Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.
description
Transcript of Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.
![Page 1: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/1.jpg)
Long Division: Using Standard Algorithm
Adapted from 21st Century Lessons
1
![Page 2: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/2.jpg)
2
Objectives
• Students will be able to indentify the parts of division problems in various forms.
• Students will be able to explain and apply multi-digit division using standard algorithm.
• Students will be able to discuss long division using correct vocabulary.
![Page 3: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/3.jpg)
Vocabulary
• Algorithm: A formula or set of steps for solving a problem.
• Division: Splitting of large numbers into equal groups of smaller numbers.
• Dividend: Number being divided.• Divisor: Number you are dividing by.• Quotient: Answer to a division problem.
![Page 4: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/4.jpg)
Vocabulary Video
http://youtube.com/watch?v=0RCjWZe0qBQ
![Page 5: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/5.jpg)
5
On a school field trip, your class followed a treasure map and found a buried treasure! Imagine that your class has 25 students total, and that there were 1000 gold coins in the treasure chest.How many coins
does each student get? Express your answer in three different ways.
Warm Up
![Page 6: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/6.jpg)
Warm Up
6
Express the problem in three ways.
We found 1000 gold coins, and need to divide them equally between the 25 students in our class.
_____ 25) 1000 1000 =
251000 ÷ 25 =
![Page 7: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/7.jpg)
Warm Up
7
So how many coins does each student get?
_____ 25) 1000 1000 =
251000 ÷ 25 =
We’ll check back on this problem in a little while!
![Page 8: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/8.jpg)
8
With your partner, list the three ways to express the clam’s division problem.
![Page 9: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/9.jpg)
9
With your partner, list the three ways to express the clam’s division problem:
FRACTION LONG DIVISION ALGORITHM
NUMBER SENTENCE
![Page 10: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/10.jpg)
The Steps to Long Division Video
http://www.youtube.com/watch?v=0uZiqk_ZdcA
![Page 11: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/11.jpg)
11
How many steps are there in the long division algorithm?
![Page 12: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/12.jpg)
12
How many steps are there?
![Page 13: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/13.jpg)
13
Let’s apply the steps to long division to a new problem:
84 ÷ 6 = ?
![Page 14: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/14.jpg)
Explore
14
DIVIDE
MULTIPLY
SUBTRACT
BRING DOWN
![Page 15: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/15.jpg)
15
Set up the problem: 84 ÷ 6 = ? in the long division algorithm looks like which of the options below?
84 ? ) 6
84 = ? 6
84 6 ) ?
6 = ? 84
? 6) 84
84 = ? 6
CHOICE A CHOICE B CHOICE C
✗ ✗
![Page 16: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/16.jpg)
16
8 ÷ 6 =
STEP ONE: DIVIDE
We divide the dividend by the divisor.
1Follow along with the Guided Practice Worksheet!
1
![Page 17: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/17.jpg)
17
6 x 1 =
STEP TWO: MULTIPLY
We multiply
6
6
![Page 18: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/18.jpg)
18
STEP FOUR: BRING DOWN
We bring the 4 down
4
![Page 19: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/19.jpg)
19
8 – 6 =
STEP THREE: SUBTRACT
We subtract
22
![Page 20: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/20.jpg)
20
NOW WHAT???
![Page 21: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/21.jpg)
21
24 ÷ 6 =
STEP ONE: DIVIDE
We divide
4
4
![Page 22: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/22.jpg)
22
6 X 4 =
STEP TWO: MULTIPLY
We multiply
242 4
![Page 23: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/23.jpg)
23
24 – 24 =
STEP THREE: SUBTRACT
We subtract
00
![Page 24: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/24.jpg)
24
STEP FOUR: BRING DOWN
There is no number to bring down – we’re almost DONE!
![Page 25: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/25.jpg)
25
Don’t forget to check your answer!
The opposite of 84 ÷ 6 = 14 is
6 X 14 =
![Page 26: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/26.jpg)
26
Checking your answer
84
14x 6
![Page 27: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/27.jpg)
Practice 1
27
Let’s try one more problem – try it alone and we’ll review it together!
What do these number sentences look like in the long division algorithm?
? 12) 144
144 ÷ 12 = ? 14412 = ?
![Page 28: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/28.jpg)
Practice 1
28
14 ÷ 12 =
STEP ONE: DIVIDE
What are we dividing?
1
We are dividing the dividend by the divisor.
1
![Page 29: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/29.jpg)
Practice 1
29
12 X 1 =
STEP TWO: MULTIPLY
We multiply12
12
![Page 30: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/30.jpg)
Practice 1
30
14 – 12 =
STEP THREE: SUBTRACT
We subtract 22
![Page 31: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/31.jpg)
Practice 1
31
STEP FOUR: BRING DOWN
We bring down
4
![Page 32: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/32.jpg)
Practice 1
32
NOW WHAT???
![Page 33: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/33.jpg)
Practice 1
33
24 ÷ 12 =
STEP ONE: DIVIDE
We divide the dividend by the divisor.
2
2
![Page 34: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/34.jpg)
Practice 1
34
12 x 2 =
STEP TWO: MULTIPLY
We multiply 2424
![Page 35: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/35.jpg)
Practice 1
35
24 - 24 =
STEP THREE: SUBTRACT
We subtract 0
0
![Page 36: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/36.jpg)
Practice 1
36
STEP FOUR: BRING DOWN
There is no number to bring down – we’re almost done!
![Page 37: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/37.jpg)
Practice 1
37
Don’t forget to check your answer!
The opposite of 144 ÷ 12 = 12 is
12 X 12 =
![Page 38: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/38.jpg)
Practice 1
38
Checking your answer
144
12x 12
![Page 39: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/39.jpg)
Exit Ticket
39
So how many coins does each student get?
_____ 25) 1000 1000 =
251000 ÷ 25 =
Show your work using the long division algorithm.
![Page 40: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/40.jpg)
Exit Ticket
40
So how many coins does each student get?
Each student gets gold
coins!40
![Page 41: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/41.jpg)
Summary
1. How many steps are there to the long division algorithm? What are they?
2. What is the trick the video taught us to remember the steps?
3. Is there anything confusing about usingthe long division algorithm?
41
![Page 42: Long Division: Using Standard Algorithm Adapted from 21 st Century Lessons 1.](https://reader036.fdocuments.net/reader036/viewer/2022062317/5a4d1b157f8b9ab05999133d/html5/thumbnails/42.jpg)
42
Credits
Original lesson designed by Catherine Murphy & Sarah Kelly. 21st Century Lessons. Funded by the American Federation of Teachers. Retrieved from http://www.sharemylesson.com