Topic  Name  Description 

Course Introduction  Course Syllabus  
Course Terms of Use  
Unit 1: Number Properties  Unit 1 Learning Outcomes  
1.1.1: Commutative Law of Addition  Khan Academy: "Commutative Law of Addition"  Take notes as you watch this video to learn about the Commutative Law of Addition (also known as the Commutative Property of Addition). Watch the presentation carefully two or three times until you are able to explain how changing the order of the addition of two numbers obtains the same result. 
College of the Redwoods: "PreAlgebra Textbook: The Commutative Property of Addition"  Study the "Commutative Property of Addition" on pages 15 and 16 of the textbook, stopping at "Grouping Symbols." The material may also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "The Commutative Property of Addition"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Commutative Property of Addition. 

1.1.2: Associative Law of Addition  Khan Academy: "Associative Law of Addition"  Take notes as you watch this video to learn about the Associative Law of Addition (also known as the Associative Property of Addition). Watch the presentation carefully two or three times until you are able to explain how to associate the addition of three numbers to obtain the same result. 
College of the Redwoods: "PreAlgebra Textbook: The Associative Property of Addition"  Study the "Associative Property of Addition" on page 17 of the textbook, stopping at "The Additive Identity." The material may also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "The Associative Property of Addition"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Associative Property of Addition. 

1.1.3: Identity Property of Addition  Khan Academy: "Identity Property of 0"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how adding zero to any number is the original number. 
College of the Redwoods: "PreAlgebra Textbook: The Additive Identity"  Study "The Additive Identity" located on pages 17 and 18 of the textbook, stopping at "Adding Larger Whole Numbers." The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "The Additive Identity"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Additive Identity Property. 

1.1.4: Property Recognition Activity  College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Whole Numbers Exercises"  Complete the oddnumbered exercises for 5165 on pages 26 and 27 of the textbook. These exercises can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply addition laws and properties. The solutions to these problems are located in the "Answers" section on page 30 of the textbook. The solutions page can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "Answers"). 
College of the Redwoods: "PreAlgebra Textbook: Applications  Geometry"  Study the section titled "Applications  Geometry" on pages 21 and 22 of the textbook. The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "Applications  Geometry"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Example 5 on page 21 and Examples 6 and 7 on page 22. This reading provides applications to the properties and laws of addition. 

College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Whole Numbers Exercises"  Complete the oddnumbered exercises for 1127 on page 25 and the oddnumbered exercises for 6779 on page 27 of the textbook. These exercises can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize addition laws and properties and apply the concepts. The solutions to these problems are located in the "Answers" section on page 30 of the textbook. The solutions page can also be located through the bookmark on the left side (1 The Whole Numbers, 1.2 Adding and Subtracting Whole Numbers, "Answers"). 

1.1.5: Inverse Property of Addition  College of the Redwoods: "PreAlgebra Textbook: The Additive Inverse"  Study the "Additive Inverse" located on page 120 of the textbook, including Example 8. The material can also be located through the bookmark on the left side (2 The Integers, 2.2 Adding Integers, "Properties of Addition of Integers"), which will take you directly to the reading. After you study and read this section, complete the "You Try It" problem next to Exercise 8. This reading provides an example of the property and the formal definition of the Additive Inverse Property. 
Khan Academy: "Inverse Property of Addition"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how the Inverse Property of Addition results in zero. 

1.2.1: Commutative Law of Multiplication  Khan Academy: "Commutative Law of Multiplication"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how changing the order of the multiplication of two numbers obtains the same result. 
College of the Redwoods: "PreAlgebra Textbook: The Commutative Property of Multiplication"  Study the introduction to "Multiplication and Division of Whole Numbers" on page 33 and continue through "The Commutative Property of Multiplication" on page 34. The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Commutative Property of Multiplication. 

1.2.2: Associative Law of Multiplication  College of the Redwoods: "PreAlgebra Textbook: The Associative Property of Multiplication"  Study "The Associative Property of Multiplication" on page 35 of the textbook. The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "The Associative Property of Multiplication), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Associative Property of Multiplication. 
Khan Academy: "Associative Law of Multiplication"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to associate the multiplication of three numbers to obtain the same result. 

1.2.3: Identity Property of Multiplication  Khan Academy: "Identity Property of 1"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how multiplying any number by one results in the original number. 
College of the Redwoods: "PreAlgebra Textbook: The Multiplicative Identity"  Study "The Multiplicative Identity" on page 34 of the textbook. The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "The Multiplicative Identity"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Multiplicative Property. 

1.2.4: Property Recognition Activity  College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Whole Numbers Exercises"  Complete the oddnumbered exercises for 527 on page 44 of the textbook. These exercises can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize addition laws and properties and apply these concepts. The solutions to these problems are located in the "Answers" section on page 49 of the textbook. The solutions page can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Answers"). 
College of the Redwoods: "PreAlgebra Textbook: Application  Area"  Study the section titled "Application Area" through Example 4 on pages 42 and 43 of the textbook. The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Applications  Area"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Example 4 on page 43. This reading provides applications to the properties and laws of multiplication. 

College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Whole Numbers Exercises"  Complete the oddnumbered exercises for 4959 on pages 45 and 46 of the textbook. These exercises can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to find the area of rectangles as well apply multiplication such as if a math tutor was paid $20 per hour and worked 20 hours, how much would the tutor get paid? The solutions to these problems are located in the "Answers" section on page 50 of the textbook. The solutions page can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Answers"). 

1.2.5: Inverse Property of Multiplication  Khan Academy: "Inverse Property of Multiplication"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how the inverse property of multiplication results in one. 
College of the Redwoods: "PreAlgebra Textbook: The Multiplicative Inverse Property"  Study "The Multiplicative Inverse Property" through Example 1 on pages 266 and 267 of the textbook. The material can also be located through the bookmark on the left side (4 Fractions, 4.3 Reciprocals, "The Multiplicative Inverse Property"), which will take you directly to the material. After you read and study this section, attempt the "You Try It" problem beside Example 1. Check your answer on page 267. This reading provides an example of the property and the formal definition of the Multiplicative Inverse Property. 

1.2.6: Multiplication by Zero  College of the Redwoods: "PreAlgebra Textbook: Multiplication by Zero"  Study the section titled "Multiplication by Zero" on pages 34 and 35 of the textbook. You may stop when you reach the section titled "The Associative Property of Multiplication." The material can also be located through the bookmark on the left side (1 Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Multiplication by Zero"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of the Multiplication by Zero. 
1.3: Dividing by Zero Is Undefined  College of the Redwoods: "PreAlgebra Textbook: Division by Zero Is Undefined"  Study the section titled "Division by Zero Is Undefined" on page 40 of the textbook, stopping at "Dividing Larger Whole Numbers." The material can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Division by Zero is Undefined"), which will take you directly to the reading. This reading provides an example of the property and the formal definition of why division by zero is undefined. 
College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Whole Numbers Exercises"  Complete the oddnumbered exercises for 6975 on page 46 of the textbook. The exercises can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply multiplication laws and properties. The solutions to these problems are located in the "Answers" section on page 50 of the textbook. The solutions page can also be located through the bookmark on the left side (1 The Whole Numbers, 1.3 Multiplication and Division of Whole Numbers, "Answers"). 

Khan Academy: "Why Dividing by Zero Is Undefined"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain why dividing by zero is undefined. 

1.4: Distributive Property  Khan Academy: "The Distributive Property"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to explain how the distributive property applies with an addition expression. Watch the second presentation carefully two or three times until you are able to explain how the distributive property applies with a subtraction expression. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Mental ArithmeticUsing the Distributive Property"  Read "The Distributive Property" section through "Sample Set A." Then, complete "Practice Set A," exercises 17. The solutions to the problems are revealed below each problem. These problems will allow you to practice using the distributive property to simplify algebraic expressions. 

