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**Imagine you work at an orchard and have 27 apples…**

And they’re in a basket Ok, but your apples are Green…

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1 27

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**Your boss at the orchard tells you to put the green apples**

into bags that hold three apples each… = 1 2 3 If you had x-ray vision, this is what you’d see in this bag… I promise…

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**18 How would you figure out how many bags you would**

need for the 27 apples? 1 2 3 4 5 6 18 6 bags is only enough for apples…

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**One way to solve this problem would be to take**

3 apples out of the basket and put them in one bag. To start: = 24 apples left in the basket… And one bag with 3 apples… 1 2 3

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1 24

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**You could repeat: take 3 more out of the basket: 24 - 3 = 21 apples left in the basket…**

And you would have 2 bags holding 6 apples in total… 4 5 6 2

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1 21

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Can you figure out how many times you could take 3 apples out of the basket before the basket is empty? What’s your answer?

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If you said 9 times, you’d be correct… 9 7 8 6 5 3 2 4 1

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**How can you show all this mathematically?**

9 X 3 = 27 Because 9 groups of 3= 27 or 27÷3 The last two both mean 27 divided by 3 or 3 27

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Work on this one!!! You have a giant container of ice cream and you’re going to make quadruple scoop cones for your friends. The container has enough ice cream for 28 scoops. How many quadruple-scoop cones can you make? By the way, 4 A quadruple scoop cone has how many scoops of Ice-cream

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**Is this Mr. R. when he was a kid?**

4 3 2 1

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**What does the question look like mathematically?**

Division is sharing or grouping a number into equal parts For example 6÷2 = 3 equal groups with 2 in each group 3 2 6 But let’s get back to the ice cream…

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We have 28 scoops of ice cream and we need to find out how many equal groups of 4 we can make. How can we write a math sentence to represent this? Is it 4 x 28? Is it 28 ÷ 4 Is it ? Is it Is it Which one of these is used to share 28 into equal groups of 4?

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**Sometimes to solve a division problem like 28 ÷ 4, we**

we may use a lot of subtraction… = 24 1 cone 2 cones = 20 = 16 3 cones You can continue subtracting 4 scoops of ice cream until there are none left…

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**Besides subtraction, we could draw a diagram or**

use manipulatives for help…

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**Here we use a diagram to divide the**

28 ice cream scoops into groups of 4…

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**Our multiplication facts (and fact families) can really help in division…**

How many ice cream scoops would you use for 4 cones?

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If 4 cones = 16 scoops How many cones would it take to reach 28 scoops?

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**What number (of cones), multiplied by 4 (scoops of ice cream) =**

28 scoops in all? 5 cones x 4 scoops = 20 scoops 6 x 4 = 24 scoops 7 x 4 = 28 scoops

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**Finally, you can use fact families to help with division…**

If 7 x 4 = 28 Than 28 ÷ 4 = 7

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Now it’s ice cream time!!!

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Work on this one!!! You have a container of ice cream and you’re going to make triple scoop cones for your friends. The container holds 18 scoops. How many triple-scoop cones can you make? By the way, 3 A triple scoop cone has h scoops of ice-cream

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Part 2

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**First of all, you would need a bigger basket…**

What in the world would you do if you had 771 apples in your basket??? We would need a bigger basket… First of all, you would need a bigger basket…

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Still not 771!!!!

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And still not at 771!!!!

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**Anyway, your boss wants you to put 3 apples in each bag again…and she**

wants you to keep track of how many bags you used. = 1 2 3 Can you estimate how many bags you would need for 771 apples?

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**Do you think you would you need more than 100 bags for the 771 apples?**

Why?

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**I’m tired of apples, I want ice cream!!!**

fourth

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**I guess you could figure out how many bags **

you would need by taking away 3 apples at a time again… 771-3 = = 765-3= =759 -3=756 -3= = 750 But that would take a long time, wouldn’t it?

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**What if you took 300 apples out**

of the basket all at once? Can you figure out how many bags you would need to hold 300 apples?

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**100 If you said bags, you’d be correct…**

Let’s put those 300 apples in 100 RED bags….

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**How many apples would you have left in your basket?**

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Well, = 471 Apples left

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**I think you NEED more bags!!!**

Uh-oh, you have 100 red bags of apples, (with 300 apples in them) But you still have 471 apples left in your basket… I think you NEED more bags!!!

