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High School Mathematics for College Liberal Arts

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Description

Mathematics for College Liberal Arts gives you the opportunity to explore a range of mathematical concepts and fields, all while connecting ideas to their application in our world. Major topics in this course include linear and exponential functions, geometry in the real world, analysis of data and probability, and the use of functions as models. Logic and theory as they apply to the practical use of mathematical concepts are introduced, giving you an understanding of how the principles of higher-level math connect to everyday life. In Mathematics for College Liberal Arts, instructional time will emphasize five areas: analyzing and applying linear and exponential functions within a real-world context; utilizing geometric concepts to solve real-world problems; extending understanding of probability theory; representing and interpreting univariate and bivariate data; and developing an understanding of logic and set theory.

Segment One

Module 01 - Algebra Basics


  • Linear and Exponential Functions Introduction
  • Linear Functions
  • Exponential Functions
  • Percent Rate of Change
  • Graphing Exponential Functions

Module 02 - Equations and Functions


  • Utilizing Functions Introduction
  • Comparing Functions
  • Modeling Functions
  • Types of Interest
  • Applications of Interest
  • An Interest in Growth Models

Module 03 - Polynomials


  • Transformations and Applications of Geometry Introduction
  • Congruence and Similarity
  • Transformations
  • Triangle Trigonometry
  • Types of Area
  • Volume
  • Scale Factor and Dilation


Segment Two

Module 04 - Rationals


  • Modeling and Analyzing Data Introduction
  • Data Displays
  • Interpreting Data Distributions
  • Comparing Data
  • Linear Models
  • Exponential Models

Module 05 - Radicals


  • Exploring Events Using Probability Introduction
  • Exploring Set Relationships Using Venn Diagrams
  • Events and Sample Spaces
  • Applying Two-Way Frequency Tables
  • Conditional Probability
  • Interpreting Independence
  • Addition and Multiplications Rules for Probability

Module 06 - Exponentials and Logarithms


  • Making Sense of Logic and Theory Introduction
  • Set Operations and Relations
  • Logic and Truth Tables
  • If...Then Statements
  • Logic Operations and Equivalence
  • Laws of Logic and Valid Arguments
  • Permutations and Combinations