Unit of measurement for measuring Volumea cube.


Each pupil chooses 2 sheets of larger and 2 of smaller origami paper.

The animations will show only 2 sheets but all 4 sheets should be folded at each stage of folding.


Folding instruction: Turn over all sheets.


Folding instruction: Fold opposite parallel sides on all squares.


Folding instruction: Fold the longer sides onto each other on all shapes.


Folding instruction: Fold shorter parallel sides as shown.


Folding instruction: Open this fold on all shapes.


Folding instruction: Fold each shorter side onto the line of symmetry.


Folding instruction: Fold parallel sides as shown and open the fold on all shapes.


Folding instruction:
Preparation before glueing.


Folding instruction: Open out after glueing.

Each of these parts are the envelopes of a square.


Folding instruction: Rotate the the shapes as shown.


Folding instruction: Join 2 parts as shown.


A discussion question: What can we find about the edges and vertices of these cubes.


Each CUBE has 8 vertices, 12 edges and 6 square shaped faces.


In the animation we can see an example of the net of a cube.


Folding instruction: Put aside your larger cube and only use the smaller cube.


A group activity: Using your smaller cubes make together a structure of cubes.

The class works together as groups.


A discussion question: Which of these structures has the largest volume measurement?


Answer: The structures are assembled with the same number of cubes and the volume measurement is the same for each structure.

In kindergarten lessons the pupils have already learnt about filling containers with different materials in order to give them an intuitive understanding of the difference between area and volume measurements.


A discussion question: Using your measurement tool compare the heights of each structure. What did you find?

Measurement of prisms need 3 measurements. Height,length and width.


Answer: The height measurement alone of a solid is insufficient for determining the volume of the solid.

When two measurements of both prisms is the same length it is possible to determine the volume of the prisms with the height measurement alone.


A group activity: Fill the box once with the smaller cubes and once with the larger cubes. Did you use the same number of cubes each time? What about the volume? Explain.

The box has the same volume but is measured with different units of measurement a smaller cube and a larger cube.


Answer: As the unit measurement is different,once a small cube and once a larger cube, the volume measurement will be different according to the number of cubes used.

When stating a volume measurement the unit of volume measurement must always be mentioned.


Different shaped solids may have different volume measurements. In further lessons we will learn how to find the volume of different shaped solids.

The first stage of understanding the concept of volume uses the activity of filling the solid.
 Lesson Aims
 Recognizing the concept of volume.
 Recognizing the use of an accepted unit of volume measurementa cube.
 Recognizing which measurements are necessary for determining the volume of a prism.
 Recognizing that different structures may have the same volume but different heights.
 The Name of the Model
Structures built with cubes.
 רצף מומלץ
 Lesson Content
The pupils will construct two different sized cubes by a folding process. Using these cubes the pupils will measure the volume of a container and reach the understanding that a number representing a volume measurement must relate to the unit of measurement used. Pupils will learn that different structures assembled with the same number of cubes may have different heights.Height measurement alone is insufficient for volume measurement.
 Materials
Origami sheets of 2 sizes. 10 x 10 cm,15 x 15 cm.