{"id":14855,"date":"2017-08-21T21:57:27","date_gmt":"2017-08-21T21:57:27","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/learning-outcomes\/"},"modified":"2019-08-16T20:32:50","modified_gmt":"2019-08-16T20:32:50","slug":"learning-outcomes","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/learning-outcomes\/","title":{"raw":"Learning Outcomes","rendered":"Learning Outcomes"},"content":{"raw":"<img class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg\" sizes=\"(max-width: 200px) 100vw, 200px\" srcset=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg 616w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-150x150.jpg 150w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-298x300.jpg 298w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-65x65.jpg 65w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-225x226.jpg 225w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-350x352.jpg 350w\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/>\r\n\r\nThe textbook\u00a0content, assignments, and assessments for Prealgebra are aligned to the following learning outcomes. See here for the complete list of <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1yZqeFia8DE933Ho98j0HTX48NiDwEIXUMrsXFxrOpks\/edit?usp=sharing\">Detailed Learning Outcomes.<\/a>\r\n<h2>Module 1: Whole Numbers<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Whole Number Basics&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Whole Number Basics<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Adding Whole Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Subtracting Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Subtracting Whole Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Multiplying Whole Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Dividing Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Dividing Whole Numbers<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 2: The Language of Algebra<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Language of Algebra&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Using the Language of Algebra<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving One-Step Equations Using Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Solving One-Step Equations Using Whole Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Finding Multiples and Factors&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Finding Multiples and Factors<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Prime Factorization and the Least Common Multiple&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Prime Factorization and the Least Common Multiple<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 3: Integers<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Identifying and Writing Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Identifying and Writing Integers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding Integers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Subtracting Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Subtracting Integers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Integers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving One-Step Equations Using Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving One-Step Equations Using Integers<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 4: Fractions<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Representing Parts of a Whole as Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Representing Parts of a Whole as Fractions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Fractions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introductions to Adding and Subtracting Fractions With Common Denominators&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introductions to Adding and Subtracting Fractions With Common Denominators<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Fractions with Different Denominators&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Fractions with Different Denominators<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Mixed Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4227,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Mixed Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations That Contain Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations That Contain Fractions<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 5: Decimals<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing and Identifying Characteristics of Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing and Identifying Characteristics of Decimals<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Operations on Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Operations on Decimals<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Exploring the Relationship Between Decimals and Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Exploring the Relationship Between Decimals and Fractions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations with Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations with Decimals<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 6:\u00a0Applications With Decimals<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Finding Averages and Basic Probabilities&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Finding Averages and Basic Probabilities<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing Ratios and Calculating Rates&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing Ratios and Calculating Rates<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying and Using Square Roots&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying and Using Square Roots<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 7: Percents<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing Percents Using Words, Ratios, and Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing Percents Using Words, Ratios, and Fractions<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving General Applications of Percent&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving General Applications of Percent<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Sales Tax, Commission, and Discount Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Sales Tax, Commission, and Discount Applications<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Simple Interest Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Simple Interest Applications<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Proportions and their Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Proportions and their Applications<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 8:\u00a0Real Numbers<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Classes of Real Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Classes of Real Numbers<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Commutative and Associative Properties&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using the Commutative and Associative Properties<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Distributive Property&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using the Distributive Property<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Properties of Identity, Inverses, and Zero&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Properties of Identity, Inverses, and Zero<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 9: Multi-Step Linear Equations<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations Using the Division and Multiplication Properties of Equality&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations Using the Division and Multiplication Properties of Equality<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using a Problem Solving Strategy&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using a Problem Solving Strategy<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Word Problems That Have Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Word Problems That Have Decimals<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Formulas to Solve Word Problems&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Formulas to Solve Word Problems<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 10:\u00a0Polynomials<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Polynomials<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying Expressions With Exponents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying Expressions With Exponents<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying Polynomials<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Dividing Monomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Dividing Monomials<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying Expressions With Negative Exponents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying Expressions With Negative Exponents<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Factoring Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Factoring Polynomials<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 11: Geometry<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Properties of Rectangles, Triangles, and Trapezoids&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Properties of Rectangles, Triangles, and Trapezoids<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Problems With Circles and Irregular Figures&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Problems With Circles and Irregular Figures<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Problems Using Volume and Surface Area&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Problems Using Volume and Surface Area<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Systems of Measurement&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Systems of Measurement<\/span><\/li>\r\n<\/ul>\r\n<h2>Module 12:\u00a0Graphs<\/h2>\r\n<ul>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Plotting Points on the Rectangular Coordinate System&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Plotting Points on the Rectangular Coordinate System<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Plotting Lines on the Rectangular Coordinate System&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Plotting Lines on the Rectangular Coordinate System<\/span><\/li>\r\n \t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Identifying and Using Slope&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Identifying and Using Slope<\/span><\/li>\r\n<\/ul>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-254\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" srcset=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes.jpg 616w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-150x150.jpg 150w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-298x300.jpg 298w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-65x65.jpg 65w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-225x226.jpg 225w, https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2025\/2017\/07\/01225024\/outcomes-350x352.jpg 350w\" alt=\"icon of a magnifying glass over a list\" width=\"200\" height=\"201\" \/><\/p>\n<p>The textbook\u00a0content, assignments, and assessments for Prealgebra are aligned to the following learning outcomes. See here for the complete list of <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1yZqeFia8DE933Ho98j0HTX48NiDwEIXUMrsXFxrOpks\/edit?usp=sharing\">Detailed Learning Outcomes.