High School Mathematics for College Liberal Arts

License Model
FlexPoint or School/District Hosted

Number of Credits
1.0

Estimated Completion Time
3236 weeks
Suggested Prerequisites
Algebra 1, GeometryDescription
Get ready to apply your math skills to realworld problems. This course gives you the opportunity to explore a range of mathematical concepts and fields, all while connecting ideas to their application in your 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. You will gain an understanding of how the principles of higherlevel math connect to everyday life.Module One: Linear and Exponential Functions
Solve and graph problems with linear functions
Interpret key features of linear functions
Determine constraints using a realworld 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 realworld context
Compare simple, compound, and continuously compounded interest
Solve realworld 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 twodimensional figures
Solve problems involving similarity in twodimensional 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 twodimensional figures
Solve problems involving surface area of threedimensional figures
Solve problems involving volume of threedimensional figures
Determine how dilations affect twodimensional figures
Determine how dilations affect threedimensional 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 realworld 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 twoway tables to organize data
Determine relative, joint, and marginal frequencies
Calculate the conditional probability of two events
Interpret probabilities given a realworld 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