High School Mathematics for College Liberal Arts

Module One: Linear and Exponential Functions

-Solve and graph problems with linear functions

-Interpret key features of linear functions

-Determine constraints using a real-world context

-Interpret key features of exponential functions

-Classify exponential functions as growth or decay

-Write exponential functions given multiple representations

-Graph an exponential function given multiple representations

-Determine the constant percent rate of change

Module Two: Utilizing Functions

-Compare key features of functions given multiple representations

-Determine the best model given a real-world context

-Compare simple, compound, and continuously compounded interest

-Solve real-world problems involving interest

-Explore linear growth and simple interest

-Explore exponential growth and compound interest

-Explore exponential growth and continuously compounded interest

Module Three: Transformations and Applications of Geometry

-Solve problems involving congruence in two-dimensional figures

-Solve problems involving similarity in two-dimensional figures

-Determine symmetries of transformations of geometric figures

-Solve problems with right triangles using trigonometric ratios

-Solve problems with right triangles using the Pythagorean Theorem

-Solve problems involving area of two-dimensional figures

-Solve problems involving surface area of three-dimensional figures

-Solve problems involving volume of three-dimensional figures

-Determine how dilations affect two-dimensional figures

-Determine how dilations affect three-dimensional figures

Module Four: Modeling and Analyzing Data

-Determine if given data is numerical or categorical

-Determine if given data is univariate or bivariate

-Represent a data set using a visual model

-Interpret data given a visual model

-Compare the appropriate measures of center

-Compare the appropriate measures of variability

-Note features about the shape of data distributions

-Fit a linear function to bivariate numerical data

-Fit an exponential function to bivariate numerical data

-Solve real-world problems using linear or exponential models

Module Five: Exploring Events Using Probability

-Analyze sets, subsets, power sets, and equivalent sets

-Explore set relationships using Venn diagrams

-Apply Venn diagrams to make arguments about sets

-Describe unions, intersections, and complements as subsets

-Determine the independence of events using probability

-Create two-way tables to organize data

-Determine relative, joint, and marginal frequencies

-Calculate the conditional probability of two events

-Interpret probabilities given a real-world context

-Apply the addition and multiplication rules for probability

Module Six: Making Sense of Logic and Theory

-Perform set operations and prove set relations

-Determine truth values of simple and compound statements

-Interpret conditional, biconditional, and quantified statements

-Find the converse, inverse, and contrapositive of a statement

-Represent logic operations using logical symbolism

-Solve problems using logic operations

-Determine whether two propositions are logically equivalent

-Construct valid arguments using the laws of logic

-Give counterexamples to disprove statements

-Calculate permutations and combinations as appropriate