1. Making sense of division
October 29, 2013
Making sense of division

2. What do you know about division?
Think
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3. Division
Show 35 ÷ 5 with your base ten blocks
Write the inverse multiplication sentence that this also represents

4. 35 ÷ 5 = x x = 7
The 5 tells you the number of groups! You have to figure out how many are in each group the x!

5. Multiplication & Division are related
35 ÷ 5 =7
5 x 7 = 35
How are multiplication and division related?
What vocabulary do we use to explain the parts of a multiplication problem?
How do these words connect to the division problem

6. Division Vocabulary dividend- the number that is divided
Divisor- the number that divides the dividend (one of the factors in multiplication); it is the known factor in division
Quotient- the result of the division (the other factor in multiplication); the unknown factor in division
The order of the factors in multiplication doesn’t affect the answer because of the commutative property, but the order in a division problem is important!

7. Ungrouping
When you did 35 ÷ 5, what did you ungroup to make equal groups of 5?

8. When you figure it out, explain what you did in your spiral notebook
Now try…
350 ÷ 5 = x
When you figure it out, explain what you did in your spiral notebook

9. 350 ÷ 5 = x
5 groups! Draw those first.

10. 350 ÷ 5 = x Now figure out how many go in each group!
We know 5 x 7 = 35, so we also know that 5 x 70 = 350!
Check answer with multiplication!

11. 104 ÷ 4 = x
Draw 4 groups!
I can regroup my 104 into tens and divide that first.
I can do 2 tens in each group. This means I have given out/divided 80.
104 – 80 = 24 “pieces” left to divide among the four groups…

12. 104 ÷ 4 = x
104 – 80 = 24 “pieces” left to divide among the four groups…
24 ÷ 4 = 6!
Give 6 more to each group.
Each group has 26 pieces.
104 ÷ 4 = 26.

13. Check with multiplication!
104 ÷ 4 = 26
26 x 4 = 104