## 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…

**start, change and unknown result**structure.

### Intentionality…

- Situations involving addition and subtraction can be modelled using a number line;
- Integers include zero, all whole numbers and their opposites;
- Integers represented on a number line show their relative distance from zero;
- Some addition and subtraction scenarios follow the structure of start, change and result;
- An integer can represent a change or a quantity;
- When a positive and a negative integer are added together, the result is positive if the absolute value of the positive integer is greater than the absolute value of the negative integer.

## Math Talk

### Overview of This Visual Math Talk

### Visual Math Talk Prompt #1

**This car is parked on level 5. **

**The car is moved down 6 levels.**

**What level is the car on now?**

**Write an equation to represent this scenario.**

**zero principle**by first decomposing -6 (or going down 6 levels) to -5 and -1 so level 5 and removing 5 levels cancel bringing the car to level 0. Then, we have a movement of -1 floors remaining to bring us to level -1. Of course this action is very intuitive through the context of levels in a parking garage, however it is important to also annotate what we are doing using the symbolic representation for students to see the relationships involving integer operations of addition and subtraction.

**Facilitator note:**The integers in this context can be interpreted as a change or as quantities of floors. For example, if the car starts on the fifth floor above ground level (5), and moves down 6 floors, this can be expressed as the addition of 6 negative floors [5 + (−6)], or a subtraction of 6 floors (5 − 6). Both statements result in the same answer (−1). When a positive and a negative integer are added together, the result is negative if the absolute value of the positive integer is less than the absolute value of the negative integer.

### Visual Math Talk Prompt #2

Moving the car “up” 3 levels will bring the car closer to ground level. Worth noting is that -5 can be decomposed into -3 and -2, which can quickly allow us to reveal that the car should end up on level -2 as 3 + (-3) is equivalent to 0 due to the zero principle.This car is parked on level -5.The car is moved up 3 levels.What level is the car on now?Write an equation to represent this scenario.

**Facilitator note:**In this scenario, we are adding a positive value to a negative integer. The absolute value of the positive is less than the absolute value of the negative. The result is negative.

### Visual Math Talk Prompt #3

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### While Students Are Practicing…

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*to access the Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem-based units.*### Questions: Adding and Subtracting Integers

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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

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### Question #1

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### Question #2

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### Question #3

### Question #4

### Question #5

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