<\/a><\/p>\n<h2>Module 1: Whole Numbers<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Whole Number Basics&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Whole Number Basics<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Adding Whole Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Subtracting Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Subtracting Whole Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Multiplying Whole Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Dividing Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22914,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Dividing Whole Numbers<\/span><\/li>\n<\/ul>\n<h2>Module 2: The Language of Algebra<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Language of Algebra&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Using the Language of Algebra<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving One-Step Equations Using Whole Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Solving One-Step Equations Using Whole Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Finding Multiples and Factors&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Finding Multiples and Factors<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Prime Factorization and the Least Common Multiple&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:22915,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;,&quot;17&quot;:1}\">Introduction to Prime Factorization and the Least Common Multiple<\/span><\/li>\n<\/ul>\n<h2>Module 3: Integers<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Identifying and Writing Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Identifying and Writing Integers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding Integers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Subtracting Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Subtracting Integers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Integers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving One-Step Equations Using Integers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving One-Step Equations Using Integers<\/span><\/li>\n<\/ul>\n<h2>Module 4: Fractions<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Representing Parts of a Whole as Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Representing Parts of a Whole as Fractions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Fractions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introductions to Adding and Subtracting Fractions With Common Denominators&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introductions to Adding and Subtracting Fractions With Common Denominators<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Fractions with Different Denominators&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Fractions with Different Denominators<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Mixed Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4227,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Mixed Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations That Contain Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations That Contain Fractions<\/span><\/li>\n<\/ul>\n<h2>Module 5: Decimals<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing and Identifying Characteristics of Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing and Identifying Characteristics of Decimals<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Operations on Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6531,&quot;3&quot;:[null,0],&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Operations on Decimals<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Exploring the Relationship Between Decimals and Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Exploring the Relationship Between Decimals and Fractions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations with Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations with Decimals<\/span><\/li>\n<\/ul>\n<h2>Module 6:\u00a0Applications With Decimals<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Finding Averages and Basic Probabilities&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Finding Averages and Basic Probabilities<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing Ratios and Calculating Rates&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing Ratios and Calculating Rates<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying and Using Square Roots&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying and Using Square Roots<\/span><\/li>\n<\/ul>\n<h2>Module 7: Percents<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Writing Percents Using Words, Ratios, and Fractions&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Writing Percents Using Words, Ratios, and Fractions<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving General Applications of Percent&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving General Applications of Percent<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Sales Tax, Commission, and Discount Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Sales Tax, Commission, and Discount Applications<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Simple Interest Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Simple Interest Applications<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Proportions and their Applications&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Proportions and their Applications<\/span><\/li>\n<\/ul>\n<h2>Module 8:\u00a0Real Numbers<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Classes of Real Numbers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Classes of Real Numbers<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Commutative and Associative Properties&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using the Commutative and Associative Properties<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using the Distributive Property&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using the Distributive Property<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Properties of Identity, Inverses, and Zero&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Properties of Identity, Inverses, and Zero<\/span><\/li>\n<\/ul>\n<h2>Module 9: Multi-Step Linear Equations<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations Using the Subtraction and Addition Properties of Equality<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Equations Using the Division and Multiplication Properties of Equality&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Equations Using the Division and Multiplication Properties of Equality<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using a Problem Solving Strategy&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using a Problem Solving Strategy<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Word Problems That Have Decimals&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Word Problems That Have Decimals<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Formulas to Solve Word Problems&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Formulas to Solve Word Problems<\/span><\/li>\n<\/ul>\n<h2>Module 10:\u00a0Polynomials<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Adding and Subtracting Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Adding and Subtracting Polynomials<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying Expressions With Exponents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying Expressions With Exponents<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Multiplying Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Multiplying Polynomials<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Dividing Monomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Dividing Monomials<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Simplifying Expressions With Negative Exponents&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Simplifying Expressions With Negative Exponents<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Factoring Polynomials&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Factoring Polynomials<\/span><\/li>\n<\/ul>\n<h2>Module 11: Geometry<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Using Properties of Rectangles, Triangles, and Trapezoids&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Using Properties of Rectangles, Triangles, and Trapezoids<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Problems With Circles and Irregular Figures&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Problems With Circles and Irregular Figures<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Solving Problems Using Volume and Surface Area&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Solving Problems Using Volume and Surface Area<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Systems of Measurement&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Systems of Measurement<\/span><\/li>\n<\/ul>\n<h2>Module 12:\u00a0Graphs<\/h2>\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Plotting Points on the Rectangular Coordinate System&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Plotting Points on the Rectangular Coordinate System<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Plotting Lines on the Rectangular Coordinate System&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Plotting Lines on the Rectangular Coordinate System<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Introduction to Identifying and Using Slope&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:6530,&quot;4&quot;:[null,2,12507122],&quot;10&quot;:0,&quot;11&quot;:4,&quot;14&quot;:[null,2,0],&quot;15&quot;:&quot;Calibri&quot;}\">Introduction to Identifying and Using Slope<\/span><\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-14855\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Learning Outcomes. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Magnify. <strong>Authored by<\/strong>: Eucalyp. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\">https:\/\/thenounproject.com\/term\/magnify\/1276779\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Magnify\",\"author\":\"Eucalyp\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/magnify\/1276779\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Learning Outcomes\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-14855","chapter","type-chapter","status-web-only","hentry"],"part":14846,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/14855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":9,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/14855\/revisions"}],"predecessor-version":[{"id":15733,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/14855\/revisions\/15733"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/14846"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/14855\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=14855"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=14855"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=14855"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=14855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}