Unit 2: Order of Operations  Unit 2 Learning Outcomes  
2.1: Greatest Common Divisor/Factor  Khan Academy: "Greatest Common Divisor"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to solve problems finding the greatest common divisor/factor. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: The Greatest Common Factor"  Read the section on "The Greatest Common Factor (GCF)" through "Sample Set A." Look closely at the section titled "A Method for Determining the Greatest Common Factor." Then, complete "Practice Set A," exercises 14 and the evennumbered problems for 620. The solutions to the problems are shown below each problem. These problems will allow you to practice finding the greatest common factor between numbers. 

Khan Academy: "Greatest Common Divisor"  Complete the "Greatest Common Divisor" assignment. This assignment incorporates concepts from the greatest common divisor. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. For this assignment, you will compute your answer and type it into the answer box. You may then click on "Check Answer" to see if you were correct or if you need to try again. 

2.2: Least Common Multiple  Khan Academy: "Least Common Multiple"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to solve problems finding the least common multiple. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: The Least Common Multiple"  Read the "Least Common Multiple" section. Start with the "Multiples" section, and then complete "Practice Set A," exercises 13. Continue with the "Common Multiples" section, and then complete "Practice Set B," exercises 68. Finish by reading "The Least Common Multiple (LCM)" section, and then complete "Practice Set C," exercises 1113. Then, complete the evennumbered problems for 1644. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice finding the least common multiple between numbers. 

Khan Academy: "Least Common Multiple"  Complete the "Least Common Multiple" assignment. This assignment incorporates concepts from the least common multiple. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. For this assignment, you will compute your answer and type it into the answer box. You may then click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "LCM and GCF Word Problems"  Watch this video, which consists of two least common multiple and greatest common factor word problems. Pause the video after each problem has been given, and try to work out the answer on your own before coming back to the video to check your answer. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. 

2.3.1: Negative Numbers Introduction  Khan Academy: "Negative Numbers Introduction"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to understand how negative numbers work. 
2.3.2: Adding Negative Numbers  College of the Redwoods: "PreAlgebra Textbook: Adding Integers with Like Signs"  Study the section titled "Adding Integers with Like Signs" on pages 115117 of the textbook. You may stop when you reach the section titled "Adding Integers with Unlike Signs" on page 117. The material can also be located through the bookmark on the left side (2 The Integers, 2.2 Adding Integers, "Adding Integers with Like Signs"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 1 and 2 on page 115 and Example 3 on page 116. This material provides examples of adding two positive and two negative integers. 
Khan Academy: "Adding Negative Numbers"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to add negative numbers. 

2.3.3: Adding Integers with Different Signs  Khan Academy: "Adding Integers with Different Signs"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to add integers with different signs. 
College of the Redwoods: "PreAlgebra Textbook: Adding Integers with Unlike Signs"  Study the section titled "Adding Integers with Unlike Signs" on pages 117119 of the textbook. You may stop when you reach the section titled "Properties of Addition of Integers" on page 119. The material can also be located through the bookmark on the left side (2 The Integers, 2.2 Adding Integers, "Adding Integers with Like Signs"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Example 4 on page 117 and Example 5 on page 118. This material provides examples of adding one positive and one negative integer. 

College of the Redwoods: "PreAlgebra Textbook: Adding Integers Exercises"  Complete the oddnumbered exercises for 1335 and 6583 on pages 124 and 125 of the textbook. The exercises can also be located through the bookmark on the left side (2 The Integers, 2.2 Adding Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize addition properties as well as determine the profit and loss for a company. The solutions to these problems are located in the "Answers" section on page 126 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.2 Adding Integers, "Answers"). 

2.3.4: Adding/Subtracting Negative Numbers  College of the Redwoods: "PreAlgebra Textbook: Subtracting Integers Exercises"  Complete the oddnumbered exercises for 123 and 5159 on pages 133 and 134 of the textbook. The exercises can also be located through the bookmark on the left side (2 The Integers, 2.3 Subtracting Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize subtraction and properties and apply the concepts when dealing with a temperature change and comparing highest and lowest points. The solutions to these problems are located in the "Answers" section on page 135 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.3 Subtracting Integers, "Answers"). 
Khan Academy: "Adding/Subtracting Negative Numbers"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to subtract integers. 

College of the Redwoods: "PreAlgebra Textbook: Subtracting Integers"  Study the section titled "Subtracting Integers" on pages 128 through 132. The material can also be located through the bookmark on the left side (2 The Integers, 2.3 Subtracting Integers, "Subtracting Integers"), which will take you directly to the reading. After reading and studying the "Subtracting Integers" section, complete the "You Try It" problems beside Example 1 on page 129 and Example 4 on page 131. This material provides examples of subtracting integers. 

Khan Academy: "Adding Negative Numbers"  Complete the "Adding Negative Numbers" assessment. This quiz incorporates concepts from negative numbers introduction, adding negative numbers, adding integers with different signs, and adding/subtracting negative numbers. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. For this quiz, you will compute your answer and type it into the answer box. You may then click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Negative Number Word Problems"  Complete the "Negative Number Word Problems" assignment. This assignment incorporates concepts from negative numbers introduction, adding negative numbers, adding integers with different signs, and adding/subtracting negative numbers. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. For this assignment, you will compute your answer and type it into the answer box. You may then click on "Check Answer" to see if you were correct or if you need to try again. 

2.3.5: Multiplying Positive and Negative Numbers  Khan Academy: "Multiplying Positive and Negative Numbers"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to multiply integers with different signs. 
College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers"  Study the sections titled "Multiplication and Division of Integers" on pages 137 and 138 as well as "Multiplying by Minus One" and "The Product of Two Integers" on pages 140142 of the textbook. The material can also be located through the bookmark on the left side (2 The Integers, 2.4 "Multiplication and Division of Integers") and (2 The Integers, 2.4 Multiplication and Division of Integers, "Multiplying by Minus One"), which will take you directly to the readings. After reading and studying these sections, complete the "You Try It" problems beside Examples 1 and 2 on pages 141 and 142. This material provides examples of multiplication of integers and rules associated with each problem. 

College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers Exercises"  Complete the oddnumbered exercises for 1747 as well as problem 85 on pages 145 through 147 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize multiplication properties and apply these concepts. The solutions to these problems are located in the "Answers" section on page 147 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Answers"). 

2.3.6: Dividing Positive and Negative Numbers  Khan Academy: "Dividing Positive and Negative Numbers"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to explain how to divide integers with different signs. 
College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers"  Study the section titled "Division of Integers" on pages 143 and 144 of the textbook. The material can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Division of Integers"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Example 4 on page 144. This reading provides examples of division of integers and rules associated with each problem. 

College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers Exercises"  Complete the oddnumbered exercises for 6183 on page 146 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to recognize division properties and apply these concepts. The solutions to these problems are located in the "Answers" section on page 147 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Answers"). 

Khan Academy: "Multiplying and Dividing Negative Numbers"  Complete the "Multiplying and Dividing Negative Numbers" assignment. This assignment incorporates concepts from multiplying and dividing negative numbers. It may help to review the concepts associated with the questions by revisiting the Khan videos in Unit 2. For this assignment, you will compute your answer and type it into the answer box. You may then click on "Check Answer" to see if you were correct or if you need to try again. 

2.4.1: Understanding Exponents  Khan Academy: "Understanding Exponents"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to explain how to write a problem in exponential notation. Watch the second presentation carefully two or three times until you are able to explain how to simplify a problem in exponential notation. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Exponential Notation"  Read the section titled "Exponential Notation." Read the introductory text on exponential notation through "Sample Set A." Then, complete "Practice Set A," exercises 16. Continue with the "Reading Exponential Notation" subsection. Then, complete the oddnumbered exercises for 1529 and 3157. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to understand the basics of exponential notation. 

2.4.2: Level One Exponents  Khan Academy: "Level 1 Exponents"  Watch this video and take notes. Watch the presentation carefully two or three times until you are able to explain how to simplify exponents with a positive and negative bases as well as exponents to the zero power. 
College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers"  Study Example 3 located on page 142 of the textbook. After reading and studying this example, complete the "You Try It" problems beside Example 3. This material provides an example of exponential notation with negative signs and bases. 

