## SOWING SEEDS [DAY 4]

### 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

### Access each lesson from this unit using the navigation links below

Students will explore modelling partitive division of two-digit whole numbers by one and two-digit divisors.

**Intentionalityâ€¦**

The purpose of the * Day 4* 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;
is when the total quota is known (the dividend), and the number of parts or groups (the divisor) is known;**Partitive division**- Partitive division reveals a rate;
- In partitive division, the dividend and the divisor often have different units;
- In a quotative context, the dividend and the divisor have the same unit;
is when the total quota is known (the dividend), and the number per group or the rate (the divisor) is known;**Quotative division**- Quotative division reveals the number of copies or iterations of a rate that can be derived from the overall quota (the dividend);
- The dividend and the divisor of any division sentence represent a ratio;
- In a partitive context, the ratio is often a composed unit;
- In a quotative context, the ratio is a multiplicative comparison;
- 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
. (i.e.: 85 Ã· 5 = 45 Ã· 5 + 40 Ã· 5 = 9 + 8 = 17).**partial quotients** - The remainder can be divided by the dividend resulting in a fraction in both partitive and quotative division contexts, unless the unit is discrete and cannot be partitioned (for example, a marble or a person).

## Math Talk

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## Purposeful Practice

## While Students Are Practicing…

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## Questions: Partitive and Quotative Division

**Question #1:**

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**Question #2:**

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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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