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MANY ology MATH a Natural Science about the Natural Fact MANY

MANY ology MATH a Natural Science about the Natural Fact MANY. MATH e CADEMY.net. T = llll = =. 1 digit M ath : 1.order-counting creates icons. T = 7 1s = ? 3s = ? 5s. ) ). ) ). 2 ) 1) = 2.1 3s. 1 ) 2) = 1.2 5s.

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MANY ology MATH a Natural Science about the Natural Fact MANY

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  1. MANYologyMATHa NaturalScience aboutthe NaturalFactMANY MATHeCADEMY.net

  2. T = llll = = 1digitMath: 1.order-counting creates icons

  3. T = 7 1s = ? 3s = ? 5s ) ) ) ) 2 ) 1) = 2.1 3s 1 ) 2) = 1.2 5s 1digitMath: 2.order-counting creates decimal numbers & units

  4. T = 7 1s = ? 2s ) ) ) ) ) 3 ) 1) = 3.1 2s 1)1)1) = 11.1 2s 1digitMath: Overload calls for an extra cup

  5. 5.8 3s = ? 5.8 3s = 5) 8) = 5+1) 8-3) = 6) 5) 6) 5) = 6+1) 5-3) = 7) 2) 7) 2) = 1) 7-3) 2) = 1) 4) 2) 1) 4) 2) = 1+1) 4-3) 2) = 2) 1) 2) 5.8 3s = 6.5 3s = 7.2 3s = 14.2 3s = 21.2 3s 1digitMath: Overloads can be removed or created by re-bundling

  6. T = ?*b T = ?+b IIIIII = II II II IIIIII = IIII II 6 = (6/2)*2 6 = (6-2)+2 T = (T/b)*b T = (T-b)+b reBundle Formula reStack Formula -3: take away 3 /3: take away 3s +3: add 3 Nex-to *3: add 3 times On-top T = (T/b)*b T = (T-b)+b 1digitMath: reBundling and reStacking predicted by formulas

  7. 4 5s = ? 7s T = (T/b)*b T = (T– b)+b 4 5s = (4*5)/7 *7 = 2.? *7 4 5s = (4*5 – 2*7) + 2*7 = 6 + 2*7 = 2.6 7s 4 5s = 2.6 7s 1digitMath: Formulas predict re-counting

  8. 4£=5$: 7£ = ?$ & 8$ = ?£ $ = ($/£)*£ $ = (5/4)*7 = 8.75 £ = (£/$)*$ £ = (4/5)*8 = 6.4 T = (T/b)*b, $ = ($/£)*£, £ = (£/$)*$ 1digitMath: Changing units by re-counting

  9. 2.3 *b = ? 23 /b = ? 23 /b = 2.3*b/b = 2.3 2.3 *b = 2)3) *b = 2)3)) = 23.0 2.3 *b = 23.0 23 /b = 2.3 1digitMath: Adding or removing right-cups moves the decimal point

  10. 10 = ? 10 = Bundle = 5 with 5 as the bundle-size 1digitMath: 10 is a cognitive bomb

  11. 2.4 5s + 1.3 5s = ? 2.4 5s = 2) 4) 1.3 5s = 1) 3) = 3) 7) = 3+1) 7-5) = 4) 2) 2.4 5s + 1.3 5s = 4.2 5s 1digitMath: Overloads are removed by re-bundling

  12. 4.2 5s - 1.3 5s = ? 5s 4.2 5s = 4) 2) = 4-1) 2+5) = 3) 7) 1.3 5s = 1) 3) = 2) 4) 4.2 5s - 1.3 5s = 2.4 5s 1digitMath: Overloads are created by re-bundling

  13. 1.3 4s + 2.4 5s = ? 4s + + + + ) ) ) ) = ) ) = ) ) 1) 3) 3) 2)= 4) 5) = 5) 1) 1.3 4s + 2.4 5s = 5.1 4s 1digitMath: Adding On-top means changing units by re-counting

  14. 1.3 4s + 2.4 5s = ? 9s + ) ) 2) 3) 1.3 4s + 2.4 5s = 2.3 9s 1digitMath: Adding next-to means integrating

  15. ? + 5 = 9 ? * 5 = 9 x+5 = 9 = (9-5)+5 x*5 = 9 = (9/5)*5 x = 9-5 x = 9/5 T = (T-b)+b T = (T/b)*b T = x+b T-b = x T = x*b (T/b) = x 1digitMath: Reversing Addition on-top creates equations

  16. ? 4s + 2 5s = 3 9s p = DT/Dx 1digitMath: Reversing addition next-to creates differentiation

  17. 1/2 + 2/3 = 3/5 or 7/6 Question: 1 of 2 + 2 of 3 = ? Inside School: Outside School: PerNumbers add as Areas: (1/2)*2 + (2/3)*3 = (3/5)*5 1 2 1*3 2*2 7 2 3 2*3 3*2 6 1 2 1+2 3 2 3 2+3 5 + = + = + = = 1/2 2/3 3/5 = 2 3 5 1digitMath: Per-numbers need units to be added

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