Standard 2: Add, subtract, multiply and divide rational numbers.

General Information
Number: MA.7.NSO.2
Title: Add, subtract, multiply and divide rational numbers.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 7
Strand: Number Sense and Operations

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.7.NSO.2.AP.1
Solve mathematical problems, using no more than four operations, with rational numbers including grouping symbols, whole-number exponents and absolute value.
MA.7.NSO.2.AP.2
Using tools or models, add, subtract, multiply and divide rational numbers.
MA.7.NSO.2.AP.3
Using tools or models, solve real-world problems involving any of the four operations with rational numbers.

Related Resources

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

Educational Game

Fraction Quiz:

Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit.

Type: Educational Game

Educational Software / Tool

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Formative Assessments

Complex Fractions:

Students are asked to rewrite complex fractions as simple fractions in lowest terms.

Type: Formative Assessment

Positive and Negative Fractions:

Students are asked to add, subtract, multiply, and divide positive and negative fractions.

Type: Formative Assessment

Trail Mix Munchies:

Students are asked to solve a word problem involving division of fractions.

Type: Formative Assessment

A Rational Number Expression:

Students are given a numerical expression to evaluate.

Type: Formative Assessment

Monitoring Water Temperatures:

Students are asked to solve a word problem that involves finding the average of positive and negative decimal numbers.

Type: Formative Assessment

Using Estimation:

Students are asked to assess the reasonableness of answers using estimation strategies.

Type: Formative Assessment

Alexa’s Account:

Students are asked to assess the reasonableness of an answer using mental computation and estimation strategies.

Type: Formative Assessment

Rational Water Management:

Students are asked to combine rational numbers, including fractions and decimals, and use the properties of operations to simplify calculations.

Type: Formative Assessment

Understanding Products:

Students are asked to explain why the product of a positive and a negative rational number is negative.

Type: Formative Assessment

Negatives Explained:

Students are asked to describe a real-world context for a given expression involving the product of two rational numbers.

Type: Formative Assessment

Applying Rational Number Properties:

Students are asked to evaluate expressions involving multiplication of rational numbers and use the properties of operations to simplify calculations.

Type: Formative Assessment

Lesson Plans

Independent Compound Probability:

During this lesson, students will use Punnett Squares to determine the probability of an offspring's characteristics.

Type: Lesson Plan

Decisions, Decisions!:

In this Model Eliciting Activity, MEA, students will research a list of companies to invest in through purchasing stocks. Students will calculate the amount invested and readjust their investment choices.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Budget Committee:

In this MEA, students will take on the role as a member of the Sunshine County Budget Committee. Members will collaborate to determine the optimal sales tax rate, use that rate to calculate how much money can be used for special projects, then decide which special projects to include in the budget proposal. Students will use percentages to problem-solve in context while considering citizen input and constraints on spending.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Original Student Tutorials

Order of Operations with Rational Numbers Part 2: Decimals:

Evaluate numerical expressions with rational numbers expressed as decimals using the order of operations and properties of operations in this interactive tutorial.

Type: Original Student Tutorial

Order of Operations with Rational Numbers Part 1: Fractions:

Evaluate numerical expressions with rational numbers expressed as fractions using the order of operations and properties of operations in this interactive tutorial.

This is part 1 in a two-part series. 

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

KROS Pacific Ocean Kayak Journey: Overview:

Why did the math teacher KROS the ocean? Because it made for a wonderful way to engage students and do something unique.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set [.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth [.KML]

Type: Perspectives Video: Teaching Idea

Tutorials

Adding and Subtracting Numbers in Different Formats:

In this example, we will work with three numbers in different formats: a percent, a decimal, and a mixed number.

Type: Tutorial

Order of Operations Example (No Exponents):

In this video, you will work through an example to correctly use the order of operations.

Type: Tutorial

Video/Audio/Animation

Interpreting Negative Number Statements:

Explore negative numbers to represent real world situations in this tutorial.

Type: Video/Audio/Animation

Student Resources

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

Original Student Tutorials

Order of Operations with Rational Numbers Part 2: Decimals:

Evaluate numerical expressions with rational numbers expressed as decimals using the order of operations and properties of operations in this interactive tutorial.

Type: Original Student Tutorial

Order of Operations with Rational Numbers Part 1: Fractions:

Evaluate numerical expressions with rational numbers expressed as fractions using the order of operations and properties of operations in this interactive tutorial.

This is part 1 in a two-part series. 

Type: Original Student Tutorial

Educational Game

Fraction Quiz:

Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit.

Type: Educational Game

Educational Software / Tool

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Tutorials

Adding and Subtracting Numbers in Different Formats:

In this example, we will work with three numbers in different formats: a percent, a decimal, and a mixed number.

Type: Tutorial

Order of Operations Example (No Exponents):

In this video, you will work through an example to correctly use the order of operations.

Type: Tutorial

Parent Resources

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

Perspectives Video: Teaching Idea

KROS Pacific Ocean Kayak Journey: Overview:

Why did the math teacher KROS the ocean? Because it made for a wonderful way to engage students and do something unique.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set [.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth [.KML]

Type: Perspectives Video: Teaching Idea