Standard 2: Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.

General Information
Number: MA.6.AR.2
Title: Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 6
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.6.AR.2.AP.1
Choose which values, from a set of five or fewer integers, make an equation or inequality true.
MA.6.AR.2.AP.2
Solve real-world, one-step linear equations using addition and subtraction involving integers.
MA.6.AR.2.AP.3
Solve real-world, one-step linear equations using multiplication and division involving integers.
MA.6.AR.2.AP.4
Solve a one-step equation using fractions with like denominators or decimals with place value ranging from the thousand to the thousandths.

Related Resources

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

Formative Assessments

Finding Solutions of Inequalities:

Students are given three inequalities and asked to determine if any numbers from a given set are solutions.

Type: Formative Assessment

Equally Driven:

Students are asked to solve a real-world problem by writing and solving an equation.

Type: Formative Assessment

Center Section:

Students are asked to solve a real-world problem by writing and solving an equation.

Type: Formative Assessment

Solar Solutions:

Students are asked to solve a real-world problem by writing and solving an equation.

Type: Formative Assessment

University Parking:

Students are asked to solve a real-world problem by writing and solving an equation.

Type: Formative Assessment

Solutions of Inequalities:

Students are asked to explain what it means for a number to be a solution of an inequality.

Type: Formative Assessment

Solutions of Equations:

Students are asked to explain what it means for a number to be a solution of an equation.

Type: Formative Assessment

Finding Solutions of Equations:

Students are given three equations and asked to determine if any numbers from a given set are solutions.

Type: Formative Assessment

Lesson Plans

Going The Distance:

This lesson provides a hands-on activity where students can apply solving one-step multiplication and division equations to a real-world problem. The lesson focuses on the relationship between distance, rate, and time. The students will also represent data on graphs and draw conclusions and make interpretations based on the graphs.

Type: Lesson Plan

Solving Addition and Subtraction Equations with Beans:

Students will use dried white and black beans to solve one-step addition and subtraction equations to realize the Addition Property of Equality and Subtraction Property of Equality through the use of inverse operations (zero pairs).

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

Dr. E. Quation Part 2: One Step Multiplication & Division Equations:

Learn how to solve 1-step multiplication and division equations with Dr. E. Quation in Part 2 of this series of interactive tutorials.  You'll also learn how to check your answers to make sure your answer is the solution to the equation. 

Click here to open Part 1

Type: Original Student Tutorial

Dr. E. Quation Part 1: One Step Addition & Subtraction Equations:

Learn how to solve and check one-step addition and subtraction equations with Dr. E. Quation as you complete this interactive tutorial.

Click here to open Dr. E. Quation Part 2: One-Step Multiplication and Division Equations

Type: Original Student Tutorial

Balancing the Machine:

Use models to solve balance problems on a space station in this interactive, math and science tutorial. 

Type: Original Student Tutorial

MacCoder’s Farm Part 3: If Statements:

Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

Perspectives Video: Expert

Improving Hurricane Scales:

Meteorologist, Michael Kozar, discusses the limitations to existing hurricane scales and how he is helping to develop an improved scale.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Tutorials

How to Solve Equations of the Form ax = b:

Here's an introduction to basic algebraic equations of the form ax = b in this tutorial.

Type: Tutorial

How to Solve One-Step Multiplication and Division Equations with Fractions and Decimals:

In this tutorial, we will solve equations in one step by multiplying or dividing a number on both sides.

Type: Tutorial

How to Test Solutions to Inequalities:

Learn how to test if a certain value of a variable makes an inequality true in this tutorial.

Type: Tutorial

How to Test Solutions to Equations Using Substitution:

Learn how to test if a certain value of a variable makes an equation true in this tutorial.

Type: Tutorial

How to Represent a Relationship with a Simple Equation:

This video demonstrates how to write and solve a one-step addition equation.

Type: Tutorial

Solving One-Step Equations Using Division:

To find the value of a variable, you have to get it on one side of the equation alone. To do that, you'll need to do something to BOTH sides of the equation. 

Type: Tutorial

Why to Divide on Both Sides of an Equation:

This video provides a conceptual explanation of why one needs to divide both sides of an equation to solve for a variable.

Type: Tutorial

Student Resources

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

Original Student Tutorials

Dr. E. Quation Part 2: One Step Multiplication & Division Equations:

Learn how to solve 1-step multiplication and division equations with Dr. E. Quation in Part 2 of this series of interactive tutorials.  You'll also learn how to check your answers to make sure your answer is the solution to the equation. 

Click here to open Part 1

Type: Original Student Tutorial

Dr. E. Quation Part 1: One Step Addition & Subtraction Equations:

Learn how to solve and check one-step addition and subtraction equations with Dr. E. Quation as you complete this interactive tutorial.

Click here to open Dr. E. Quation Part 2: One-Step Multiplication and Division Equations

Type: Original Student Tutorial

Balancing the Machine:

Use models to solve balance problems on a space station in this interactive, math and science tutorial. 

Type: Original Student Tutorial

MacCoder’s Farm Part 3: If Statements:

Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

Tutorials

How to Solve Equations of the Form ax = b:

Here's an introduction to basic algebraic equations of the form ax = b in this tutorial.

Type: Tutorial

How to Solve One-Step Multiplication and Division Equations with Fractions and Decimals:

In this tutorial, we will solve equations in one step by multiplying or dividing a number on both sides.

Type: Tutorial

How to Test Solutions to Inequalities:

Learn how to test if a certain value of a variable makes an inequality true in this tutorial.

Type: Tutorial

How to Test Solutions to Equations Using Substitution:

Learn how to test if a certain value of a variable makes an equation true in this tutorial.

Type: Tutorial

How to Represent a Relationship with a Simple Equation:

This video demonstrates how to write and solve a one-step addition equation.

Type: Tutorial

Solving One-Step Equations Using Division:

To find the value of a variable, you have to get it on one side of the equation alone. To do that, you'll need to do something to BOTH sides of the equation. 

Type: Tutorial

Why to Divide on Both Sides of an Equation:

This video provides a conceptual explanation of why one needs to divide both sides of an equation to solve for a variable.

Type: Tutorial

Parent Resources

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