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Apply and extend previous understandings of operations with fractions.

7.NS.1

  •  add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line.

  • describe when opposite quantities make zero 

  •  Understand additive inverses

  • Find the distance between two rational numbers

  • understand that p - q= p + (-q)

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

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

7.NS.2

  • Describe the how multiplying rational numbers (positive and negative fractions and decimals) are used in a real-world context

  • Understand that all integers can be divied by all numbers except zero

  • 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

Solve real-world and mathematical problems involving the four operations with rational numbers.

7.NS.3

  • Solve multi-step and real-life mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically

  • Convert between fractions and decimals as needed

  • assess the reasonableness of answers using mental computation and estimation strategies

  • Use variables to represent quantities in a real-world or mathematical problem

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