Basic Math (Grade 6)

by Illustrative Mathematics

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Publisher
OpenUp Resources
Subjects
Mathematics, Arithmetic and Basic Math
Licence
CC BY 4.0, 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. 1: Area and Surface Area
  7. Section 1: Lessons Reasoning to Find Area
  8. 1.1: Tiling the Plane
  9. 1.2: Finding Area by Decomposing and Rearranging
  10. 1.3: Reasoning to Find Area
  11. Section 2: Parallelograms
  12. 2.1: Parallelograms
  13. 2.2: Bases and Heights of Parallelograms
  14. 2.3: Area of Parallelograms
  15. Section 3: Triangles
  16. 3.1: From Parallelograms to Triangles
  17. 3.2: Area of Triangles
  18. 3.3: Formula for the Area of a Triangle
  19. 3.4: Bases and Heights of Triangles
  20. Section 4: Polygons
  21. 4.1: Polygons
  22. Section 5: Surface Area
  23. 5.1: Polyhedra
  24. 5.2: Nets and Surface Area
  25. 5.3: More Nets, More Surface Area
  26. 5.4: Distinguishing Between Surface Area and Volume
  27. Section 6: Squares and Cubes
  28. 6.1: Squares and Cubes
  29. 6.2: Surface Area of a Cube
  30. Section 7: Surface Area
  31. 7.1: What is Surface Area?
  32. Section 8: Let’s Put it to Work
  33. 8.1: Designing a Tent
  34. 2: Introducing Ratios
  35. Section 9: What are Ratios?
  36. 9.1: Introducing Ratios and Ratio Language
  37. 9.2: Representing Ratios with Diagrams
  38. Section 10: Equivalent Ratios
  39. 10.1: Recipes
  40. 10.2: Color Mixtures
  41. 10.3: Defining Equivalent Ratios
  42. Section 11: Representing Equivalent Ratios
  43. 11.1: Introducing Double Number Line Diagrams
  44. 11.2: Creating Double Number Line Diagrams
  45. 11.3: Constant Speed
  46. 11.4: Comparing Situations by Examining Ratios
  47. Section 12: Solving Ratio and Rate Problems
  48. 12.1: Representing Ratios with Tables
  49. 12.2: Navigating a Table of Equivalent Ratios
  50. 12.3: Tables and Double Number Line Diagrams
  51. 12.4: Solving Equivalent Ratio Problems
  52. Section 13: Part-Part-Whole Ratios
  53. 13.1: Part-Part-Whole Ratios
  54. 13.2: Solving More Ratio Problems
  55. Section 14: Let's Put it to Work
  56. 14.1: A Fermi Problem
  57. 14.2: How Much for One?
  58. 3: Unit Rates and Percentages
  59. Section 15: Unit of Measurement
  60. 15.1: The Burj Khalifa
  61. Section 16: Unit Conversion
  62. 16.1: Anchoring Units of Measurement
  63. 16.2: Measuring with Different-Sized Units
  64. 16.3: Converting Units
  65. Section 17: Rates
  66. 17.1: Comparing Speeds and Prices
  67. 17.2: Interpreting Rates
  68. 17.3: Equivalent Ratios Have the Same Unit Rates
  69. 17.4: More about Constant Speed
  70. 17.5: Solving Rate Problems
  71. Section 18: Percentages
  72. 18.1: Percentages and Double Number Lines
  73. 18.2: Percentages and Tape Diagrams
  74. 18.3: Benchmark Percentages
  75. 18.4: Solving Percentage Problems
  76. 18.5: Finding This Percent of That
  77. 18.6: Finding the Percentage
  78. Section 19: Let's Put it to Work
  79. 19.1: Painting a Room
  80. Section 20: New Page
  81. 20.1: What Are Percentages?
  82. 4: Dividing Fractions
  83. Section 21: Making Sense of Division
  84. 21.1: Size of Divisor and Size of Quotient
  85. 21.2: Meanings of Division
  86. 21.3: Interpreting Division Situations
  87. Section 22: Meanings of Fraction Division
  88. 22.1: How Many Groups? (Part 1)
  89. 22.2: How Many Groups? (Part 2)
  90. 22.3: Using Diagrams to Find the Number of Groups
  91. 22.4: What Fraction of a Group?
