Standard #: MA.3.AR.2.3


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Determine the unknown whole number in a multiplication or division equation, relating three whole numbers, with the unknown in any position.


Clarifications


Clarification 1: Instruction extends the development of algebraic thinking skills where the symbolic representation of the unknown uses any symbol or a letter. 
Clarification 2: Problems include the unknown on either side of the equal sign. 
Clarification 3: Multiplication is limited to factors within 12 and related division facts. Refer to Situations Involving Operations with Numbers (Appendix A).

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 Access Points

Access Point Number Access Point Title
MA.3.AR.2.AP.3 Determine the unknown whole number in a multiplication or division equation, relating three whole numbers, with the product or quotient unknown (e.g., 2 × 5 = __, 10 ÷ 5 = __). Multiplication may not exceed two single-digit whole numbers and their related division facts.


Related Resources

Formative Assessments

Name Description
Multiplication and Division Equations

Students are given multiplication and division equations within 100 and asked to find the missing numbers. The missing numbers are presented in all positions.

Missing Numbers In Multiplication Equations

Students are given multiplication equations with products within 50 and are asked to find missing numbers. The missing numbers are presented in all positions.

Missing Numbers In Division Equations

Students are given division equations involving numbers within 50 and are asked to find missing numbers. The missing numbers are presented in all positions.

Find the Unknown Number

Students are given multiplication and division equations within 50 and are asked to find missing numbers. The missing numbers are presented in all positions.

Lesson Plans

Name Description
Cupid's Carnival Rides

In this lesson, students will look at different carnival rides and will determine which ride will make the most profit by looking at factors such as number of tickets per ride, the cost per ticket, the length of the ride, the number of hours the ride is open and the cost to operate the ride. Students will need to use different operations in order to solve the tasks and will be required to do multi-steps.

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.

Arrays Show the Way to the Multiplication Chart

This is an introductory lesson to explore the use of arrays to solve multiplication problems. Students build arrays and save the arrays in a class Multiplication Chart. They learn to use arrays to find products and factors, and by placing them in the Multiplication Chart, they learn how to read the chart. They learn how to write equations to represent situations that are modeled with arrays. An overall theme is the organization of the multiplication chart and how it includes arrays within.

Giddy Up, Round Up: Relating Division to Multiplication

In this lesson, students will learn to solve division problems by relating them to multiplication facts. Practice materials focus on the 6's and 8's multiplication facts.

Tasty Algebra: Using toasted O cereal to find the missing factor in a multiplication equation.

In this lesson students will use Cheerios to solve multiplication equations relating 3 whole numbers from word problems that include missing factors ranging from one through ten. Students will also argue the validity of multiplication equations that include missing factors and products with corresponding word problems.

Teaching Idea

Name Description
A Square of Numbers (problem to solve using addition, subtraction, multiplication, division)

A problem for students to solve using students' understanding of the operations of addition, subtraction, multiplication, and division. The problem presents an opportunity for students to appreciate the value of approaching a solution in a systematic way using what they know about the structure of operations.

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