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wintersuntime

  • one year ago

Can someone be nice enough to help me please with this worksheet -> http://crsearch.fcps.edu/crsearch/retrieveresourcefile.cfm?hxresid=R001EED

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  1. wintersuntime
    • one year ago
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    It's the one of building staircases

  2. dan815
    • one year ago
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    what are you confused about?

  3. wintersuntime
    • one year ago
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    about how to get 100

  4. dan815
    • one year ago
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    what do you mean

  5. dan815
    • one year ago
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    could you please ask your question clearly about what is confusing you

  6. wintersuntime
    • one year ago
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    what is the total numbers of cubes how many steps I need in 100

  7. dan815
    • one year ago
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    ah okay like this

  8. dan815
    • one year ago
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    |dw:1438307419721:dw|

  9. dan815
    • one year ago
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    |dw:1438307470634:dw|

  10. dan815
    • one year ago
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    you see how the number of cubes needed is increasing for each step

  11. wintersuntime
    • one year ago
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    yes but I need to find out the total number of cubes

  12. wintersuntime
    • one year ago
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    for 100

  13. dan815
    • one year ago
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    right look at this pattern

  14. dan815
    • one year ago
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    for 1 step its 1 for 2 its 1+2 for 3 its 1+2+3 for 100 its 1+2+3+4....+99+100

  15. dan815
    • one year ago
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    you have to see what the sums upto

  16. dan815
    • one year ago
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    there is a trick to find out what that sums upto

  17. dan815
    • one year ago
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    |dw:1438307608134:dw|

  18. dan815
    • one year ago
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    if you add the first and last together the 2nd and 2nd last the 3rd and 3rd last they all give u the same number

  19. dan815
    • one year ago
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    how many of those additions will there be if u add this way

  20. dan815
    • one year ago
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    there is another way to look at it

  21. dan815
    • one year ago
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    lets take a simpler example

  22. dan815
    • one year ago
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    1+2+3+4+5 = ?

  23. dan815
    • one year ago
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    what you can do is rewrite another replica of it backwards 1+2+3+4+5=? 5+4+3+2+1=? --------------- 6+6+6+6+6= 5*6 --------------- we added 2 sums we only want to find out 1+2+3+4+5 so we divide 5*6 by 2= 5*6/2= 30/2=15 so 1+2+3+4+5=15

  24. dan815
    • one year ago
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    we can use this same trick for this 1+2+3+4+5+6.....99+100

  25. dan815
    • one year ago
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    can you figure that out

  26. dan815
    • one year ago
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    http://prntscr.com/7z2m2l

  27. wintersuntime
    • one year ago
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    so for 100 its 99

  28. wintersuntime
    • one year ago
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    @dan815

  29. dan815
    • one year ago
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    so for 1 to 100

  30. dan815
    • one year ago
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    lets do a smaller example how about 1 to 10

  31. dan815
    • one year ago
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    1+2+3+4+5+6+7+8+9+10=? remember the trick from before?

  32. dan815
    • one year ago
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    lets add this set back to itself

  33. dan815
    • one year ago
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    1+2+3+4+5+6+7+8+9+10=? 10+9+8+7+6+5+4+3+2+1 =? now add each column ------------------------------ 11+11+11+11...+11 =? how many 11s will there be?

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