Name Three Equal Shares as Thirds
Use the supplied equal-share description.
About 15 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: A rectangle is partitioned into three equal-width vertical strips.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Three equal-area shares of one whole are thirds. Every share has one third of that whole, and all three thirds rebuild it. Merely making three pieces is not enough: their areas must be equal. The whole’s size determines the physical size of each share.
Use the supplied equal-share description. Name one share, then count how many such shares rebuild the whole. Draw three equal-width strips to show both the part and the full region.
Confirm equal areas before naming the shares thirds. Three pieces are not automatically three equal shares. Divide one rectangle into three equal-width adjacent strips.
- Divide one rectangle into three equal-width adjacent strips.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied equal-share description.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
A rectangle is partitioned into three equal-width vertical strips. Each is one third, and three thirds form the entire rectangle. A rectangle split into one huge region and two tiny regions has three pieces but not three equal thirds. Confirm equal areas before naming the shares thirds. Three pieces are not automatically three equal shares. Divide one rectangle into three equal-width adjacent strips.
Check your reasoning
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Helpful tips
- Confirm equal areas before naming the shares thirds.
- Three pieces are not automatically three equal shares.
See the answer and explanation
One third
Three equal shares mean each has one third of this same whole.
Take it further
Shade two of three equal strips. Expected: two thirds shaded; one third unshaded.
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