Imperfect Long Division Equations
Rooted in Neurodevelopment-
See the Guided Lesson Plan
High quality materials
Eco-Happy
Fun & Engaging Activities
Ages/Stages
Common Core
Scratch & Dent Discount: These materials did not pass our strict quality control process, so you get them at a lower price. The error may be a small spot or hair under the laminate on one or more cards, color slightly different from our standard, an image printed slightly askew, or slightly curved laminate. Many teachers can't find the error, but we can! Each packet is complete. See all of our scratch and dent materials.
Our Montessori Long Division Equations give students 20 prepared equations to solve with the stamp game or bank game. Every dividend has four digits, every divisor has two or three digits, and no equation leaves a remainder.
Long division equations are hard to make up on the spot, because most combinations leave a remainder. These are ready to go, so you can stay with your student instead of working out the numbers. Use them once students have some experience with short division.
What's included
- 20 equation cards: 10 static and 10 dynamic
- A small white star on each dynamic equation for easy reference
- Color-coded numerals, with a blue border for division
- No solutions included on the cards
- Cards are approx. 10⅓" x 1¼"
- Eco-laminated with a food-grade laminate and rounded corners
The equation master and lesson plan are not included in this packet. You can download both for free: printable equation master and lesson plan. Base ten materials, such as the stamp game or bank game, are not included.
Add a blue long division cloth pouch for color-coded, student-accessible classroom display.
These cards are also part of our Math Equation Set, which includes an equation master and lesson plan.
Created by a Montessori teacher. Eco-printed in our rural New England office.
Made in the USA. CPSIA compliant.
Why use prepared long division equations?
A student first learning long division has plenty to think about. A surprise remainder adds a complication that can get in the way of the main idea: sharing a number out fairly. Because these equations all come out evenly, students can focus on the process. Having equations ready also means students can choose this work and get started on their own.
How do you use long division equation cards?
Students build each equation with base ten materials, such as the stamp game or bank game. The cards don't show solutions, so students find each answer with their materials:
- Lay out the dividend, the first number in the equation.
- Get one tray for each part of the divisor: one for each hundred, one for each ten, and one for each unit.
- Share the dividend out fairly. Trays of the same kind get the same amount, and each hundreds tray gets 100 times as much as a units tray.
- Find the quotient.
What is the difference between static and dynamic equations?
Static equations can be solved without any exchanging. Dynamic equations require students to exchange, such as trading a ten for ten units. Start with the static equations, then move on to the dynamic equations, which are marked with a small white star.
What ages is this for?
Typically ages 5 to 9, once a student has some experience with short division.
Choose options
Knowledge Bank
Recommended Articles
Download a PDF of our materials
Follow Us