College of the Redwoods: "PreAlgebra Textbook: Multiplication and Division of Integers Exercises"  Complete the oddnumbered problems for 4959 on page 146 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to simplify exponent problems with negative bases. The solutions to these problems are located in the "Answers" section on page 147 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.4 Multiplication and Division of Integers, "Answers"). 

Khan Academy: "Positive and Zero Exponents"  Complete the assessment that tests your knowledge on positive and zero exponents. This incorporates concepts from positive exponents with a positive or negative base and zero exponents. You can review the concepts associated with the questions with the Khan videos in Unit 2. Answer each question by inputting your calculation into the answer box. You may click on "Check Answer" to check if your answers are correct or if you need to try again. 

2.5.1: Introduction to Order of Operations  Khan Academy: "Introduction to Order of Operations"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to apply the process of the order of operations. 
College of the Redwoods: "PreAlgebra Textbook: Order of Operations with Integers"  Read the section titled "Order of Operations with Integers" on pages 148150 of the textbook, stopping at "Evaluating Fractions." The material can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 2 and 4 on page 149. This material provides examples of order of operations with integers. 

College of the Redwoods: "PreAlgebra Textbook: Order of Operations with Integers Exercises"  Complete the oddnumbered problems for 139 on page 152 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply the process of the order of operations. The solutions to these problems are located in the "Answers" section on page 154 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Answers"). 

2.5.2: Order of Operations  Khan Academy: "Order of Operations Examples"  Take notes as you watch these videos. Watch the presentations carefully two or three times until you are able to apply the process of the order of operations to more complicated problems. 
College of the Redwoods: "PreAlgebra Textbook: Order of Operations with Integers Exercises"  Complete the "You Try It" problem beside Example 3 on page 149. Then, complete the oddnumbered problems for 4553 as well as 59, 61, 67, 69, 73, 75, and 77 on page 153 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Exercises"), which will take you directly to the material. These exercises will provide you with the opportunity to apply the process of the order of operations to more complicated problems. The solutions to these problems are located in the "Answers" section on page 154 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Answers"). 

College of the Redwoods: "PreAlgebra Textbook: Evaluating Fractions"  Review the section titled "Evaluating Fractions," including Example 6, on page 150 of the textbook. The material can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Evaluating Fractions"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problem beside Example 6 on page 150. This material provides examples of order of operations while evaluating fractions. 

College of the Redwoods: "PreAlgebra Textbook: Order of Operations with Integers Exercises"  Complete the oddnumbered problems for 81103 on pages 153 and 154 of the textbook. These exercises can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Exercises"), which will take you directly to the material. These exercises will provide you with the opportunity to apply the process of the order of operations to more complicated problems. The solutions to these problems are located in the "Answers" section on page 154 of the textbook. The solutions page can also be located through the bookmark on the left side (2 The Integers, 2.5 Order of Operations with Integers, "Answers"). 

Khan Academy: "Order of Operations"  Complete the assessment, which tests your knowledge on order of operations. You can review these concepts associated with the questions with the Khan videos in subunit 2.5. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Unit 3: Fractions  Unit 3 Learning Outcomes  
3.1.1: Identifying Fraction Parts  Khan Academy: "Identifying Fraction Parts"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to identify the numerator and denominator of a fraction. Watch the second presentation carefully two or three times until you are able to identify parts of a fraction. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Fractions of Whole Numbers"  Read "Fractions of Whole Numbers," "The Parts of a Fraction," and "Reading and Writing Fractions" sections. Then, complete "Practice Set A," exercises 15 and "Practice Set B," exercises 617. The solutions to the problems are shown directly below each problem. These problems will allow you to practice identifying numerators and denominators as well as writing fractions by using words. 

Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Fractions of Whole Numbers"  Complete every fourth problem for 1846 and the evennumbered problems for 4864. The solutions to the problems are shown directly below each problem. These problems will allow you to practice identifying numerators and denominators. This includes determining the numerator and denominator from problems such as "you need 3/4 of a cup of sugar to make a batch of cookies." 

3.1.2: Equivalent Fractions  Khan Academy: "Equivalent Fractions" and "Comparing Fractions"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to identify equivalent fractions. Watch the second presentation carefully two or three times until you are able to compare fractions. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Equivalent Fractions"  Read the "Equivalent Fractions" section through "Sample Set A." Then, complete "Practice Set A," exercises 15. The solutions to the problems are shown directly below each problem. These problems will allow you to practice identifying if pairs of fractions are equivalent. 

Khan Academy: "Equivalent Fractions"  Complete the assignments, which test your knowledge on equivalent fractions. You can review the concepts associated with the questions the Khan videos in subunit 3.1.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Equivalent Fractions 2"  Complete the assignments, which test your knowledge on equivalent fractions. You can review the concepts associated with the questions the Khan videos in subunit 3.1.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.1.3.1: Proper and Improper Fractions  Khan Academy: "Proper and Improper Fractions"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to identify proper and improper fractions. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Proper Fractions, Improper Fractions, and Mixed Numbers"  Read the "Positive Proper Fractions" and "Positive Improper Fractions" sections. This reading provides examples of proper and improper fractions. Then, complete the oddnumbered problems 1125. The solutions to the problems are shown directly below each problem. These problems will allow you to determine a proper fraction, improper fraction, or a mixed number. 

3.1.3.2: Mixed Numbers and Improper Fractions  Khan Academy: "Mixed Numbers and Improper Fractions"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to understand mixed numbers and improper fractions. 
3.1.3.3.1: Changing Improper Fractions to Mixed Numbers  Khan Academy: "Changing an Improper Fraction to a Mixed Number"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to understand changing an improper fraction to a mixed number. 
College of the Redwoods: "PreAlgebra Textbook: Changing Improper Fractions to Mixed Fractions"  Review the section titled "Changing Improper Fractions to Mixed Fractions" on pages 293295 of the textbook, stopping at "Multiplying and Dividing Mixed Fractions." The material can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Changing Improper Fractions to Mixed Fractions"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 46 on pages 294 and 295. This material provides examples of converting an improper fraction to a mixed fraction. 

Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Proper Fractions, Improper Fractions, and Mixed Numbers"  Read the "Converting Improper Fractions to Mixed Numbers" section. Then, complete "Practice Set A," exercises 16. The solutions to the problems are shown directly below each problem. These problems will allow you to practice converting an improper fraction to a mixed number. Then, complete the oddnumber exercises 2739. The solutions to the problems are shown directly below each problem. These problems will allow you to practice converting an improper fraction to a mixed number. 

3.1.3.3.2: Changing Mixed Numbers to Improper Fractions  Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Proper Fractions, Improper Fractions, and Mixed Numbers"  Read the "Converting Mixed Numbers to Improper Fractions" section. Then, complete "Practice Set B," exercises 710. The solutions to the problems are shown directly below each problem. These problems will allow you to practice converting a mixed number to an improper fraction. 
Khan Academy: "Changing Mixed Numbers to Improper Fractions"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to understand changing an improper fraction to a mixed number. 

Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Proper Fractions, Improper Fractions, and Mixed Numbers"  Complete the oddnumbered problems 4155. The solutions to the problems are shown directly below each problem. These problems will allow you to practice converting a mixed number and an improper fraction. 

Khan Academy: "Converting Mixed Numbers and Improper Fractions"  Complete the assignment that tests your knowledge of converting fractions. This assignment incorporates concepts from converting mixed numbers to improper fractions and vice versa. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.1.3.3. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.1.4: Fractions in Lowest Terms  Khan Academy: "Fraction in Lowest Terms"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to reduce fractions to lowest terms. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Equivalent Fractions, Reducing Fractions to Lowest Terms, and Raising Fractions to Higher Terms"  Read the "Reducing Fractions to Lowest Terms" section. Then, complete "Practice Set B," exercises 611 and "Practice Set C," exercises 1217. The solutions to the problems are shown directly below each problem. These problems will allow you to practice reducing fractions to their lowest terms. Then, complete the oddnumbered problems for 6177 as well as the oddnumbered problems for 89113. The solutions to the problems are shown directly below each problem. These problems will allow you to practice reducing fractions to their lowest terms as well as determine fractional parts of a day. 

