I can create algebraic expressions from a word problem.

EA
by Elizabeth Ayers0 views·Updated Sep 27, 2020

Audio TranscriptAuto-generated

  1. Hello. For today's problem, we're going to need our math,
  2. interactive notebook and a pencil.
  3. You might also have to pause from time to time
  4. to write something down.
  5. Go ahead and write down our learning target.
  6. I can create an algebraic expression from a word problem
  7. and problem of the day.
  8. We have been writing unit bars, followed by an equation.
  9. Today we're going to combine unit bars.
  10. I kind of still do the same thing with an
  11. equation. So how do we create an equation To represent
  12. the problem?
  13. Write down the following Where problem One gallon of orange
  14. juice costs $6 stand spends $23 for three gallons of
  15. orange juice and a bag of spinach.
  16. Write an equation that can be used to find s
  17. the cost of spinach in dollars.
  18. You may pause if you need more time to write.
  19. Step one creating model for the problem.
  20. Write down the following unit bars and I will explain
  21. here in a minute.
  22. Step two.
  23. We're going to write an equation to match the problem.
  24. So let's take a look at that.
  25. You know that unit bar that you just wrote down
  26. 23 is the total amount that stands spent.
  27. In problem of the day, we would have isolated that
  28. 23 put it outside our unit bar and then add
  29. some more information inside that unit bar.
  30. So right now, 23 is representing the whole the total
  31. amount. That's why it's taking up the whole unit bar.
  32. Then we connected a second unit bar, which are the
  33. parts six plus six plus six, which represents the three
  34. gallons of orange juice stands spent.
  35. He also spent and unknown amount off for spinach which,
  36. being which is being represented by the unknown variable s.
  37. So what does this look like when we write an
  38. equation, we'll hear some possible equations.
  39. 23 equals six plus six plus six plus s is
  40. representing exactly what we just saw.
  41. However, we can also write it down as 23 equals
  42. six times three plus s six times three is representing
  43. the repeated edition of six plus six plus six.
  44. Or we can flip it so that we can have
  45. an equation in the way we normally see it six
  46. times three plus s equals 23.
  47. But what if none of these possible equations were part
  48. of your answer choices.
  49. If you have multiple choice remembering problem of the day,
  50. we have been flipping our symbols.
  51. So here's another way to look at it, and that
  52. is to use fact families notice.
  53. This time that 23 is part of my expression and
  54. s is on the right side of our are equal
  55. sign, but it still comes out to the same answer.
  56. 23 minus parentheses, six times three close parentheses equals s.
  57. And why did we put as on the opposite side
  58. of the equal sign?
  59. Well, that's because we're trying to find out how much
  60. we spent on spinach.
  61. Let's try another example.
  62. Write this down.
  63. It takes Mrs Cox 14 hours to make one blanket.
  64. Last month, she spent 70 hours making blankets.
  65. Mrs. Cox sold each blanket for $35.
  66. Mrs. Cox uses this equation to find D the total
  67. amount total number of dollars she earned from blanket sales
  68. last month.
  69. Remember to pause if you need more time to write,
  70. so let's see what that looks like in the unit
  71. bar. Step one.
  72. In model math drawing, I would have put the total
  73. hours outside of my unit bar.
  74. But right now I'm putting 70 hours inside my unit
  75. bar representing the whole the total amount, followed by 14
  76. hours, which is representing just one of those blankets.
  77. But I need to find out how many blankets I
  78. made in those 70 hours.
  79. Then I had to make another unit bar because once
  80. I found out how Maney blankets I made now I
  81. need to find out how much each of those blankets
  82. brought in for a total sale.
  83. Step two, When I made when Mrs Cox made one
  84. blanket, she made $35.
  85. When she made her second blanket, she made $35.
  86. When she made her third blanket, she made $35 and
  87. so on.
  88. So we have 35 plus 35 plus 35 plus 35
  89. plus 35 equals How much she earned.
  90. We can write that equation as 35 times 70 parentheses.
  91. 70 divided by 14 close parentheses equals the amount she
  92. earned. D.
  93. So how many dollars did Mrs Cox earned from black
  94. and sales?
  95. We'll be sure to apply the correct order of operation
  96. Step one.
  97. We're going to write down the first step that we
  98. just did.
  99. 70 divided by 14 equals five blankets.
  100. Step two, 35 times five blankets equals 175.
  101. So she earned $175.
  102. Now it's your turn to try on page 180 on
  103. your think up book, you're going to work.
  104. The two problems that say try it.