Start with the whole and the physical pieces. Name a share only after students decide whether all the shares are equal.
1Build the whole-to-part language
Keep every piece joined. Ask: How many equal shares make the whole? Then tap one piece and choral-read the caption: “1 of 3 equal shares.” Connect it to “one third.”
2Move one piece at a time
Ask students to predict what will happen before a piece moves. Separate and rejoin individual pieces, then use the slider to slow the action down. All pieces together still make one whole.
3Change outlines without changing area
For rectangles, compare horizontal thirds with slanted thirds, or grid fourths with fourths from the center. The whole and the share count stay fixed. Equal shares do not need matching outlines.
4Use the unequal challenge as a checkpoint
Ask: Can we call these halves, thirds, or fourths? Require “not equal shares” reasoning before accepting a share name. The unequal pieces can still make one whole when joined.
Geometry note: Circle shares use equal central angles in equal mode. Rectangular strips use equal widths or heights; slanted strips are placed by average width, and the four center triangles each occupy one fourth of the rectangle’s area. Separation only translates pieces; it never changes their areas.
CCSS 2.G.A.3: Partition circles and rectangles into two, three, or four equal shares; describe the shares and the whole; recognize that equal shares of identical wholes need not have the same shape.