Pre-Algebra II (Illustrative Mathematics - Grade 8)

by Illustrative Mathematics

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Publisher
OpenUp Resources
Subjects
Mathematics, PreAlgebra
Licence
CC BY, as LibreTexts states it
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. About this Book
  7. 1: Rigid Transformations and Congruence
  8. 1.1: Rigid Transformations
  9. 1.1.1: Moving in the Plane
  10. 1.1.2: Naming the Moves
  11. 1.1.3: Grid Moves
  12. 1.1.4: Making the Moves
  13. 1.1.5: Coordinate Moves
  14. 1.1.6: Describing Transformations
  15. 1.2: Properties of Rigid Transformations
  16. 1.2.1: No Bending or Stretching
  17. 1.2.2: Rotation Patterns
  18. 1.2.3: Moves in Parallel
  19. 1.2.4: Composing Figures
  20. 1.3: Congruence
  21. 1.3.1: What Is the Same?
  22. 1.3.2: Congruent Polygons
  23. 1.3.3: Congruence
  24. 1.4: Angles in a Triangle
  25. 1.4.1: Alternate Interior Angles
  26. 1.4.2: Adding the Angles in a Triangle
  27. 1.4.3: Parallel Lines and the Angles in a Triangle
  28. 1.5: Let's Put It to Work
  29. 1.5.1: Rotate and Tessellate
  30. 2: Dilations, Similarity, and Introducing Slope
  31. 2.1: Dilations
  32. 2.1.1: Projecting and Scaling
  33. 2.1.2: Circular Grid
  34. 2.1.3: Dilations with no Grid
  35. 2.1.4: Dilations on a Square Grid
  36. 2.1.5: More Dilations
  37. 2.2: Similarity
  38. 2.2.1: Similarity
  39. 2.2.2: Similar Polygons
  40. 2.2.3: Similar Triangles
  41. 2.2.4: Side Length Quotients in Similar Triangles
  42. 2.3: Slope
  43. 2.3.1: Meet Slope
  44. 2.3.2: Writing Equations for Lines
  45. 2.3.3: Using Equations for Lines
  46. 2.4: Let's Put It to Work
  47. 2.4.1: The Shadow Knows
  48. 3: Linear Relationships
  49. 3.1: Proportional Relationships
  50. 3.1.1: Understanding Proportional Relationships
  51. 3.1.2: Graphs of Proportional Relationships
  52. 3.1.3: Representing Proportional Relationships
  53. 3.1.4: Comparing Proportional Relationships
  54. 3.2: Representing Linear Relationships
  55. 3.2.1: Introduction to Linear Relationships
  56. 3.2.2: More Linear Relationships
  57. 3.2.3: Representations of Linear Relationships
  58. 3.2.4: Translating y=mx+b
  59. 3.3: Finding Slopes
  60. 3.3.1: Slopes Don't Have to be Positive
  61. 3.3.2: Calculating Slope
  62. 3.3.3: Equations of All Kinds of Lines
  63. 3.4: Linear Equations
  64. 3.4.1: Solutions to Linear Equations
  65. 3.4.2: More Solutions to Linear Equations
  66. 3.5: Let's Put it to Work
  67. 3.5.1: Using Linear Relationships to Solve Problems
  68. 4: Linear Equations and Linear Systems
  69. 4.1: Puzzle Problems
  70. 4.1.1: Number Puzzles
  71. 4.2: Linear Equations in One Variable
  72. 4.2.1: Keeping the Equation Balanced
  73. 4.2.2: Balanced Moves
  74. 4.2.3: More Balanced Moves
  75. 4.2.4: Solving Any Linear Equation
  76. 4.2.5: Strategic Solving
  77. 4.2.6: All, Some, or No Solutions
  78. 4.2.7: How Many Solutions?
  79. 4.2.8: When Are They the Same?
  80. 4.3: Systems of Linear Equations
  81. 4.3.1: On or Off the Line?
  82. 4.3.2: On Both of the Lines
  83. 4.3.3: Systems of Equations
  84. 4.3.4: Solving Systems of Equations
  85. 4.3.5: Solving More Systems
  86. 4.3.6: Writing Systems of Equations
  87. 4.4: Let's Put it to Work
  88. 4.4.1: Solving Problems with Systems of Equations
  89. 5: Functions and Volume
  90. 5.1: Inputs and Outputs
  91. 5.1.1: Inputs and Outputs
  92. 5.1.2: Introduction to Functions
  93. 5.2: Representing and Interpreting Functions
  94. 5.2.1: Equations for Functions
  95. 5.2.2: Tables, Equations, and Graphs of Functions
  96. 5.2.3: More Graphs of Functions
  97. 5.2.4: Even More Graphs of Functions
  98. 5.2.5: Connecting Representations of Functions
  99. 5.3: Linear Functions and Rates of Change
  100. 5.3.1: Linear Functions
  101. 5.3.2: Linear Models
  102. 5.3.3: Piecewise Linear Functions
  103. 5.4: Cylinders and Cones
  104. 5.4.1: Filling Containers
  105. 5.4.2: How Much Will Fit?
