There are 7 waka in the race. Each waka holds 3 students.There are 6 bags of shellfish (kaimoana).Each one can take 2 people on the school trip. Introduce the session by asking the students to work through several equal group (set) problems first and then ask them to pose their own problems.Using a variety of materials can help students see the multiplicative structure that is common to a variety of problems and assist them to transfer their understanding to situations which are new to them. In other words, the order of the factors does not affect the product (answer) in multiplication.Īs well as thinking about multiplication in a variety of situations, students are encouraged to use a variety of materials to solve the problems. For example, this chocolate block has two rows of five pieces (2 x 5 or 5 x 2).Īrray problems can help students to see the commutative property of multiplication, for example, that 5 x 2 = 2 x 5. An array is a structure of rows and columns. A multiplicative answer is 4 x 3 =12 so Anshul’s block is four times higher than Min’s. How much taller is Anshul’s block than Min’s?”Īn additive answer is 12 – 3 = 9 floors. Comparison problems involve the relationship between two quantities, for example: The rate in Hone’s problem is “five centimetres for every week". How long will his plant be after six weeks?” “Hone’s kumara plant grows five centimetres each week after it sprouts. A measurement rate problem is usually something like this: This is an equal sets problem that contains the rate "four biscuits for every bag". How many biscuits does she buy altogether?” All multiplication situations contain some form of rate but at this level, the problems are usually about equal sets or measurement. They do so by solving rate problems, comparison problems and array problems.Ī rate problem involves a statement of "so many of one quantity for so many of another quantity". In this unit, students think about multiplication as a short way to find the result of repeated addition of equal sets. Multiplication is used in many different situations. The basic concept of multiplication is an important one because of its practicality (how much do 4 ice creams cost at $2 each?) and efficiency (it is quicker to determine 4 x 2 than to calculate 2 + 2 + 2 + 2).
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