Third and Fourth GradeDivision

Solve Using Manipulatives• I have 15 cookies. I will give of my three friends the same

amount until no cookies are left. How many cookies will each get?

• I have 18 party favors. Some friends came to my party. I gave my friends 2 favors each until none were left. How many friends came to my party?

• There are 42 crayons in a box. Each table of seven children is given a box. At the table all of the children get the same amount of crayons. How many does each get?

• A section of the theater has 72 seats. Each row has 8 seats in it. How many rows are there in this section?

Types of Division

• There are two types of division problems:– Partitive division problems (the number of partitions is

known) “Fair Share”– Measurement division problems (what is known is the

measurement or how much each partition gets) “Goes Into”– How can the problems you did on the previous slide be

classified?• For this long division investigation, we will focus on the

“fair share” or partitive model rather than the “goes into” model.

Sara won $484 in the lotto. She decided to give each of her four children an equal share. How much did each child get?

484 ÷ 4 = 121

Solve the problem 484 ÷ 4 using base-10 blocks

• Represent 484 with the fewest number of base-10 blocks.

• Put out one piece of paper for each group (four).• Distribute 484 evenly to each group.

Solve

The student store made $369 last week. Three students worked in the store and share the profit evenly. How much does each student get?

Solve

Three students work together to remove the seeds from a pumpkin. They removed 447 seeds from the pumpkin. How many seeds does each student get to take home and roast?

What was different about this problem? What place value did you start with? Why?

Solve

Four students worked together to sell candy for the school fundraiser. They earned $672 from the candy sale. How much did each student earn for the fundraiser?

What place value did you start with? Why?

Sara won $484 in the lotto. She decided to give each of her four children an equal share. How much did each child get?

484 ÷ 4 = 121

Working in groups of three to solve the problems below:One person works with the blocksOne asks the questionsOne student keeps the record

4844 3933 4473 6724

Step 1

Step 2

Step 3

Division - Area Model966 ÷ 7 is viewed as finding the unknown side length of a rectangular region with an area of 966 square units and a side length of 7 units. The amount of hundreds is found, then tens, then ones.