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Pre-Algebra II (Illustrative Mathematics - Grade 8)

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Pre-Algebra II (Illustrative Mathematics - Grade 8)

PreAlgebraMathematics
Author
Illustrative Mathematics
Publisher
OpenUp Resources
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 179 sections
  1. 01: Rigid Transformations and Congruence
  2. 1.00: Rigid Transformations 1
  3. 1.1.00: Moving in the Plane
  4. 1.1.02: Naming the Moves
  5. 1.1.03: Grid Moves
  6. 1.1.04: Making the Moves
  7. 1.1.05: Coordinate Moves
  8. 1.1.06: Describing Transformations
  9. 1.02: Properties of Rigid Transformations
  10. 1.2.00: No Bending or Stretching
  11. 1.2.02: Rotation Patterns
  12. 1.2.03: Moves in Parallel
  13. 1.2.04: Composing Figures
  14. 1.03: Congruence
  15. 1.3.00: What Is the Same?
  16. 1.3.02: Congruent Polygons
  17. 1.3.03: Congruence
  18. 1.04: Angles in a Triangle
  19. 1.4.00: Alternate Interior Angles
  20. 1.4.02: Adding the Angles in a Triangle
  21. 1.4.03: Parallel Lines and the Angles in a Triangle
  22. 1.05: Let's Put It to Work
  23. 1.5.00: Rotate and Tessellate
  24. 02: Dilations Similarity and Introducing Slope
  25. 2.00: New Page
  26. 2.1.1: Projecting and Scaling
  27. 2.1.2: Circular Grid
  28. 2.1.3: Dilations with no Grid
  29. 2.1.4: Dilations on a Square Grid
  30. 2.1.5: More Dilations
  31. 2.02: New Page
  32. 2.2.1: Similarity
  33. 2.2.2: Similar Polygons
  34. 2.2.3: Similar Triangles
  35. 2.2.4: Side Length Quotients in Similar Triangles
  36. 2.03: New Page
  37. 2.3.1: Meet Slope
  38. 2.3.2: Writing Equations for Lines
  39. 2.3.3: Using Equations for Lines
  40. 2.04: New Page
  41. 2.4.1: The Shadow Knows
  42. 03: Linear Relationships
  43. 3.00: New Page
  44. 3.1.1: Understanding Proportional Relationships
  45. 3.1.2: Graphs of Proportional Relationships
  46. 3.1.3: Representing Proportional Relationships
  47. 3.1.4: Comparing Proportional Relationships
  48. 3.02: New Page
  49. 3.2.1: Introduction to Linear Relationships
  50. 3.2.2: More Linear Relationships
  51. 3.2.3: Representations of Linear Relationships
  52. 3.2.4: Translating y = mx b
  53. 3.03: New Page
  54. 3.3.1: Slopes Don't Have to be Positive
  55. 3.3.2: Calculating Slope
  56. 3.3.3: Equations of All Kinds of Lines
  57. 3.04: New Page
  58. 3.4.1: Solutions to Linear Equations
  59. 3.4.2: More Solutions to Linear Equations
  60. 3.5: Let's Put it to Work
  61. 3.5.1: Using Linear Relationships to Solve Problems
  62. 04: Linear Equations and Linear Systems
  63. 4.00: New Page
  64. 4.1.1: Number Puzzles
  65. 4.02: New Page
  66. 4.2.1: Keeping the Equation Balanced
  67. 4.2.2: Balanced Moves
  68. 4.2.3: More Balanced Moves
  69. 4.2.4: Solving Any Linear Equation
  70. 4.2.5: Strategic Solving
  71. 4.2.6: All, Some, or No Solutions
  72. 4.2.7: How Many Solutions?
  73. 4.2.8: When Are They the Same?
  74. 4.03: New Page
  75. 4.3.1: On or Off the Line?
  76. 4.3.2: On Both of the Lines
  77. 4.3.3: Systems of Equations
  78. 4.3.4: Solving Systems of Equations
  79. 4.3.5: Solving More Systems
  80. 4.3.6: Writing Systems of Equations
  81. 4.04: New Page
  82. 4.4.1: Solving Problems with Systems of Equations
  83. 05: Functions and Volume
  84. 5.00: New Page
  85. 5.1.1: Inputs and Outputs
  86. 5.1.2: Introduction to Functions
  87. 5.02: New Page
  88. 5.2.1: Equations for Functions
  89. 5.2.2: Tables, Equations, and Graphs of Functions
  90. 5.2.3: More Graphs of Functions
  91. 5.2.4: Even More Graphs of Functions
  92. 5.2.5: Connecting Representations of Functions
  93. 5.03: New Page
  94. 5.3.1: Linear Functions
  95. 5.3.2: Linear Models
  96. 5.3.3: Piecewise Linear Functions
  97. 5.04: New Page
  98. 5.4.1: Filling Containers
  99. 5.4.2: How Much Will Fit?
