Developmental Math (NROC)

by The NROC Project

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Subjects
Mathematics, Applied Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Whole Numbers
  7. 1.1: Introduction to Whole Numbers
  8. 1.1.1: Place Value and Names for Whole Numbers
  9. 1.1.2: Rounding Whole Numbers
  10. 1.1.3: Comparing Whole Numbers
  11. 1.2: Adding and Subtracting Whole Numbers
  12. 1.2.1: Adding Whole Numbers and Applications
  13. 1.2.2: Subtracting Whole Numbers and Applications
  14. 1.2.3: Estimation
  15. 1.3: Multiplying and Dividing Whole Numbers
  16. 1.3.1: Multiplying Whole Numbers and Applications
  17. 1.3.2: Dividing Whole Numbers and Applications
  18. 1.4: Properties of Whole Numbers
  19. 1.4.1: Properties and Laws of Whole Numbers
  20. 1.4.2: The Distributive Property
  21. 1.5: Exponents, Square Roots, and the Order of Operations
  22. 1.5.1: Understanding Exponents and Square Roots
  23. 1.5.2: Order of Operations
  24. 2: Fractions and Mixed Numbers
  25. 2.1: Introduction to Fractions and Mixed Numbers
  26. 2.1.1: Introduction to Fractions and Mixed Numbers
  27. 2.1.2: Proper and Improper Fractions
  28. 2.1.3: Factors and Primes
  29. 2.1.4: Simplifying Fractions
  30. 2.1.5: Comparing Fractions
  31. 2.2: Multiplying and Dividing Fractions and Mixed Numbers
  32. 2.2.1: Multiplying Fractions and Mixed Numbers
  33. 2.2.2: Dividing Fractions and Mixed Numbers
  34. 2.3: Adding and Subtracting Fractions and Mixed Numbers
  35. 2.3.1: Adding Fractions and Mixed Numbers
  36. 2.3.2: Subtracting Fractions and Mixed Numbers
  37. 3: Decimals
  38. 3.1: Introduction to Decimals
  39. 3.1.1: Decimals and Fractions
  40. 3.1.2: Ordering and Rounding Decimals
  41. 3.2: Decimal Operations
  42. 3.2.1: Adding and Subtracting Decimals
  43. 3.2.2: Multiplying and Dividing Decimals
  44. 3.2.3: Estimation with Decimals
  45. 4: Ratios, Rates, and Proportions
  46. 4.1: Ratio and Rates
  47. 4.1.1: Simplifying Ratios and Rates
  48. 4.2: Proportions
  49. 4.2.1: Understanding Proportions
  50. 5: Percents
  51. 5.1: Introduction to Percents
  52. 5.1.1: Convert Percents, Decimals, and Fractions
  53. 5.2: Solving Percent Problems
  54. 5.2.1: Solving Percent Problems
  55. 6: Measurement
  56. 6.1: U.S. Customary Units of Measurement
  57. 6.1.1: Length
  58. 6.1.2: Weight
  59. 6.1.3: Capacity
  60. 6.2: Metric Units of Measurement
  61. 6.2.1: The Metric System
  62. 6.2.2: Converting within the Metric System
  63. 6.2.3: Using Metric Conversions to Solve Problems
  64. 6.3: Temperature
  65. 6.3.1: Temperature Scales
  66. 7: Geometry
  67. 7.1: Basic Geometric Concepts and Figures
  68. 7.1.1: Figures in 1 and 2 Dimensions
  69. 7.1.2: Properties of Angles
  70. 7.1.3: Triangles
  71. 7.1.4: The Pythagorean Theorem
  72. 7.2: Perimeter, Circumference, and Area
  73. 7.2.1: Quadrilaterals
  74. 7.2.2: Perimeter and Area
  75. 7.2.3: Circles
  76. 7.3: Volume of Geometric Solids
  77. 7.3.1: Solids
  78. 8: Concepts in Statistics
  79. 8.1: Statistical Graphs and Tables
  80. 8.1.1: Graphing Data
  81. 8.1.2: Other Types of Graphs
  82. 8.2: Measures of Center
  83. 8.2.1: Measures of Center
  84. 8.3: Graphical Representations
  85. 8.3.1: Use and Misuse of Graphical Representations
  86. 8.4: Probability
  87. 8.4.1: Probability
  88. 9: Real Numbers
  89. 9.1: Introduction to Real Numbers
  90. 9.1.1: Variables and Expressions
  91. 9.1.2: Integers
  92. 9.1.3: Rational and Real Numbers
  93. 9.2: Operations with Real Numbers
  94. 9.2.1: Adding Integers
  95. 9.2.2: Adding Real Numbers
  96. 9.2.3: Subtracting Real Numbers
  97. 9.2.4: Multiplying and Dividing Real Numbers
  98. 9.3: Properties of Real Numbers
  99. 9.3.1: Associative, Commutative, and Distributive Properties
  100. 9.4: Simplifying Expressions
  101. 9.4.1: Order of Operations
  102. 10: Solving Equations and Inequalities
  103. 10.1: Solving Equations
  104. 10.1.1: Solving One-Step Equations Using Properties of Equality
  105. 10.1.2: Solving Multi-Step Equations
  106. 10.1.3: Special Cases and Applications
  107. 10.1.4: Formulas
  108. 10.2: Solving Inequalities
  109. 10.2.1: Solving One-Step Inequalities
  110. 10.2.2: Multi-Step Inequalities
  111. 10.3: Compound Inequalities and Absolute Value
  112. 10.3.1: Compound Inequalities
  113. 10.3.2: Equations and Inequalities and Absolute Value
  114. 11: Exponents and Polynomials
  115. 11.1: Integer Exponents
