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Math for Liberal Arts Corequisite
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Lumen Learning: Math for Liberal Arts Corequisite Learning Outcomes is licensed under CC-BY 4.0
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Outcomes
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Module 1: Historical Counting Systems
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1.0Review topics needed for success in Historical Counting SystemsHistorical Counting Systems Review Topics
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1.0.1Identify the whole numbers and counting numbers from a list of numbersCounting Numbers and Whole Numbers
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1.0.2Identify the place value of a digit in a numberIdentifying Place Value
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1.0.3Write a whole number given as digits or in wordsNaming Whole Numbers
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1.0.4Round a whole number to a specific place valueRounding Whole Numbers
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1.0.5Use symbols and words to represent addition, subtraction, multiplication, and divisionUsing Math Notation
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1.0.6Identify and use the identity properties of addition and multiplicationThe Identity Property of Additon and Multiplication
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1.0.7Identify and use the commutative properties of addition and multiplicationThe Commutative Property of Addition and Multiplication
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1.0.8Identify and use the multiplication property of zeroThe Multiplication Property of Zero
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1.0.9Use the long division algorithmLong Division
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1.0.10Perform applications using addition, subtraction, multiplication, and divisionWhole Numbers in Applications
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1.1Convert between our number system and early counting systems Early Counting Systems
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1.1.1Determine the number of objects being represented by pebbles placed on an Inca counting boardInca Counting Board
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1.1.2Determine the number represented by a quipu cordQuipu Cord
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1.1.3Become familiar with the evolution of the counting system we use every dayEvolution of Our Counting System
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1.1.4Write numbers using Roman NumeralsWriting Roman Numerals
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1.1.5Convert between Hindu-Arabic and Roman NumeralsHindu-Arabic Numerals to Roman Numerals
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1.2Convert numbers between different bases Positional Systems and Bases
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1.2.1Become familiar with the history of positional number systemsThe Positional System and Base 10
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1.2.2Identify bases that have been used in number systems historicallyHistorical Number Bases
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1.2.3Convert numbers between basesConverting Between Bases
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1.2.4Use two different methods for converting numbers between basesAdditional Methods for Converting Between Bases
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Module 2: General Problem Solving
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2.0Review topics needed for success in General Problem SolvingGeneral Problem Solving Review Topics
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2.0.1Translate word phrases into mathematical notation representing addition, subtraction, multiplication, and divisionTranslating Word Phrases to Math Notation
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2.0.2Add, subtract, multiply, and divide fractionsCalculations with Fractions
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2.0.3Express a decimal given in numerical form to word form and vice versaNaming and Writing Decimals
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2.0.4Convert a decimal to a fraction or mixed numberConverting Decimals to Fractions or Mixed Numbers
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2.0.5Use variables and algebraic symbolsUsing Variables and Algebraic Symbols
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2.0.6Recognize and combine like terms in an expressionCombining Like Terms
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2.0.7Identify expressions and equationsIdentifying Expressions and Equations
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2.0.8Use exponential notationExponential Notation
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2.0.9Use the order of operationsOrder of Operations
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2.0.10Perform arithmetic operations on real numbersArithmetic
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2.0.11Simplify compound expressions containing real numbersSimplifying Compound Expressions
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2.1Apply proportional relationships to problems involving rates, money, or geometry Proportional Relationships and a Bit of Geometry
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2.1.1Given the part and the whole, write a percentPercents
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2.1.2Evaluate changes in amounts with percent calculationsEvaluating Percent Equations
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2.1.3Calculate both relative and absolute change of a quantityCalculating Changes in Quantity
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2.1.4Write a proportion to express a rate or ratioWriting Ratios
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2.1.5Solve a proportion for an unknownSolving Proportions
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2.1.6Use a geometry formula to set up a proportion in an applicationProportions in Geometry
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2.2Design a pathway for solving complex multi-step problems Solving Problems With Math
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2.2.1Identify and apply a solution pathway for multi-step problemsMulti-Step Problems
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2.2.2Calculate sales and income taxesCalculating Taxes
