WEBVTT
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I will read the problem.
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I will reread the problem
if I don't understand it.
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Next.
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Read the problem.
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One tray holds 2/3 of a pie.
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How much pie would there be on 4 trays?
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Let's look at our definitions.
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Tray.
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A flat, shallow container made of wood,
metal, etc.
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usually with slightly raised edges
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used for carrying food.
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The definition of hold is to have or keep
objects.
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Close.
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Next.
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Do I understand the problem
and can now move forward?
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Yes. Yes,
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you understand the problem.
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Now let's move to the next step.
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Restate.
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Close.
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I will find all important information
in the problem and click and highlight it.
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Next one tray holds 2/3 of a pie.
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How much pie would there be on 4 trays?
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I know that 2/3 of a pie is important.
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Knowing that we're looking
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for 4 trays is important.
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Also, knowing that 2/3 of a pie is on
one tray is important.
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And the question
how much pie is also important.
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Let's check.
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Did I find all the information
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in the problem
and highlight them by clicking?
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Yes. Yes,
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you know the important information.
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Now let's move to the next step.
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Represent.
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Close.
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I will represent the problem. Next.
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Touch or drag relevant numbers
from the word problem.
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Our multiplier
is the number of equal groups.
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Our multiplicand
is the number of units in one group.
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This will help us find our product,
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which is the number of units
in the number of equal groups.
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Our unit amount in this problem is pie,
because we are looking for how much pie.
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Let's extend
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multiplication from whole numbers
to fractions.
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Multiplicand
is the number of units in one group.
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There is two thirds of a pie in one tray.
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One whole pie
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was partitioned into three equal parts.
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We have two parts,
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each the size of one third.
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So two thirds of a pie is what we have
shaded yellow
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here.
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Two thirds of a pie represents the
multiplicand and fits on one tray only.
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This represents
the amount of pie on one tray.
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We are finding
how much pie we will have on four trays,
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which is the number of groups
in this problem.
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This is going to be our multiplier.
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We want to find four trays
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of two thirds of a pie.
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Each row represents
one tray containing two thirds of a pie.
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Four rows of
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two thirds of a pie are the amount of pie
we are looking for.
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We can count and check our amounts.
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Thus,
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2/3,
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4/3, 6/3,
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and 8/3
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are those pies in four trays displayed
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as the purple color in these rectangles.
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Let's check.
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Did I touch or drag relevant numbers?
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Yes. Yes,
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you represented the problem correctly.
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Now, let's move to the next step.
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Answer. Close.
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I will write the equation and answer it.
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Next.
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In the Represent step,
we figured out that our multiplicand
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is 2/3
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and our multiplier is 4.
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4 as a whole number can also be expressed
as 4 over 1.
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Now, to find our product, we're going to
multiply these two fractions
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by multiplying the numerators
and multiplying the denominators.
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4 times 2 is 8 in the numerator
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and 1 times 3 is 3
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in the denominator.
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We find that our answer is 8/3.
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What do we have 8/3 of?
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We have 8/3 of a pie.
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8/3 is also an improper fraction
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because our top number, the numerator
8, is greater than the bottom number,
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The denominator of 3.
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We can change our improper fraction
into a mixed number
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to see how many whole pies we have.
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Our denominator tells us
that there are three equal parts
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in each whole pie, and we have eight parts,
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each the size of one third of the pie
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all together.
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One whole pie
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would be three thirds
because three pieces, each
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the size of one third of the unit amount
makes a whole pie.
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Let's take three
pieces and form one whole pie
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from our 8/3.
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We're taking away three thirds.
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Now we are left with 5/3,
which is five pieces,
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each the size of one third.
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Now, let's make one other whole pie
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by taking three more pieces from our 5/3.
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We have 5/3, and we'll take away
three more thirds.
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Now we are left with two thirds,
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and we have two whole pies.
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Using the product
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button here,
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we can change our improper fraction.
Two whole pies
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and two thirds left over.
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Let's check.
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Have I correctly written the equation
and insert it?
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Yes. Yes,
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you are right.
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You wrote the equation
correctly and answered it.
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Good job.