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- 7.NS.A.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- 7.NS.A.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- 7.NS.A.3Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

- 7.NS.A.1aDescribe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
- 7.NS.A.1bUnderstand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
- 7.NS.A.1cUnderstand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
- 7.NS.A.1dApply properties of operations as strategies to add and subtract rational numbers.

Subtracting Integers - How does subtraction relate to addition?

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Subtraction does not have to be any harder than addition – students will turn all subtraction problems into addition problems and use the rules they have already mastered!

Finding the Distance Between Signed Fractions on a Number Line

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:The distance between points on a number line is the absolute value of their difference. Number lines serve as a tool to aid this exploration.

Algorithms for Subtracting Integers

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:Students use the additive inverse to subtract integers and then develop some of their own algorithms.

How Addition and Subtraction are Related (Part 2 of 3)

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:Students will use counters to prove that a difference can be written as a sum.

How Addition and Subtraction are Related (Part 3 of 3)

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:Students use a number line to explore the relationship between addition and subtraction.

Finding the Distance Between Integers On a Number Line

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:Number line models allow students to easily find distances between points and relate the distance as the absolute value of their difference.

Adding Integers by Walking it Out

7th Grade Math

» Unit:

Integers

Big Idea:Develop students' number sense by physically modeling the process of adding and subtracting integers on a number line..

Subtracting Integers Using Zero Pairs

7th Grade Math

» Unit:

Integers

Big Idea:Zero pairs! These are a fun and rigorous way to help kids understand integers.

Adding and Subtracting Integers Test

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:See the fruits of your labor as students demonstrate what they know on an Adding and Subtracting Integers Test.

Subtracting Integers Practice - Can you subtract more than two integers?

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Subtraction isn’t so bad with just two numbers, but what if you have 3, or 4? In this lesson students will work on their subtraction skills with multiple integers.

Absolute Value, Taking a Deeper Look!

7th Grade Math

» Unit:

Integers

Big Idea:"The distance a number is away from zero on a number line." What does this really mean? Taking a deeper look into absolute value.

Error Analysis: Unit 1 Test

7th Grade Math

» Unit:

Integers

Big Idea:Students will receive a detailed score report and will learn the standards they should practice during this lesson.

Number Operations

7th Grade Math

» Unit:

Test Prep

Big Idea:Students practice multiple fluency and problem solving items and review number operations relevant to 7th grade math to kick off the test prep unit

A look into Adding Integers with the Help of Zero Pairs!

7th Grade Math

» Unit:

Integers

Big Idea:Student will use colored counters to model addition of integers.

Subtracting Integers by "Walking It Out!'

7th Grade Math

» Unit:

Integers

Big Idea:Students will use a kinesthetic approach to learning how to model subtraction of integers using a horizontal number line.

7.NS.A.1a

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

7.NS.A.1b

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

7.NS.A.1c

Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

7.NS.A.1d

Apply properties of operations as strategies to add and subtract rational numbers.