3.1.5: Fractions in Highest Terms  Khan Academy: "Equivalent Fractions Example"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to solve an application of raising fractions to highest terms. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Equivalent Fractions, Reducing Fractions to Lowest Terms, and Raising Fractions to Higher Terms"  Read the "Raising Fractions to Higher Terms" section. Then, complete "Practice Set D," exercises 1822. The solutions to the problems are shown directly below each problem. These problems will allow you to find the missing numerator and denominator. Complete the oddnumbered problems for 3953. The solutions to the problems are shown directly below each problem. These problems will allow you to practice reducing fractions to their lowest terms. 

3.1.6: Finding Common Denominators  Khan Academy: "Finding Common Denominators"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to rewrite fractions with a least common denominator. 
3.2.1.1: Adding Fractions with Like Denominators  Khan Academy: "Adding Fractions with Like Denominators"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able add fractions with common denominators. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Addition and Subtraction of Fractions with Like Denominators"  Read the "Addition of Fractions with Like Denominators" section. Then, complete "Practice Set A," exercises 14. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice adding fraction with like denominators. 

Khan Academy: "Adding Fractions with Common Denominators"  Complete the assignment that tests your knowledge of adding fractions. This assignment incorporates concepts from adding fractions with like denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.1.2: Subtracting Fractions with Like Denominators  Khan Academy: "Subtracting Fractions"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able subtract fractions with common denominators. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Addition and Subtraction of Fractions with Like Denominators"  Read the "Subtraction of Fractions with Like Denominators" section. Then, complete "Practice Set B," exercises 59. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice subtracting fractions with like denominators. Then, complete the oddnumbered problems for 1135 and 39. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice adding and subtracting fractions with like denominators. 

Khan Academy: "Subtracting Fractions with Common Denominators"  Complete the assignment that tests your knowledge of subtracting fractions. This assignment incorporates concepts from subtracting fractions with like denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.1.3: Adding Fractions with Unlike Denominators  Khan Academy: "Adding Fractions"  Take notes as you watch these videos. View the presentations carefully two or three times until you are able add fractions with unlike denominators. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Addition and Subtraction of Fractions with Unlike Denominators"  Read the "Addition and Subtraction of Fractions" section stopping at "Sample Set A," Example 3. Then, complete "Practice Set A," exercise 1. The solutions to the problem can be revealed by the "Show Solution" link under each problem. This reading and exercise will allow you to practice adding fractions with unlike denominators. 

Khan Academy: "Adding Fractions"  Complete the assignment that tests your knowledge of adding fractions. This assignment incorporates concepts from adding fractions with unlike denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.1.4: Subtracting Fractions with Unlike Denominators  Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Addition and Subtraction of Fractions with Unlike Denominators"  Read starting at "Sample Set A," Example 3, through the "Addition and Subtraction of Fractions" section. Then, complete "Practice Set A," exercises 25. The solutions to the problems are shown directly below each problem. These problems will allow you to practice subtracting fractions with unlike denominators. Then, complete the evennumbered problems 636. The solutions to the problems are shown directly below each problem. These problems will allow you to add and subtract fractions with unlike denominators. 
Khan Academy: "Subtracting Fractions"  Complete the assignment that tests your knowledge of subtracting fractions. This assignment incorporates concepts from subtracting fractions with unlike denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.1.5: Adding and Subtracting Fractions with Different Signs  College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Fractions with Different Denominators"  Study the "Adding and Subtracting Fractions with Different Denominators" on pages 277279 of the textbook. The material may also be located through the bookmark on the left side (4 Fractions, 4.4 Adding and Subtracting Fractions, "Adding and Subtracting Fractions with Different Denominators"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 4 and 5 on page 279. This material provides examples of subtracting fractions with different signs. 
College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Fractions Exercises"  Complete the oddnumbered exercises for 69103 on pages 287 through 288 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.4 Adding and Subtracting Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to add and subtract fractions with different signs. The solutions to these problems are located in the "Answers" section on page 289 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.4 Adding and Subtracting Fractions, "Answers"). 

Khan Academy: "Adding and Subtracting Fractions"  Complete the assessment that tests your knowledge on adding and subtracting fractions. This quiz incorporates concepts from adding and subtracting fractions with like and unlike denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.2.1: Adding Mixed Numbers with Like Denominators  Khan Academy: "Adding Subtracting Mixed Numbers"  Take notes as you watch these videos. View each presentation carefully two or three times until you are able add mixed numbers with common denominators. 
3.2.2.2: Subtracting Mixed Numbers with Like Denominators  Khan Academy: "Adding Subtracting Mixed Numbers 0.5 (ex 2)"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able subtract mixed numbers with common denominators. 
3.2.2.3: Adding Mixed Numbers with Unlike Denominators  Khan Academy: "Adding and Subtracting Mixed Numbers"  Take notes as you watch these videos. View each presentation carefully two or three times until you are able add mixed numbers with unlike denominators. 
College of the Redwoods: "PreAlgebra Textbook: Adding Mixed Fractions"  Study the "Adding Mixed Fractions" section on pages 301303 of the textbook. The material may also be located through the bookmark on the left side (4 Fractions, 4.6 Adding and Subtracting Mixed Fractions, "Adding Mixed Fractions"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 1, 2, and 3 on pages 301 and 302. This material provides examples of subtracting fractions with different signs. 

3.2.2.4: Subtracting Mixed Numbers with Unlike Denominators  Khan Academy: "Subtracting Mixed Numbers"  Take notes as you watch these videos. View each presentation carefully two or three times until you are able subtract mixed numbers with unlike denominators. 
College of the Redwoods: "PreAlgebra Textbook: Subtracting Mixed Fractions"  Study the "Subtracting Mixed Fractions" section 9 on pages 304307 of the textbook, stopping at Example 9. The material may also be located through the bookmark on the left side (4 Fractions, 4.6 Adding and Subtracting Mixed Fractions, "Subtracting Mixed Fractions"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems next to Examples 5 through 8 on pages 304306. This material provides examples of subtracting mixed fractions. 

Khan Academy: "Adding Subtracting Mixed Numbers 0.5"  Complete the assignments that tests your knowledge of adding and subtracting mixed numbers. These assignments incorporate concepts from adding and subtracting mixed numbers with like and unlike denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Adding Subtracting Mixed Numbers 1"  Complete the assignments that tests your knowledge of adding and subtracting mixed numbers. These assignments incorporate concepts from adding and subtracting mixed numbers with like and unlike denominators. You can review the concepts associated with the questions with the Khan videos in subsubunit 3.2.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.2.3: Applications of Adding and Subtracting Fractions  Khan Academy: "Adding and Subtracting Mixed Numbers Word Problems"  Take notes as you watch these videos. View each presentation carefully two or three times until you are able understand applications where you add and subtract. 
College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Mixed Fractions"  Review the "Adding and Subtracting Mixed Fractions" section through Example 9 on pages 301307 of the textbook; you read this section in subsubunits 3.2.1 and 3.2.2. The material may also be located through the bookmark on the left side (4 Fractions, 4.6 Adding and Subtracting Mixed Fractions), which will take you directly to the reading. After reviewing this section, complete the "You Try It" problem next to Example 4 on page 303 and Example 9 on page 307. This material contains applications of adding and subtracting fractions. 

Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Addition and Subtraction of Fractions"  Complete the following problems: problem 39 for "Addition and Subtraction of Fractions with Like Denominators"; problems 50, 52, and 54 for "Addition and Subtraction of Fractions with Unlike Denominators"; problems 42, 44, and 46 for "Addition and Subtraction of Mixed Numbers". The solutions to the problems can be revealed by the "Show Solution" link below each problem, or may be found directly below the problem. These problems will allow you to practice adding and subtracting fractions with unlike denominators, which include finding amounts needed for recipes and finding the cost after an increase. 

