Long Division Equations

These are the equations you need. We can easily come up with workable addition, multiplication, and subtraction equations on the fly, but division? You need to have those prepared ahead of time so you don't end up with remainders. And when we're first introducing division, we can't add in that complexity or we may confuse the heck out of the kids! With these perfect equations, you won't have to rush over and snitch beads. Use these as soon as the children have some experience with short division.  

Use your base ten manipulatives to recreate the equation on each equation card. Layout the dividend (the first number in the equation). Then, get one tray for each divisor (one tray for each hundred, one tray for each ten, and one tray for each unit). Then, share the dividend out fairly (so every tray gets the same amount, with the hundred tray getting 100 times more than than the units tray, etc.) to create the quotient. 

Use these to encourage independent work with the golden beads or stamp game. For your initial addition presentation, use the enclosed equation master to handwrite your own equation. Then, introduce these prepared equations to give children problems they can solve independently.

Once children have gained experienced with dynamic equations, make photocopies of the equation master (included) to guide them in making their own math problems,... the birth of true mathematicians! Move on to multiplication after addition (putting the same thing together so many times).