Saturday, May 10, 2025

 

Montessori Stamp Game: Multiplication 27 × 34 Step 1: Get out Skittles and build array with stamps Get out 5 Skittles: 7 green and 2 yellow. Each Skittle represents a digit in the multiplier (27). • 7 green Skittles represent the "7" in 27 (ones place) • 2 yellow Skittles represent the "2" in 27 (tens place) 7 green Skittles (ones place) 2 yellow Skittles (tens place) For each yellow Skittle (representing tens digit "2"), place: • 3 green thousands (not applicable in this multiplication) • 3 red hundreds (2 × 3 = 6 red hundreds total) • 4 blue tens (2 × 4 = 8 blue tens total) Yellow Skittles area (tens place "2" × 34) 6 red hundreds 8 blue tens For each green Skittle (representing ones digit "7"), place: • 3 red hundreds (7 × 0 = 0 red hundreds total) • 3 blue tens (7 × 3 = 21 blue tens total) • 4 green units (7 × 4 = 28 green units total) Green Skittles area (ones place "7" × 34) 21 blue tens 28 green units Step 2: Combine the stamps using place value Gather stamps of the same place value together: • Red hundreds: 6 • Blue tens: 8 + 21 = 29 • Green units: 28 Combined stamps before trading 6 red hundreds 29 blue tens 28 green units Step 3: Trade the stamps Trade 10 units for 1 ten, 10 tens for 1 hundred, and 10 hundreds for 1 thousand until all values are less than 10: 1. Trade 10 green units for 1 blue ten (leaving 8 units) 2. We now have 30 blue tens 3. Trade 10 blue tens for 1 red hundred (leaving 0 tens) 4. Trade another 10 blue tens for 1 red hundred (leaving 10 tens) 5. Trade another 10 blue tens for 1 red hundred (leaving 0 tens) 6. We now have 9 red hundreds 7. No need to trade hundreds for thousands Final result after trading: 918 9 red hundreds 1 blue ten 8 green units 3 4 × 2 7 ------ 2 3 8 (34 × 7) 6 8 0 (34 × 20) ------ 9 1 8 Color Coding Legend: Red Hundreds Blue Tens Green Units Yellow Skittle Green Skittle
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