Making Sense of Change: Percent Increase & Decrease for Your Homeschool Math Department

Sometimes it feels like math concepts are designed to confuse us, especially when they pop up in word problems. You learn the formula, you practice the steps, and then BAM—a word problem throws you a curveball involving gas prices or savings accounts. It can make you feel like you need a whole new department just to tackle percentages!

If you’re navigating the world of 5th-grade math curriculum, or perhaps you’re prepping your own micro-school curriculum for middle schoolers, you know that understanding how to calculate a percent change—whether it’s an increase or a decrease—is non-negotiable. It’s a foundational skill that pops up everywhere, from budgeting for a family field trip to understanding growth in a local community.

This video tutorial breaks down the concept of percent change, walking us through the formula step-by-step. It’s perfect for reviewing with your students, whether you are following a structured classical education path or integrating more unschooling-style, real-world math application.

Understanding the Formula: The Heart of Percent Change

The core takeaway from the video is the formula itself: (New Value - Original Value) / Original Value × 100%. It’s simple enough to write on the whiteboard, but applying it correctly—especially knowing when to expect a positive versus a negative result—is where the magic happens.

Think of it like tracking the growth (or decline!) of your family’s resources. If your savings account goes up, the result is positive (a percent increase). If something decreases, the result is negative (a percent decrease). This concept of positive vs. negative change is key, whether you are teaching a formal math department or just helping your child understand the world around them.

Real-World Math Practice for Your Curriculum

What makes this topic so useful for a homeschool setting? Because the examples are drawn from life! We aren't just calculating with random numbers; we are calculating the price of gas, the growth of a population, and the increase in a savings account. These are the kinds of practical, tangible lessons that make learning stick, whether you are using a Charlotte Mason approach emphasizing observation or integrating more structured curriculum.

When we teach math, we want our students to see the 'why.' Seeing how a 16% increase in savings translates to real money, or how a 14.29% increase in gas prices affects family budgeting, makes the abstract concept concrete. It connects right back to the sovereignty of managing our own resources!

If you are looking to deepen your math curriculum this month, remember that mastering these types of word problems builds confidence across all subjects. It shows your students that math isn't just equations; it's a tool for understanding the world's patterns.

Tips for Teaching This Concept

1. Identify Roles First: Before plugging numbers into the formula, have your students explicitly label the 'Original Value' and the 'New Value' in the word problem. This prevents mix-ups when the problem is worded confusingly.
2. Use Visuals: If you are teaching a younger group, use a simple graph or even draw a timeline to represent the change visually before doing the calculation.
3. Review the Sign: Always have a quick check: Did the value go up? Positive result expected. Did it go down? Negative result expected.

Whether you are building a hybrid school model that mixes online lessons with hands-on learning, or you are diving deep into a specific area of your curriculum, mastering percent change is a huge win. It’s a skill that serves your family’s education goals right now.

Ready to build out the next unit for your homeschool curriculum? Check out our resources! If you need help finding a mentor or want to see how other families are tackling math concepts, consider taking a Field Trip to see what's happening locally, or perhaps claiming a Faculty profile to connect with experienced teachers in your area!