204: Math Projects Don’t Have to Replace Your Curriculum

If you’ve ever thought, I would love to do more real-world math projects, but where am I supposed to fit them? I get it.

You already have a curriculum, pacing guides, standards, assessments, and a calendar that never seems to have enough room for everything you’re expected to teach. The idea of adding a project on top of all that can feel completely unrealistic.

But what if we stopped thinking about projects as something we have to squeeze into the curriculum?

What if we started thinking about them as a way to give the mathematics we’re already teaching somewhere meaningful to go?

That’s a shift I’ve found incredibly helpful in my own classroom. And it starts with recognizing that a math project doesn’t have to look one particular way. It doesn’t always need to take over an entire unit, involve a massive final product, or replace the instruction and practice students need.

Sometimes a project helps students investigate a question. Sometimes it gives them a decision to make. And sometimes it turns the practice they already need into something more purposeful.

Here are three ways I’ve used projects to support the mathematics I’m already teaching.

1. Investigate Something With Mathematics

The first way to use a project is to give students something to investigate.

Statistics is a natural fit for this because data can help us understand patterns, compare groups, examine relationships, and make predictions. Instead of handing students a data set and asking them to calculate a few statistics, we can give those skills a bigger purpose.

That’s the thinking behind my Election Data and Statistics project.

Students work with election-related data, represent information in different ways, examine distributions and relationships, and use statistics to make sense of what the data can tell them.

The mathematics hasn’t changed. Students still need to understand the statistical concepts you’re teaching. They still need to create representations, interpret results, and explain their reasoning.

What’s different is that those skills are connected through a larger investigation.

Instead of completing a collection of disconnected tasks, students use the mathematics to explore information and answer questions about it.

The statistics become the tools students use to conduct the investigation.

And this approach isn’t limited to election data. Depending on your standards and your students, you might investigate sports statistics, school data, weather patterns, population changes, or another topic that gives students a meaningful reason to analyze information.

When you’re planning your next unit, consider asking:

Is there something my students could investigate using the mathematics I’m already teaching?

You might discover that several skills you’re already covering can work together to help students explore a bigger question. You don’t necessarily need a new unit… you may simply need a reason for students to use what they’re learning together.

2. Give Students a Decision to Make With Mathematics

Another way to use a project is to give students a decision that requires mathematical reasoning.

Think about how we typically introduce systems of equations. We might write two equations on the board, show students how to solve them, and give them a set of problems to practice.

There’s nothing inherently wrong with that. Students need instruction and practice to develop their understanding.

But notice something about that experience: we’ve already made the important decision for them.

We’ve told students which mathematics to use and what they need to do with it.

Now imagine students creating a business and trying to determine when it will become profitable.

That’s the idea behind my Pitch Profit project.

Students think about business costs and revenue, develop mathematical models, and use a system of equations to determine their break-even point.

Suddenly, the system of equations answers a question that matters to the situation:

At what point does this business start making money?

The mathematics has a job to do.

Students still need to write equations, solve systems, interpret their solutions, and understand what those solutions mean. They may need direct instruction, guided examples, and additional practice along the way.

The project doesn’t eliminate those parts of teaching. It gives students a reason to use what they’re learning.

And you can apply this idea to plenty of other mathematical concepts.

Could students compare two options and determine when one becomes more advantageous? Could they evaluate competing plans, optimize a design, or decide which choice best meets a set of constraints?

The specific decision will depend on the mathematics you’re teaching. The important part is that students have to use that mathematics to reach and justify a conclusion.

When you’re planning, ask yourself:

Is there a decision my students could make using this mathematics?

That question can lead to some surprisingly manageable project ideas. You’re not necessarily adding more content. You’re creating an opportunity for students to apply the content you’re already teaching.

3. Turn Practice Into a Meaningful Product

This third approach is one of my favorites because it challenges an assumption I think we sometimes make about projects.

We tend to put projects and practice into separate categories.

You can do a project, or you can practice the mathematics.

But sometimes, the project is the practice.

My Stained Glass Linear Equations project is a great example.

Students need to graph linear equations. They need repetition. They need opportunities to work with slope-intercept form, standard form, or whichever forms you’re focusing on in your classroom.

That practice matters.

But instead of every graph disappearing when students finish a worksheet, their equations become part of a stained-glass design.

The mathematical work is still there. Students are still graphing equations and developing fluency. The difference is that their individual pieces contribute to something they’re creating.

This isn’t necessarily a huge, open-ended project where students investigate a complex problem over several weeks. It’s a way to embed the practice students already need into a product with a purpose.

