Standard 2 : Demonstrate an understanding of equality and operations with whole numbers.



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General Information

Number: MA.4.AR.2
Title: Demonstrate an understanding of equality and operations with whole numbers.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 4
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.4.AR.2.1: Determine and explain whether an equation involving any of the four operations with whole numbers is true or false.
Clarifications:
Clarification 1: Multiplication is limited to whole number factors within 12 and related division facts.
MA.4.AR.2.2: Given a mathematical or real-world context, write an equation involving multiplication or division to determine the unknown whole number 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 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.



Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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 topic.

Original Student Tutorials

Name Description
Space: Division as Comparison:

Discover how multiplicative comparison problems, from outer space, can be solved using division in this online tutorial.

Space: Multiplication as Comparison:

Launch into solving word problems that use multiplicative comparisons, drawings, and symbols in this space-themed interactive 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.

Formative Assessments

Name Description
True and False Multiplication Equations:

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

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.

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.

Are the Equations True?:

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

Dogs as Pets:

Students are asked to write equations to represent two multiplicative comparison problems and to then solve the problems.

Books and Yarn:

Students are asked to write equations to represent two multiplicative comparison problems and to then solve the problems.

Throwing Footballs:

Students are asked to write equations to represent two multiplicative comparison problems and to then solve the problems.

Juice Boxes:

Students are given a two-step word problem and are asked to solve the problem and write an equation with a letter representing the unknown in the equation.

Lesson Plans

Name Description
Its All Around But Covered Up:

Students explore missing dimension challenges in real world area situations.

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. 

Is my equation TRUE or FALSE?:

In this lesson, students will determine if equations are true or false and justify their reasoning. The lesson focuses on the meaning operations and properties.

One Step at a Time: Word Problems:

In this lesson, students will use the four operations to solve multi-step word problems composed of whole numbers. Students will be asked to estimate, write equations, decide if their answers are reasonable, and explain their decision. Several problems include explaining the meaning of the remainder in a division problem.

Teaching Idea

Name Description
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.



Student Resources

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

Original Student Tutorials

Title Description
Space: Division as Comparison:

Discover how multiplicative comparison problems, from outer space, can be solved using division in this online tutorial.

Space: Multiplication as Comparison:

Launch into solving word problems that use multiplicative comparisons, drawings, and symbols in this space-themed interactive 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.