This Week's Standard:
MGSE5.NBT.6
Fluently divide multi-digit whole numbers using the standard algorithm (or other strategies demonstrating understanding of division) up to a 4-digit by 2- digit factor.
THREE STRATEGIES
Strategy: Make an array with base 10 blocks
Vocabulary:
Dividend - the number you are dividing.
1175 / 25 = 47
Divisor - the amount of times you are dividing
1175 / 25 = 47
Quotient - the answer to a division problem
1175 / 25 = 47
Vertically - going up and down
Horizontally - going left to right
How it works:
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Expand the dividend to see how many and what kind of base 10 blocks you need.
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Make an array of the divisor vertically.
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Use the remaining blocks to continue your array horizontally.
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The amount of groups horizontally is your quotient.
Strategy: Area model
Vocabulary:
Friendly number-numbers you know how to easily multiply with other numbers (1, 10, 100, 50, 20)
How it works:
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Use a friendly number like 100 to make your first area box and put the amount inside the box
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Subtract that amount from the dividend
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Use another friendly number like 100, 50, or 20 or 10
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Subtract that amount from the dividend
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Keep subtracting until what is left is smaller than your divisor.
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Add up all the groups you made for your answer.
Strategy: Multiplication relationship
Vocabulary:
Relationship - connection
How it works:
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Set up your division problem as a multiplication problem
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Choose a number that you can multiply that will closely solve your new problem. Try friendly numbers.
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Keep subtracting your products.
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Add up all the numbers you chose for your answer/quotient.