AC9M5N06
solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
Elaborations
- AC9M5N06_E1solving multiplication problems such as 253 ×4 using a doubling strategy; for example, 2 ×253 = 506 and 2 ×506 = 1012
- AC9M5N06_E2solving multiplication problems like 15 ×16 by thinking of factors of both numbers, 15 = 3 ×5, 16 = 2 ×8; rearranging the factors to make the calculation easier, 5 ×2 = 10, 3 ×8 = 24 and 10 ×24 = 240
- AC9M5N06_E3using an array to show place value partitioning to solve multiplication, such as 324 ×8, thinking 300 ×8 = 2400, 20 ×8 = 160, 4 ×8 = 32 then adding the parts, 2400 + 160 + 32 = 2592 ; connecting the parts of the array to a standard written algorithm
- AC9M5N06_E4using different strategies used to multiply numbers, explaining how they work and if they have any limitations; for example, discussing how the Japanese visual method for multiplication is not effective for multiplying larger numbers
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