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

How Will the Ninja Capture the Valuable Princess?:

This lesson allows students to solve two-step equations involving a mythological story line in which the princess (variable) is protected by a bodyguard (number added or subtracted in an equation) and by a protector (number multiplied or divided by the variable). The three characters live in a castle, surrounded by the moat (equal sign) and an innocent bystander that lives outside the castle (number on the opposite side of the variable). However, Ninjas are infiltrating the castle to steal the “valuable” princess. Using this story line, students must then decide who the Ninja must eliminate first to get to the princess. This lesson can also be used to solve equations with like terms on the same side and equations with the same variable on each side.

Type: Lesson Plan

It's All About Balance!:

Students will use a balance scale graphic organizer to solve for the unknown (variable) in addition and subtraction equations with one variable.

Type: Lesson Plan

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

Bake Sale:

Students will apply and develop strategies to write and solve equations for mathematical and real world situations. Students will be encouraged to use various strategies, including using inverse operations, to find a solution.

Type: Lesson Plan

Capture the Boat - Sink the Teacher's Fleet!:

In this lesson, students learn about the four quadrants of a coordinate plane and how to plot points in those quadrants. Students also learn how to use linear equations to predict future input and output pairs. Students work together to try to sink the teacher's fleet in a Battleship-type game while the teacher tries to sink theirs first.

Type: Lesson Plan

The Physics of Land Yachting:

In this lesson, students will explore motion related to an object in terms of its change in position over time compared to a reference point.

Students will be given a variety of simple materials to create and test their very own land yachts to explore motion.

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

Perspectives Video: Teaching Idea

Adding Integers:

Unlock an effective teaching strategy for using patterns to help students make generalizations when adding integers in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Problem-Solving Tasks

Busy Day:

Students are asked to write and solve an equation in one variable to answer a real world question.

Type: Problem-Solving Task

Firefighter Allocation:

In this task students are asked to write an equation to solve a real-world problem.

Type: Problem-Solving Task

Morning Walk:

Students are asked to write an equation with one variable in order to find the distance walked.

Type: Problem-Solving Task

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

Problem-Solving Tasks

Busy Day:

Students are asked to write and solve an equation in one variable to answer a real world question.

Type: Problem-Solving Task

Firefighter Allocation:

In this task students are asked to write an equation to solve a real-world problem.

Type: Problem-Solving Task

Morning Walk:

Students are asked to write an equation with one variable in order to find the distance walked.

Type: Problem-Solving Task

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.

Problem-Solving Tasks

Busy Day:

Students are asked to write and solve an equation in one variable to answer a real world question.

Type: Problem-Solving Task

Firefighter Allocation:

In this task students are asked to write an equation to solve a real-world problem.

Type: Problem-Solving Task

Morning Walk:

Students are asked to write an equation with one variable in order to find the distance walked.

Type: Problem-Solving Task