Unpacked Content
Knowledge
Students know:
- Measurable attributes of objects, specifically volume.
- Units of measurement, specifically unit cubes.
- Relationships between unit cubes and corresponding cubes with unit fraction edge lengths.
- Strategies for determining volume.
- Strategies for finding products of fractions.
Skills
Students are able to:
- Communicate the relationships between rectangular models of volume and multiplication problems.
- Model the volume of rectangles using manipulatives.
- Accurately measure volume using cubes with unit fraction edge lengths.
- Strategically and fluently choose and apply strategies for finding products of fractions.
- Accurately compute products of fractions.
Understanding
Students understand that:
- The volume of a solid object is measured by the number of same-size cubes that exactly fill the interior space of the object.
- Generalized formulas for determining area and volume of shapes can be applied regardless of the level of accuracy of the shape's measurements (in this case, side lengths).
Vocabulary
- Right rectangular prism
- V = b h (Volume of a right rectangular prism = the area of the base x the height)