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The purpose of this activity is for students to think about and discuss statements that address their understanding of important ideas about fractions. Students will consider ideas about how fractions are defined, comparing fractions, and how fractions relate to whole numbers. It is not necessary for each group to discuss all of the statements, but if there are any you’d like to make sure each group discusses, let them know at the start of the activity.
Students construct viable arguments to explain their choices (MP3). In order to do so, they need to use key fraction language, such as “whole” and “equal-size piece,” precisely (MP6).
Discuss each statement in 3 rounds with your group.
Repeat the rounds for as many statements as you can.
“Which statement did your group have the most discussion about and why?” (We discussed the idea that one-half is always greater than one-third the most because some people agreed and some disagreed.)