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MindTap Math Foundations 1st Edition

Cengage Learning

  • Copyright 2018
  • Available May 2017
  • Available with:
  • MindTap

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Instant Access to the full, mobile-ready textbook combined with superior online learning tools

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Starting at $55.00

Overview

MindTap® Math Foundations is the digital learning solution that powers students from memorization to mastery. It gives you complete control of your course—to provide engaging content, to challenge every individual, and to build their confidence. MindTap transforms learning by integrating elements from the interactive, gamified world so students stay engaged; persist through challenges; and feel more supported and connected to instructors, students, and to their own learning–all at an affordable price. Accessible to students on their mobile devices or computer–wherever and whenever it’s convenient, the outcome-driven application helps you challenge every student and empower them to be unstoppable.

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MindTap® is the digital learning solution that powers students from memorization to mastery. It gives you complete control of your course—to provide engaging content, to challenge every individual, and to build their confidence. Empower students to accelerate their progress with MindTap.

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Features & Benefits

  • MindTap® Developmental Mathematics is a digital first, full curriculum solution. Access is provided to four courses from basic mathematics through intermediate algebra.
  • 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

Table of Contents

MindTap Math Foundations

TABLE OF CONTENTS

TOPICS LIST
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.
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FOR INSTRUCTORS

MindTap® Math Foundations, 1 term (6 months) Instant Access

ISBN: 9781305391772
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, students, and to their own learning– all at an affordable price. Accessible to students on their mobile devices or computer – wherever and whenever it’s convenient – they learn step-by-step methods in the areas they need help. Practice problems are individually selected based on what students need to know and skills already mastered. 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.

FOR STUDENTS

MindTap Math Foundations

ISBN: 9781305391772
Built on the realities of your daily life, MindTap® Developmental Mathematics is a personalized learning system focused on four core areas of learning 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 you stay engaged, persist through challenges, feel more supported and connected to instructors, other students, and to your own learning– all at an affordable price. Accessible on your mobile device or computer – wherever and whenever it’s convenient – you learn step-by-step methods in the areas you need help. Practice problems are individually selected based on what you need to know and skills already mastered. Skill and Concept Building Games and Game-like activities are integrated to help you 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 you and go beyond by checking key concepts for understanding. Opportunities for collaborative learning your need to be social and motivate you when concepts are challenging.