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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.

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: = 2.”

14. Estimate 35 • 49.
Show 3 different ways to find:
35 • 49.
Estimate ÷ 82.
Show ÷ 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 Now: 8 • 3 = 24, so guess 300.

16. 27984 ÷ 82
82 )
82 • 1 = 82; 82 • 10 = 820; 82 • 100 = 8,200

17. I’m thinking of a number. It is less than 50
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 7 X 3 9 4 2 3 1 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 ) 3751 36 151 144
Question: Without doing any work, what is 200 • 18? How do you know?

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