
AP Calculus AB (2084, 2085)

Credit: 1.0 Math
Recommended: Teacher recommendation; Algebra 1 and 2, Geometry and Trigonometry/Functions
Fee: Student pays for textbook

  • Understand properties of functions, limits, the derivative and its applications, anti-derivatives, techniques of integration, and the definite integral and its applications
  • Study the college curriculum equivalent to one and one-half years of college level Calculus topics
  • Be able to take the AP test in order to possibly receive college credit for Calculus 1/Calculus 2
  • Berthoud High School
  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
AP Calculus BC (2087, 2092)

Credit: 1.0 Math
Recommended: Teacher recommendation; Algebra 1 and 2, Geometry and Trigonometry/Functions
Fee: Student pays for textbook

  • Continue learning properties of functions, limits, derivative, integral, and applications
  • Explore finite and infinite sequences and series, approximate functions using power series
  • Explore the convergence of infinite power series
  • Explore polar functions with graphing, the derivative, and finding areas
  • Be able to take the AP Calculus BC test that is comprehensive over all Calculus topics
  • Berthoud High School
  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Pre-Calculus Honors (2068,2069)

Credit: 1.0 Math
Recommended: Algebra 2

Learn the same skills as in Trigonometry/Functions, but at a more advanced and rigorous level.

  • Berthoud High School
  • Mathematics
AP Pre-Calculus (2072,2073)

Credit: 1.0 Math
Recommended: Algebra 2

Learn the same skills as in Trigonometry/Functions, but at a more advanced and rigorous level. Per the AP Central College Board’s website, “Honors is based on the following two important premises. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge as early as possible.” apcentral.collegeboard.com

  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
College Algebra (2506, 2507)

Credit: 1.0 Math
Dual college credit may be available – see your school counselor for more information
Recommended: Qualifying Test Scores

This course will include a brief review of intermediate algebra, equations, and inequalities, functions and their graphs, exponential and logarithmic functions, linear and non-linear systems, and conic sections. A qualifying test score is required to take this college course.

  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Geometry (2020, 2021)

Credit: 1.0 Math
Recommended: Algebra 1

Emphasize a balanced combination of procedure and conceptual understanding focusing on five critical areas:

  • Using transformations to mathematically analyze and describe objects in the plane
  • Developing concepts of similarity which are foundational to geometry and its applications
  • Algebraically describing and analyzing objects in the plane
  • Measuring and quantifying attributes of two- and three-dimensional objects
  • Using geometric concepts to model real-world objects

This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Berthoud High School
  • Harold Ferguson High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Geometry IB MYP (2306,2307)

Credit: 1.0 Math
Recommended: Algebra 1

Emphasize a balanced combination of procedure and conceptual understanding focusing on five critical areas:

  • Using transformations to mathematically analyze and describe objects in the plane
  • Developing concepts of similarity which are foundational to geometry and its applications
  • Algebraically describing and analyzing objects in the plane
  • Measuring and quantifying attributes of two- and three-dimensional objects
  • Using geometric concepts to model real-world objects

This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Loveland High School
  • Mathematics
Pre AP Geometry with Statistics (2030,2031)

Credit: 1.0 Math
Recommended: Algebra 1

Learn the same skills as in Geometry, but at a more advanced and rigorous level. Per the AP Central College Board’s website, “Honors is based on the following two important premises. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge as early as possible.” CollegeBoard Course Description

  • Thompson Valley High School
  • Mathematics
Geometry Honors (2028,2029)

Credit: 1.0 Math
Recommended: Algebra 1

Learn the same skills as in Geometry, but at a more advanced and rigorous level. The first is the expectation that all students can perform well at rigorous academic levels. The second important premise of Honors level is the belief that we can prepare every student for higher intellectual engagement by starting the development of skills and acquisition of knowledge.

