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KS2.Y6.M – Measurement
Pupils should be taught to:
KS2.Y6.M.5 – Recognise when it is possible to use formulae for area and volume of shapes
Samples: Calculating the volume of rectangular prisms tutorial. Volume Extension. Circumference of a Circle.
Using units of measurement
ACMMG138 – Connect volume and capacity and their units of measurement
Samples: Calculating the volume of rectangular prisms tutorial. Comparing the volume of liquids tutorial.
Using units of measurement
ACMMG160 – Calculate volumes of rectangular prisms
Samples: Calculating the volume of rectangular prisms tutorial. Calculating the volume of rectangular prisms.
7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions
Samples: Problem solving: Perimeter and Area. Calculating area using a grid. Calculating the Area of Irregular Shapes.
Mathematics
5.MD.4 – Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
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.
Samples: Calculating the volume of rectangular prisms tutorial. 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.
Samples: Calculate the volume of a stack - record in cubic centimetres. Comparing the volume of liquids tutorial.
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.
Samples: Calculating the volume of rectangular prisms tutorial.
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.
Samples: Calculating the volume of rectangular prisms tutorial. The net of a cylinder. 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.
Samples: Calculating the volume of rectangular prisms tutorial. Comparing the volume of liquids tutorial. Volume Extension.