  92. 22.5: How Much in Each Group? (Part 1)
  93. 22.6: How Much in Each Group? (Part 2)
  94. Section 23: Algorithm for Fraction Division
  95. 23.1: Dividing by Unit and Non-Unit Fractions
  96. 23.2: Using an Algorithm to Divide Fractions
  97. Section 24: Fractions in Lengths, Areas, and Volumes
  98. 24.1: Fractional Lengths
  99. 24.2: Rectangles with Fractional Side Lengths
  100. 24.3: Fractional Lengths in Triangles and Prisms
  101. 24.4: Volume of Prisms
  102. Section 25: Let's Put It to Work
  103. 25.1: Solving Problems Involving Fractions
  104. 25.2: Fitting Boxes into Boxes
  105. 5: Arithmetic in Base Ten
  106. Section 26: Warming Up to Decimals
  107. 26.1: Using Decimals in a Shopping Context
  108. Section 27: Adding and Subtracting Decimals
  109. 27.1: Using Diagrams to Represent Addition and Subtraction
  110. 27.2: Adding and Subtracting Decimals with Few Non-Zero Digits
  111. 27.3: Adding and Subtracting Decimals with Many Non-Zero Digits
  112. Section 28: Multiplying Decimals
  113. 28.1: Decimal Points in Products
  114. 28.2: Methods for Multiplying Decimals
  115. 28.3: Using Diagrams to Represent Multiplication
  116. 28.4: Calculating Products of Decimals
  117. Section 29: Dividing Decimals
  118. 29.1: Using the Partial Quotients Method
  119. 29.2: Using Long Division
  120. 29.3: Dividing Numbers that Result in Decimals
  121. 29.4: Dividing Decimals by Whole Numbers
  122. 29.5: Dividing Decimals by Decimals
  123. Section 30: Let's Put It to Work
  124. 30.1: Using Operations on Decimals to Solve Problems
  125. 30.2: Making and Measuring Boxes
  126. 6: Expressions and Equations
  127. Section 31: Equations in One Variable
  128. 31.1: Tape Diagrams and Equations
  129. 31.2: Truth and Equations
  130. 31.3: Staying in Balance
  131. 31.4: Practice Solving Equations and Representing Situations with Equations
  132. 31.5: A New Way to Interpret a over b
  133. Section 32: Equal and Equivalent
  134. 32.1: Write Expressions Where Letters Stand for Numbers
  135. 32.2: Revisit Percentages
  136. 32.3: Equal and Equivalent
  137. 32.4: The Distributive Property, Part 1
  138. 32.5: The Distributive Property, Part 2
  139. 32.6: The Distributive Property, Part 3
  140. Section 33: Expressions with Exponents
  141. 33.1: Meaning of Exponents
  142. 33.2: Expressions with Exponents
  143. 33.3: Evaluating Expressions with Exponents
  144. 33.4: Equivalent Exponential Expressions
  145. Section 34: Relationship Between Quantities
  146. 34.1: Two Related Quantities, Part 1
  147. 34.2: Two Related Quantities, Part 2
  148. 34.3: More Relationships
  149. Section 35: Let's Put it to Work
  150. 35.1: Tables, Equations, and Graphs, Oh My!
  151. 7: Rational Numbers
  152. Section 36: Negative Numbers and Absolute Value
  153. 36.1: Positive and Negative Numbers
  154. 36.2: Points on the Number Line
  155. 36.3: Comparing Positive and Negative Numbers
  156. 36.4: Ordering Rational Numbers
  157. 36.5: Using Negative Numbers to Make Sense of Contexts
  158. 36.6: Absolute Value of Numbers
  159. 36.7: Comparing Numbers and Distance from Zero
  160. Section 37: Inequalities
  161. 37.1: Writing and Graphing Inequalities
  162. 37.2: Solutions of Inequalities
  163. 37.3: Interpreting Inequalities
  164. Section 38: The Coordinate Plane
  165. 38.1: Points on the Coordinate Plane
  166. 38.2: Constructing the Coordinate Plane
  167. 38.3: Interpreting Points on a Coordinate Plane
  168. 38.4: Distances on a Coordinate Plane
  169. 38.5: Shapes on the Coordinate Plane
  170. Section 39: Common Factors and Common Multiples
  171. 39.1: Common Factors
  172. 39.2: Common Multiples
  173. 39.3: Using Common Multiples and Common Factors
  174. Section 40: Let's Put it to Work
  175. 40.1: Drawing on the Coordinate Plane
  176. 8: Data Sets and Distributions
  177. Section 41: Data, Variability, and Statistical Questions
  178. 41.1: Got Data?
  179. 41.2: Statistical Questions
  180. Section 42: Dot Plots and Histograms
  181. 42.1: Representing Data Graphically
  182. 42.2: Dot Plots
  183. 42.3: Using Dot Plots to Answer Statistical Questions
  184. 42.4: Interpreting Histograms
  185. 42.5: Using Histograms to Answer Statistical Questions
  186. 42.6: Describing Distributions on Histograms
  187. Section 43: Measures of Center and Variability
  188. 43.1: Mean
  189. 43.2: Finding and Interpreting the Mean as the Balance Point
  190. 43.3: Variability and MAD
  191. 43.4: Using Mean and MAD to Make Comparisons
  192. Section 44: Median and IQR
  193. 44.1: Median
  194. 44.2: Comparing Mean and Median
  195. 44.3: Quartiles and Interquartile Range
  196. 44.4: Box Plots
  197. 44.4.1: Using Box Plots
  198. Section 45: Let's Put it to Work
  199. 45.1: Using Data to Solve Problems
  200. 9: Putting it All Together
  201. Section 46: Making Connections
  202. 46.1: Fermi Problems
  203. 46.2: If Our Class Were the World
  204. 46.3: Rectangle Madness
  205. Section 47: Voting
  206. 47.1: More than Two Choices
  207. 47.2: Picking Representatives
  208. Section 48: Let's Put it to Work
  209. 48.1: How Do We Choose?
  210. Back Matter
  211. Index
  212. Glossary
  213. Detailed Licensing