MA.4.AR.2.1

Determine and explain whether an equation involving any of the four operations with whole numbers is true or false.

Examples

The equation 32÷8=32-8-8-8-8 can be determined to be false because the expression on the left side of the equal sign is not equivalent to the expression on the right side of the equal sign.

Clarifications

Clarification 1: Multiplication is limited to whole number factors within 12 and related division facts.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 4
Strand: Algebraic Reasoning
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (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

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.4.AR.2.AP.1: Determine whether an equation (with no more than three terms) involving any of the four operations with whole numbers is true or false. Sums may not exceed 100 and their related subtraction facts. Multiplication may not exceed two-digit by one-digit and division must be related to one-digit by one-digit multiplication facts
MA.4.AR.2.AP.2: Given a real-world context, identify or generate an equation involving multiplication or division to determine the unknown product or quotient. Multiplication may not exceed two-digit by one-digit and division must be related to one-digit by one-digit multiplication facts

Related Resources

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

Formative Assessments

True and False Multiplication Equations:

Students are asked to determine if each of two equations is true without performing any operations.

Type: Formative Assessment

True and False Division Equations:

Students are asked to determine if each of two equations is true by comparing mathematical expressions and without actually carrying out the indicated calculations.

Type: Formative Assessment

Determining If an Equation Is True:

Students are asked to determine if each of two equations involving subtraction is true by comparing mathematical expressions and without actually carrying out the calculations.

Type: Formative Assessment

Are the Equations True?:

Students are asked to determine if each of two equations is true without performing any operations.

Type: Formative Assessment

Lesson Plan

Is the Equation True and Finding the Missing Number:

Students will determine if an equation is true or false based on using comparative relational thinking and knowledge of operations. The students will also determine the unknown number in some equations involving addition. 

Type: Lesson Plan

Original Student Tutorial

Think Different: Relationships in Math:

Learn how to think differently to see if an equation is true or false, without even having to do the given math problem in this interactive tutorial on addition and subtraction relationships.

Type: Original Student Tutorial

Teaching Idea

True, False, and Open Sentences:

"Students first explore arithmetic sentences to decide whether they are true or false. The lesson then introduces students to sentences that are neither true nor false but are algebraic equations, also called open sentences, such as x + 3 = 7 or 2 x = 12." from Math Solutions.

Type: Teaching Idea

MFAS Formative Assessments

Are the Equations True?:

Students are asked to determine if each of two equations is true without performing any operations.

Determining If an Equation Is True:

Students are asked to determine if each of two equations involving subtraction is true by comparing mathematical expressions and without actually carrying out the calculations.

True and False Division Equations:

Students are asked to determine if each of two equations is true by comparing mathematical expressions and without actually carrying out the indicated calculations.

True and False Multiplication Equations:

Students are asked to determine if each of two equations is true without performing any operations.

Original Student Tutorials Mathematics - Grades K-5

Think Different: Relationships in Math:

Learn how to think differently to see if an equation is true or false, without even having to do the given math problem in this interactive tutorial on addition and subtraction relationships.

Student Resources

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

Original Student Tutorial

Think Different: Relationships in Math:

Learn how to think differently to see if an equation is true or false, without even having to do the given math problem in this interactive tutorial on addition and subtraction relationships.

Type: Original Student Tutorial

Parent Resources

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