And sometimes that’s exactly what makes sense for the mathematics.

Students don’t always need another elaborate application or an enormous real-world problem. Sometimes they need ten carefully chosen problems, immediate feedback, and time to build fluency.

Other times, you can give that practice a different kind of purpose by connecting it to a design or product.

The important thing is knowing what students need and choosing an experience that supports it.

Ask yourself:

Is there practice my students need that could become part of something they’re creating?

If the answer is yes, you might have an opportunity to make the practice more engaging without sacrificing the repetition students need.

If the answer is no, that’s fine too. A project isn’t automatically better than a well-designed practice activity.

The goal is to choose intentionally.

Three Projects, Three Different Jobs

When I look at these three examples together, what stands out to me is how different their purposes are.

  • Election Data and Statistics: Students investigate with mathematics.
  • Pitch Profit: Students make a decision with mathematics.
  • Stained Glass Linear Equations: Students practice mathematics through a meaningful product.

All three are projects, but they create different learning experiences.

That’s why I don’t think we should talk about projects as though they’re one specific instructional strategy that has to look a certain way.

The better question isn’t simply, Should I do a project?

It’s:

What job does this project need to do?

  • Do students need to investigate something?
  • Do they need to apply mathematics to make a decision?
  • Do they need more practice with a skill they’re developing?

Sometimes, the answer is that they don’t need a project at all.

A discussion might be the better choice. A rich thinking task might be exactly what students need. Direct instruction and practice might be the most effective way to introduce a new concept.

I don’t want teachers adding projects just to say they’re doing PBL.

I want us choosing projects when they make the mathematics and the learning experience better.

Stop Looking for an Empty Week in Your Pacing Guide

If you’ve been waiting for the perfect opportunity to try a math project, I want you to consider a different approach.

Instead of searching your pacing guide for an empty week, look at what you’re already teaching.

Think about your upcoming standards. Consider the skills students need to develop, the concepts they need to understand, and the opportunities they’ll have to apply their learning.

Then ask yourself three questions:

  • Could students investigate something with this mathematics?
  • Could they make a decision using this mathematics?
  • Could the practice they need become part of a meaningful product?

You don’t need to find an opportunity for all three. One might fit beautifully with your current unit, while another might not make sense until later in the year.

And you don’t need to redesign your entire curriculum to get started.

You can keep your instruction, your practice, and the routines and resources that are already working.

You’re simply looking for opportunities where a project can support the mathematics rather than compete with everything else you need to teach.

That’s a much more sustainable way to approach project-based learning.

You Don’t Have to Create Every Project From Scratch

I also want to acknowledge something that can make this feel overwhelming: designing a meaningful project takes thought and planning.

You have to identify the mathematical learning, determine what students will do with it, build the experience, and decide how you’ll support and assess their understanding.

That work matters, but it doesn’t mean you have to create every project yourself.

The three projects I’ve shared here are ones I’ve developed to create these kinds of experiences for my own students. They’re available in my Teachers Pay Teachers store if one aligns with what you’re teaching right now.

You can explore the Election Data and Statistics project, the Pitch Profit Systems of Equations project, and the Stained Glass Linear Equations project.

Use one of those, adapt an idea from another teacher, or create something that fits your students and your curriculum.

The point isn’t where the project comes from. It’s whether the experience serves the mathematics you’re teaching.

Give the Mathematics Somewhere to Go

I think this is the mindset shift that makes projects feel more manageable.

You don’t have to stop teaching your curriculum to make room for meaningful learning experiences. You can look for ways to build those experiences into the mathematics that’s already there.

Sometimes students need to investigate, make a decision, and practice within math, and you can give that practice a meaningful purpose.

And sometimes, a project isn’t the right choice.

That’s part of intentional instructional design too.

So, as you look at what you’re teaching next, consider this question:

What job does the mathematics I’m teaching right now need students to do?

Investigate? Decide? Practice?

Start there.

You might discover that the project you’ve been putting off doesn’t require a complete curriculum overhaul. It just requires a clear purpose and a thoughtful connection to the mathematics your students are already learning.

The goal isn’t more projects.

The goal is better learning experiences.

Until next time, keep it real.

 

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Hi, I'm Kristen!

I’m a long time math teacher who believes that all students can grow in their confidence and capabilities in the mathematics classroom when you take a modern approach.

I empower teachers to transform their classrooms using project-based learning, to see how real + relevant problems get real results!

Plan your first Project Today!