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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.

Black Friday Blowout (Summative Assessment)

7th Grade Math

» Unit:

Proportional Reasoning with Percents

Big Idea:Let the students have a blast experiencing a full BLACK FRIDAY excursion. Students will shop, and compare better buys using their understanding of calculating sales tax, and discount, to solve a performance task.

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!

Rational Numbers and Integer Practice

6th Grade Math

» Unit:

Integers and Rational Numbers

Big Idea:What is a rational number? Which is greater: -1.6 or -1.5? Students work to answer these questions while also practicing adding integers.

Adding Integers - What's the Rule?

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Can you add without integer chips or a number line? In this lesson students will brainstorm properties of integer addition problems.

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.

Unit Assessment Feedback Lesson

7th Grade Math

» Unit:

Proportional Relationships II

Big Idea:Students reflect on how they performed on the the unit assessment.

Expressions and Word Problems

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Students work in pairs to write and evaluate expressions from word problems.

Divide and Conquer

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Students take their weekly assessment and work independently to divide rational numbers

Rational Number Unit Test

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:See the fruits of your labor…time to test on rational numbers!

Adding and Subtracting Integers - Real World Applications

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:You can add. You can subtract. BUT can you identify which to do and carry out the right rules? This lesson give you practice with just that.

End of Grade Review - The Number System

7th Grade Math

» Unit:

Culminating Unit: End of Grade Review

Big Idea:Put away that calculator, and turn on your brain!

Rational Numbers Operations - Final Unit Assessment

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:It is time for students to show all that they know about rational numbers!

Adding and Subtracting Rational Numbers - Practice Makes Perfect!

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:I think I can…I think I can…don’t think…DO! This lesson will turn thinking into doing by giving students practice on their fluency with adding and subtracting rational numbers.

Sales Tax (Lesson 3 in lesson progression)

7th Grade Math

» Unit:

Proportional Reasoning with Percents

Big Idea:Students will enjoy becoming math translators. They will use this strategy to solve complex real world math problems involving sales tax.

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..

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.