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Pre-Algebra I (Illustrative Mathematics - Grade 7)

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Pre-Algebra I (Illustrative Mathematics - Grade 7)

PreAlgebraMathematics
Author
Illustrative Mathematics
Publisher
OpenUp Resources
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 193 sections
  1. 01: Scale Drawings
  2. 1.01: New Page
  3. 1.1.2: Corresponding Parts and Scale Factors
  4. 1.1.3: Making Scaled Copies
  5. 1.1.4: Scaled Relationships
  6. 1.1.5: The Size of the Scale Factor
  7. 1.1.6: Scaling and Area
  8. 1.02: New Page
  9. 1.2.1: Scale Drawings
  10. 1.2.2: Scale Drawings and Maps
  11. 1.2.3: Creating Scale Drawings
  12. 1.2.4: Changing Scales in Scale Drawings
  13. 1.2.5: Scales without Units
  14. 1.2.6: Units in Scale Drawings
  15. 1.03: New Page
  16. 1.3.1: Draw It to Scale
  17. 101: New Page
  18. 111: What are Scaled Copies
  19. 02: Introducing Proportional Relationships
  20. 2.01: New Page
  21. 2.1.1: One of These Things is Not Like the Others
  22. 2.1.2: Introducing Proportional Relationships with Tables
  23. 2.1.3: More about Constant of Proportionality
  24. 2.02: New Page
  25. 2.2.1: Proportional Relationships and Equations
  26. 2.2.2: Two Equations for Each Relationship
  27. 2.2.3: Using Equations to Solve Problems
  28. 2.03: New Page
  29. 2.3.1: Comparing Relationships with Tables
  30. 2.3.2: Comparing Relationships with Equations
  31. 2.3.3: Solving Problems about Proportional Relationships
  32. 2.04: New Page
  33. 2.4.1: Introducing Graphs of Proportional Relationships
  34. 2.4.2: Interpreting Graphs of Proportional Relationships
  35. 2.4.3: Using Graphs to Compare Relationships
  36. 2.4.4: Two Graphs for Each Relationship
  37. 2.5: Let's Put it to Work
  38. 2.5.1: Four Representations
  39. 2.5.2: Using Water Efficiently
  40. 03: Untitled Chapter 3
  41. 3.01: New Page
  42. 3.1.1: How Well Can You Measure
  43. 3.1.2: Exploring Circles
  44. 3.1.3: Exploring Circumference
  45. 3.1.4: Applying Circumference
  46. 3.1.5: Circumference and Wheels
  47. 3.02: New Page
  48. 3.2.1: Estimating Areas
  49. 3.2.2: Exploring the Area of a Circle
  50. 3.2.3: Relating Area to Circumference
  51. 3.2.4: Applying Area of Circles
  52. 3.03: New Page
  53. 3.3.1: Distinguishing Circumference and Area
  54. 3.3.2: Stained-Glass Windows
  55. 04: Untitled Chapter 4
  56. 4.01: New Page
  57. 4.1.1: Lots of Flags
  58. 4.1.2: Ratios and Rates With Fractions
  59. 4.1.3: Revisiting Proportional Relationships
  60. 4.1.4: Half as Much Again
  61. 4.1.5: Say It with Decimals
  62. 4.02: New Page
  63. 4.2.1: Increasing and Decreasing
  64. 4.2.2: One Hundred Percent
  65. 4.2.3: Percent Increase and Decrease with Equations
  66. 4.2.4: More and Less than 1 Percent
  67. 4.03: New Page
  68. 4.3.1: Tax and Tip
  69. 4.3.2: Percentage Contexts
  70. 4.3.3: Finding the Percentage
  71. 4.3.4: Measurement Error
  72. 4.3.5: Percent Error
  73. 4.3.6: Error Intervals
  74. 4.04: New Page
  75. 4.4.1: Posing Percentage Problems
  76. 05: Untitled Chapter 5
  77. 5.01: New Page
  78. 5.1.1: Interpreting Negative Numbers
  79. 5.02: New Page
  80. 5.2.1: Changing Temperatures
  81. 5.2.2: Changing Elevation
  82. 5.2.3: Money and Debts
  83. 5.2.4: Representing Subtraction
  84. 5.2.5: Subtracting Rational Numbers
  85. 5.2.6: Adding and Subtracting to Solve Problems
  86. 5.03: New Page
  87. 5.3.1: Position Speed and Direction
  88. 5.3.2: Multiplying Rational Numbers
  89. 5.3.3: Multiply
  90. 5.3.4: Dividing Rational Numbers
  91. 5.3.5: Negative Rates
  92. 5.04: New Page
  93. 5.4.1: Expressions with Rational Numbers
  94. 5.4.2: Solving Problems with Rational Numbers
  95. 5.05: New Page
  96. 5.5.1: Solving Equations with Rational Numbers
  97. 5.5.2: Representing Contexts with Equations
