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Liberal Arts Mathematics

Subject: Mathematics

Course Description:

The total weight of two beluga whales and three orca whales is 36,000 pounds. As you'll see in this course, if given one additional fact, you can determine the weight of each whale. To answer this weighty question, we'll give you all the math tools you'll need. The setting for this course is an amusement park with animals, rides, and games. Your job will be to apply what you learn to dozens of real-world scenarios.

Equations, geometric relationships, and statistical probabilities can sometimes be dull, but not in this class! Your park guide (teacher) will take you on a grand tour of problems and puzzles that show how things work and how mathematics provides valuable tools for everyday living.

Come reinforce your existing algebra and geometry skills to learn solid skills with the algebraic and geometric concepts you’ll need for further study of mathematics. We have an admission ticket with your name on it and we promise an exciting ride with no waiting!

Major Topics:

Segment 1

  • Expressions, Operations and the Real Number System
    The Real Number System 
    Operations with Integers 
    Order of Operations 
    Evaluating Expressions and Absolute Value 
    Algebraic Properties 
    Simplifying Algebraic Expressions 
    Translating English Phrases into Algebraic Expressions
  • Equations and Inequalities
    Solving Equations 
    Solving Equations with Variables on Both Sides 
    Solving Equations Containing Fractions 
    Absolute Value Equations 
    Literal Equations 
    Word Problems with Equations 
    Solving Inequalities 
    Solving Combined Inequalities
  • Graphing Equations and Inequalities
    Linear Equations 
    Slope and Special Lines 
    Graphing Linear Equations 
    Writing Equations of Lines 
    Parallel and Perpendicular Lines 
    Graphing Linear Inequalities
  • Systems
    Solving Systems of Equations by Graphing 
    Solving Systems of Inequalities 
    Solving Systems by Substitution 
    Solving Systems by Addition Methods 
    Word Problems with Systems
  • Polynomials
    Introduction to Polynomials 
    Multiplying and Dividing Monomials 
    Laws of Exponents 
    Multiplying Polynomials 
    Dividing Polynomials 
    Scientific Notation

Segment 2

  • Factoring 
    Greatest Common Factor 
    Factoring Differences of Squares 
    Factoring by Grouping 
    Factoring Trinomials 
    Factoring Polynomials Completely 
    Solving Quadratic Equations by Factoring 
    Solving Quadratic Equations using the Quadratic Formula  
  • Radicals
    Adding and Subtracting Radicals
    Multiplying Radicals
    Dividing Radicals
    Solving Equations with Radicals
    Pythagorean Theorem
    Distance and Midpoint Formulas
  • Polygons
    Similar and Congruent Triangles
    Special Right Triangles
    Similar and Congruent Polygons
  • Quadrilaterals
    Trapezoids and Kites
    Quadrilateral Design
  • Measurement
    Perimeter and Circumference
    Changing Dimensions
    Lateral Area
    Surface Area
  • Data Analysis
    Data Graphs
    Means, Medians, Weighted Means
    Range and Quartiles
    Making Data Graphs

Participation Requirements:

Besides engaging students in challenging curriculum, INVS guides students to reflect on their learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of self-checks, practice lessons, business trip activities, worksheets with multiple choice questions, essay and multiple choice questions on tests and quizzes, oral assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of assessments built into a course, as well as through contact with the student in other venues.

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Course Details

  • Course Code: 1208300
  • Course Credits: 2.0


  • Algebra I required
  • Geometry Recommended

Estimated Completion:
2 segments / 32-36 weeks