Task Teacher Guide
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In This Purposeful Practice…
Students will divide fractions through partitive division leveraging a context.
Intentionality…
The purpose of the Day 2 activities is to reinforce key concepts from Day 1. Students will engage in a string of related problems through a math talk and will have an opportunity to complete independent purposeful practice. The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas:
- Partitive division is one of the two types of division;
- When dividing partitively, the dividend and the divisor often (not always) have two distinct units;
- The resulting quotient has a compound unit (quantity of dividend per one unit of divisor);
- The dividend and the divisor are a ratio before the division is performed;
- The quotient in a partitive division problem is a rate; and,
- The quotient can be revealed through scaling the ratio in tandem to one whole of the divisor.
Math Talk
Related String Of Problems
Present each of the following division statements one at a time. Leverage yesterday’s context, bags of salt divided by driveway. You might consider using an area model, and/or a number line to support student thinking. Some students might also be ready to see this relationship represented in a ratio table.
6 ÷ 4
\(3 ÷ \frac{1}{2}\)
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Purposeful Practice
While Students Are Practicing…
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Purposeful Practice: Dividing Fractions
Question #1:
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Question #2:
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Question #3:
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Question #4:
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We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.
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Explore The Entire Unit of Study
This Make Math Moments Task was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, and extensions to elicit and emerge mathematical models and strategies.
Click the links at the top of this task to head to the other related lessons created for this unit of study.
Bags of salt and driveways…
6 ÷ 4
…
3 ÷ \(\frac{1}{2}\)
…
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…
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1. Grayson uses…
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2. Gurdeep uses…
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3. Consider the…
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4. Complete the…
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Download Editable/Printable Handout
Become a member to access purposeful practice to display via your projector/TV, download the PDF to upload to your LMS and/or print for students to have a physical copy