Copy Data Between Sheets & Summarize

I am trying to write a vba code which is attached to a button, that will do the follwing.
Take the data from one sheet and summarize it onto another one.

I'm not sure if I am going about it the correct way. My approach was going to be to copy all the data onto another page, sort it by columns A, B and C. But I've run into problems, I've attached a sample worksheet showing what I'm using and how I want to use it.

As well this is part of my code I started coming up with, am I on the right track?

[EDIT]
Ok so I've been playing around and thanks alot to bryce for making copying simplier, this is what I've gotten for my code so far (its a lot simplier than before)

Sub uTotals()

Dim wsData As Worksheet, wsResult As Worksheet
Dim DataRow As Long
Dim x As Integer

Set wsData = Worksheets("Material")
Set wsResult = Worksheets(" Totals")

DataRow = wsData. Range("A65536").End(xlUp).Row

For x = 1 To DataRow
wsData.Range("A" & x & ":" & "C" & x).Copy wsResult.Range("A65536").End(xlUp).Offset(1, 0)
wsData.Range("F" & x).Copy wsResult.Range("D65536").End(xlUp).Offset(1, 0)
wsData.Range("I" & x).Copy wsResult.Range("E65536").End(xlUp).Offset(1, 0)
Next x ...