Multiplicative Thinking. Workshop 2 Situations for Multiplication and Division. Learning intentions for this workshop. Know the range of situations in which multiplication and division are used. Analyse strategies that students might use in solving these problems.
Situations for Multiplication and Division
People who understand division recognise that sharing and measurement problems can be answered with the same calculation and attach the objects last.
256 ÷ 2 = 128,
128 ÷ 2 = 64,
64 ÷ 2 = 32.
32 teams can be fed.
Each time you share one object to each person you take away a set of six!
How many times can you do that?
All of the problems you are about to solve involve multiplication and division. As you encounter new problem types we’ll build up a matrix like this:
WindowsThe windows to minutes rate could be shown as a table in this way:
Henry’sThe marbles problems could be shown as a table in this way:
BoysThe boys to girls problems could be shown as a table in this way:
= 35 in total
Shorts the number of possible combinations is determined by multiplication.
4.6 which is a special case of area.
6.7What is the area of each yellow rectangle in square units?
250 000 m which is a special case of area.2By changing the unknown in an area problem you can change the required operation to division: