Strand: MEASUREMENT AND DATA (5.MD)

Convert like measurement units within a given measurement system (Standard 5.MD.1). Represent and interpret data (Standard 5.MD.2). Understand concepts of geometric measurement and volume, as well as how multiplication and addition relate to volume (Standard 5.MD.3).
• An Introduction To Volume
This lesson plan is designed so that students will count volume in cubic units, estimate volume, and use multiplication to find volume.
• Box of Clay
This task provides an opportunity to compare the relative volumes of boxes in order to calculate the mass of clay required to fill them.
• Breaking Apart Composite Solids
The purpose of this task is to help students see different ways of breaking a solid into right rectangular prisms and to relate volume to the operations of multiplication and division.
• Calculating Volume: Tunnel Construction
Engineers used volume calculations in the planning for a tunnel in Boston's Big Dig project. Students will see the process they used in this video. Students will then measure the volume of irregular objects in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Cari's Aquarium
This task asks students to use the volume formula and conceptual understanding to solve real-world problems.
• Converting Fractions of a Unit into a Smaller Unit
In this task each of these problems students are given a set of a specified size and a specified number of subsets into which it is to be divided. The questions ask the student to find out the size of each of the subsets.
• Geometry and Classification of 2D Figures: Bianca Busts a Move
After breaking a friend's table while dancing on it, Bianca must use her knowledge of measurement and geometry to get a piece of wood to fix it. In the classroom activity students create tabletop designs in order to use their knowledge of perimeter and area. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Grade 5 Mathematics Module 5: Addition and Multiplication with Volume and Area (EngageNY)
In this 25-day module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4's work with two-dimensional figures and Grade 6's work with volume and area.
• Histograms and Bar Graphs
This lesson will introduce students to histograms and bar graphs and help them understand the difference between them.
• How Many Peas Fill the Classroom?
This Teaching Channel video has students estimate and measure peas and room size to learn about volume. (6 minutes)
• IXL Game: Measurement: Convert customary units involving fractions
This game will help fifth graders understand how to convert customary units involving fractions. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Living Wages in CA: Ratio and Rate in the Real World
The use of infographics helps us understand the costs of basic living expenses. The classroom activity has students look at real-life examples and data to calculate whether the minimum wage in their state can be a living wage. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Metric System Basics
This activity for 5th graders begins with an interactive that asks them to choose the best metric unit with which to measure various objects. In the classroom activity they make up riddles about metric measurement. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Minutes and Days
This task requires division of multi-digit numbers in the context of changing units and presents this question "What time was it 2011 minutes after the beginning of January 1, 2011?"
• Mystery Jars
In this activity the students estimate or guess the number of objects in jars and explain their reasoning to help them understand volume.
• Representing Volume and Surface Area of Right Rectangular Prisms with Unit Cubes
This video is a demonstration of calculating the volume of a right rectangular prism. It also explains the "true meaning" of volume with unit cubes. Students are then asked to create various structures with the same volume but differing surface areas. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Standard Measures and Conversions within a System: Solve the Measurement Problem!
In this video a group of friends must follow a recipe to cure a friend. They must not only find standard measures to use but also make the dosage stronger. Students then use measuring tools to create a classroom conversion chart. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Standard Measures and Conversions: Liquid Volume, Milliliters and Liters
These videos help students learn about measuring liquid volume and the units, milliliters and liters, used in the calculation. Students then demonstrate this understanding by creating a classroom conversion chart. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Surface Area and Volume
An online activity is the focus of this lesson plan to help students understand the concepts of surface area and volume.
• USBE Core Guide (5MD1)
This core guide was developed by USBE and Utah educators.
• USBE Core Guide (5MD2)
This core guide was developed by USBE and Utah educators.
• USBE Core Guide (5MD3)
This core guide was developed by USBE and Utah educators.
• USBE Core Guide (5MD4)
This core guide was developed by USBE and Utah educators.
• USBE Core Guide (5MD5)
This core guide was developed by USBE and Utah educators.
• Understanding Concepts of Volume and Measurement: Bianca's Babysitting Blues
Bianca the babysitter has a dilemma, she has two differently shaped bottles to feed the twins. How can she determine the volume of them so that she can give the babies equal amounts of formula? NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Using Volume to Understand the Associative Property of Multiplication
The purpose of this task is for students to use the volume of a rectangular prism to understand the associative property of multiplication.
• Volume of Right Rectangular Prisms
This video demonstrates for students how unit cubes can be used to model the formula for calculating the volume of right rectangular prisms. The students then build prisms from unit cubes in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Volume of Shapes Composed of Right Rectangular Prisms
This video shows students how to find the volume of right rectangular prisms by using unit cubes. They then apply this understanding to classroom activities. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• You Can Multiply Three Numbers in Any Order
The purpose of this task is for students to use the volume of a rectangular prism to see why you can multiply three numbers in any order you want and still get the same result.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Shannon Ference and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - DIANA SUDDRETH .
Email:  diana.suddreth@schools.utah.gov

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