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Bakery Packing Puzzle: Understanding Ways to Pack Tarts

Explore the various ways a bakery can pack tarts in singles, sets of ten, and boxes of 100 for shipping. Discover patterns, organize builds, and identify strategies to pack 124 tarts. Learn how to represent and compare different packing combinations efficiently.

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Bakery Packing Puzzle: Understanding Ways to Pack Tarts

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  1. Packing Problems The bakery makes tarts. They pack the tarts as singles, in sets of ten and in boxes of one hundred to ship to stores. If a store ordered 124 tarts how many ways could the bakery pack them?

  2. EXPLAIN & REPRESENT MY BUILDS

  3. ten tens 100 24 ones 24 COMPARE One hundred 100 2 tens 20 4 ones 4 12 tens 120 4 ones 4 9 tens 90 34 ones 34 11 tens 110 14 ones 14

  4. 12 tens 120+4 4 ones ORGANIZE 11 tens 110+14 14 ones They all have 100+20+4 in them... Can you explain? 10 tens 100+24 24 ones 9 tens 90 + 34 34 ones Are they all in the image?

  5. Build a chart

  6. LOOK for and EXPLAIN Patterns

  7. Can you see inside 124? 110 + 10 + 4 100 + 20 + 4 90 + 30 + 4 80 + 40 + 4 70 + 50 + 4 60 + 60 + 4 50 + 70 + 4 40 + 80 + 4 30 + 90 + 4 20 + 100 + 4 10 + 110 +4

  8. How many ways can you pack369?How can you be sure you have them all?

  9. 300 60 369 9

  10. 200 160 2 hundreds 16 tens 369 9 9 ones

  11. 200 160 2 hundreds 16 tens 369 9 9 ones How many ways can you make 369? Organize your data. Do you see a pattern?

  12. 300 70 379 9 What changed?

  13. 1000 + 500 + 70 + 3 One thousand, 5 hundreds, 7 tens, 3 ones 1573 15 hundreds,7 tens, 3 ones 500 500 500

  14. On a number line?

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