Measurement · B5 Mathematics

Lesson notes

Learning Objectives

Indicator: B5.3.2.2.3 - Determine different sizes of boxes that have the same volume.

By the end of the lesson, learners can:

Build rectangular boxes using a given number of 1 cm³ cubes and record the length, width, and height of each box.
List all possible dimensions of boxes that can hold a given number of centimetre cubes.
Explain, using their own words, why boxes with different dimensions can have the same volume.
Apply the formula Volume = length × width × height to check that different boxes have the same volume.
Draw neat labelled diagrams of boxes showing the length, width, and height for each set of dimensions.

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Measurement (3.2)
Content standard: B5.3.2.2 - Demonstrate an understanding of volume of common 3D shapes
Indicator: B5.3.2.2.3 - Determine different sizes of boxes that have the same volume.
Suggested placement: Term 3, Week 6 (Week 30 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

exemplars - p.102
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 102
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Given 12 centimetre cubes, ask learners to find the different dimensions of boxes that can take the cubes. For 12 cubes the boxes can be of dimension 1cm x 1cm x 12cm or 2cm x 2cm x 6cm. Can we find any more drawings.
E.g. 2 Ask learners to investigate with 20, 24, 30 and 48 centimetre cubes and draw all possible boxes

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: E.g.1; E.g. 2; Given 12 centimetre cubes, ask learners to find the different dimensions of boxes that can take the; cubes. For 12 cubes the boxes can be of; dimension Icmx|cmx 12cm or; 6cm; 2cm×2cmx6cm. Can we find any more; drawings.; Ask.

 The document prints this indicator's code and text run together as "B5.3.2.2.3Determine different sizes of boxes that have the same volume.", with no space, which is why INVENTORY.md misses it.