Created by Hester Sutton March 2011 The Brandywine School District presents The Singapore Math Series Session III Multiplication and Division
Problem Solving Words 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$6 whole one part 30 ÷ 6 = 5 number of parts
hundredsonestens 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 ? Each boy cleaned 9 desks. 3 units = 27 1 units = 9
hundredsonestens = 7
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 = 35 5 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 = 7 5 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? 35 chickens ducks 7 35 ÷ 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.