5 – Grade 5

• 5.MD – Measurement & Data

  • Mathematics

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

      • 6 learning outcomes – click to view

        Samples: Calculate the volume of a stack - record in cubic centimetres. 

    • 5.MD.3 – Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

      • 5.MD.3.a – A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

        • 4 learning outcomes – click to view

          Samples: Cubic Cm Rectangular Prism. Volume Extension. Drawing 3D Objects - cylinder. 

      • 5.MD.3.b – A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

        • 4 learning outcomes – click to view

          Samples: Calculate the volume of a stack - record in cubic centimetres. 

    • 5.MD.5 – Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

      • 5.MD.5.b – 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.

        • 5 learning outcomes – click to view

          Samples: Cubic Cm Rectangular Prism. Calculate the volume of a stack - record in cubic centimetres. 

      • 5.MD.5.c – 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.

        • 5 learning outcomes – click to view

          Samples: Cubic Cm Rectangular Prism. Matching - three-dimensional objects with their nets. Naming prisms and pyramids. 

      • 5.MD.5.d – 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.

        • 3 learning outcomes – click to view

          Samples: Cubic Cm Rectangular Prism. Comparing volume - pints, quarts and gallons tutorial. Volume Extension.