In this activity, students will
• Develop understanding of fractions as numbers with a whole partitioned into equal parts.
• Discover equivalent representations of fractions using the number line.
• Move from the concrete (folding) to pictorial (drawing number line) to the abstract (reasoning about what they are learning).
• Consider how the factors two and three are related to the denominators.
I recommend using this activity in small groups. Use the directions for each number line to guide students in folding, labeling, and discussing what they are discovering. In a small group setting, the teacher will gain better insight in what individual students are thinking and understanding. Through assessing and advancing questions, the teacher will be able to differentiate instruction to meet the needs of individual learners. Students may journal about their learning after completing this activity.
However, with careful planning you may choose to use with whole class or in centers. For the ultimate learning experience, students should work with at least a partner to provide opportunity to discuss what they are observing and discovering.