Unit 2: How Math Solves Real-World Problems
☆Introduction
Have you ever made a decisions and later thought, "Did I make the right call?" Whether you're planning a get together, deciding how to spend your time, or figuring out how to split costs with your friends, math can help you make smarter choices.
This unit is all about using math as a problem-solving tool in everyday life. From organizing plans to weighing different options, you'll see how math supports good decision making and helps you feel more confident navigating real-world situations.
🎯Learning Targets
After this unit you will be able to:
- Recognize how mathematical concepts can help solve everyday problems and scenarios.
- Understand the role of math in organizing and planning.
- Continue to apply basic math skills to real world scenarios, such as shopping and budgeting.
- Explore how math helps in decision making across various situations.
🧠Reflect
Think about a recent decision you made that involved planning or comparing options. Think:
- Did math play a role (time, money, quantity, etc.)
- Would math have helped if you didn't use it?
🏕Scenario 1: Camping
Meet Jordan and Taylor. Both went shopping to get everything they needed for a weekend camping trip. They each had a $100 budget, but they spend their money very differently.
Jordan's Purchases-
- Sleeping bag: $35 (on sale, regular price $50) Flashlight: $20
- Foods & Snacks: $25
- Reusable Water Bottle: $15 Tax (8%): ?
- Total Spent: ?
Taylor's Purchases-
- Sleeping bag: $50
- Flashlight: $10 (cheaper brand, lower quality) Foods & Snacks: $30
- Pack of 12 Disposable Water Bottles: $5 Tax (8%): ?
- Total Spent: ?
Your Task
- Calculate how much each person spent (including tax)
- Decide who made the smarter financial decision
- Justify your reasoning- Who got more for their money? Who made decisions that could save them money in the future?
💰Scenario 2: Payment Options
Before Watching:
Have you ever wanted to buy something expensive (like a gaming system, phone, clothes, shoes, etc.)
- What options might you have to pay for it?
- What are some pros and cons of waiting until you have enough money vs. paying in smaller amounts over time.
Watch:
This video presents a scenario where a person considers different payment options- such as cash, credit card, store credit, rent-to-own, and layaway- to purchase an item. It breaks down the pros and cons of each method, including interest rates and total costs, helping students understand which option is more financially sound.
Make sure to take notes on:
- The different payment methods shown The final cost of each option
- Any math or reasoning used to explain which option is best
After Watching:
Mathematical Reflection:
- What was the total cost for each payment option? Which method cost the most? The least?
- Did the most expensive method surprise you at all?
Decision Making:
Which payment method do you think was the best choice? Why?
Real Connection:
Have you or someone you know used any of these payment methods? How can this math help you make smarter money choices in the future?
✅Your Turn!
Based on what you have learned so far in this course, try to create your own short scenario with two different choices that involve mathematical reasoning and decision making. Include numbers and ask your classmates to decide which is the better option and explain why!
💡Extended Resources
YouTube. (2024, August 12). Comparing payment methods- Khan Academy. YouTube. https://www.youtube.com/watch?v=OSRJDrkH0oo