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

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.

Related Access Points

This cluster includes the following access points.

Access Points

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.

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

Dogs as Pets:

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

Type: Formative Assessment

Books and Yarn:

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

Type: Formative Assessment

Throwing Footballs:

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

Type: Formative Assessment

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.

Type: Formative Assessment

Lesson Plans

Its All Around But Covered Up:

Students explore missing dimension challenges in real world area situations.

Type: 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

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.

Type: Lesson Plan

Gummy vs. Gum (Number Pattern):

In this lesson from the Beacon Learning Center, students use gummy bears and sticks of gum to discover a number pattern and write an representation that describes it.   

This lesson can be adapted for several grade levels and instead of writing an equation, students can write a "rule" or expression based on the pattern or relationship between number of pieces of gum and gummy bears.  Consider scaffolding this activity to meet your grade-level needs.

Type: Lesson Plan

Original Student Tutorials

Space: Division as Comparison:

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

Type: 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

Space: Multiplication as Comparison:

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

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

Student Resources

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

Original Student Tutorials

Space: Division as Comparison:

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

Type: 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

Space: Multiplication as Comparison:

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

Type: Original Student Tutorial

Parent Resources

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