Numberless Graphs

Numberless Graphs are my jam. For those of you that are not familiar with Numberless Graphs, it is very similar to numberless word problems. Sometimes Numberless Graphs are called Slow Reveal Graphs. The goal is for students to discuss what they notice and wonder about the graph as well as what they think the graph might be about. You can provide a piece of information at a time and then students adjust/revise their conjectures.

There are many types of Numberless Graphs. Below I provided some examples.

Here’s Why They Are Great:

I’m drawn to these graphs because they revamp boring curriculum materials. It’s a great routine to add to your math block. With the standards, Data always seem to be lumped at the end of the school year. This mainly is because we feel other, harder topics should take precedence. However, if you ask mathematicians and even high school teachers, the lack of emphasis in Data is a problem.

You May Be Thinking “My Classroom Uses Data, So I’m Good”.

Sorry to be the one to tell you this. It’s a problem really dull. Here’s why at first Data is so much fun for students. You log your favorite candy. Yum! Or maybe your favorite season. After doing the same thing over and over, year after year, it becomes lifeless. Especially when you get to upper elementary, the Data is so dry.

Let’s Make It Fun!

Sure we can do the typical “what’s your favorite candy,” and lets graph it. But let’s dig deeper into data. These graphs make can be more engaging for students. How can we do that? Make them culturally relevant. And how do we do that? Let them have a choice in what these graphs could be about?

With numberless word problems, discourse is a significant component of problem-solving. Here’s where Numberless Graphs fits perfectly. It elicits discussion. We want students to make meaning of problems. And we want them to defend their thoughts.

Because it can be really open-ended, this activity naturally allows for differentiation. It can be a low floor, high ceiling tasks. Take a look at the example below. What are some possible student responses?

Now there is some structure to these graphs. You can add small pieces of information at a time to see if students adjust their thinking for solving the problem.

I would recommend, and I don’t see this as often is to have students write sentences to describe the data. Yes, discussions happen, but I think that written responses are another form of representation which is needed in interpreting data.

Incorporate a Numberless Graph in your math routine. Start with something small and lead up to something a little more complicated. In time you can put this in a center/station, and students can even create their own using manipulatives or drawings. Data can be boring if we let it be, so let’s breathe some life back into it.

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Math Struggles Ain’t Just About Numbers

Let’s be B.F.F.R—math can stress kids out. You’ve seen it: the frozen-in-place stare, the pencil tapping like it’s sending an SOS, or the classic “I CAN’T DO THIS!” meltdown before even trying. But here’s the thing—most of the time, their struggle isn’t about numbers. It’s about mindset.

What if we borrowed some life coaching techniques to help our students not just survive math but actually thrive in it? Let’s break it down into simple, practical ways you can empower your students without turning into a full-blown therapist.

 Reframe the Narrative (A.K.A. Flip the Script on “I’m Bad at Math”)

Ever notice how kids say “I’m bad at math” like it’s their official personality trait? That belief is holding them back more than any tricky word problem ever could.

How to Do It:

  • When a student says, “I suck at math,” respond with: “You’re still learning. Let’s find a way that makes sense to you.”
  • Introduce the Power of Yet: “You don’t get it… yet. But your brain is working on it!”
  • Share stories of people who struggled with math and overcame it (bonus points if you can find famous athletes, musicians, or influencers).

Remind them that they once thought tying their shoes was impossible, and look at them now—shoe-tying pros. Math is just another skill that takes practice.

Teach Emotional Regulation (Because Frustration Is a Math Blocker)

We can’t expect students to push through challenges if they’re spiraling into math-induced panic mode. When frustration kicks in, their brains hit the “I’m out!” button.

How to Do It:

  • Pause & Breathe: Before jumping to the “I CAN’T,” have students take a deep breath. Try “breathe in for 4, hold for 4, out for 4.” Simple, but it works.
  • Break It Down: Instead of tackling the whole problem at once, ask, “What’s one thing we DO know?” Small wins build confidence.
  • Normalize Struggle: Post a sign in your classroom: “Mistakes Mean You’re Learning.” Say it. Live it. Believe it! As Naruto says.

Set Micro-Goals (Because Big Goals Can Feel Overwhelming)

If a kid already feels lost, telling them “just keep practicing” is like saying, “just climb this mountain real quick.” Instead, break it into steps.

How to Do It:

  • Instead of “Get better at multiplication,” set a goal like: “Practice a doubling/halving strategy.”
  • Use progress charts so students can SEE their growth. 
  • Celebrate the small wins! Even if they only got one more right than last time—that’s growth!

Remind them “If you can memorize every single lyric to that TikTok song, you can 100% remember a few math strategies.” 
Honestly research shows long term memory is activated when we leverage different modalities in our lessons. It’s how the brain learns math.

Shift from Performance to Progress (Because Speed Ain’t Everything)

Fluency is about thinking efficiently, not racing to the answer. The goal isn’t to turn kids into human calculators—it’s to help them use numbers flexibly.

How to Do It:

  • Replace timed tests with strategy-based challenges (ex: “How many ways can you solve 12 × 8?”).
  • Instead of praising fast answers, celebrate smart strategies: “Ooooh, I love how you broke that down!”
  • Remind them that even adults use tools like calculators and sticky notes—real math is about knowing how to approach problems, not just getting the answer instantly.

 Teach Self-Talk (Because Their Inner Voice Matters More Than You Know)

The way kids talk to themselves about math shapes their experience with it. If they constantly say, “I can’t do this,” their brain believes it. Time to switch up the self-talk game.

How to Do It:

  • Teach “I can” statements: Instead of “I don’t get it,” try “I don’t get it YET, but I can figure this out.”
  • Have students write down one math strength (even if it’s “I’m good at counting on my fingers” – that’s a start!).
  • Encourage students to talk to themselves like they’d talk to a friend. Would they tell a friend, “You’re dumb at math”? No? Then don’t say it to yourself either!

Emphasize- “You wouldn’t let your best friend talk trash about you, so don’t let your brain do it either!”

Coaching Math Mindsets for the Win

At the end of the day, teaching math fluency isn’t just about numbers—it’s about helping kids believe they can figure things out. When we shift from just teaching math to coaching their mindset, we create students who are not only fluent in math but confident in life.

So, here’s your challenge: What’s one small move you can try this week? Whether it’s shifting self-talk, celebrating small wins, or breaking down frustration, pick one and run with it.

Oh, and if you want more strategies like these, check out my Figuring Out Fluency series, (Book 1) (Book 2) where we make fluency engaging, empowering, and (most importantly) actually make sense.

And if you want more math mindset strategies, grab my Guide For Teachers To Help Students With Growth Mindset