  116. 11.1.1: Exponential Notation
  117. 11.1.2: Simplify by Using the Product, Quotient, and Power Rules
  118. 11.1.3: Products and Quotients Raised to Powers
  119. 11.1.4: Scientific Notation
  120. 11.2: Polynomials with Single Variables
  121. 11.2.1: Introduction to Single Variable Polynomials
  122. 11.2.2: Adding and Subtracting Polynomials
  123. 11.2.3: Multiplying Polynomials
  124. 11.2.4: Multiplying Special Cases
  125. 11.2.5: Dividing by a Monomial
  126. 11.2.6: Dividing by Binomials and Polynomials
  127. 11.3: Polynomials with Several Variables
  128. 11.3.1: Simplifying and Evaluating Polynomials with More than One Term
  129. 11.3.2: Operations with Polynomials
  130. 12: Factoring
  131. 12.1: Introduction to Factoring
  132. 12.1.1: Greatest Common Factor
  133. 12.2: Factoring Polynomials
  134. 12.2.1: Factoring Trinomials
  135. 12.2.2: Factoring- Special Cases
  136. 12.2.3: Special Cases- Cubes
  137. 12.3: Solving Quadratic Equations
  138. 12.3.1: Solve Quadratic Equations by Factoring
  139. 13: Graphing
  140. 13.1: Graphs and Applications
  141. 13.1.1: The Coordinate Plane
  142. 13.1.2: Graphing Linear Equations
  143. 13.2: Slope and Writing the Equation of a Line
  144. 13.2.1: Finding the Slope of a Line
  145. 13.2.2: Writing the Equation of a Line
  146. 13.2.3: Parallel and Perpendicular Lines
  147. 13.2.4: Graphing Linear Inequalities
  148. 14: Systems of Equations and Inequalities
  149. 14.1: Graphing Systems of Equations and Inequalities
  150. 14.1.1: Graphing Systems of Linear Equations
  151. 14.1.2: Graphing Systems of Inequalities
  152. 14.2: Algebraic Methods to Solve Systems of Equations
  153. 14.2.1: The Substitution Method
  154. 14.2.2: The Elimination Method
  155. 14.3: Systems of Equations in Three or More Variables
  156. 14.3.1: Solving Systems of Three Variables
  157. 15: Rational Expressions
  158. 15.1: Operations with Rational Expressions
  159. 15.1.1: Introduction to Rational Expressions
  160. 15.1.2: Multiplying and Dividing Rational Expressions
  161. 15.1.3: Adding and Subtracting Rational Expressions
  162. 15.1.4: Complex Rational Expressions
  163. 15.2: Rational Equations
  164. 15.2.1: Solving Rational Equations and Applications
  165. 15.3: Formulas and Variation
  166. 15.3.1: Rational Formulas and Variation
  167. 16: Radical Expressions and Quadratic Equations
  168. 16.1: Introduction to Roots and Rational Exponents
  169. 16.1.1: Roots
  170. 16.1.2: Squares, Cubes, and Beyond
  171. 16.1.3: Rational Exponents
  172. 16.2: Operations with Radicals
  173. 16.2.1: Multiplying and Dividing Radical Expressions
  174. 16.2.2: Adding and Subtracting Radicals
  175. 16.2.3: Multiplication of Multiple Term Radicals
  176. 16.2.4: Rationalizing Denominators
  177. 16.3: Radical Equations
  178. 16.3.1: Solving Radical Equations
  179. 16.4: Complex Numbers
  180. 16.4.1: Complex Numbers
  181. 16.4.2: Operations with Complex Numbers
  182. 16.5: Solving Quadratic Equations
  183. 16.5.1: Square Roots and Completing the Square
  184. 16.5.2: The Quadratic Formula
  185. 17: Functions
  186. 17.1: Introduction to Functions
  187. 17.1.1: Identifying Functions
  188. 17.2: Using Functions
  189. 17.2.1: Evaluating Functions
  190. 17.2.2: Graphing Types of Functions
  191. 17.2.3: Finding Domain and Range
  192. 17.3: Operations with Functions
  193. 17.3.1: Arithmetic Operations with Functions
  194. 18: Exponential and Logarithmic Functions
  195. 18.1: Exponential Functions
  196. 18.1.1: Introduction to Exponential Functions
  197. 18.2: Logarithmic Functions
  198. 18.2.1: Introduction to Logarithmic Functions
  199. 18.2.2: Properties of Logarithmic Functions
  200. 18.3: Natural Logarithms
  201. 18.3.1: Introduction to Natural and Common Logarithms
  202. 18.4: Logarithmic and Exponential Equations
  203. 18.4.1: Solving Exponential and Logarithmic Equations
  204. 18.4.2: Mathematical Modeling with Exponential and Logarithmic Functions
  205. 19: Trigonometry
  206. 19.1: Introduction to Trigonometric Functions
  207. 19.1.1: Identifying the Six Trigonometric Functions
  208. 19.1.2: Right Triangle Trigonometry
  209. 19.1.3: Unit Circle Trigonometry
  210. 19.2: Graphing Trigonometric Functions
  211. 19.2.1: Degree and Radian Measure
  212. 19.2.2: Graphing the Sine and Cosine Functions
  213. 19.2.3: Amplitude and Period
  214. Back Matter
  215. Index
  216. Glossary
  217. Detailed Licensing