This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Make sure you have plenty of snap cubes. * Build a rectangular prism that is 2 cubes high, 3 cubes wide, and 5 cubes long. * We will say that the volum...

This parent guide supports parents in helping their child at home with the 5th grade Math content.

This resource accompanies our Rethink 5th Grade Math course. It includes ideas for use, ways to support exceptional children, ways to extend learning, digital resources and tools, tips for supporting English Language Learners and students with visual and hearing impairments. There are also ideas for offline learning. 

A 5th-grade Task aligned to NC.5.MD.5 - Understand concepts of volume.
Level #1
• Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes and show that the volume is the same as would be found by multiplying the edge lengths.
Level #2
• Build an understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
Level #3
• Find the volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.

A 5th-grade Task aligned to NC.5.MD.5 - Understand concepts of volume.
Level #1
• Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes and show that the volume is the same as would be found by multiplying the edge lengths.
Level #2
• Build an understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.
Level #3
• Find the volume of solid figures with one-digit dimensions composed of two non-overlapping rectangular prisms.

This lesson is for Grades 4-5 math. At Home Learning Lessons are a partnership between the North Carolina Department of Public Instruction, PBS North Carolina, and the William and Ida Friday Institute for Educational Innovation. Each lesson contains a video instructional lesson, a PDF lesson plan with a transcript, and a PDF file of extension activities.  

This lesson is for Grades 4-5 math. At Home Learning Lessons are a partnership between the North Carolina Department of Public Instruction, PBS North Carolina, and the William and Ida Friday Institute for Educational Innovation. Each lesson contains a video instructional lesson, a PDF lesson plan with a transcript, and a PDF file of extension activities.  

Students apply their understanding of calculating volume of right rectangular prisms to find the volumes and various costs of building a neighborhood basketball court. This lesson was developed by NCDPI as part of the Academically and/or Intellectually Gifted Instructional Resources Project. This lesson plan has been vetted at the state level for standards alignment, AIG focus, and content accuracy.

This task requires students to compare the volumes of two boxes relative to each other. Students will then have to calculate the mass required to fill the second box. The purpose of this task is to explore the implications of what happens when the dimensions of a rectangular prism are scaled. Once students have explored this task, the class can make generalizations and conjectures about the effects of scaling on volume.

This task encourages students to develop some flexibility regarding how composite rectangular prisms can be decomposed to determine their volume. This task brings together students' knowledge of Operations and Algebraic Thinking and the measurement strand of the Measurement and Data domain. Students are required to analyze the thinking of another student, therefore they must work backwards to understand each approach.

This task applies the concept of volume to a real-world topic. As students move through the task, the depth of their conceptual knowledge of the topic will be revealed. Students will work forward and backward to determine the volume and dimensions of the aquariums featured in the task.

Students learn how engineers construct buildings to withstand damage from earthquakes by building their own structures with toothpicks and marshmallows. Students test how earthquake-proof their buildings are by testing them on an earthquake simulated in a pan of Jell-O(TM).

In this activity students practice measuring techniques by measuring different objects and distances around the classroom. They practice using different scales of measurement in metric units and estimation.

Purpose: Engages students and introduces elements needed for building a playground.

In “Playground Palooza”, students will take the role of a playground designer responding to a request for a new playground at the school. Students will learn about numerical patterns, reading and writing decimals, rounding decimals, adding, subtracting, multiplying, and dividing decimals, converting measurements, volume, measuring volume, relating volume, coordinate planes, and attributes of 2D figures. Students will determine the total area of the new playground, determine the total area for each structure you want included on your playground, determine the volume of sand needed for the sandbox, use at least three playground structures, create a table of equipment and materials including company name, cost, quantity, and totals, create a coordinate system to display the center point for each structures or area on the playground, and submit a blueprint of their playground design.

***NOTE
This PBL was created before NC adopted the NC standards for Math. Therefore this PBL also addresses: rounding decimals.

This grade 5 unit of measurement lessons explores volume through 6 hands-on activities and 5 worksheets.

This About the Cluster document was written by the authors of the NC2ML instructional Frameworks. This document provides information about the major mathematical ideas and strategies in Grade 5 Cluster 2. This is not remixable since it is written by the authors of the NC2ML Instructional Frameworks.