## Comparing volume - pints, quarts and gallons tutorial

Activity type: Tutorial

## Comparing volume - pints, quarts and gallons tutorial

Course
Mathematics
Section
Volume
Outcome
Volume and Capacity
Activity Type
Tutorial
Activity ID
18870

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## United States – Common Core State Standards

• ##### 4.MD – Measurement & Data
• Mathematics

• 4.MD.2 – Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

• ##### 5.MD – Measurement & Data
• Mathematics

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

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

• 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.

• 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.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.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.

## Australia – Australian Curriculum

• ##### Measurement and Geometry
• Using units of measurement

• ACMMG138 – Connect volume and capacity and their units of measurement

## New Zealand – National Standards

• ##### 7.GM – Geometry and measurement
• 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

## United Kingdom – National Curriculum

• ##### Year 5 programme of study
• KS2.Y5.M – Measurement

• Pupils should be taught to:

• KS2.Y5.M.5 – Estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]