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

What do you know about division? Think Pair Share

Division Show 35 ÷ 5 with your base ten blocks Write the inverse multiplication sentence that this also represents

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!

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

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!

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

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

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

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!

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…

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.

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