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*Don’t forget to sign in!*. Division in Media. One Note on the Standard Algorithm. Interpreting Our Answers. 400 students are going on a field trip. If each bus can fit 83 students, how many busses are necessary? 400÷83=4R68 4 means: 68 means: Answer is:. On your calculator:. Calculate:

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  1. *Don’t forget to sign in!* Division in Media

  2. One Note on the Standard Algorithm

  3. Interpreting Our Answers • 400 students are going on a field trip. If each bus can fit 83 students, how many busses are necessary? • 400÷83=4R68 • 4 means: • 68 means: • Answer is:

  4. On your calculator: Calculate: 3 • 4 – 8 ÷ 2 =

  5. On MY calculator 3 • 4 – 8 ÷ 2 =

  6. Now try: (3 • 4) – (8 ÷ 2) = 3 • (4 – 8) ÷ 2 = 3 • (4 – (8 ÷ 2)) =

  7. Order of Operations • Parenthesis • Exponents • Multiplication/Division • Addition/Subtraction Note: We use parenthesis to “override” the order of operations

  8. Can you… Give examples of related facts? Show 4 different ways to find: 37 • 41? Show 4 different ways to find: 2795 ÷ 23? Explain why each solution method applies to multiplication or division? Vocabulary: factor, product, partial product, dividend, divisor, quotient, remainder Write word problems for: repeated addition, repeated measure, area, Cartesian product, repeated subtraction, and partitive division?

  9. What have I learned? Can you give an example of each model? Repeated addition Repeated subtraction Repeated measures Partition (Partitive) Cartesian Product Rectangular Area Arrays

  10. What have I learned? Commutative, associative, distributive properties. Write examples, and when are they used? Identity and inverse properties Write examples and when are they used? Related facts. If 6 • 3 = 18, then…

  11. What have I learned? Show 35 • 24 using 4 different methods. At least 1 from videos; at least 1 from explorations Show 2977 ÷ 14 using 4 different methods. At least 1 from videos; at least 1 from explorations

  12. Can I explain… Why each different solution method is an example of multiplication or division? Vocabulary: factor, product, partial product, dividend, divisor, quotient, remainder

  13. Explain what is wrong: “50 ÷ 7 is the same as 50 ÷ 10, (which is 5) then because I adding 3 to the divisor I now need to subtract 3: 5 - 3 = 2.”

  14. Estimate 35 • 49. • Show 3 different ways to find: 35 • 49. • Estimate 27984 ÷ 82. • Show 27984 ÷ 82 using the scaffolding method.

  15. 35 • 49 is about 35 • 50. Think: 30 • 50 = 1500, and 5 • 50 = 250, so 1750. Methods: rectangular area, lattice multiplication, Egyptian Duplation, any of the methods used by the kids. 27984 ÷ 82: 82 • 1 = 82; 82 • 10 = 820; 82 • 100 = 8,200; 82 • 1000 = 82,000.So, the quotient is between 100 and 1000, and is closer to 100. Now: 8 • 3 = 24, so guess 300.

  16. 27984 ÷ 82 82 • 1 = 82; 82 • 10 = 820; 82 • 100 = 8,200 120 20300 82 ) 2798424600 33841640 17441640 10482 22

  17. I’m thinking of a number. It is less than 50. When I divide it by 8, I get a remainder of 5. But when I divide it by 7, I get a remainder of 2. Use the manipulatives to find my number.

  18. Do I Understand??? Given: 4 7X 3 9 4 2 31 4 1__ 1 8 3 3 Question: Without doing any work, what is 30 • 47? How do you know?

  19. Do I Understand? Given: 208 R 7 18 ) 375136 151144 Question: Without doing any work, what is 200 • 18? How do you know?

  20. Make this true for order of operations 12 ÷ 4 - 2 • 5 = 30What other values can we get using 12 ÷ 4 - 2 • 5?

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