Combine knowledge of multiplication facts and place value to multiply multi-digit numbers. Transition from multiplying single digits fluently, to multiplying 1-digit by 3-digit multiples of 100, up to 2-digit by 2-digit and 1-digit by 4-digit numbers. Use area models, number bonds, and the partial products algorithm.
Transition from number bonds to using equations and mental math. What's 9x7? 9 groups are 5 groups and 4 groups. Since 5x7 = 35 and 4x7 = 28, 9x7 = 35+28 = 63. 9 groups are also 10 groups minus 1 group. Since 10x7 = 70, 9x7 = 70-7 = 63. Build computational fluency by breaking numbers apart in different ways. Prerequisites: 3-45
Multiply a 1-digit number and multiple of 100 by thinking in hundreds. What's 3 x 500? 500 is 5 hundreds, so 3 x 5 hundreds = 15 hundreds = 10 hundreds + 5 hundreds = 1,000+500 = 1,500. Think of "00" as hundreds. What's 4 x 600? 4 x 6 hundreds = 24 hundreds = 20 hundreds + 4 hundreds = 2,000 + 400 = 2,400. Prerequisites: 3-106