## Task Teacher Guide

Be sure to read the teacher guide prior to running the task. When you’re ready to run the task, use the tabs at the top of the page to navigate through the lesson.### In This Purposeful Practice…

### Intentionality…

- To measure the area of a rectangle, it must be completely covered by units of area (square units), without gaps or overlaps;
- The alignment of square units produces the rows and columns of an array, with the same number of units in each row;
- The array replaces the need to count individual units and makes it possible to calculate an area;
- Both the number of units in each row and the number of units in a column can be determined from the length of the rectangle’s sides.

## Math Talk

### Overview of This Visual Math Talk

### Visual Math Talk Prompt #1

**What is the area of the rectangle?**

**Convince your neighbour.**

### Visual Math Talk Prompt #2

Although all of the strategies leveraged in visual number talk prompt #1 are valid and helpful here, we will focus our attention on some more advanced strategies that students may bring forward or that we hope to help emerge through our facilitation of this math talk. After our consolidation of the previous number talk prompt, some students may quickly identify the number of rows and columns noticing that we have the same number of columns, but 1 less row. That student might choose to simply remove 1 group of 8 square units from the previous result. Other students might recognize that 2 rows of 8 square units is 16 square units and therefore, they can double that result to land on the same total of 32 square units. It is helpful to write down this strategy both visually over the array (or area model) and symbolically so students can make connections between representations. Of course open the floor to other students who are interested in sharing other strategies that can be helpful to determine the area of the rectangle.What is the area of the rectangle?Convince your neighbour.

### Visual Math Talk Prompt #3

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### Visual Math Talk Prompt #4

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## Purposeful Practice

### While Students Are Practicing…

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### Questions: Area of a Triangle

**Login/Join to access one (1) additional Math Talk Prompt as well as the Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem-based units.**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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Download/Edit the handout so you can keep it handy and share with colleagues. JOIN TO DOWNLOAD## 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.### Visual Math Talk Prompt #1

### Visual Math Talk Prompt #2

### Visual Math Talk Prompt #3

### Visual Math Talk Prompt #4

### Question #1

### Question #2

### Question #3

### Question #4

**Download Editable/Printable Handout**

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