Pulling Information to a new sheet if a match

A litle more info on where this stuff was (column IDs needed) would have been helpful. However, use variants of this array formula:

=IFERROR(INDEX(Everything!B:B,SMALL(IF(Everything!$BV$3:$BV$302<>0,ROW(Everything!$BV$3:$BV$302)),ROWS(A$9:A9))),"")

Array Formulae are a little different from ordinary formulae in that they MUST be confirmed in the FIRST CELL ONLY by pressing CTRL+SHIFT+ENTER to activate the array, not just ENTER. After that, the array can be dragged down as normal, to cover the desired range.

You will know the array is active when you see curly brackets { } - or "curly braces" for those of you in the USA, or "flower brackets" for those of you in India - appear around the outside of your formula. If you do not use CTRL+SHIFT+ENTER you will (almost always) get an error message or an incorrect answer. Press F2 on that cell and try again.

Don't type the curly brackets yourself - it won't work...

Perhaps the following will help.
1) A table of values is placed on sheet 1 in K2:T5
2) Cell B6's data validation is linked to the values in K2:K5
3) The values in D8:J8 are populated using: =INDEX($M2:$T5,MATCH($B6,$K2:$K5,0),COLUMN(A:A))
Note that zeros are hidden using conditional formatting (font = white)
4) The values in column A are populated using*:

Formula:

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5) The values in columns B:C are populated using: =IFERROR(INDEX(Table1[Type],MATCH($A9,Table1[[School]:[School]],0)),"")
6) The values in columns D:J are populated using:

Formula:

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*Denotes an array entered formula which is confirmed as per directions in Glenn's post.
Note that the formula in column A refers to a helper column (CC) on the Everything sheet.
The helper column is populated using: =SUMPRODUCT((BU$2:BX$2=INDEX(Sheet1!L$2:L$5,MATCH(Sheet1!B$6,Sheet1!K$2:K$5,0)))*(BU3:BX3<>0))
The helper column may be moved and/or hidden for aesthetic purposes.
Let us know if you have any questions.