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I can create algebraic expressions from a word problem.
EA
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Elizabeth Ayers
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Updated Sep 27, 2020
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00:00 - 00:04
Hello. For today's problem, we're going to need our math,
00:04 - 00:05
interactive notebook and a pencil.
00:06 - 00:08
You might also have to pause from time to time
00:08 - 00:09
to write something down.
00:11 - 00:13
Go ahead and write down our learning target.
00:14 - 00:17
I can create an algebraic expression from a word problem
00:20 - 00:21
and problem of the day.
00:22 - 00:24
We have been writing unit bars, followed by an equation.
00:25 - 00:28
Today we're going to combine unit bars.
00:29 - 00:31
I kind of still do the same thing with an
00:31 - 00:35
equation. So how do we create an equation To represent
00:35 - 00:35
the problem?
00:39 - 00:45
Write down the following Where problem One gallon of orange
00:45 - 00:49
juice costs $6 stand spends $23 for three gallons of
00:49 - 00:51
orange juice and a bag of spinach.
00:52 - 00:54
Write an equation that can be used to find s
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the cost of spinach in dollars.
00:58 - 01:00
You may pause if you need more time to write.
01:05 - 01:08
Step one creating model for the problem.
01:11 - 01:14
Write down the following unit bars and I will explain
01:15 - 01:15
here in a minute.
01:23 - 01:23
Step two.
01:24 - 01:27
We're going to write an equation to match the problem.
01:28 - 01:29
So let's take a look at that.
01:29 - 01:31
You know that unit bar that you just wrote down
01:32 - 01:35
23 is the total amount that stands spent.
01:36 - 01:39
In problem of the day, we would have isolated that
01:39 - 01:43
23 put it outside our unit bar and then add
01:44 - 01:46
some more information inside that unit bar.
01:46 - 01:50
So right now, 23 is representing the whole the total
01:50 - 01:55
amount. That's why it's taking up the whole unit bar.
01:56 - 01:59
Then we connected a second unit bar, which are the
01:59 - 02:06
parts six plus six plus six, which represents the three
02:06 - 02:09
gallons of orange juice stands spent.
02:10 - 02:18
He also spent and unknown amount off for spinach which,
02:18 - 02:21
being which is being represented by the unknown variable s.
02:24 - 02:26
So what does this look like when we write an
02:26 - 02:28
equation, we'll hear some possible equations.
02:29 - 02:35
23 equals six plus six plus six plus s is
02:35 - 02:38
representing exactly what we just saw.
02:39 - 02:43
However, we can also write it down as 23 equals
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six times three plus s six times three is representing
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the repeated edition of six plus six plus six.
02:53 - 02:56
Or we can flip it so that we can have
02:56 - 02:59
an equation in the way we normally see it six
03:00 - 03:02
times three plus s equals 23.
03:04 - 03:09
But what if none of these possible equations were part
03:09 - 03:10
of your answer choices.
03:11 - 03:16
If you have multiple choice remembering problem of the day,
03:16 - 03:18
we have been flipping our symbols.
03:19 - 03:22
So here's another way to look at it, and that
03:22 - 03:24
is to use fact families notice.
03:25 - 03:28
This time that 23 is part of my expression and
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s is on the right side of our are equal
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sign, but it still comes out to the same answer.
03:37 - 03:43
23 minus parentheses, six times three close parentheses equals s.
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And why did we put as on the opposite side
03:47 - 03:47
of the equal sign?
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Well, that's because we're trying to find out how much
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we spent on spinach.
03:54 - 03:55
Let's try another example.
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Write this down.
04:00 - 04:03
It takes Mrs Cox 14 hours to make one blanket.
04:04 - 04:07
Last month, she spent 70 hours making blankets.
04:08 - 04:10
Mrs. Cox sold each blanket for $35.
04:12 - 04:15
Mrs. Cox uses this equation to find D the total
04:16 - 04:20
amount total number of dollars she earned from blanket sales
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last month.
04:22 - 04:23
Remember to pause if you need more time to write,
04:30 - 04:31
so let's see what that looks like in the unit
04:32 - 04:32
bar. Step one.
04:33 - 04:36
In model math drawing, I would have put the total
04:37 - 04:39
hours outside of my unit bar.
04:41 - 04:45
But right now I'm putting 70 hours inside my unit
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bar representing the whole the total amount, followed by 14
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hours, which is representing just one of those blankets.
04:55 - 04:59
But I need to find out how many blankets I
04:59 - 05:00
made in those 70 hours.
05:06 - 05:10
Then I had to make another unit bar because once
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I found out how Maney blankets I made now I
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need to find out how much each of those blankets
05:18 - 05:20
brought in for a total sale.
05:21 - 05:24
Step two, When I made when Mrs Cox made one
05:25 - 05:26
blanket, she made $35.
05:28 - 05:31
When she made her second blanket, she made $35.
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When she made her third blanket, she made $35 and
05:37 - 05:37
so on.
05:37 - 05:41
So we have 35 plus 35 plus 35 plus 35
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plus 35 equals How much she earned.
05:51 - 05:57
We can write that equation as 35 times 70 parentheses.
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70 divided by 14 close parentheses equals the amount she
06:04 - 06:04
earned. D.
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So how many dollars did Mrs Cox earned from black
06:08 - 06:08
and sales?
06:09 - 06:12
We'll be sure to apply the correct order of operation
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Step one.
06:15 - 06:17
We're going to write down the first step that we
06:17 - 06:17
just did.
06:18 - 06:21
70 divided by 14 equals five blankets.
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Step two, 35 times five blankets equals 175.
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So she earned $175.
06:39 - 06:44
Now it's your turn to try on page 180 on
06:44 - 06:46
your think up book, you're going to work.
06:47 - 06:49
The two problems that say try it.
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