1. Imagine you work at an orchard and have 27 apples…
And they’re in a basket
Ok, but your apples are
Green…

2. 1 27

3. 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…

4. 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…

5. 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

6. 1 24

7. 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

8. 1 21

9. 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?

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

11. 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

12. 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

13. Is this Mr. R. when he was a kid?4 3 2 1

14. 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…

15. 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?

16. 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…

17. Besides subtraction, we could draw a diagram or
use manipulatives for help…

18. Here we use a diagram to divide the
28 ice cream scoops into groups of 4…

19. Our multiplication facts (and fact families) can really help in division…
How many ice cream scoops would you use for
4 cones?

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

21. 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

22. Finally, you can use fact families to help with division…
If 7 x 4 = 28
Than 28 ÷ 4 = 7

23. Now it’s ice cream time!!!

24. 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

25. Part 2

26. 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…

28. Still not 771!!!!

29. And still not at 771!!!!

30. 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?

31. Do you think you would you need more than 100 bags for the 771 apples?
Why?

32. I’m tired of apples, I want ice cream!!!
fourth

33. 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?

34. 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?

35. 100 If you said bags, you’d be correct…
Let’s put those 300 apples in 100 RED bags….

36. How many apples would you have left in your basket?

37. Well, =
471
Apples left

38. 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!!!

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

40. Sure you can, because you have more than
Apples apples left….
300

41. So you tell your boss you have apples left,
and you need 100 more bags to hold
more apples.
471
300

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

43. 600 Now you have 200 bags that are holding apples… RED bags and
BLUE bags
600
apples…
100
100

44. How many apples would you have left in your basket?
More than what’s in
this basket!!!

45. 171 If you thought: 471 apples minus 300 apples, you’d be correct
That’s equal to apples…

46. 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?

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

48. 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

49. 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!!!

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

51. Let’s make 50 more bags of 3 apples each!
We’ll use green bags this time!!

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

53. Then you took out 300 more apples,
And put those in 100 blue bags…

54. 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

55. 250
bags in all !!!

56. But you still have apples in our basket…
What are you ever going to do?
NO YOU CAN’T EAT THEM!!!

57. First of all, how many apples are left?
You had 171, and you took out 150….
Figure that out…

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

59. Can you find a multiple of 3 that’s less than, or equal to 21???
Think multiplication tables…

60. 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?

61. Oh, so you thought of a multiple that
will give you exactly 21 apples?
Sure, 7 x 3 = 21

62. So you need 7 more bags to hold the remaining
21 apples…Let’s use purple bags…

63. 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!!!

64. But your boss wants to know
how many bags you used altogether…

65. Let’s count our bags… 257 100 red bags 100 blue bags 50 green bags
7 purple bags
257
bags altogether!!!

66. 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

67. So 771 divided into groups of 3 =
257
With a remainder of 0 apples!!!

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

69. What does all of that look like as a division problem?
771 ÷ 3 or 3
771

70. 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…

71. 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…

72. 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…

73. 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

74. 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