Powers of 10 and Number Decomposition Walkthrough

Section role: supports the synthesis section while the teacher formalizes student discoveries into academic concepts of composition and decomposition using powers of 10. Slides: (1) Title — 'The Secret of Tens'; (2) Factory Shipping Codes — bullets: connecting the previous box-packing challenge to formal math sentences; (3) What is Composition? — definition and example of building a number from its parts; (4) What is Decomposition? — definition and example of breaking 432 apart; (5) Exploring Powers of 10 — bullets: showing 10 as 10, 100 as 10 x 10, and 1,000 as 10 x 10 x 10; (6) Full Notation Walkthrough — step-by-step breakdown of 432 into (4 x 100) + (3 x 10) + (2 x 1); (7) The Importance of Zero — visual example showing why placeholders matter in decomposition; (8) Video Transition — prompt to watch a short clip reinforcing visual connections. Closing slide: 'How can we write any large number using powers of 10?' — sets up the individual engineer checkpoint that follows.


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