The Brandywine School District presents The Singapore Math Series Session III
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Transcript of The Brandywine School District presents The Singapore Math Series Session III
Created by Hester Sutton March 2011
The Brandywine School District
presentsThe Singapore Math Series
Session IIIMultiplication and Division
Problem SolvingWords
diagram
Arithmetic
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
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
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
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
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
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
hundreds onestens
Multiplication with Rebundling
43 x 4 = 172
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
hundreds onestens
= 727 3
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
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
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
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
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
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
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.