3.2.4.1: Multiplying Fractions  Khan Academy: "Multiplying Fractions"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to multiply fractions. 
College of the Redwoods: "PreAlgebra Textbook: Multiplying Fractions"  Study the "Multiply Fractions" section on pages 249252, stopping at Example 5 on page 252 of the textbook. The material may also be located through the bookmark on the left side (4 Fractions, 4.2 Multiplying Fractions), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems next to Examples 2, 3, and 4 on pages 251 and 252. This material contains examples of multiplying fractions. Then, complete the oddnumbered exercises for 527 on page 260 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.2 Multiplying Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to multiply fractions. The solutions to these problems are located in the "Answers" section on page 263 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.2 Multiplying Fractions, "Answers"). 

3.2.4.2: Multiplying Mixed Numbers  Khan Academy: "Multiplying Fractions and Mixed Numbers"  Take notes as you watch these videos. View the presentations carefully two or three times until you are able to multiply mixed numbers. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Multiplying Mixed Numbers"  Read "Multiplication of Mixed Numbers" section stopping at the "Powers and Roots of Fraction" section. Then, complete "Practice Set C," exercises 1720. The solutions to the problems are shown directly below each problem. These problems will allow you to practice multiplying mixed numbers. 

College of the Redwoods: "PreAlgebra Textbook: Multiplying and Dividing Mixed Fractions Exercises"  Complete the oddnumbered exercises for 2547 on pages 297 and 298 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to multiply mixed numbers. The solutions to these problems are located in the "Answers" section on page 299 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Answers"). 

3.2.5.1: Dividing Fractions  Khan Academy: "Dividing Fractions"  Take notes as you watch these videos. View the presentations carefully two or three times until you are able to divide fractions. 
College of the Redwoods: "PreAlgebra Textbook: Dividing Fractions"  Study the "Division" section on pages 267 and 268 of the textbook. The material may also be located through the bookmark on the left side (4 Fractions, 4.3 Dividing Fractions, "Division"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems next to Examples 2, 3, and 4 on pages 267 and 268. This material contains examples of dividing fractions. Then, complete the oddnumbered exercises for 3367 on page 271 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.3 Dividing Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to divide fractions. The solutions to these problems are located in the "Answers" section on page 273 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.3 Dividing Fractions, "Answers"). 

3.2.5.2: Dividing Mixed Numbers  Khan Academy: "Dividing Mixed Numbers"  Take notes as you watch these videos. View the presentations carefully two or three times until you are able to divide fractions. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Division of Fractions"  Read Examples 79 under "Division of Fractions" section, stopping at the "Powers and Roots of Fraction" section. Then, complete "Practice Set B," exercises 1113. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice dividing mixed numbers. 

College of the Redwoods: "PreAlgebra Textbook: Multiplying and Dividing Mixed Fractions Exercises"  Complete the oddnumbered exercises for 4971 on pages 298 and 299 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to divide mixed numbers. The solutions to these problems are located in the "Answers" section on page 299 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Answers"). 

3.2.6: Applications of Multiplying and Dividing Fractions  Khan Academy: "Multiplying and Dividing Fractions Word Problems"  Take notes as you watch these videos. Each link will direct you to a series of videos and practice exercises that address these topics. Watch both presentations carefully until you are able to apply the multiplication and division of fractions to a word problem. 
College of the Redwoods: "PreAlgebra Textbook: Multiplying and Dividing Fraction Exercises"  Study the "Parallelograms" and "Triangles" sections on pages 255258 of the textbook, stopping at "Identifying the Base and Altitude." The material may also be located through the bookmark on the left side (4 Fractions, 4.3 Dividing Fractions, "Parallelograms"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 8 and 9 on pages 256 and 257. This material contains examples of dividing fractions. Then, complete the oddnumbered exercises for 5769 on page 262 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.2 Multiplying Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply multiplying fractions by finding the areas of parallelograms and triangles. The solutions to these problems are located in the "Answers" section on page 263 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.2 Multiplying Fractions, "Answers"). Then, complete problems 73 and 75 on page 299 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Exercises"), which will take you directly to the material. These exercises will provide you with the opportunity to practice dividing fractions by dividing fields and cutting jewelry into pieces. The solutions to these problems are located in the "Answers" section on page 299 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.5 Multiplying and Dividing Mixed Fractions, "Answers"). 

Khan Academy: "Multiplying Fraction Word Problems"  Complete the assessment that tests your knowledge on applications of multiplying and dividing fractions. You can review the concepts associated with these questions with the Khan videos in subsubunits 3.2.4 and 3.2.5. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Dividing Fraction Word Problems"  Complete the assessment that tests your knowledge on applications of multiplying and dividing fractions. You can review the concepts associated with these questions with the Khan videos in subsubunits 3.2.4 and 3.2.5. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

3.3.1: Order of Operations with Fractions  Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Combination of Operations with Fractions"  Read "The Order of Operations" section, stopping at "Sample Set A," Example 5. Then, complete "Practice Set A," exercises 15 and 7. The solutions to the problems are shown directly below each problem. These problems will allow you to practice the order of operations with fractions. 
College of the Redwoods: "PreAlgebra Textbook: Order of Operations with Fractions Exercises"  Complete the oddnumbered exercises for 1735 on pages 321 and 322 of the textbook. These exercises can also be located through the bookmark on the left side (4 Fractions, 4.7 Order of Operations with Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to practice dividing fractions. The solutions to these problems are located in the "Answers" section on page 324 of the textbook. The solutions page can also be located through the bookmark on the left side (4 Fractions, 4.7 Order of Operations with Fractions, "Answers"). 

3.3.2: Complex Fractions  Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Complex Fractions"  Read "Simple Fractions and Complex Fractions" and "Converting Complex Fractions to Simple Fractions" sections, stopping at "Sample Set A," Example 5. Then, complete "Practice Set A," exercises 16. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice the order of operations with complex fractions. Then, complete the oddnumber problems for 725. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to use order of operations to simplify complex fractions. 
Unit 4: Decimals  Unit 4 Learning Outcomes  
4.1.1: Decimal Place Value  Khan Academy: "Decimal Place Value"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to understand place value. Watch the second presentation carefully two or three times until you are able to write decimals in word form. 
College of the Redwoods: "PreAlgebra Textbook: Introduction to Decimals"  Study the "Introduction to Decimals," "Decimal Notation," and "Pronouncing Decimal Numbers" sections on pages 342346 of the textbook, stopping at "Decimals to Fractions." The material may also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 16 on pages 344346. This material contains examples of decimal notation and pronouncing decimal numbers. 

College of the Redwoods: "PreAlgebra Textbook: Introduction to Decimals Exercises"  Complete the oddnumbered exercises for 139 on pages 353 and 354 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to identify decimal places and writing out decimals numbers in expanded form and words. The solutions to these problems are located in the "Answers" section on page 356 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals, "Answers"). 

4.1.2: Rounding Decimals  Khan Academy: "Rounding Decimals"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to round decimals. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Rounding Decimals"  Read the "Rounding Decimal Numbers" section through "Sample Set A." Then, complete "Practice Set A," exercises 17. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to round decimals to various positions. Then, complete the evennumbered problems for 822. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will help you practice rounding decimals to various positions. 

4.1.3: Comparing Decimals  Khan Academy: "Comparing Decimals"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to compare decimals accurately. 
College of the Redwoods: "PreAlgebra Textbook: Comparing Decimals"  Study the "Comparing Decimals" section on pages 350352 of the textbook. The material may also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals, "Comparing Decimals"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 11 and 12 on pages 351 and 352. This material contains examples of comparing decimal numbers. Then, complete the oddnumbered exercises for 8191 on page 355 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to identify decimal places and write out decimals numbers in expanded form and words. The solutions to these problems are located in the "Answers" section on page 356 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.1 Introduction to Decimals, "Answers"). 

