lesson #22 - creating division stores - partitive

8/10/2019 Lesson #22 - Creating Division Stores - Partitive

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The Number SystemDay 6VAN SICLEN COMMUNITY MIDDLE SCHOOL

MR. E GRADE 6 MATHEMATICS

CLASS 602/603/604/605

NOVEMBER 14, 2014


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www.tinyurl.com/vscmath61

TODAYS LESSON

LINK


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Do Now5 minutes - Choose twMr. Campbell told Mr. E

1

3

of1

2

=1

6

. Is he correct?

Explain/how do you know?

What percent of the figure below is

orange? Yellow? Black?

2

5of a number is 6. What is the number?


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Lesson OverviewWe have gotten far better at creating ourown story problems involving division withfractions (measurement division)!

Here is an example of one: Mr. E has3

4lb. of

pizza dough. It takes1

2lb. of pizza dough to

make a slice. How many slices of pizza can Mr.E make?

How can we solve this problem?Congratulations!!!

Today we will continue to createstory problems involving division fractions. However, today we will partitive division!


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Lets Share.Division Problems 2 miTake two minutes to look at the measurement division problems your group created


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Partitive Division.Partitive division is when we know the whole is, and we know how many groups webut we need to find out how much is in each group. Whenever we divide a whole nfraction, the answer will be larger than the whole number we started with. Here is example:

Example #140 2

3

Step 1Like step one from last time, determine if you want your problem to be meor partitive. Today, we are focusing on partitive.


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Draw a model3 minutesThe second step requires us to draw a model of the problem.

We can start by drawing three equal-sized rectangles, because the denominator in

means we are using thirds).

How many of the 3 rectangles does the 40 account for?

How many would be in each box?

Exampl


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Find the Answer!2 minutesStep 3 to making our own partitive division word problem is to find the answer.

40 2

3means that 40 is

2

3of some number that is larger than 40.

Look at our tape diagram. What is1

3of the number?

What is 40 2

3? _________________


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Choose a Unit!1 minuteStep 4 is to choose a unit. Remember that a unit is a type of measurement. Exampl

Liters

Meters

Feet

Pounds

Ounces

Dollars

Hours

For our example, we are going to use dollars.


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Create our story problem!5minutesLike last time, step 5 involves us making our own story problem. Remember that it MUS

Contain all of the information needed to solve the problem

Makes sense

Is realistic

Is interesting

Is short

Is very clear

Mr. Es ExampleJack spent $40 of his allowance money. This was2

3of his allowance m

much allowance money did he start with?

Mr. Es Example #2Ms. Fashusi ran 40 miles in a track race and is2

3of the way to the

How many miles long is the race?


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Lets Try it Again! 3 minutes

Divide 45

3

8Step #1 - Decide if partitive or measurement.

Step #2Draw a model (Hint: How many equal sized rectangles do you need? Howknow?)


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Step 2 ContinuedStep #2Draw a model (Hint: How many equal sized rectangles do you need? Howknow?)

The 45 accounts for how many of these rectangles? How do you know?

So, 45 must be spread out evenly among _______ eights. What number belongs in

Divid


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Steps 3 & 4Solve and choose unit!What is the answer to 45

3

8

Step #4Choose a unit! One of Mr. Es example will use pencils.

Example Units:

Dollars

Pencils

Hours

Meters

Feet

Pounds

Divid


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Create our story problem!5minutesLets try again!! Remember that it MUST:

Contain all of the information needed to solve the problem

Makes sense

Is realistic

Is interesting

Is short

Is very clearMr. Es ExampleMr. E donated 45 pencils to Mr. Campbells class. This was

3

8of the to

Mr. Es pencils. How many pencils does Mr. E have?

Mr. Es Example #2Mr. E started a math tutoring program and 45 days have passed. Ithe length of the program, how long is the program?


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What did we learn? - 3 minutesWhat were your biggest challenges when writing division with fraction word prob


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HomeworkDueTuesday/WednesdayCreate your own partitive division word problem using the two problems on the gi

lesson #22 - creating division stores - partitive

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