Standard #: MAFS.3.OA.1.2 (Archived Standard)


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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.


Remarks


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
Grade: 3
Domain-Subdomain: Operations and Algebraic Thinking
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 Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    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)

Test Item # Question Difficulty Type
Sample Item 1 Select all the situations that can be represented by 35 ÷ 5.

 

N/A MS: Multiselect


Related Courses

Course Number1111 Course Title222
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessments

Name Description
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.

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.

Interpreting Division

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

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.

Lesson Plans

Name Description
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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Pet Store Partitive Division

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

Original Student Tutorial

Name Description
Be Fair When You Share

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

Student Center Activity

Name Description
Edcite: Mathematics Grade 3

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.

Teaching Ideas

Name Description
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.
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)

Student Resources

Original Student Tutorial

Name Description
Be Fair When You Share:

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

Student Center Activity

Name Description
Edcite: Mathematics Grade 3:

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.



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