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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

Videos, examples, solutions, and lessons to help Grade 5 students learn to relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

A. 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.

B. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

C. Recognize 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.

Common Core: 5.MD.5

### Suggested Learning Targets

• I can measure the volume of a solid figure by filling it with cubes and counting the number

 5.MD.3 and 5.MD.4 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

### Use Unit Cubes

Finding Volume with Multiplication and Addition - 5.MD.5a
In this video, students learn how to find the volume of a shape by using multiplication and addition as a precursor to using a formula. This video relates to Common Core Standard 5.MD.5.

Measuring volume as area times length.

### Use Volume Formula

Volume of a Rectangular Prism - 5.MD.5b
In this video, students will learn the formula for the volume of a rectangular prism. This video relates to Common Core Standard 5.MD.5 Volume of a Cube - 5.MD.5b
In this video, students will learn the formula for the volume of a cube. This video relates to Common Core Standard 5.MD.5 Students learn the why behind the formula and then to apply the formula to find the volume of a cube. Volume of a rectangular prism or box examples.

Volume of Composite Shapes - 5.MD.5
In this video, students learn about the additive property of volume. This video relates to Common Core Standard 5.MD.5. Students learn to find the volume of composite shapes by finding the volumes of two non-overlapping right rectangular prisms and then adding them together.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  