MAFS.3.OA.2.6

Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
General Information
Subject Area: Mathematics
Grade: 3
Domain-Subdomain: Operations and Algebraic Thinking
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand properties of multiplication and the relationship between 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
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    All values in items may not exceed whole number multiplication facts of 10 x 10 or the related division facts.
  • Calculator :

    No

  • Context :

    No context

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.2.AP.6a: Model division as the inverse of multiplication for quantities less than 10.

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

Using Multiplication to Solve Division Problems:

Students are asked to solve a division problem using a calculator but without using the division key.

Type: Formative Assessment

Changing Division Equations into Multiplication Equations:

Students consider a division fact that they are likely to know and are asked to turn it into a multiplication fact. If successful, they are asked to rewrite a basic division fact that they are not likely to know and which has a symbol for the unknown number.

Type: Formative Assessment

Multiplication as the Inverse of Division:

Students are given a word problem and asked to write an equation for the problem. Then the students are to select a multiplication equation that can also be used to solve the problem.

Type: Formative Assessment

Alien Math:

Students are told of a visiting alien from a planet where division is not taught, and asked to rewrite four division problems as multiplication problems so the alien can do them. The students are also asked to explain why it might be easier to do the multiplication problems than the given division problem.

Type: Formative Assessment

Lesson Plans

Grandma Wants to Know!:

Help Mom and Dad tell Grandma about Cindy's trip to the carnival using bar models and arrays to relate division to multiplication with an unknown factor.

Type: Lesson Plan

Spin Beyblades:

Students will get to evaluate data and create a process for which bey blade would be the "best" for Mr. Brown's toy store. Data will include customer feedback, price, style and revolutions per minute. Students will apply understanding of division in problem-solving. They will write a letter explaining their procedure using grade-appropriate language conventions.

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.

Type: Lesson Plan

Three is NOT a Crowd!:

This lesson will provide students with practical application activities to help them understand how division is simply solving a problem with an unknown factor. This activity includes opportunities for students to use fact families when identifying unknown factors and a tic-tac-toe game to provide whole group practice as well as to be used at a center, or for independent reinforcement of the skills.

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

Fly Me to the Moon: Multiplication & Division:

Explore how multiplication can help you solve division problems during this moon-themed, interactive tutorial.

Type: Original Student Tutorial

Student Center Activity

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.

Type: Student Center Activity

Tutorial

Unknowns with Multiplication and Division Equations:

Find the number to replace the symbol for the unknown in multiplication and division equations.

Type: Tutorial

Unit/Lesson Sequence

Computation Through Literature :

This collection of 10 lessons uses children's literature to engage students in addition, subtraction, multiplication, and division. The lesson arrangement is flexible and adaptable for any scope and sequence.

Type: Unit/Lesson Sequence

Virtual Manipulative

Arithmetic:

The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Spin Beyblades:

Students will get to evaluate data and create a process for which bey blade would be the "best" for Mr. Brown's toy store. Data will include customer feedback, price, style and revolutions per minute. Students will apply understanding of division in problem-solving. They will write a letter explaining their procedure using grade-appropriate language conventions.

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.

MFAS Formative Assessments

Alien Math:

Students are told of a visiting alien from a planet where division is not taught, and asked to rewrite four division problems as multiplication problems so the alien can do them. The students are also asked to explain why it might be easier to do the multiplication problems than the given division problem.

Changing Division Equations into Multiplication Equations:

Students consider a division fact that they are likely to know and are asked to turn it into a multiplication fact. If successful, they are asked to rewrite a basic division fact that they are not likely to know and which has a symbol for the unknown number.

Multiplication as the Inverse of Division:

Students are given a word problem and asked to write an equation for the problem. Then the students are to select a multiplication equation that can also be used to solve the problem.

Using Multiplication to Solve Division Problems:

Students are asked to solve a division problem using a calculator but without using the division key.

Original Student Tutorials Mathematics - Grades K-5

Fly Me to the Moon: Multiplication & Division:

Explore how multiplication can help you solve division problems during this moon-themed, interactive tutorial.

Student Resources

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

Original Student Tutorial

Fly Me to the Moon: Multiplication & Division:

Explore how multiplication can help you solve division problems during this moon-themed, interactive tutorial.

Type: Original Student Tutorial

Student Center Activity

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.

Type: Student Center Activity

Tutorial

Unknowns with Multiplication and Division Equations:

Find the number to replace the symbol for the unknown in multiplication and division equations.

Type: Tutorial

Virtual Manipulative

Arithmetic:

The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.

Type: Virtual Manipulative

Parent Resources

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