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5-GM-2-1

Page history last edited by Brenda Butz 6 years, 1 month ago

5.GM.2.1 Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (axbxc = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if axbxc = pxqxr = n. 


In a Nutshell

In objective 5.GM.2.1, students will be able to find volume for rectangular prisms by counting cubes and by using the algorithm in finding the volume of l x w x h = n.  In fourth grade they are introduced to volume by counting cubes and in fifth grade we will make the connection between counting cubes and using the formula for volume.  

Student Actions

Teacher Actions

  • Develop Strategies for Problem Solving by discovering that they can find the volume of rectangular prisms by counting the number of layers of cubes and the number of cubes in each layer and using multiplication to find the total number of cubes.

  • Develop Strategies for Problem Solving in connecting hands on unit counting to the most efficient algorithm for finding volume of a rectangular prism.

  • Develop the Ability to Communicate Mathematically by discussing multiple strategies to solve problems related to volume for rectangular prisms.

  • Develop the Ability to Communicate Mathematically by demonstrating and explaining the relationship between volume and multiplication.
  • Implement tasks that promote reasoning and problem solving to discover the volume of a rectangular prism, allowing several different strategies and varied solutions.

  • Use and connect mathematical representations to relate the hands-on experiences for finding volume to using the volume algorithm.

  • Elicit and use evidence of student thinking to determine depth of understanding and to check for any misconceptions.

Key Understandings

Misconceptions

  • Find volume by counting unit cubes.

  • Find volume by the product of the dimensions of the prism, Length X Width X Height

  • Understand that rectangular prisms with different dimensions can have the same volume.

 

  • Think units of measurement for perimeter, area, and volume are interchangeable.

  • Think volume can be found by determining the area of a single face on a prism and multiply that by the total number of faces.

  • Not understand the concept of volume and think volume is a result of plugging numbers into a formula.

 

OKMath Framework Introduction

5th Grade Introduction

 

 

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