Division Algorithms Compare the scaffolding algorithm with the standard algorithm.

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Presentation transcript:

Division Algorithms Compare the scaffolding algorithm with the standard algorithm.

An alternative method of division

Meaning of Division 9 ÷ 2 = 4 R1means 2 ∙ = 9

Mathematical language

For any whole numbers a and b, except that b cannot be equal to zero, there exist two whole numbers q and r such that a is equal to b times q plus r, where r is less than b and could possibly be equal to zero.

Mental Division Some are easier to do in our heads than others: 6000/30 How about 152 divided by 8?

Simplify

Rules for order of operations Pleaseparentheses from inside out excuseexponents mymultiplication and Deardivision from left to right Auntaddition and Sallysubtraction from left to right

Rules for order of operations Why do we have the rules? Where did the rules come from?

Order of operations

Simplify

Rules for order of operations Pleaseparentheses from inside out excuseexponents my Dear multiplication and division from left to right Aunt Sally addition and subtraction from left to right

Rules for order of operations Why do we have the rules? Where did the rules come from?

Order of operations

Connections Addition and Multiplication Subtraction and Division

Connections Addition and Subtraction

Inverse Operations Addition and subtraction Number line representations

Inverse Operations Multiplication and Division number line representation