Estimating volume

CONCEPTUAL

Mathematics›Measurement|Ages 9—10|ID: mt_NSC3LT_-ch

Estimate volume of cuboids using 1 cm³ blocks; estimate capacity of containers using water

Mastery Evidence

Build a cuboid from 1 cm³ blocks and state its volume
Estimate how many cm³ blocks would fill a given box
Estimate the capacity of a jug by comparing to known litre measures

Assessment Prompt

“If [child] has a small cardboard box, can they estimate how many 1 cm³ cubes would fit inside it — and then fill it with sugar cubes to check?”

Prerequisites1

Area (age 8+)
hardAges 8—9

Show full prerequisite tree

Area (age 8+) hard
Counting unit squares for area supports extending to counting unit cubes for volume
- Understanding Area hard
  Must understand unit squares and area concept before measuring by counting
  - Measuring length (age 7+) soft
    Length measurement experience supports understanding area as a 2D measurement
    - Measuring length (age 6+) hard
      Using standard measurement tools extends measuring with non-standard units
      - Measuring length and height (age 5+) hard
        Measuring with iterated units extends Y1 beginning to measure length
        
        Comparing Lengths & Heights hard
        Measuring length with units requires first being able to compare lengths directly
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
      - Measuring length soft
        Measuring with units benefits from ability to order and compare lengths
        
        Comparing Lengths & Heights hard
        Ordering 3 objects by length and indirect comparison extends direct length comparison
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
    - Choosing measurement units soft
      Choosing appropriate tools builds on choosing appropriate units
      - Capacity and volume hard
        Using standard units for capacity extends from beginning to measure capacity
        
        Comparing Capacity hard
        Measuring capacity with units requires first being able to compare capacities
        
        Measurable Attributes of Objects hard
        Comparing capacity requires understanding capacity as a measurable attribute
      - Measuring length and height (age 5+) hard
        Using standard units for length extends from beginning to measure length
        
        Comparing Lengths & Heights hard
        Measuring length with units requires first being able to compare lengths directly
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
      - Measuring mass and weight hard
        Using standard units for mass extends from beginning to measure mass
        
        Measuring mass and weight (age 4+) hard
        Measuring mass with units requires first being able to compare masses directly
        
        Measurable Attributes of Objects hard
        Comparing mass/weight requires first identifying mass as a measurable attribute

Unlocks1

Measuring length (age 10+)
hardAges 10—11