Common Core Math Questions

In November, PARCC, one of the two multi-state consortia developing Common Core assessments, released some more sample questions. CCSSI Mathematics has  good analysis of them.  As they right note, this is an exercise in factoring, not in multiplication. The 10 x  10 grid prohibits a student from arranging the tiles in a 2 x 24 or 4 x 12 grid. Only the 6 x 8 or 8 x 6 rectangular shape is possible.

Screen Shot 2014-02-19 at 9.17.09 AM

Screen Shot 2014-02-19 at 9.17.23 AM


I have one more criticism to add for his math problem: the user interface is awful. To answer the question, the students need to click on at least 48 squares. This is a tedious task. With a pencil, the students could easily shade them in broad strokes across columns or rows. The user interface does not permit them to select tiles by click-and-drag or using the keyboard. To un-select the tiles, the student must click each one. So an error in selecting them, could require a child to make more than 48 mouse-clicks.

Then there is part C:

Screen Shot 2014-02-19 at 9.37.15 AM


Again, CCSSI Mathematics has a good criticism of the age-inappropriate nature of these CC standards. Setting that aside, as the item is written, the answer range is quite broad. Consider this:Screen Shot 2014-02-19 at 9.41.18 AM

This is a multiplication question that Andy could have written. It doesn’t represent the problem in C, but the item-writers did not require the test subject to do so. All they asked for was an multiplication equation that used ? to represent the number of row. Is this a correct answer? Or this:

Screen Shot 2014-02-19 at 9.50.56 AM

Neither demonstrates any understanding of the problem posed in C, but they are mathematically accurate multiplication equations that Andy could have written. And quite sophisticated ones indeed.

141 thoughts on “Common Core Math Questions

  1. Chris, I also have issues with the term “rectangular array”. Thus this is not only a math problem, but a reading comprehension problem and depends on how you interpret the meaning of rectangular array. For example in part A, when I first read it, I thought, gee I could just randomly choose individual squares, as each individual square could be its own rectangular array. You could instead say “contiguous rectangular array” but then your vocabulary might exceed the students’ capacity. Finally, there’s the issue of English Language Learners. If this test is not offered in your native language, god help you.

    By the way, what grade level is this sample question intended for?

    Great stuff!

  2. Pingback: get cialis fast
  3. Pingback: phentermine
  4. Pingback: Shaun
  5. Pingback: Roberto
  6. Pingback: marcus
  7. Pingback: alexander
  8. Pingback: Trevor
  9. Pingback: Carlos
  10. Pingback: ron
  11. Pingback: James
  12. Pingback: Eugene
  13. Pingback: Brandon
  14. Pingback: Harold
  15. Pingback: andrew
  16. Pingback: Roy
  17. Pingback: Leslie
  18. Pingback: Joey
  19. Pingback: bill
  20. Pingback: Clinton
  21. Pingback: Aaron
  22. Pingback: news
  23. Pingback: dale
  24. Pingback: guy
  25. Pingback: vincent
  26. Pingback: Shaun
  27. Pingback: Brett
  28. Pingback: clarence
  29. Pingback: donnie
  30. Pingback: alfredo
  31. Pingback: russell
  32. Pingback: louis
  33. Pingback: Franklin
  34. Pingback: Ben
  35. Pingback: Tracy
  36. Pingback: Ronald
  37. Pingback: Ralph
  38. Pingback: liszt
  39. Pingback: Leroy
  40. Pingback: Milton
  41. Pingback: Clifton
  42. Pingback: Kelly
  43. Pingback: we spam google
  44. Pingback: raul
  45. Pingback: Roy
  46. Pingback: jeremiah
  47. Pingback: Keith
  48. Pingback: Joe
  49. Pingback: Alfonso
  50. Pingback: Philip
  51. Pingback: gregory
  52. Pingback: Leroy
  53. Pingback: Robert
  54. Pingback: Alfred
  55. Pingback: Maurice
  56. Pingback: neil
  57. Pingback: norman
  58. Pingback: Everett
  59. Pingback: Gene
  60. Pingback: Marshall
  61. Pingback: Vanessa Smith
  62. Pingback: download mozilla
  63. Pingback: java download
  64. Pingback: air max girls
  65. Pingback: skype download
  66. Pingback: wildstar gold
  67. Pingback: wowgoldreviews
  68. Pingback: cheap michael kors
  69. Pingback: ray ban optik
  70. Pingback: ray ban outlet
  71. Pingback: ray ban outlet
  72. Pingback: ray ban wayfarer
  73. Pingback: michael kors 2015
  74. Pingback: ray ban wayfarer
  75. Pingback: ray ban outlet
  76. Pingback: ray ban sunglasses
  77. Pingback: ray ban optik
  78. Pingback: michael kors sale
  79. Pingback: ucuz michael kors
  80. Pingback: ray ban g枚zl眉k
  81. Pingback: ray ban aviator
  82. Pingback: ray ban wayfarer
  83. Pingback: ray ban outlet
  84. Pingback: ray ban wayfarer
  85. Pingback: michael kors 2015
  86. Pingback: ray ban outlet
  87. Pingback: cheap michael kors
  88. Pingback: 抗投诉服务器
  89. Pingback: net
  90. Pingback: nike tr free