4.1.4.1: Converting Decimals to Fractions  Khan Academy: "Converting Fractions to Decimals"  Take notes as you watch these videos. Watch these presentations carefully two or three times until you are able to convert fractions to decimals. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Converting a Fraction to a Decimal"  Read the "Converting a Fraction to a Decimal" section, stopping at "Sample Set A," Example 5. Then, complete "Practice Set A," exercises 14. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to convert fractions into decimals. Then, complete the oddnumbered problems for 731 and 3753. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to convert fractions into decimals. 

Khan Academy: "Converting Fractions to Decimals"  Complete the assignment that tests your knowledge of converting fractions to decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.1.4.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.1.4.2: Converting Decimals to Fractions  Khan Academy: "Converting Decimals to Fractions"  Take notes as you watch these videos. View these presentations carefully two or three times until you are able to convert decimals to fractions. 
Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Converting a Decimal to a Fraction"  Read the "Converting an Ordinary Decimal to a Fraction" section through "Sample Set A," and complete "Practice Set A," exercises 14. The solutions to the problems are shown directly below each problem. These problems will allow you to convert decimals into fractions. Then, complete the oddnumbered problems for 927. The solutions to the problems are shown directly below each problem. These problems will allow you to convert decimals into fractions. 

Khan Academy: "Converting Decimals to Fractions 1"  Complete the assignments that test your knowledge of converting decimals to fractions. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.1.4.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Converting Decimals to Fractions 2"  Complete the assignments that test your knowledge of converting decimals to fractions. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.1.4.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.1.4.3: Converting Repeating Decimals to Fractions  Khan Academy: "Converting Repeating Decimals to Fractions"  Take notes as you watch these videos. View these presentations carefully two or three times until you are able to convert repeating decimals to fractions. 
4.2.1.1: Adding Decimals  Khan Academy: "Adding Decimals"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to add decimals. 
College of the Redwoods: "PreAlgebra Textbook: Adding Decimals"  Study the "Adding Decimals" section on pages 359361 of the textbook, stopping at "Subtracting Decimals." The material may also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Adding Decimals"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 14 on pages 359361. This material contains examples of adding decimal numbers. Then, complete the oddnumbered exercises for 111 on page 366 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to adding decimal numbers. The solutions to these problems are located in the "Answers" section on page 368 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Answers"). 

Khan Academy: "Adding Decimals"  Complete the assignment that tests your knowledge of adding decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.1.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Adding Decimals: Hundredths"  Complete the assignment that tests your knowledge of adding decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.1.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.2.1.2: Subtracting Decimals  Khan Academy: "Subtracting Decimals"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to subtract decimals. Watch the second presentation carefully two or three times until you are able to add and subtract decimals in application. 
College of the Redwoods: "PreAlgebra Textbook: Subtracting Decimals"  Study the "Subtracting Decimals" section on pages 361 and 362 of the textbook, stopping at "Adding and Subtracting Signed Decimal Numbers." The material may also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Subtracting Decimals"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 5 and 6 on pages 361 and 362. This material contains examples of subtracting decimal numbers. Then, complete the oddnumbered exercises for 1323 and 8187 on page 366 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply the addition and subtraction of decimals. The solutions to these problems are located in the "Answers" section on page 368 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Answers"). 

Khan Academy: "Subtracting Decimals"  Complete the assignment that tests your knowledge of subtracting decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.1.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Subtracting Decimals: Hundredths"  Complete the assignment that tests your knowledge of subtracting decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.1.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.2.1.3: Adding and Subtracting Signed Decimal Numbers  College of the Redwoods: "PreAlgebra Textbook: Adding and Subtracting Signed Decimal Numbers"  Study the "Adding and Subtracting Signed Decimal Numbers" section on pages 362364 of the textbook. The material may also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Adding and Subtracting Signed Decimal Numbers"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 710 on pages 362364. This material contains examples of adding and subtracting signed decimal numbers. Then, complete the oddnumbered exercises for 2563 on page 366 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to add and subtract signed decimals numbers. The solutions to these problems are located in the "Answers" section on page 368 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.2 Adding and Subtracting Decimals, "Answers"). 
4.2.2.1: Multiplying Decimals  Khan Academy: "Multiplying Decimals"  Take notes as you watch this video. Watch the presentation carefully two or three times until you are able to multiply decimals. 
College of the Redwoods: "PreAlgebra Textbook: Multiplying Decimals"  Study the "Multiplying Decimals" section on pages 370373 of the textbook, stopping at "Multiplying Signed Decimal Numbers." Then, read "The Circle" section on pages 376380. The material may also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals) and (5 Decimals, 5.3 Multiplying Decimals, "The Circle"), which will take you directly to the readings. After reading and studying these sections, complete the "You Try It" problems beside Examples 13 on pages 370373 and Examples 9 and 10 on pages 378380. This material contains examples of multiplying decimal numbers and its applications. Then, complete the oddnumbered exercises for 127 and 89105 on page 381 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to multiply decimals numbers and study applications of multiplying decimals, which include finding the total cost of items. The solutions to these problems are located in the "Answers" section on page 384 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Answers"). 

4.2.2.2: Multiplying Signed Decimal Numbers  College of the Redwoods: "PreAlgebra Textbook: Multiplying Signed Decimal Numbers"  Study the "Multiplying Signed Decimal Numbers" section on pages 373 and 374 of the textbook, stopping at "Order of Operations." The material may also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Multiplying Signed Decimal Numbers"), which will take you directly to the material. After reading and studying this section, complete the "You Try It" problems beside Examples 4 and 5 on pages 373 and 374. This reading contains examples of multiplying signed decimal numbers. Then, complete the oddnumbered exercises for 2955 on page 381 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to multiply signed decimals numbers. The solutions to these problems are located in the "Answers" section on page 385 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Answers"). 
Khan Academy: "Multiplying Decimals"  Complete this assignment that tests your knowledge of operations with decimals. This assignment incorporates concepts on multiplying decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.2.1, and 4.2.2.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.2.2.3: Dividing Decimals  Khan Academy: "Dividing Decimals"  Take notes as you watch these videos. Watch each presentation carefully two or three times until you are able to divide decimals. 
College of the Redwoods: "PreAlgebra Textbook: Dividing Decimals"  Study the "Dividing Decimals" on pages 386390 of the textbook, stopping at "Dividing Signed Decimal Numbers." The material may also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 13 on pages 387390. This reading contains examples and applications of dividing decimal numbers. Then, complete the oddnumbered exercises for 139 and 107113 on page 395 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals, "Exercises"), which will take you directly to the material. These exercises will provide you with the opportunity to divide decimals numbers and study applications of dividing decimals, which include finding averages for a project. The solutions to these problems are located in the "Answers" section on page 399 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals, "Answers"). 

4.2.2.4: Dividing Signed Decimal Numbers  College of the Redwoods: "PreAlgebra Textbook: Dividing Signed Decimal Numbers"  Study the "Dividing Signed Decimal Numbers" section on pages 390 and 391 of the textbook, stopping at "Rounding." The material may also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals, "Dividing Signed Decimal Numbers"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Example 4 on page 390. This reading contains examples of dividing signed decimal numbers. Then, complete the oddnumbered exercises for 4163 on page 395 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to divide signed decimals numbers. The solutions to these problems are located in the "Answers" section on page 399 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.4 Dividing Decimals, "Answers"). 
Khan Academy: "Dividing Decimals"  Complete this assignment that tests your knowledge of operations with decimals. This assignment incorporates concepts on dividing decimals. You can review the concepts associated with the questions with the Khan videos in subsubunit 4.2.3.1, and 4.2.3.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