  106. 5.4.3: The Volume of a Cylinder
  107. 5.4.4: Finding Cylinder Dimensions
  108. 5.4.5: The Volume of a Cone
  109. 5.4.6: Finding Cone Dimensions
  110. 5.5: Dimensions and Spheres
  111. 5.5.1: Scaling One Dimension
  112. 5.5.2: Scaling Two Dimensions
  113. 5.5.3: Estimating a Hemisphere
  114. 5.5.4: The Volume of a Sphere
  115. 5.5.5: Cylinders, Cones, and Spheres
  116. 5.6: Let's Put It to Work
  117. 5.6.1: Volume as a Function of ...
  118. 6: Associations in Data
  119. 6.1: Does This Predict That?
  120. 6.1.1: Organizing Data
  121. 6.1.2: Plotting Data
  122. 6.2: Associations in Numerical Data
  123. 6.2.1: What a Point in a Scatter Plot Means
  124. 6.2.2: Fitting a Line to Data
  125. 6.2.3: Describing Trends in Scatter Plots
  126. 6.2.4: The Slope of a Fitted Line
  127. 6.2.5: Observing More Patterns in Scatter Plots
  128. 6.2.6: Analyzing Bivariate Data
  129. 6.3: Associations in Categorical Data
  130. 6.3.1: Looking for Associations
  131. 6.3.2: Using Data Displays to Find Associations
  132. 6.4: Let's Put it to Work
  133. 6.4.1: Gone in 30 Seconds
  134. 7: Exponents and Scientific Notation
  135. 7.1: Exponent Review
  136. 7.1.1: Exponent Review
  137. 7.2: Exponent Rules
  138. 7.2.1: Multiplying Powers of 10
  139. 7.2.2: Powers of Powers of 10
  140. 7.2.3: Dividing Powers of 10
  141. 7.2.4: Negative Exponents with Powers of 10
  142. 7.2.5: What about Other Bases?
  143. 7.2.6: Practice with Rational Bases
  144. 7.2.7: Combining Bases
  145. 7.3: Scientific Notation
  146. 7.3.1: Describing Large and Small Numbers Using Powers of 10
  147. 7.3.2: Representing Large Numbers on the Number Line
  148. 7.3.3: Representing Small Numbers on the Number Line
  149. 7.3.4: Applications of Arithmetic with Powers of 10
  150. 7.3.5: Definition of Scientific Notation
  151. 7.3.6: Multiplying, Dividing, and Estimating with Scientific Notation
  152. 7.3.7: Adding and Subtracting with Scientific Notation
  153. 7.4: Let's Put It to Work
  154. 7.4.1: Is a Smartphone Smart Enough to Go to the Moon?
  155. 8: Pythagorean Theorem and Irrational Numbers
  156. 8.1: Side Lengths and Areas of Squares
  157. 8.1.1: The Areas of Squares and Their Side Lengths
  158. 8.1.2: Side Lengths and Areas
  159. 8.1.3: Rational and Irrational Numbers
  160. 8.1.4: Square Roots on the Number Line
  161. 8.1.5: Reasoning About Square Roots
  162. 8.2: The Pythagorean Theorem
  163. 8.2.1: Finding Side Lengths of Triangles
  164. 8.2.2: A Proof of the Pythagorean Theorem
  165. 8.2.3: Finding Unknown Side Lengths
  166. 8.2.4: The Converse
  167. 8.2.5: Applications of the Pythagorean Theorem
  168. 8.2.6: Finding Distances in the Coordinate Plane
  169. 8.3: Side Lengths and Volumes of Cubes
  170. 8.3.1: Edge Lengths and Volumes
  171. 8.3.2: Cube Roots
  172. 8.4: Decimal Representation of Rational and Irrational Numbers
  173. 8.4.1: Decimal Representation of Rational Numbers
  174. 8.4.2: Infinite Decimal Expansions
  175. 8.5: Let's Put it to Work
  176. 8.5.1: When Is the Same Size Not the Same Size?
  177. 9: Putting It All Together
  178. 9.1: Tessellations
  179. 9.1.1: Tessellations of the Plane
  180. 9.1.2: Regular Tessellations
  181. 9.1.3: Tessellating Polygons
  182. 9.2: The Weather
  183. 9.2.1: What Influences Temperature?
  184. 9.2.2: Plotting the Weather
  185. 9.2.3: Using and Interpreting a Mathematical Model
  186. Back Matter
  187. Index
  188. Glossary
  189. Detailed Licensing