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## Overview

Built on the realities that students’ face in their daily lives, MindTap® Developmental Mathematics is a personalized learning system focused on four core areas of student development -- Engagement, Persistence, Retention and Critical Thinking. Unlike any other learning experience available, MindTap breaks down the barriers to course completion by bringing elements from the interactive, gamified world to transform learning so students stay engaged, persist through challenges, feel more supported and connected to instructors, other students, and to your own learning– all at an affordable price. Students learn step-by-step methods in the areas they need help. Skill and Concept Building Games and Game-like activities are integrated to help students engage in and persist through the curriculum, master new concepts, and reinforce old ones. Skill building short Learning Burst activities can be practiced on the fly. Interactive videos engage students and go beyond by checking key concepts for understanding. Opportunities for collaborative learning support students’ need to be social and motivate them when concepts are challenging.

- MindTap® Developmental Mathematics is a digital first, full curriculum solution. Access is provided to four courses from basic mathematics through intermediate algebra.
- NEW! MindTap Math Foundations Student Workbook provides additional practice problems for all 282 Learning Objectives that are featured in the online solution. This low cost supplement is a great option for students and instructors who like to practice with pencil and paper.
- Quick At-a-Glance Progress View. “My Skills” provides a visual representation of skills students have succeeded in learning and those that need more work.
- Game-Like Activities. These fun, interactive games will solidify key foundational skills that support the math students are about to do in the lesson.
- Learning Bursts. Assignments designed to chunk learning into 15 minute, manageable blocks of learning time.
- Check-Ins. The “Check In” personalized exercises determine if there are concepts in the upcoming practice work that a student already knows so that they can skip what they already know.
- Engaging Videos for each Learning Objective prompt students to pause for concept checks to confirm understanding. They can pause, repeat, and navigate to specific areas of difficulty.
- Practice Problems with Whiteboard. While the student works practice problems, they can use the whiteboard to capture and share their work with their instructor or Study Partners.
- MindTap® Developmental Mathematics robust reporting mechanisms help both students and instructors gauge student engagement and remediate in a personalized way so students don’t fall behind before it gets too late.
- Multi-Device Access: Course material is optimized for access on the go -- smartphones, tablets and computer