4.3: Order of Operations  College of the Redwoods: "PreAlgebra Textbook: Order of Operations"  Study the "Order of Operations" section on pages 374 and 375 of the textbook, stopping at "Powers of Ten." Then, read "Order of Operations" through Example 8 on pages 393 and 394. The material may also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Order of Operations")and (5 Decimals, 5.4 Dividing Decimals, "Order of Operations"), which will take you directly to the readings. Review only the processes involved with each problem and do not worry about substituting into the expression. This material contains examples of order of operations. Then, complete the oddnumbered exercises for 6979 on page 382 and 8999 on page 397 of the textbook. These exercises can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Exercises") and (5 Decimals, 5.4 Dividing Decimals, "Exercises"), which will take you directly to the assignments. These exercises will provide you with the opportunity to apply order of operations to decimal numbers. The solutions to these problems are located in the "Answers" section on page 384 and page 399 of the textbook. The solutions page can also be located through the bookmark on the left side (5 Decimals, 5.3 Multiplying Decimals, "Answers") and (5 Decimals, 5.4 Dividing Decimals, "Answers"). 
Unit 5: Ratios and Proportions  Unit 5 Learning Outcomes  
5.1.1: Introduction to Ratios  Khan Academy: "Introduction to Ratios"  Take notes as you watch these videos. View these presentations carefully two or three times until you are able to understand the basics of ratios. 
College of the Redwoods: "PreAlgebra Textbook: Introduction to Ratios and Rates"  Study the "Introduction to Ratios and Rates" section on pages 449451 of the textbook, stopping at "Rates." The material may also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 1 and 2 on pages 449451. This material contains examples on ratios. Then, complete the oddnumbered exercises for 123 on page 454 of the textbook. These exercises can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to write and simplify ratios. The solutions to these problems are located in the "Answers" section on page 455 of the textbook. The solutions page can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates, "Answers"). 

5.1.2: Finding Unit Rates and Prices  Khan Academy: "Finding Unit Rates and Prices"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to find unit rates. Watch the second presentation carefully two or three times until you are able to find unit prices. 
College of the Redwoods: "PreAlgebra Textbook: Rates"  Study the "Rates" and "Unit Rates" sections on pages 451453. The material may also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates, "Rates"), which will take you directly to the reading. After reading and studying these sections, complete the "You Try It" problems beside Examples 36 on pages 451453. This material contains examples on rates and unit rates. Then, complete the oddnumbered exercises for 2337 on page 454 of the textbook. These exercises can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to write and simplify rates, which includes comparing rates to see the better deal on an item. The solutions to these problems are located in the "Answers" section on page 455 of the textbook. The solutions page can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Ratios and Rates, "Answers"). 

Khan Academy: "Expressing Ratios as Fractions"  Complete the assignment that tests your knowledge of ratio word problems. This assignment incorporates concepts of ratios. You can review the concepts associated with the questions with the Khan video in subsubunit 5.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

5.2.1: Understanding Proportions  Khan Academy: "Understanding Proportions"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand the basics of proportions. 
College of the Redwoods: "PreAlgebra Textbook: Introduction to Proportions"  Study the "Introduction to Ratios and Rates" section on pages 456459 of the textbook, stopping at "Example 4." The material may also be located through the bookmark on the left side (6 Ratio and Proportion, 6.2 Introduction to Proportions), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 13 on pages 457459. This material contains examples on an introduction to proportions. Then, complete the oddnumbered exercises for 113, and 17, 19, 23, 27, 29, 31, and 35 on page 463 of the textbook. These exercises can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.2 Introduction to Proportion, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to solve proportions. The solutions to these problems are located in the "Answers" section on page 465 of the textbook. The solutions page can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Proportion, "Answers"). 

5.2.2: Applications of Proportions  Khan Academy: "Finding an Unknown in a Proportion"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand applications of proportions. 
College of the Redwoods: "PreAlgebra Textbook: Introduction to Proportions"  Review the "Introduction to Ratios and Rates" section through Example 4 on pages 456459 of the textbook; note that you already studied this material in subsubunit 5.2.1. The material may also be located through the bookmark on the left side (6 Ratio and Proportion, 6.2 Introduction to Proportions), which will take you directly to the reading. After reviewing this section, complete the "You Try It" problems beside Example 4 on page 459. This material contains examples on an introduction to proportions. Then, complete the oddnumbered exercises for 3753 on pages 464 and 465 of the textbook. These exercises can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.2 Introduction to Proportion, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to write and solve proportions, which include finding the cost of an item. The solutions to these problems are located in the "Answers" section on page 465 of the textbook. The solutions page can also be located through the bookmark on the left side (6 Ratio and Proportion, 6.1 Introduction to Proportion, "Answers"). 

Denny Burzynski and Wade Ellis' "Fundamentals of Mathematics: Applications of Proportions"  Read the "Applications of a Proportion" section. Then, complete "Practice Set A," exercises 15. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice applications of proportions. Then, complete the oddnumbered problems for 725. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice applications of proportions. 

Khan Academy: "Writing Proportions"  Complete the assignment that tests your knowledge on proportion word problems. These assignments incorporate concepts of ratios and proportions. You can review the concepts associated with the questions with the Khan video in subsubunit 5.2.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Ratio Word Problems"  Complete the assignment that tests your knowledge on proportion word problems. These assignments incorporate concepts of ratios and proportions. You can review the concepts associated with the questions with the Khan video in subsubunit 5.2.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Unit 6: Percentages  Unit 6 Learning Outcomes  
6.1.1: Describing the Meaning of Percent  Khan Academy: "Describing the Meaning of Percent"  Take notes as you watch these videos. Watch the presentations carefully two or three times until you are able understand the basics of percents. 
6.1.2.1: Decimal to Percent and Percent to Decimal  Khan Academy: "Percent and Decimals"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to convert a decimal to a percent and a percent to a decimal. 
College of the Redwoods: "PreAlgebra Textbook: Changing a Percent to a Decimal and Changing a Decimal to a Percent"  Study the "Changing a Percent to a Decimal" and "Changing a Decimal to a Percent" sections on pages 504 and 505 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Changing a Percent to a Decimal), which will take you directly to the reading. After reading and studying these sections, complete the "You Try It" problems beside Examples 47 on pages 504 and 505. This reading contains examples on changing a percent to a decimal and vice versa. Then, complete the oddnumbered exercises for 1949 on pages 508 and 509 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to change a percent to a decimal and vice versa. The solutions to these problems are located in the "Answers" section on page 510 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Answers"). 

Khan Academy: "Converting Percents to Decimals"  Complete the assignment. You can review the concepts associated with the questions with the Khan videos in subsubunit 6.1.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Converting Decimals to Percents"  Complete the assignment. You can review the concepts associated with the questions with the Khan videos in subsubunit 6.1.2.1. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

6.1.2.2: Fraction to Percent and Percent to Fraction  Khan Academy: "Representing a Number as a Decimal, Percent, and Fraction"  Take notes as you watch these video. View these presentations carefully two or three times until you are able to understand how to convert a fraction to a percent and a percent to a fraction. 
College of the Redwoods: "PreAlgebra Textbook: Changing a Percent to a Fraction and Changing a Fraction to a Percent"  Study the "Changing a Percent to a Fraction" section on pages 502504 of the textbook, stopping at "Changing a Percent to a Decimal." Then, study "Changing a Fraction to a Percent" on pages 506508 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Changing a Percent to a Fraction"), and (7 Percent, 7.1 Percent, Decimal, Fractions, "Changing a Fraction to a Percent"), which will take you directly to the readings. After reading and studying these sections, complete the "You Try It" problems beside Examples 14 on pages 502504 and Examples 810 on pages 506508. This reading contains examples of changing a percent to a fraction and vice versa. Then, complete the oddnumbered exercises for 117 and 5179 on pages 508510 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to change a percent to a decimal and vice versa. The solutions to these problems are located in the "Answers" section on page 510 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Answers"). 