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Module 3: Measurement
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3.0Review topics needed for success in MeasurementMeasurement Review Topics
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3.0.1Convert between mixed numbers and improper fractionsConverting Between Improper Fractions and Mixed Numbers
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3.0.2Locate and order fractions and mixed numbers on the number lineLocating and Ordering Fractions and Mixed Numbers on the Number Line
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3.0.3Perform multiplication, division, addition and subtraction on mixed numbersOperations on Mixed Numbers
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3.0.4Simplify and evaluate complex fractionsSimplifying and Evaluating Complex Fractions
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3.0.5Simplify expressions with a fraction barSimplifying an Expression with a Fraction Bar
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3.1Make calculations and solve application problems involving units of measurementUS Units of Measurement
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3.1.1Define units of length and convert from one to anotherUnits of Length
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3.1.2Perform arithmetic calculations on units of lengthPermorming Calculations on Units of Length
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3.1.3Solve application problems involving units of lengthSolving Problems Including Units of Length
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3.1.4Define units of weight and convert from one to anotherUnits of Weight
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3.1.5Perform arithmetic calculations on units of weightPerforming Calculations on Units of Weight
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3.1.6Solve application problems involving units of weightSolving Problems Including Units of Weight
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3.1.7Define units of capacity and convert from one to anotherUnits of Capacity
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3.1.8Perform arithmetic calculations on units of capacityPerforming Calculations on Units of Capacity
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3.1.9Solve application problems involving units of capacitySolving Problems Including Units of Capacity
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3.2Convert measurements between metric units and U.S. customary unitsSystems and Scales of Measurement
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3.2.1Define the metric prefixes and use them to perform basic conversions among metric unitsApplications of Metric Conversions
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3.2.2Solve application problems using metric unitsSolving Problems Using Metric Units
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3.2.3Convert between the U.S. customary units and metric units of length, weight/mass, and volumeMetric Systems Basics
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3.2.4Convert from one temperature scale to the other, using conversion formulasUsing Temperature Conversion Formulas
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Module 4: Graph Theory
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4.0Review topics needed for success in Graph TheoryGraph Theory Review Topics
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4.0.1Locate positive and negative numbers on a number lineLocating and Ordering Integers on the Number Line
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4.0.2Compare and order positive and negative numbers using a number lineLocating and Ordering Integers on the Number Line
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4.0.3Write the opposite of a given numberNotation and Definition of the Set of Integers
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4.0.4Use correct notation to indicate the opposite of a numberNotation and Definition of the Set of Integers
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4.0.5Use correct notation to indicate absolute value and simplify and evaluate expressions that contain absolute valueSimplifying Expressions With Absolute Value
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4.0.6Translate word phrases that contain negative numbers, or oppositesTranslating Word Phrases into Expressions With Integers
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4.0.7Perform arithmetic operations on integersPerforming Operations of Integers
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4.0.8Simplify and evaluate expressions containing integersSimplifying and Evaluating Expressions With Integers
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4.0.9Use operations on integers in applicationsApplications Involving Integers
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4.1Describe the elements of a graphGraph Theory Basics
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4.1.1Identify the vertices, edges, and loops of a graphElements of Graph Theory
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4.1.2Identify the degree of a vertexThe Degrees of Vertices
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4.1.3Identify and draw both a path and a circuit through a graphDrawing Paths and Circuits
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4.1.4Determine whether a graph is connected or disconnected Are Graphs Connected or Disconnected?
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4.1.5Find the shortest path through a graph using Dijkstra's AlgorithmUsing Dijkstra's Algorithm
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4.2Find Euler and Hamiltonian paths and circuits within a defined graphEuler and Hamiltonian Paths and Circuits
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4.2.1Determine whether a graph has an Euler path and/or circuitEuler Circuits
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4.2.2Use Fleury's algorithm to find an Euler circuitUsing Fleury's Algorithms
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4.2.3Add edges to a graph to create an Euler circuit if one doesn't existCreating Euler Curcuits
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4.2.4Identify whether a graph has a Hamiltonian circuit or pathHamiltonian Circuits and Paths
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4.2.5Find the optimal Hamiltonian circuit for a graph using the brute force algorithm, the nearest neighbor algorithm, and the sorted edges algorithmFinding Hamiltonian Circuits