# MAFS.3.OA.1.2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.

### Clarifications

Examples of Opportunities for In-Depth Focus

Word problems involving equal groups, arrays, and measurement quantities can be used to build students’ understanding of and skill with multiplication and division, as well as to allow students to demonstrate their understanding of and skill with these operations.

General Information
Subject Area: Mathematics
Domain-Subdomain: Operations and Algebraic Thinking
Cluster: Level 1: Recall
Cluster: Represent and solve problems involving multiplication and division. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

• Assessment Limits :
Whole number quotients and divisors may not exceed 10. Items may not require students to write an equation to represent a quotient of whole numbers.
• Calculator :

No

• Context :

Allowable

Sample Test Items (1)

## Related Courses

This benchmark is part of these courses.
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022 (current), 2022 and beyond)
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.3.OA.1.AP.2a: Determine the number of sets of whole numbers, five or less, that equal a dividend.
MAFS.3.OA.1.AP.2b: Use objects to model division situations involving up to five groups, with up to five objects in each group, and interpret the results.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Assessments

Sample 4 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

Sample 3 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

## Formative Assessments

Writing a Problem With a Quotient:

Students are asked to solve a division equation and then interpret the quotient by writing a word problem that can be modeled by the equation.

Type: Formative Assessment

Using A Number Line to Solve a Division Problem:

Students are asked to explain how to use a number line for dividing, in the context of a word problem.

Type: Formative Assessment

Interpreting Division:

Students are asked to illustrate a division problem and write a corresponding equation.

Type: Formative Assessment

What Does the Six Mean?:

Students are given division word problem and asked to determine how it might have been solved and what the quotient means.

Type: Formative Assessment

## Lesson Plans

Florida Fish Aquarium Challenge:

This task involves having students look at three different fish tank sizes and determine, using a data list, which fish will fit in these fish tanks based on their size. They will also need to look at other characteristics to determine how to group the fish together. Students will have to either multiply, divide or add repeatedly in order to find different solutions on how to place the fish in each tank size.

Type: Lesson Plan

Group Singing Lessons:

Third grade students will decide which performing arts facility their parents should choose for them to take group singing lessons at. They will apply multiplication, division, and time skills for telling time to the nearest minute and time intervals. Students will work collaboratively as a group to analyze this Model Eliciting Activity (MEA), and engage in collaborative discussion that involves higher level critical thinking. They will write argumentation letters on which performing arts facility is the best choice.

Type: Lesson Plan

Pet Store Partitive Division:

In this lesson students will model partitive division through the real-world activity of a pet store owner.

Type: Lesson Plan

## Lesson Study Resource Kit

Operations and Algebraic Thinking Lesson Study Resource Kit – Third Grade:

This lesson study resource kit can be used to guide and support teams of third grade teachers as they engage in lesson study focused on the academic standards in the Operations and Algebraic Thinking domain.

Type: Lesson Study Resource Kit

## Original Student Tutorial

Be Fair When You Share:

Allie learns to be fair when she shares and she learns more about division in this interactive tutorial.

Type: Original Student Tutorial

## Student Center Activity

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

## Teaching Ideas

Shamu Math-SeaWorld Classroom Activity:

In this activity, the students demonstrate that numbers can be used to describe various quantities and relationships between quantities. Students gain experience adding, subtracting, multiplying, and dividing - building their understanding of how numbers are put together and taken apart. Students connect what they know to symbolic representation using number sentences.

Type: Teaching Idea

Everybody Wins! A Lesson for Third Graders (Division):

The lesson in narrative form gives students experience with the partitioning (sharing) model of division. "The context for the lesson is Sheila Bruce's book Everybody Wins! , Kane Press, 2001, in which Oscar, Emmy, Hugo, and Tony calculate how to share pizzas, baseball tickets, bubble gum, and more.

This narrative is from the introductory lesson in Maryann Wickett, Susan Ohanian, and Marilyn Burns's book, Teaching Arithmetic: Lessons for Introducing Division, Grades 3–4 (Math Solutions Publications,2002). This book is a revision of Math By All Means, Unit Division, Grades 3–4." (from Math Solutions Professional Development)

Type: Teaching Idea

## STEM Lessons - Model Eliciting Activity

Florida Fish Aquarium Challenge:

This task involves having students look at three different fish tank sizes and determine, using a data list, which fish will fit in these fish tanks based on their size. They will also need to look at other characteristics to determine how to group the fish together. Students will have to either multiply, divide or add repeatedly in order to find different solutions on how to place the fish in each tank size.

Group Singing Lessons:

Third grade students will decide which performing arts facility their parents should choose for them to take group singing lessons at. They will apply multiplication, division, and time skills for telling time to the nearest minute and time intervals. Students will work collaboratively as a group to analyze this Model Eliciting Activity (MEA), and engage in collaborative discussion that involves higher level critical thinking. They will write argumentation letters on which performing arts facility is the best choice.

## MFAS Formative Assessments

Interpreting Division:

Students are asked to illustrate a division problem and write a corresponding equation.

Using A Number Line to Solve a Division Problem:

Students are asked to explain how to use a number line for dividing, in the context of a word problem.

What Does the Six Mean?:

Students are given division word problem and asked to determine how it might have been solved and what the quotient means.

Writing a Problem With a Quotient:

Students are asked to solve a division equation and then interpret the quotient by writing a word problem that can be modeled by the equation.

## Original Student Tutorials Mathematics - Grades K-5

Be Fair When You Share:

Allie learns to be fair when she shares and she learns more about division in this interactive tutorial.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorial

Be Fair When You Share:

Allie learns to be fair when she shares and she learns more about division in this interactive tutorial.

Type: Original Student Tutorial