1. Introduction to Whole Numbers.

2. Addition and Subtraction of Whole Numbers.

3. Multiplication and Division of Whole Numbers.

4. Exponents and the Order of Operations Agreement.

5. Introduction to Integers.

6. Addition and Subtraction of Integers.

7. Multiplication and Division of Integers.

8. Operations on Integers.

9. Exponents and the Order of Operations Agreement with Integers.

10. The Least Common Multiple and Greatest Common Factor.

11. Introduction to Fractions.

12. Writing Equivalent Fractions.

13. Multiplication and Division of Positive Fractions.

14. Addition and Subtraction of Positive Fractions.

15. The Order of Operations Agreement with Positive Fractions.

16. Complex Fractions containing Positive Fractions.

17. Multiplication and Division of Positive and Negative Fractions.

18. Addition and Subtraction of Positive and Negative Fractions.

19. Operations on Rational Numbers (requires Topic 10).

20. The Order of Operations Agreement with Positive and Negative Fractions.

21. Complex Fractions with Positive and Negative Fractions.

22. Introduction to Decimals.

23. Adding and Subtracting Positive Decimals.

24. Multiplying and Dividing Positive Decimals.

25. Use the Order of Operations Agreement with Positive Decimals.

26. Operations on Positive and Negative Decimals.

27. Use the Order of Operations Agreement with Positive and Negative Decimals.

28. Comparing and Converting Fractions and Decimals.

29. Square Root of Real Numbers.

30. Ratios and Rates.

31. Introduction to Percent.

32. Writing Sets of Real Numbers.

33. Operations with Sets.

34. Evaluating Variable Expressions.

35. Simplifying Variable Expressions using the Properties of Real Numbers.

36. Translating Verbal Expressions into Variable Expressions.

37. Introduction to Equations.

38. Proportions.

39. The Basic Percent Equation.

40. Applications of the Basic Percent Equation.

41. Percent Increase and Decrease.

42. Markup and Discount.

43. General First-degree Equations in One Variable.

44. Solve Literal and Absolute Value Equations.

45. Translating Sentences into Equations.

46. Mixture and Uniform Motion Problems.

47. First-Degree Inequalities.

48. Compound and Absolute Value Inequalities.

49. The Rectangular Coordinate System.

50. The Length and Midpoint of a Line Segment.

51. Introduction to Functions.

52. Linear Functions.

53. Graph a Linear Equation in Two Variables.

54. Slope of a Straight Line.

55. Find Equations of Lines.

56. Parallel and Perpendicular Lines.

57. Inequalities in Two Variables.

58. Solving Systems of Linear Equations by Graphing and by the Substitution Method.

59. Solving Systems of Linear Equations in Two Variables by the Addition Method.

60. Solving Systems of Linear Equations in Three Variables by the Addition Method.

61. Solving Systems of Equations by Using Determinants.

62. Application of Systems of Equations.

63. Solving Systems of Linear Inequalities.

64. Addition and Subtraction of Polynomials.

65. Multiplication of Monomials.

66. Multiplication of Polynomials.

67. Division of Monomials.

68. Scientific Notation.

69. Division of Polynomials.

70. Common Factors and Factor by Grouping.

71. Factoring Polynomials of the Form x2 + bx + c.

72. Factoring Polynomials of the Form ax2 + bx + c.

73. Factor the Difference of Perfect Squares and Perfect-square Trinomials.

74. General Factoring.

75. Factor an Expression that is Quadratic in Form.

76. General Factoring.

77. Multiplication and Division of Rational Expressions.

78. Domain of a Rational Function.

79. Addition and Subtraction of Rational Expressions.

80. Complex Fractions Containing Variables.

81. Equations Containing Rational Expressions.

82. Variation.

83. Solve Work and Uniform Motion Problems.

84. Introduction to Radical Expressions Containing Square Roots.

85. Addition and Subtraction of Radical Expressions Containing Square Roots.

86. Multiplication and Division of Radical Expressions Containing Square Roots.

87. Radical Equations Containing Square Roots.

88. Simplify Expressions Containing Rational Exponents.

89. Addition and Subtraction of Radical Expressions Containing Square and Higher Roots.

90. Radical Equations Containing Square and Higher Roots.

91. Graphs of Radical Functions.

92. Introduction to Complex Numbers.

93. Add and Subtract Complex Numbers.

94. Multiply and Divide Complex Numbers.

95. Solve Quadratic Equations by Factoring.

96. Solve Quadratic Equations with Real Number Solutions by Taking Square Roots.

97. Solve Quadratic Equations with Real Number Solutions by Completing the Square.

98. Solve a Quadratic Equation with Real Number Solutions using the Quadratic Formula.

99. Solve a Quadratic Equation with Real or Complex Number Solutions by Taking Square Roots.

100. Solve Quadratic Equations with Real or Complex Number Solutions by Completing the Square.

101. Solve a Quadratic Equation with Real or Complex Number Solutions using the Quadratic Formula.

102Equations that are Quadratic in Form.

103. Applications of Quadratic Equations Solve a Nonlinear Inequality.

104. Graph a Quadratic Equation in Two Variables.

105. Graph a Quadratic Function.

106. Translation and Reflections of Graphs.

107. Algebra of Functions.

108. One-to-One and Inverse Functions.

109. Exponential Functions.

110. Introduction to Logarithms.

111. Graphs of Logarithmic Functions.

112. Solving Exponential and Logarithmic Equations.

113. Applications of Exponential and Logarithmic Equations.

114. The Parabola.

115. The Circle.

116. The Ellipse and the Hyperbola.

117. Solving Non-Linear Systems of Equations.

118. Introduction to Sequences and Series.

119. Arithmetic Sequences and Series.

120. Geometric Sequences and Series.

121. Binomial Expansions.

122. The U.S. Customary System.

123. The Metric System.

124. Conversion Between the U.S. Customary and the Metric Systems of Measurements.

125. Angles, Lines, and Geometric Figures.

126. Perimeter of Plane Geometric Figures.

127. Area of Plane Geometric Figures.

128. Volume.

129. The Pythagorean Theorem (requires Topic 29).

130. Similar and Congruent Triangles.

131. Pictographs and Circle Graphs.

132. Bar Graphs and Broken-Line Graphs.

133. Histograms and Frequency Polygons.

134. Statistical Measures.

135. Introduction to Probability.

## Efficacy & Outcomes

{{collapseContainerClosed['outcomes'] ? 'Show More' : 'Show Less'}}### White Papers, Case Studies, Success Stories

Pass Rates Rise with MindTap® in Tech Course at Community College of Baltimore County

MindTap® is an online, personalized learning experience

Future Attorney Credits MindTap® for Time Management Skills & Better Grade

MindTap® Helps Reduce Pressure New College Students Experience

Student Athlete Challenged with Managing Time and Commitments In and Out of the Classroom

MindTap® Saves Time and Improves Student Test Preparation

MindTap® Saves Instructor Time

MindTap® improves the complete student experience

### MindTap Math Foundations at William Jessup University

Instructor Michelle Clark discusses why her students appreciate MindTap Math Foundations and improved pass rates. MindTap Math Foundations helps students with an innovative personal learning environment that builds confidence.

“MindTap’s greatest strengths are the progress tracking and the ability to add [your own] materials that are gradable.”

“I’m convinced that the higher course ratings and grades were, in large part, a result of students’ engagement. It was an unmitigated success.”

“Almost across the board, students using MindTap improved on the main learning objectives of the class ...I’ve never seen any results like this.”

“MindTap was very useful – it was easy to follow and everything was right there.”

“I’m definitely more engaged because of MindTap.”

“MindTap puts practice questions in a format that works well for me.”

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

### FOR INSTRUCTORS

#### Online Complete Solutions Manual

ISBN: 9781337615839

A complete answer and solution manual with integrated practical tips and classroom examples. Provides a how-to approach, paces chapters, and offers additional opportunities for in-class practice and homework.

#### Instructor's Companion Website

ISBN: 9781337615877

Everything you need for your course in one place! Access and download a helpful Instructor Manual that paces the chapters, provides a how to approach and additional opportunities for in-class practice and homework. In addition, you can find the online chapter, PowerPoint presentations, and more on the companion site. This collection of book-specific lecture and class tools is available online via cengage.com/login.

#### Cengage Testing, powered by Cognero® Instant Access

ISBN: 9781337615860

Cengage Testing Powered by Cognero® is a full-featured, online assessment system that allows instructors to create tests from publisher-provided content as well as write new questions.

### FOR STUDENTS

#### Student Solutions Manual

ISBN: 9781337615822

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in PREALGEBRA, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

#### Student Workbook

ISBN: 9781337615846