SOWING SEEDS [DAY 2]
Whole Number Partitive and Quotative Division (1 & 2-Digit)
Introduction to partitive and quotative division. This unit is designed to support students in understanding the two types of division and should be considered before exploring all other division units.
Intentionality
Math Talk
Purposeful Practice
Resources & Downloads
Educator Discussion Area
Intentionality & Unit Overview
Length of Unit: 5 Days
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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
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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.
Resources & Downloads
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Educator Discussion Area
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