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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.2aUnderstand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts
- 7.NS.A.2bUnderstand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
- 7.NS.A.2cApply properties of operations as strategies to multiply and divide rational numbers.
- 7.NS.A.2dConvert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Fractions as Quotients - Using Long Division to Convert a Fraction to a Decimal

7th Grade Math

» Unit:

Rational Number Operations

Big Idea:Students use the long division algorithm to write fractions as decimals and use the remainder to distinguish between a terminating and repeating decimal.

Fractions to Decimals - Terminate or Repeat?

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:How do you turn a fraction into a decimal? This lesson will teach you to be a conversion king!

Solving Multi-Step Real World Problems Involving Percent of Increase (progression lesson six)

7th Grade Math

» Unit:

Proportional Reasoning with Percents

Big Idea:SWBAT use their prior knowledge from solving sales tax and calculate the percent of increase along with the sales tax.

Does McDonald's Serve Burgers? Long Division Algorithm Day 2

7th Grade Math

» Unit:

Rational Numbers

Big Idea:Big Idea: SWBAT solve long division equations using the long division algorithm that have more than 1 digit divisors, and dividends with conceptual understanding.

A Concrete Look at Long Division!

7th Grade Math

» Unit:

Rational Numbers

Big Idea:This lesson is multi-layered. It offers the students an opportunity to understand long division, then transitions into the written form using the algorithm once understanding is evident. Finally, the students will apply the algorithm to convert fractions t

Unit 2 Test

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Students are assessed on Unit 2.

Unit 6 Test

7th Grade Math

» Unit:

Percent Applications

Big Idea:students take a test on percent applications; data is analyzed to inform reteaching and remediation strategies

WP: Answer a question involving a fraction and a decimal

7th Grade Math

» Unit:

Expressions and Equations

Big Idea:Let's see the benefits from reading strategies that will help us navigate difficult text involving real world word problems that involve fractions and decimals.

Intervention day - Division Remediation

7th Grade Math

» Unit:

Exploring Rational Numbers

Big Idea:Students can predict whether the value should be more or less than one by deciding if the fraction is more or less than one.

Quiz + Unlike Denominators

7th Grade Math

» Unit:

Operations with Rational Numbers

Big Idea:Students complete a weekly quiz and combine positive and negative fractions with unlike denominators on a number line

Perfracimals 1

7th Grade Math

» Unit:

Exploring Rational Numbers

Big Idea:A percent just shows how many hundredths there are.

Divide decimals

8th Grade Math

» Unit:

FLUENCIES AND THE LANGUAGE OF ALGEBRA

Big Idea:Doggy decimals! Use the story of Spot the Doggy Decimal to get kids to divide decimals with precision.

Poster Patterns (day 4 of 5)

7th Grade Math

» Unit:

Exploring Rational Numbers

Big Idea:Dividing by certain numbers determines if, how, and when the decimal will end.

Dominant Traits in Division (day 5 of 5)

7th Grade Math

» Unit:

Exploring Rational Numbers

Big Idea:Students observe when and how division produces repeating and terminating decimals when dividing by 12.

Perfracimals 2

7th Grade Math

» Unit:

Exploring Rational Numbers

Big Idea:The place value chart helps students understand the connection between place value and percent.

7.NS.A.2a

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts

7.NS.A.2b

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.

7.NS.A.2c

Apply properties of operations as strategies to multiply and divide rational numbers.

7.NS.A.2d

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.