Interpreting Remainders

Interpreting Remainders

What To Do with Remainders

Open Ended

What is your name?

My division problem has a remainder.

• Now what do I do?

• Problems with a remainder require you to be extra thoughtful.

• This lesson will teach you how to deal with remainders in real life.

Drop It (Ignore the Remainder)

• Mrs. Bushell is organizing her recipes into a binder. Exactly 4 recipes fit on each page. She has 22 recipes. How many pages will Mrs. Bushell fill?

• 22 ÷ 4 = 5 R 2

• What does the 2 represent? The 2 is the extra recipes that will go on a new page, but that page will not yet be filled.

• What does the 5 represent? The number of pages that will be completely filled. 

• In order to answer the question, I need to DROP the remainder. 

• Mrs. Bushell will fill 5 pages.

Use It (The remainder is your answer)

• The students in Miss Joseph’s class are forming groups of 4 for a math game. There are 22 students in her class. How many students will be left after groups of 4 are formed?

• 22 ÷ 4 = 5 R 2

• What does the 5 represent? The number of groups that are formed.  

• What does the 2 represent?  The number of students who will be left after the groups are formed.  

• In order to answer the question, I need to USE the remainder. 

• There will be 2 students left after groups are formed.

Add One (Add 1 to the quotient)

• Mrs. White is buying cupcakes for her class. The cupcakes come in boxes of 4. There are 22 students in her class. How many boxes of cupcakes does Mrs. White need to buy if she wants to give each student a cupcake?

• 22 ÷ 4 = 5 R 2

• What does the 5 represent? At least 5 boxes of cupcakes will need to be ordered.

• What does the 2 represent? The number of students who would not get a cupcake if only 5 boxes of cupcakes are ordered.

• I need to ADD 1 so that everyone gets a cupcake. Instead of 5 boxes of cupcakes, she needs to order 6 boxes.  (6x4=24, so everyone gets a cupcake)

Share It (Make a fraction)

• Miss O'Bryant has a long piece of paper. The paper is 22 inches long. She wants to cut the piece of paper into 4 equal pieces.  How long is each piece?

• 22 ÷ 4 = 5 R 2

• What does the 5 represent? Each piece will need to be at least 5 inches long.

• What does the 2 represent? 2 extra inches of paper

• In order to get 4 equal pieces, we need to cut the left over 2-inch piece of paper into 4 equal parts (each is 2/4 inch long).  

• So each person gets 5 2/4 inches of paper.  

Multiple Choice

At an amusement park, 16 people are waiting in line for a water ride. Each boat holds 5 people. How many boats will be completely filled?

16 ÷ 5 = 3 R 1

• Drop It

  
  

  (3 boats)

• Use It

  
  

  (1 boat)

• Share It

  
  

  (3 and 1/5 boats)

• Add One

  
  

  (4 boats)

Multiple Choice

33 trading cards are to be placed in plastic sheets. Each sheet can display 8 cards. How many pages are needed to protect all the cards?

33 ÷ 8 = 4 R 1

• Drop It

  
  

  (4 pages)

• Use It

  
  

  (1 page)

• Share It

  
  

  (4 and 1/8 pages)

• Add One

  
  

  (5 pages)

Multiple Choice

26 students are going on a field trip, and parents have offered to drive. If each of the cars holds 3 kids, how many kids will not have a ride?

26 ÷ 3 = 8 R 2

• Drop It

  
  

  (8)

• Use It

  
  

  (2)

• Share It

  
  

  (8 and 1/3)

• Add One

  
  

  (9)

Multiple Choice

Miss Eddy is giving out 13 apples to 4 of her students. She wants each student to get the same amount of apple. How much apples should each student get?

13 ÷ 4 = 3 R 1

• Drop It

  
  

  (3)

• Use It

  
  

  (1)

• Share It

  
  

  (3 and 1/4)

• Add One

  
  

  (4)