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Modeling and Explaining Fractions - Grades 3-5
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This toolkit will support students who struggle with understanding what unit and non-unit fractions are and what the numbers in a fraction represent. Students will engage with visual representations such as paper folding and tape diagrams and make connections to the fraction form.
Goals and Standards
Colorado Academic Standards:
- Describe a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b . (CCSS: 3.NF.A.1)
Mathematical Practice Standards:
- Make sense of problems and persevere in solving them (MP1)
- Model with mathematics (MP4)
- Attend to precision (MP6)
Learning Goal:
- Students will understand and precisely model and describe the meanings of the numbers in a fraction.
Materials List
- Pre-assessment
- Equal Parts Task (Introduction)
- Progress Monitoring Sheet
- Note catcher for Session #1, #2 and #3
- Answer Key for Note Catcher Session #1, #2 and #3
- Pre-cut construction paper strips, cut longways (Session 1)
- One Unifix cube or cubic inch block per student (Session 3)
- Post-Assessment
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