# Division with Remainders

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Our Division with Remainders lesson plan teaches students strategies for grouping strategies to divide whole numbers with remainders. Students practice solving problems in which they use the strategies taught in this lesson.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have your students practice grouping with a remainder with various manipulatives.

# What our Division with Remainders lesson plan includes

Lesson Objectives and Overview: Division with Remainders introduces how to use grouping strategies to divide whole numbers with remainders. With activities to provide experiential learning, students practice grouping objects and understand dividing whole numbers that don’t group evenly. At the end of the lesson, students will be able to divide whole numbers with remainders using grouping strategies. This lesson is for students in 2nd grade, 3rd grade, and 4th grade.

### Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.

#### Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have your students practice grouping with a remainder with various manipulatives. You can also speak with them about what they would do with the leftovers in real world situations. Another option is to use dice with larger numbers during the activity. Finally, you can have your students begin to think about the leftovers as fractions.

### Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

## DIVISION WITH REMAINDERS LESSON PLAN CONTENT PAGES

### Division with Remainders

The Division with Remainders lesson plan includes two content pages. Division is when you share something equally or break it into parts. When working with division, it’s important to understand the vocabulary terms. In a division number sentence, the dividend is the number to be divided and the divisor is the number which divides the other number. The quotient is the number that is the answer.

You can solve division problems using five main methods. First, you can use an array, or a representation of items (like dots) which you group together using circles. Second, you can draw a literal picture of the problem. Third, you can skip count, where you count by the divisor until you reach the dividend. Fourth, you can find the multiplication fact that would make the sentence true. Fifth, you can use repeated subtraction, where you subtract the divisor from the dividend until you reach zero.

No matter how you divide, you will sometimes end up with remainders. Remainders are what’s left over in a division problem. For example, if you want to give three friends an equal amount of seven candy bars, you can’t split them up evenly. You can give each friend two candy bars, but will have one left over. That one left over candy bar is your remainder. To put it algebraically, 3 goes into 7 two times with 1 left over.

The lesson closes with another example where a scientist has 11 beakers and 3 tables. She wants to divide the beakers equally amongst the tables. Is that possible or is there a remainder? If you try to put an equal number of beakers on each table, it doesn’t work. You can put three beakers on each table but will have two left over. These two beakers are the remainder. Algebraically, we would say that 3 goes into 11 three times with 2 left over.

## DIVISION WITH REMAINDERS LESSON PLAN WORKSHEETS

The Division with Remainders lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

### GAME OF LEFTOVERS ACTIVITY WORKSHEET

For the activity worksheet, students will play a Game of Leftovers with a partner. To play, the first player rolls a pair of dice. They will divide their total number of beads by the number they roll on the dice. If there are any leftovers, they keep those beads. Next, the other player will begin with all of the beads left after the first player divides. The second player will then divide those beads by the number they roll on the dice, keeping any leftover beads as well. Each pair will continue this pattern until they can no longer divide into the number of beads left. The player with the most leftovers wins!

### ROCKETS PRACTICE WORKSHEET

The practice worksheet asks students to count the total number of rockets shown on the page. They will then fill out a table that lists the number of rockets in each group on in the first column. They will figure out the number of groups and number left over for each.

### DIVISION WITH REMAINDERS HOMEWORK ASSIGNMENT

For the homework assignment, students will create a division word or picture problem with a remainder in the box on the worksheet. They will then show how to solve their word or picture problem in the second box.

### QUIZ

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, like the practice worksheet, students will count the total number of ducks shown on the page. They will then fill out a table that lists the number of ducks in each group on in the first column. They will figure out the number of groups and number left over for each.