6.2.1: Find a Given Percent of Another Number  College of the Redwoods: "PreAlgebra Textbook: Find a Given Percent of a Given Number"  Study "Find a Given Percent of a Given Number" on pages 512514 of the textbook, stopping at "Find a Percent Given Two Numbers." The material may also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Find a Given Percent of a Given Number), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 13 on pages 512514. This reading contains examples of finding a given percent of a given number. 
6.2.2: Find a Percent Given Two Numbers  Khan Academy: "Solving Percent Problems"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find a percent given two numbers. 
College of the Redwoods: "PreAlgebra Textbook: Find a Percent Given Two Numbers"  Study "Find a Percent Given Two Numbers" on pages 514516 of the textbook, stopping at "Find a Number That Is a Given Percent of Another Number." The material may also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Find a Percent Given Two Numbers"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 4 and 5 on pages 514516. This reading contains examples of finding a percent when given two numbers. 

6.2.3: Find a Number That Is a Given Percent of Another Number  College of the Redwoods: "PreAlgebra Textbook: Find a Number that is a Given Percent of Another Number"  Study "Find a Number That Is a Given Percent of Another Number" on pages 516 and 517 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Find a Percent Given Two Numbers"), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 6 and 7 on pages 516 and 517. This material contains examples of finding a number that is a given percent of another number. Then, complete the oddnumbered exercises for 149 on page 518 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to change a percent to a decimal and vice versa. The solutions to these problems are located in the "Answers" section on page 519 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.1 Percent, Decimal, Fractions, "Answers"). 
6.3.1: General Applications  College of the Redwoods: "PreAlgebra Textbook: General Applications of Percent"  Study "7.3 General Applications of Percent"on pages 521524 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.3 General Applications of Percent), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 14 on pages 521524. This material contains examples of percent applications. Then, complete the oddnumbered exercises for 137 on pages 525527 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.3 General Applications of Percent, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply concepts of percent. This includes determining the percent that you earned on a test, finding the amount of a population who fall under certain criteria, and finding the sales tax on specific items. The solutions to these problems are located in the "Answers" section on page 528 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.3 General Applications of Percent, "Answers"). 
6.3.2: Percent Increase or Decrease  Khan Academy: "Growing by a Percentage"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find the amount that grows or decreases by a percent. 
College of the Redwoods: "PreAlgebra Textbook: Percent Increase or Decrease"  Study the "7.4 Percent Increase or Decrease" section on pages 529537 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.4 Percent Increase or Decrease), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 16 on pages 529537. This material contains applications of percent increase or decrease. Then, complete the oddnumbered exercises for 137 on pages 538541 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.4 Percent Increase or Decrease, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to apply the percent of increase or decrease, which includes how much an item is discounted at the store, the percent of increase in a salary, and finding the new cost of a product. The solutions to these problems are located in the "Answers" section on page 541 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.4 Percent Increase or Decrease, "Answers"). 

Khan Academy: "Percentage Word Problems"  Complete this assignment, which tests your knowledge of percent word problems. The assignment incorporates concepts of solving applications of percents. You can review the concepts associated with the questions with the Khan videos in subsubunit 6.3.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Discount, Tax, and Tip Word Problems"  Complete this assignment, which tests your knowledge of percent word problems. The assignment incorporates concepts of solving applications of percents. You can review the concepts associated with the questions with the Khan videos in subsubunit 6.3.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Khan Academy: "Markup and Commission Word Problems"  Complete this assignment, which tests your knowledge of percent word problems. The assignment incorporates concepts of solving applications of percents. You can review the concepts associated with the questions with the Khan videos in subsubunit 6.3.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Unit 7: Graphs and Charts  Unit 7 Learning Outcomes  
7.1: Mean, Median, Mode, and Range  Khan Academy: "Mean, Median, Mode, and Range"  Take notes as you watch these videos. Watch these presentations carefully two or three times until you are able to understand how to find the mean, median, mode, and range of a set of numbers. 
Rory Adams' "Statistics, Grade 10: Summarizing Data"  Read the "Summarizing Data" section, stopping at the "Percentiles" section, and complete the exercise associated with each topic. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice and understand terms related to the measure of central tendency. Then, complete exercises 14, 5b, 5c, 78. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice and understand terms related to the measure of central tendency. 

7.2: StemandLeaf Plots  Khan Academy: "StemandLeaf Plots"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a stemandleaf plot. 
Barbara Illowsky and Susan Dean's "Collaborative Statistics: StemandLeaf Graphs (Stemplots)"  Read the "StemandLeaf Graphs" section, stopping at the "Line Graphs" section. Then, complete Example 2. The solution to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice how to read and create a stemandleaf graph. 

Barbara Illowsky and Susan Dean's "Collaborative Statistics: Homework"  Complete exercises 1m, 3m, and 23. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to read and create a stemandleaf graph. 

Khan Academy: "Reading Stem and Leaf Plots"  Complete the assignment on reading stem and leaf plots. You can review the concepts associated with the questions with the Khan videos in subunit 7.2. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

7.3: Line Graphs  Khan Academy: "Reading Line Graphs and Misleading Line Graphs"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to understand how to read line graphs. Watch the second presentation carefully two or three times until you are able to understand how line graphs can be misleading. 
7.4: Bar Graphs  Khan Academy: "Reading Bar Graphs"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a bar graph. 
Khan Academy: "Reading Bar Graphs"  Complete these assignments, which test your knowledge of reading and creating bar graphs. These assignments incorporate concepts of reading and creating bar charts. You can review the concepts associated with the questions with the Khan videos in subunit 7.4. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

7.5: BoxandWhisker Plots  Khan Academy: "BoxandWhisker Plots"  Take notes as you watch these videos. Watch the first presentation carefully two or three times until you are able to understand how to read a boxandwhisker plot. Watch the second presentation carefully two or three times until you are able to understand how to create a boxandwhisker plot. 
Barbara Illowsky and Susan Dean's "Collaborative Statistics: Box Plots"  Read the "Box Plots" section. Then, complete Examples 1 and 2. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to practice how to read and create a boxandwhisker plot. 

Barbara Illowsky and Susan Dean's "Collaborative Statistics: Homework"  Complete exercises 5ae, 17a, 17b, 17e, and 21. The solutions to the problems can be revealed by the "Show Solution" link under each problem. These problems will allow you to read and create a boxandwhisker plot. 

Khan Academy: "Creating Box and Whisker Plots"  Complete the assessment, which tests your knowledge on creating boxandwhisker plots. This quiz incorporates concepts of creating boxandwhisker plots, means, and quartiles. You can review the concepts associated with the questions with the Khan videos in subunit 7.5. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

7.6: Circle or Pie Graphs  Khan Academy: "Reading Pie Graphs (Circle Graphs)"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a pie/circle graph. 
College of the Redwoods: "PreAlgebra Textbook: Pie Charts"  Study the "Pie Charts" section on pages 552559 of the textbook. The material may also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts), which will take you directly to the reading. After reading and studying this section, complete the "You Try It" problems beside Examples 1 and 2 on pages 554 and 556. This material contains examples on how to interpret and represent data with a pie chart. Then, complete the oddnumbered exercises for 129 on pages 560565 of the textbook. These exercises can also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts, "Exercises"), which will take you directly to the assignment. These exercises will provide you with the opportunity to interpret and represent data with a pie chart. The solutions to these problems are located in the "Answers" section on page 566 of the textbook. The solutions page can also be located through the bookmark on the left side (7 Percent, 7.6 Pie Charts, "Answers"). 

7.7: Pictographs  Khan Academy: "Reading Pictographs"  Take notes as you watch this video. Watch this presentation carefully two or three times until you are able to understand how to find information from a pictograph. 
Khan Academy: "Reading Pictographs Exercises"  Complete the assignments, which test your knowledge of interpreting pictographs. You can review the concepts associated with the questions with the Khan videos in subunit 7.7. Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. 

Optional Course Evaluation Survey  Optional Course Evaluation Survey  Please take a few moments to provide some feedback about this course. Consider completing the survey whether you have completed the course, you are nearly at that point, or you have just come to study one unit or a few units of this course. Your feedback will focus our efforts to continually improve our course design, content, technology, and general easeofuse. Additionally, your input will be considered alongside our consulting professors' evaluation of the course during its next round of peer review. As always, please report urgent course experience concerns to [email protected] and/or our discussion forums. 