| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

7-N-2-5

Page history last edited by Tashe Harris 6 years, 1 month ago

7.N.2.5 Solve real-world and mathematical problems involving calculations with rational numbers and positive integer exponents.


In a Nutshell

Use adding, subtracting, multiplying, and dividing of integers, fractions and decimals as well as evaluating positive integer exponents to solve real-world problems.

Student Actions

Teacher Actions

  • Develop accurate and appropriate procedural fluency for solving  real-world problems using rational operations and positive integer exponents.
  • Develop a deep and flexible conceptual understanding of how equivalent representations of  rational numbers can help solve real world problems by utilizing the best representation to solve the problem.
  • Develop the ability to make conjectures, model and generalize real world problems by utilizing the mathematical representation to calculate the solution.
  • Implement tasks that promote reasoning and problem solving when applying rational operations to real-world problems.
  • Use and connect mathematical representations of real world problems involving calculations of rational numbers including positive integer exponents.
  • Build fluency from understanding by connecting the mathematical representation to real world problems.

 

Key Understandings

Misconceptions

  • Add, subtract, multiply and divide integers.

  • Add, subtract, multiply and divide fractions.

  • Add, subtract, multiply and divide decimals.

  • Evaluate positive integer exponents.

  • Follow order of operations.

  • Understand real-world applications in order to write and perform computations appropriately.
  • Connect mathematical vocabulary to real world applications. 
  • Students may believe that the correct way to evaluate exponents is to multiply the base by the exponent   (i.e. 3^2 = 3 x 2 = 6).
  • Students may think that exponents distribute   (i.e. (3 + 5)^2 = 3^2 + 5^2).

  • Methods used to input exponents in the calculator may result in differing answers depending on the calculator. 

OKMath Framework Introduction

7th Grade Introduction

 

 

Comments (0)

You don't have permission to comment on this page.