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An alternative method of division. Division using manipulatives Use the base 6 blocks to find: 243 6 ÷ 5 6.

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Presentation on theme: "An alternative method of division. Division using manipulatives Use the base 6 blocks to find: 243 6 ÷ 5 6."— Presentation transcript:

1 An alternative method of division

2 Division using manipulatives Use the base 6 blocks to find: 243 6 ÷ 5 6

3 Division Algorithms Compare the scaffolding algorithm with the standard algorithm.

4 Meaning of Division 9 ÷ 2 = 4 R1means 2 ∙ 4 + 1 = 9

5 Mathematical language

6 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.

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

8 Simplify

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

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

11 Order of operations

12 Simplify

13 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

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

15 Order of operations

16 Connections Addition and Multiplication Subtraction and Division

17 Connections Addition and Subtraction

18 Inverse Operations Addition and subtraction Number line representations

19 Inverse Operations Multiplication and Division number line representation

20 For Thursday, March 11th Finish pages 5 - 15 in your class notes packet. This will count as a project grade, not a homework grade. For each question, be sure to explain both how the student answered the question, and why the mathematics is appropriate. The length of the answer is not what is important; it is the quality of the explanation.


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