## TOPIC 12: Volumes of Solids

Models and VolumeLesson 1: VolumeLesson 2: Combining VolumesLesson 3: Problem Solving- Use objects and reasoningLesson 4: |
Vocabulary : the number of cubic units needed to fill a solid figurevolume the volume of a cube. 1 unit on each edge. cubic units: |

**Models and Volume**

__Lesson 1:__**Main Idea**: Students determine the volume of rectangular solids. They learn that volume is a measure of space inside a solid figure. They also learn that volume can be measured by counting the number of cubic units needed to fill a three-dimensional object.

**Standard(s):**5.MD.C.3a A cube with side length 1 unit, called a U1unit cube,Ue is said to have U1one cubic unitUe of volume, and can be used to measure volume.

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Volume Game

__Lesson 2:__**Main Idea**: Students count cubic units and use formulas to find the volumes of rectangular prisms. They learn that volume is a measure of space inside a solid figure and that volume can be measured by counting the number of cubic units needed to fill a three-dimensional object.

**Standard(s):**Find the volume of a right 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, equivalently by multiplying the height by the area of the base. Represent threefold whole number products as volumes, e.g., to represent the associative property of multiplication.

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Minecraft Volume

__Lesson 3:__**Main Idea**: Students find volumes of irregular solids. They learn that the volume of some objects can be found by breaking apart the object into other objects for which the volume of each can be found.

**Standard(s):**5.MD.C.5cRecognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

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Volume Game

__Lesson 4:__**Main Idea**: Students use objects and reasoning to find the volumes of solids. They learn how some problems can be solved by using objects to act out the action in the problem. They also learn that some problems can be solved by reasoning about conditions in the problem.

**Standard(s):**

5.MD.C.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

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