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Interpret the Remainder Interactive Notebook Page

Four rules for handling a division remainder - Drop It, Add It, Share It and Use It - are set out in a flipbook, with four matching descriptions and four word problems to cut apart and sort under the rule each one calls for once the flipbook is glued into a notebook.
Grades
Grades 4–6, Elementary, Middle School
File type
PDF
Preparation
Print ready

Updated Jun 19, 2023

Subject
Math, Multiplication and Division, Multiplication
Topic
Interpret the Remainder, Long Division Practice
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

If you are looking for an engaging way to increase long division practice, look no more. This is an Interpret the Remainder Interactive Notebook Page that will give students the practice they need at home or in the classroom.

What You Get:

A 2 page interactive notebook set with an answer key included.

How To Use the Interpret the Remainder Interactive Notebook:

This is a low prep and easy to use interactive notebook page. If your students use interactive notebooks in your math classroom, this notebook page is a great addition to it when you are in your long division unit. Even if your students do not use interactive notebooks, you can still print these pages and have students adhere them to a piece of notebook paper (or blank white paper). Use this flipbook to teach the rules of interpreting remainders in long division. After gluing in notebooks, sort the examples and descriptions to match their corresponding rules.

I hope you enjoy!

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Name the four ways a division remainder can be handled and state what each does to the quotient

  • Read a division word problem and decide whether the remainder is dropped, rounded up into, expressed as a fraction or decimal, or used as the answer itself

  • Justify a choice against the printed condition - for example choosing ADD IT when "everyone or everything in the problem must fit and you can't leave anything out"

  • Solve the four supplied problems, including 46 ÷ 7, 67 ÷ 9 and 43 ÷ 7, and give an answer that fits the real-world context rather than the bare quotient and remainder

Teaching tips

  • Glue the flipbook in before the sorting begins, as the directions page specifies; the loose descriptions and word problems are then matched to flaps that are already fixed in place

  • Teach the rules in pairs - DROP IT and ADD IT both discard the remainder and differ only in whether the leftover forces one more whole group, which is the distinction the bus problem is built to expose

  • Use the money problem ($50 split four ways) to introduce SHARE IT, since it is the one case where the remainder can legitimately be written as a decimal or a fraction

  • Keep the marching-band problem for last: it is the only one where the answer is the remainder itself, and students who have learned to ignore remainders often stumble on it

Skills covered

  • Interpreting a remainder in context - students choose between DROP IT, ADD IT, SHARE IT and USE IT rather than reporting a quotient and remainder mechanically.

  • Reading a word problem for the question it actually asks - each description names a signal, such as money, food or measurements that can easily be split, or how much is left over.

  • Dividing two-digit numbers by one-digit divisors - the four problems require 46 ÷ 7, 67 ÷ 9, 50 ÷ 4 and 43 ÷ 7 before any rule can be applied.

  • Matching a rule to its condition and its example - the sorting task pairs each of the four flipbook rules with one description and one word problem.

  • Expressing a remainder as a fraction or decimal - the SHARE IT rule requires the leftover to be written into the answer rather than discarded, which the $50 problem forces.

Good to know

Questions teachers ask about this resource

What separates DROP IT from ADD IT when both discard the remainder?

The condition printed beside each. DROP IT applies when the question asks for full or whole items, or when the item cannot easily be split in real life. ADD IT applies when everyone or everything in the problem must fit and nothing can be left out - which is why 67 students needing buses that hold 9 takes one extra bus rather than the bare quotient.

How do the cut pieces relate to each other once the flipbook is in the notebook?

Three sets have to be lined up: the four rules on the flipbook flaps, the four descriptions of when each rule applies, and the four word problems. Students sort the descriptions and the examples so each rule ends up with the condition that triggers it and a problem that demonstrates it.

What division does a student need to be able to do before starting?

Two-digit-by-one-digit division that leaves a remainder. The four problems work out to 46 ÷ 7, 67 ÷ 9, 50 ÷ 4 and 43 ÷ 7, and the directions page frames the whole flipbook as a set of rules for long division, so the algorithm itself is assumed rather than taught here.

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Resource details

Concepts & topics

Core concepts

  • Interpreting remainders

  • Long division

  • Division word problems

  • Interactive notebook

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