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Hey, maybe you can fill another 100 bags? What do you think? Why?

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**Sure you can, because you have more than**

Apples apples left…. 300

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**So you tell your boss you have apples left,**

and you need 100 more bags to hold more apples. 471 300

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**This time, you put the 300 apples in BLUE bags…**

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**600 Now you have 200 bags that are holding apples… RED bags and**

BLUE bags 600 apples… 100 100

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**How many apples would you have left in your basket?**

More than what’s in this basket!!!

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**171 If you thought: 471 apples minus 300 apples, you’d be correct**

That’s equal to apples…

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**What will you do with those 171 apples that are still in the basket?**

No, you can’t eat them- 171 apples will upset your stomach, besides, you have to sell them so you can buy your teachers big birthday gifts… Can you fill another 100 bags with apples? Why?

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**Just how many bags can you fill with your 171 apples?**

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**Can you think of any multiple of 3 that’s **

less than 171? Let’s try some… 3 x 90 bags = 270 apples That’s more than 171 apples 3 x 80 bags= 240 apples Nope, still too much

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**How can you figure out a multiple that is less**

than 171… Yup, it’s a great time to use those mental math multiplication skills!!!

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How about 3 x 50 3 x 50 = 150 That’s less than 171… You can take apples out of the basket…. 150

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**Let’s make 50 more bags of 3 apples each!**

We’ll use green bags this time!!

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Okay, let’s review… You took out 300 apples, and put them in 100 red bags…

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**Then you took out 300 more apples,**

And put those in 100 blue bags…

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**100 red + 100 blue + 50 green Then you took 150 apples from the basket**

and put those in 50 green bags… How many bags have we used together? 100 red blue + 50 green

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250 bags in all !!!

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**But you still have apples in our basket…**

What are you ever going to do? NO YOU CAN’T EAT THEM!!!

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**First of all, how many apples are left?**

You had 171, and you took out 150…. Figure that out…

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If you said, you would be correct… 21 apples,

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**Can you find a multiple of 3 that’s less than, or equal to 21???**

Think multiplication tables…

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10 x 3 = 30 apples Too many…it’s more than 21 apples you have 5 x 3 = 15 apples You could use 5, because you do have 15 apples, but is there a better choice? What do you think?

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**Oh, so you thought of a multiple that**

will give you exactly 21 apples? Sure, 7 x 3 = 21

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**So you need 7 more bags to hold the remaining**

21 apples…Let’s use purple bags…

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**I think you can tell your boss that you’re done!!!**

Do you have any apples left in your basket? No, not in this basket I think you can tell your boss that you’re done!!!

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**But your boss wants to know**

how many bags you used altogether…

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**Let’s count our bags… 257 100 red bags 100 blue bags 50 green bags**

7 purple bags 257 bags altogether!!!

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**Let’s count our apples…**

100 red bags 300 apples 300 apples 100 blue bags 50 green bags 150 apples 7 purple bags 21 apples 771 = 257 bags in all apples in all

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**So 771 divided into groups of 3 =**

257 With a remainder of 0 apples!!!

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Now you can eat an apple!!! BUT WAIT!!!!!!

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**What does all of that look like as a division problem?**

771 ÷ 3 or 3 771

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**Let’s do this on ‘paper’…Please get a blank sheet out…**

Let’s think about how you subtracted apples… First we subtracted 300 apples from 771 using 100 red bags 100 bags 3 771 -300 471 left…

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**Then we subtracted 300 more apples from the**

remaining 471 using another 100 blue bags… 100 bags 100 bags 3 3 771 771 -300 471 -300 171 left…

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**50 bags 100 bags 100 bags 3 3 771 771 -300 471 -300 171 -150 21 left…**

Then we subtracted 150 apples from the remaining 171 using 50 green bags 50 bags 100 bags 100 bags 3 3 771 771 -300 471 -300 171 -150 21 left…

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7 bags Then we subtracted 21 more apples using 7 purple bags 50 bags 100 bags 100 bags 3 3 771 771 -300 471 -300 171 -150 21 -21 0 left

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**Can you solve this one using the same method?**

Add up the bags and that’s 257 bags!!! Can you solve this one using the same method? 3 633

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