aidemia--modules-discussion_request	Give a list of questions for discussing during a class
Which subject	Mathematics
What age group	Year or Grade 7
What topic	Which of the following situations involve opposite quantities combining to make 0? Show your work for all four answer choices. A) Stella has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday. B) Devon opens a new checking account with $30. His first purchase, made with his new debit card, totals $28. C) Joe makes 4 liters of lemonade and drinks 3 liters today and 1 liter tomorrow. D) Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.
Quantity	3
Hints to each question
Any other preferences

Class Discussion: Exploring Opposite Quantities in Mathematics

Introduction

Today, we will dive into the concept of opposite quantities combining to make zero. This idea is crucial in understanding how addition and subtraction interact in mathematical scenarios. We’ll evaluate four different situations and determine whether they result in a net effect of zero. Be ready to show your work!

Discussion Questions

Question 1: Analyzing Stella's Piggy Bank

1. Situation: Stella has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday.
   • Question: Does this situation involve any opposite quantities? Show your calculations to determine the total amount in the piggy bank after these transactions.
   • Follow-up: If Stella later removes some money, what would she need to remove for the total to become zero?

Question 2: Devon's Checking Account

2. Situation: Devon opens a new checking account with $30. His first purchase, made with his new debit card, totals $28.
   • Question: How do the transactions affect Devon’s balance? Does this situation involve opposite quantities? Show your calculations.
   • Follow-up: What would happen to his account if he spent $30 right after? Would that reset his balance to zero?

Question 3: Joe's Lemonade

3. Situation: Joe makes 4 liters of lemonade and drinks 3 liters today and 1 liter tomorrow.
   • Question: Are there any opposite quantities in Joe's situation? How does his lemonade consumption change the total amount produced? Show your work.
   • Follow-up: If Joe made another batch of 4 liters after consuming, how would that affect the situation?

Question 4: Brittany's Novel

4. Situation: Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.
   • Question: Does Brittany’s scenario show any opposite quantities? What is the total effect on the number of pages? Illustrate your calculations.
   • Follow-up: If Brittany had chosen to keep the 4 pages instead of discarding them, what would be the outcome?

Group Activity

After discussing each question, let’s break into small groups to:

• Choose one situation that most interests you
• Explain whether it involves opposite quantities that combine to make zero
• Present your reasoning to the class, including calculations

Conclusion

Understanding how opposite quantities interact helps us become better problem solvers. By examining these situations, we’ll learn how to recognize patterns in real-life mathematical concepts. Let’s reflect on what we discussed today—are there other scenarios you can think of that also may combine to make zero?