  100. 5.4.3: The Volume of a Cylinder
  101. 5.4.4: Finding Cylinder Dimensions
  102. 5.4.5: The Volume of a Cone
  103. 5.4.6: Finding Cone Dimensions
  104. 5.5: Dimensions and Spheres
  105. 5.5.1: Scaling One Dimension
  106. 5.5.2: Scaling Two Dimensions
  107. 5.5.3: Estimating a Hemisphere
  108. 5.5.4: The Volume of a Sphere
  109. 5.5.5: Cylinders, Cones, and Spheres
  110. 5.6: Let's Put It to Work
  111. 5.6.1: Volume as a Function of ...
  112. 06: Associations in Data
  113. 6.00: New Page
  114. 6.1.1: Organizing Data
  115. 6.1.2: Plotting Data
  116. 6.02: New Page
  117. 6.2.1: What a Point in a Scatter Plot Means
  118. 6.2.2: Fitting a Line to Data
  119. 6.2.3: Describing Trends in Scatter Plots
  120. 6.2.4: The Slope of a Fitted Line
  121. 6.2.5: Observing More Patterns in Scatter Plots
  122. 6.2.6: Analyzing Bivariate Data
  123. 6.03: New Page
  124. 6.3.1: Looking for Associations
  125. 6.3.2: Using Data Displays to Find Associations
  126. 6.04: New Page
  127. 6.4.1: Gone in 30 Seconds
  128. 07: Exponents and Scientific Notation
  129. 7.00: New Page
  130. 7.1.1: Exponent Review
  131. 7.02: New Page
  132. 7.2.1: Multiplying Powers of 10
  133. 7.2.2: Powers of Powers of 10
  134. 7.2.3: Dividing Powers of 10
  135. 7.2.4: Negative Exponents with Powers of 10
  136. 7.2.5: What about Other Bases
  137. 7.2.6: Practice with Rational Bases
  138. 7.2.7: Combining Bases
  139. 7.03: New Page
  140. 7.3.1: Describing Large and Small Numbers Using Powers of 10
  141. 7.3.2: Representing Large Numbers on the Number Line
  142. 7.3.3: Representing Small Numbers on the Number Line
  143. 7.3.4: Applications of Arithmetic with Powers of 10
  144. 7.3.5: Definition of Scientific Notation
  145. 7.3.6: Multiplying Dividing and Estimating with Scientific Notation
  146. 7.3.7: Adding and Subtracting with Scientific Notation
  147. 7.04: New Page
  148. 7.4.1: Is a Smartphone Smart Enough to Go to the Moon?
  149. 08: Pythagorean Theorem and Irrational Numbers
  150. 8.00: New Page
  151. 8.1.1: The Areas of Squares and Their Side Lengths
  152. 8.1.2: Side Lengths and Areas
  153. 8.1.3: Rational and Irrational Numbers
  154. 8.1.4: Square Roots on the Number Line
  155. 8.1.5: Reasoning About Square Roots
  156. 8.02: New Page
  157. 8.2.1: Finding Side Lengths of Triangles
  158. 8.2.2: A Proof of the Pythagorean Theorem
  159. 8.2.3: Finding Unknown Side Lengths
  160. 8.2.4: The Converse
  161. 8.2.5: Applications of the Pythagorean Theorem
  162. 8.2.6: Finding Distances in the Coordinate Plane
  163. 8.03: New Page
  164. 8.3.1: Edge Lengths and Volumes
  165. 8.3.2: Cube Roots
  166. 8.04: New Page
  167. 8.4.1: Decimal Representation of Rational Numbers
  168. 8.4.2: Infinite Decimal Expansions
  169. 8.5: Let's Put it to Work
  170. 8.5.1: When Is the Same Size Not the Same Size?
  171. 09: Putting It All Together
  172. 9.00: New Page
  173. 9.1.1: Tessellations of the Plane
  174. 9.1.2: Regular Tessellations
  175. 9.1.3: Tessellating Polygons
  176. 9.02: New Page
  177. 9.2.1: What Influences Temperature?
  178. 9.2.2: Plotting the Weather
  179. 9.2.3: Using and Interpreting a Mathematical Model