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5th Grade Volume Standards Overview: Measurement Conversion, Data Interpretation, Geometric Concepts

This comprehensive overview covers converting measurement units, representing data, understanding geometric measurement concepts, and relating volume to multiplication and addition. It includes examples such as converting centimeters to meters, interpreting line plots, and calculating the volume of rectangular prisms using unit cubes. Students learn to recognize volume as an attribute of solid figures, solve real-world problems involving volume, and grasp the concept of volume as the amount of space occupied by an object or substance. Real-world connections, word problems, and resources for further learning are provided in this detailed guide.

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5th Grade Volume Standards Overview: Measurement Conversion, Data Interpretation, Geometric Concepts

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  1. Volume 5th Grade Trent and Hillary

  2. Standards- Overview • Convert like measurement unit within a given measurement system • Represent and interpret data • Geometric measurement; understand concepts of volume and relate volume to multiplication and to addition

  3. Converting measurements • Ex: Convert centimeters into meters • Ex: Convert milliliters to liters • Students should understand which units are largest and which are smallest • When related to volume: cubic units (Cubic liters)

  4. Represent and interpret data • Make line plots to represent fractions • Ex: Given different measurements of liquid in different, identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

  5. Concepts of volume • Recognize volume as an attribute of solid figures and understand concepts of volume and measurement • Ex: One side length= 1 unit cubed • Measure volume by counting units cubes using proper unit (Centimeter, Meter, etc..)

  6. Volume- addition and multiplication • Relate operations of addition and multiplication and solve real world and mathematical problems involving volume. • Find rectangular prisms (with whole number sides) by packing it with unit cubes • Volume= Length X Width; Volume= Base X Height (Rectangular prisms)

  7. What is volume? • Def.: The amount of space that a substance or object occupies, or that is enclosed within a container. • In other words: students should know that volume is how much stuff can fit into a something else. • Ex: How much Jello can fit in a bowl • Ex: How much water will fit in a swimming pool? • Ex: How much dirt will fit in a sandbox?

  8. Understanding a rectangle

  9. Video- finding volume • https://learnzillion.com/lessons/1799-count-unit-cubes-in-a-rectangular-prism

  10. Solve ! Use manipulates to check your work!

  11. Word problem/ Real world connection • A cereal box measures 10 inches tall, 3 inches wide, and 7 inches across. How much cereal will the box hold?

  12. Resources • Learnzillion.com- https://learnzillion.com/lessonsets/364- Unit cubes • Learnzillion.com- https://learnzillion.com/lessonsets/365- multiplication and addition • Common Core- http://commoncoresheets.com/Volumem.php • Illustrative Mathematics- https://www.illustrativemathematics.org/illustrations/1031 • Turn on Common Core- http://www.turnonccmath.net/ajax.php?key=length-area-volume&fmt=html#sec4 More in depth overview of volume standards

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