This video explains that 1/2 is one of two equal parts, with examples from gardens. This concept is demonstrated by physically dragging one object over the other to see if the sizes are the exact same.
Other examples include splitting a deer into two parts (weird), dividing six blankets into two equal shares and two deer each eating half of eight bushes.
It is mentioned in passing that two halves make up one whole. You may want to emphasize this concept in your teaching.
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