Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math...
-
Upload
morris-owen -
Category
Documents
-
view
215 -
download
0
description
Transcript of Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math...
![Page 1: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/1.jpg)
Created by Hester Sutton March 2011
The Brandywine School District
presentsThe Singapore Math Series
Session IIIMultiplication and Division
![Page 2: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/2.jpg)
Problem SolvingWords
diagram
Arithmetic
![Page 3: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/3.jpg)
Part-Whole Model (Multiplication and Division)
part
whole
one part x number of parts = whole
whole ÷ number of parts = one part
whole ÷ one part = number of parts
![Page 4: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/4.jpg)
5 children shared the cost of a present equally. Each of them paid $6. What was the cost of the present?
Cost of the present
$6 x 5 = $30
?
$6
one part
number of parts
whole
![Page 5: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/5.jpg)
Part-Whole Model (Multiplication and Division)
part
whole
one part x number of parts = whole
whole ÷ number of parts = one part
whole ÷ one part = number of parts
![Page 6: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/6.jpg)
Four children bought a present for $28. They shared the costs equally. How much did each child pay?
Cost of the present
28
?
Each child paid $7
$28 ÷ 4 = $7 whole
number of parts
one part
![Page 7: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/7.jpg)
Part-Whole Model (Multiplication and Division)
part
whole
one part x number of parts = whole
whole ÷ number of parts = one part
whole ÷ one part = number of parts
![Page 8: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/8.jpg)
A group of children bought a present for $30. They paid $6 each. How many children were in the group?
Cost of the present
$30
$6 whole
one part
30 ÷ 6 = 5 number
of parts
![Page 9: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/9.jpg)
hundreds onestens
Multiplication with Rebundling
43 x 4 = 172
![Page 10: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/10.jpg)
There were 27 desks to clean. 3 boys shared the work equally. How many desks did each boy clean?
Desks
27
?
27 3 9
Each boy cleaned 9 desks.
3 units = 27
1 units = 9
![Page 11: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/11.jpg)
hundreds onestens
= 727 3
![Page 12: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/12.jpg)
Comparison Model (Multiplication and Division)
larger quantity
smaller quantity
larger quantity ÷ smaller quantity = multiple
smaller quantity x multiple = larger quantity
larger quantity ÷ multiple = smaller quantity
![Page 13: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/13.jpg)
A farmer has 7 ducks. He has 5 times as many chickens as ducks. How many chickens does the farmer have?
?
chickens
ducks
7
1 unit = 7 5 x 7 = 355 units = 35
The farmer has 35 chickens
![Page 14: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/14.jpg)
Comparison Model (Multiplication and Division)
larger quantity
smaller quantity
larger quantity ÷ smaller quantity = multiple
smaller quantity x multiple = larger quantity
larger quantity ÷ multiple = smaller quantity
![Page 15: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/15.jpg)
A farmer has 35 chickens. He has 5 times as many chickens as ducks. How many ducks does the farmer have?
35
chickens
ducks
? 1 unit = 7
35 ÷ 5 = 75 units = 35
The farmer has 7 ducks
![Page 16: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/16.jpg)
Comparison Model (Multiplication and Division)
larger quantity
smaller quantity
larger quantity ÷ smaller quantity = multiple
smaller quantity x multiple = larger quantity
larger quantity ÷ multiple = smaller quantity
![Page 17: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/17.jpg)
A farmer has 7 ducks and 35 chickens. How many times as many chickens as ducks does the farmer have?
35chickens
ducks
735 ÷ 7 = 5
The farmer has 5 times as many chickens as ducks
![Page 18: Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series…](https://reader036.fdocuments.net/reader036/viewer/2022070615/5a4d1bd57f8b9ab0599d9eb1/html5/thumbnails/18.jpg)
Kelly has $16. She has twice as much as her brother. How much money do Kelly and her brother have together?
Kelly
Brother
16
?
2 units = $16
1 units = $8
3 units = 8 x 3 = $24
8 They have $24 altogether.