  • Mountain View High School
  • Mathematics
Geometry IB MYP/Honors (2300,2301)

Credit: 1.0 Math
Recommended: Algebra 1 IB MYP/Honors

Emphasize a balanced combination of procedure and conceptual understanding focusing on five critical areas:

  • Using transformations to mathematically analyze and describe objects in the plane
  • Developing concepts of similarity which are foundational to geometry and its applications
  • Algebraically describing and analyzing objects in the plane
  • Measuring and quantifying attributes of two- and three-dimensional objects
  • Using geometric concepts to model real-world objects

This critical content will be engaged by use of eight mathematical practice standards to facilitate students’ ability to transfer and apply their mathematical knowledge to new and novel situations.

  • Loveland High School
  • Industrial Science and Technology
  • Mathematics
Geometry (Geometry in Construction) (2024, 2025)

Credit: 1.0 Math
Recommended: Algebra 1
Fee: $30 per semester

Students must also register for Construction (Geometry in Construction) (8314, 8315).

In Geometry in Construction, students will:

  • Be exposed to construction careers such as engineering, architecture, construction management, interior design, landscape architecture, and surveying.
  • Learn safety, problem-solving, tool use, and drawing interpretation.
  • Understand the interrelation of geometry in construction.
  • Use and coordinate geometry in the study of area, perimeter, volume, transformations, congruence, and functions.
  • Thompson Valley High School
  • Industrial Science and Technology
  • Industrial Technology – Architecture and Construction
Construction (Geometry in Construction) (8314, 8315)

Credit: 1.0 Applied Arts/CTE
Recommended: Algebra 1
Fee: $30 per semester

Students must also register for Geometry (Geometry in Construction) (2024, 2025).

In Geometry in Construction, students will:

  • Be exposed to construction careers such as engineering, architecture, construction management, interior design, landscape architecture, and surveying.
  • Learn safety, problem-solving, tool use, and drawing interpretation.
  • Understand the interrelation of geometry in construction.
  • Use and coordinate geometry in the study of area, perimeter, volume, transformations, congruence, and functions.
  • Thompson Valley High School
  • Mathematics
Math Studies (2080,2081)

Credit: 1.0 Math

Math Studies is designed to continue with skills learned by students in their Algebra 2 course. The course uses problem-solving strategies in conjunction with knowledge of the interconnections among algebra, geometry, and functions to analyze problems, formulate appropriate solutions, and extend current knowledge by making new connections.

In Math Studies, students will:

  • Be able to demonstrate skills in the aforementioned math topics.
  • Be able to apply mathematical principles and terminology.
  • Be able to demonstrate competence in mathematical methods.
  • Be able to apply research skills in solving mathematical problems.
  • Use reasoning when applying mathematical skills.
  • Be able to communicate their process and outcomes both written and orally.
  • Loveland High School
  • Mathematics
AP Statistics (2102, 2103)

Credit: 1.0 Math
Recommended: Algebra 2 (with teacher recommendation)
Fee: Student will pay for textbook

  • Be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.
  • Plan a study: decide what and how to measure.
  • Explore data: observe patterns and departures from data.
  • Anticipate patterns: produce models using probability and simulation.
  • Have the opportunity to test out of a college statistics course.
  • Berthoud High School
  • Loveland High School
  • Mountain View High School
  • Thompson Valley High School
  • Mathematics
Statistics (2104, 2105)

Credit: 1.0 Math
Recommended: Algebra 2

Statistics is a year-long introductory course designed for students who have successfully completed Algebra II. The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will explore and analyze data using graphical and numerical techniques. Students will also use probability and statistical inferences to develop an appropriate model for data collected. Students will be using text materials, group exercises, multi-media presentations, internet resources, journal & newspaper articles and projects to explore and master the content of this course. This course is for students who want to learn the concepts taught in a statistics course, but may not want to take an AP course.

  • Berthoud High School
  • Thompson Valley High School
  • Mathematics
Trigonometry/Functions (2060,2061)

Credit: 1.0 Math
Recommended: Algebra 2

  • Describe transformations and graph various functions and conic sections.
  • Use identities to solve and graph trigonometric functions.
  • Graph and solve various polynomial, exponential, and logarithmic functions.
  • Solve systems of equations.
  • Berthoud High School
  • Thompson Valley High School