  98. 5.06: New Page
  99. 5.6.1: The Stock Market
  100. 06: Untitled Chapter 6
  101. 6.01: New Page
  102. 6.1.1: Relationships between Quantities
  103. 6.1.2: Reasoning about Contexts with Tape Diagrams
  104. 6.1.3: Reasoning about Equations with Tape Diagrams
  105. 6.1.4: Reasoning about Equations and Tape Diagrams (Part 1)
  106. 6.1.5: Reasoning about Equations and Tape Diagrams (Part 2)
  107. 6.1.6: Distinguishing between Two Types of Situations
  108. 6.02: New Page
  109. 6.2.1: Reasoning about Solving Equations (Part 1)
  110. 6.2.2: Reasoning about Solving Equations (Part 2)
  111. 6.2.3: Dealing with Negative Numbers
  112. 6.2.4: Different Options for Solving One Equation
  113. 6.2.5: Using Equations to Solve Problems
  114. 6.2.6: Solving Problems about Percent Increase or Decrease
  115. 6.03: New Page
  116. 6.3.1: Reintroducing Inequalities
  117. 6.3.2: Finding Solutions to Inequalities in Context
  118. 6.3.3: Efficiently Solving Inequalities
  119. 6.3.4: Interpreting Inequalities
  120. 6.3.5: Modeling with Inequalities
  121. 6.04: New Page
  122. 6.4.1: Subtraction in Equivalent Expressions
  123. 6.4.2: Expanding and Factoring
  124. 6.4.3: Combining Like Terms (Part 1)
  125. 6.4.4: Combining Like Terms (Part 2)
  126. 6.4.5: Combining Like Terms (Part 3)
  127. 6.05: New Page
  128. 6.5.1: Applications of Expressions
  129. 07: Untitled Chapter 7
  130. 7.01: New Page
  131. 7.1.1: Relationships of Angles
  132. 7.1.2: Adjacent Angles
  133. 7.1.3: Nonadjacent Angles
  134. 7.1.4: Solving for Unknown Angles
  135. 7.1.5: Using Equations to Solve for Unknown Angles
  136. 7.02: New Page
  137. 7.2.1: Building Polygons (Part 1)
  138. 7.2.2: Building Polygons (Part 2)
  139. 7.2.3: Triangles with 3 Common Measures
  140. 7.2.4: Drawing Triangles (Part 1)
  141. 7.2.5: Drawing Triangles (Part 2)
  142. 7.03: New Page
  143. 7.3.1: Slicing Solids
  144. 7.3.2: Volume of Right Prisms
  145. 7.3.3: Decomposing Bases for Area
  146. 7.3.4: Surface Area of Right Prisms
  147. 7.3.5: Distinguishing Volume and Surface Area
  148. 7.3.6: Applying Volume and Surface Area
  149. 7.04: New Page
  150. 7.4.1: Building Prisms
  151. 08: Untitled Chapter 8
  152. 8.01: New Page
  153. 8.1.1: Mystery Bags
  154. 8.1.2: Chance Experiments
  155. 8.1.3: What are Probabilities
  156. 8.1.4: Estimating Probabilities Through Repeated Experiments
  157. 8.1.5: More Estimating Probabilities
  158. 8.1.6: Estimating Probabilities Using Simulation
  159. 8.02: New Page
  160. 8.2.1: Simulating Multi-step Experiments
  161. 8.2.2: Keeping Track of All Possible Outcomes
  162. 8.2.3: Multi-step Experiments
  163. 8.2.4: Designing Simulations
  164. 8.03: New Page
  165. 8.3.1: Comparing Groups
  166. 8.3.2: Larger Populations
  167. 8.3.3: What Makes a Good Sample
  168. 8.3.4: Sampling in a Fair Way
  169. 8.04: New Page
  170. 8.4.1: Estimating Population Measures of Center
  171. 8.4.2: Estimating Population Proportions
  172. 8.4.3: More about Sampling Variability
  173. 8.4.4: Comparing Populations Using Samples
  174. 8.4.5: Comparing Populations With Friends
  175. 8.05: New Page
  176. 8.5.1: Memory Test
  177. 09: Untitled Chapter 9
  178. 9.01: New Page
  179. 9.1.1: Planning Recipes
  180. 9.1.2: Costs of Running a Restaurant
  181. 9.1.3: More Costs of Running a Restaurant
  182. 9.1.4: Restaurant Floor Plan
  183. 9.02: New Page
  184. 9.2.1: How Crowded Is this Neighborhood
  185. 9.2.2: Fermi Problems
  186. 9.2.3: More Expressions and Equations
  187. 9.2.4: Measurement Error (Part 1)
  188. 9.2.5: Measurement Error (Part 2)
  189. 9.03: New Page
  190. 9.3.1: Measuring Long Distances Over Uneven Terrain
  191. 9.3.2: Building a Trundle Wheel
  192. 9.3.3: Using a Trundle Wheel to Measure Distances
  193. 9.3.4: Designing a 5K Course