Task Teacher Guide
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In This Purposeful Practice…
Students will explore modelling partitive division of two-digit whole numbers by one and two-digit divisors.
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:
- There are two types of division;
- Partitive division is when the total quota is known (the dividend), and the number of parts or groups (the divisor) is known;
- Partitive division reveals a rate;
- In partitive division, the dividend and the divisor often have different units;
- The dividend and the divisor of any division sentence represent a ratio;
- In a partitive context, the ratio is often a composed unit;
- The dividend from any division sentence can be decomposed into smaller parts to allow for friendlier division by the divisor. This strategy is known as partial quotients. (i.e.: 85 ÷ 5 = 45 ÷ 5 + 40 ÷ 5 = 9 + 8 = 17).
Math Talk
Related String of Problems
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Purposeful Practice
While Students Are Practicing…
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Questions: Partitive Division
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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Resources and Downloads
Lesson Tip Sheet
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Printable Handout
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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.
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1. 96 candies need to…
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2. Lucia bakes…
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3. Consider the…
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4. Write your own…
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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