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7-N-2-3

Page history last edited by Brenda Butz 6 years, 2 months ago

7.N.2.3 Solve real-world and mathematical problems involving addition, subtraction, multiplication and division of rational numbers; use efficient and generalizable procedures including but not limited to standard algorithm.


In a Nutshell

Real world situations can be represented mathematically using rational numbers. Rational numbers can be integers, fractions or decimal forms. Use rational numbers to add, subtract, multiply, and divide real world and mathematical problems. Emphasis should be placed on problem solving and selecting the most efficient method. 

Student Actions

Teacher Actions

  • Develop mathematical reasoning of how rational numbers apply to real world situations.
  • Develop strategies for solving real world integer problems and assess the reasonableness of their answers.
  • Develop the ability to model and generalize mathematical and real world problems containing rational numbers. 

 

  • Build procedural fluency from conceptual understanding by providing students with the opportunity to discover the rules of rational number operations collectively and individually.

  • Implement tasks that promote and allow students to interact and problem solve with rational numbers in a real world situation.

  • Use and connect mathematical representations of integers to model real world situations.

  • Pose purposeful questions and create situations students could utilize mathematical representations of rational numbers to solve real world problems.

  • Elicit and use evidence of student thinking to generate mathematical representations of rational numbers in real world situation.

Key Understandings

Misconceptions

  • Perform basic operations (add, subtract, multiply and divide) with rational numbers.

  • Select and manipulate the numbers into the correct format to properly perform the correct operations and persevere solving them.

  • Assess the reasonableness of answers found from a basic four function calculator when performing rational number computations.

  • Identify and utilize inverse operations.

  • Identify the correct procedure based upon the context of the problem.

 

 

  • Students may think that adding two negatives equals a positive (confusion of procedures with multiplication).

  • Students may have a hard time conceptualizing negative numbers unless real-world applications are used, such as temperatures, money, elevation, etc

  • Students often think that when they subtract opposites the answer will also be 0 ex.-2 - 2 = 0 because when they add opposites they get 0.

  • Students may think that a negative times a negative will yield a negative answer.

  • When working with a real-world problem and students know that subtraction could be done to find the answer, they sometimes don't make the connection that the answer could also be found by a number problem that is adding an opposite value.
  • Students using a basic four function calculator to solve multi operational problems may not remember that the calculator does not solve using the order of operations. 

 


OKMath Framework Introduction

7th Grade Introduction

 

 

 

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