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To Differentiate: High Ceilings and Low Floors

When you’re planning a task for a wide range of students, the terms “floor” and “ceiling” are easy mental shortcuts to increase the range of success for all kids.

* I believe the “high ceiling, low floor” phrase comes from Jo Boaler, but I heard about it via Dan Meyer.

The Floor

The floor tells us how easy it is to get going with the task. A low floor means it’s easy for everyone to get on board.

Tic-Tac-Toe is an example of a game with a low floor. It’s easy to understand and even the youngest of kids can start playing pretty quickly. A low floor is inviting.

Chess has a high floor – evidenced by how many college-educated adults I’ve met who cannot play. Chess’s floor appears so high that they just never got going. A high floor is a barrier.

We want tasks with low floors so many students can get started easily.

high floor If the floor’s too high, some kids can’t get started. They get frustrated.

The Ceiling

The ceiling is the potential room for a task to grow. If it strikes a fancy for a particular student, how far can a kid go before they hit the ceiling?

Tic-Tac-Toe has a very low ceiling. It’s too easy to master. Play anyone with even a basic level of skill and you’ll end up with a tie. Tic-Tac-Toe has a low floor and a low ceiling — the board game equivalent of a worksheet.

Chess has a very high ceiling. You could play for a lifetime and still learn more. With its high floor and high ceiling, Chess is rewarding, but only for the most determined of board gamers.

We want a high ceiling – it gives students room to explore an idea before getting bored.

Low Ceiling

Lowering Floors

Here’s where we come in. A skilled teacher can lower the floor of any task. We do this all the time through modeling, guided practice, scaffolding, feedback, and proximity.

To lower the floor for chess, you’d use these classic scaffolding tools:

  • Modeling: you’d show how each piece moves – not just verbally explain it. You’d play a few sample turns. You’d give students a chance to watch the magic happen.
  • Guided Practice: you’d give kids a chance to practice with each other and with your input. Don’t jump right into a full game, practice a couple moves with a partner.
  • Start Simple: you’d try to reduce the complexity early. Start with simple examples. In the case of chess, there’s no reason you can’t play with just a king, a queen, and a couple of pawns on a smaller board. Then, once the student “gets it,” bring in the rook. Build towards the full game.
  • Proximity and Immediate Feedback: if you give kids a chessboard and then go sit at your desk, they’ll get confused, frustrated, and give up. When you stay close to correct mistakes, give advice, and gently guide the players, the chances for success increase.

A highly complex game like chess can be scaffolded so that any learner can begin playing. Then we can raise the complexity until they’re eventually playing the full game.

This is also true for complex tasks in the classroom.

Low Floor AND High Ceiling

High ceiling, low floor

It should be our goal to develop tasks that all students can get started with, but that also scale up for students who are ready for more. This is the easiest way to create a task that can work for everyone.

My friend Lisa has a fantastic piece of differentiation advice:

Plan for your highest-ability students first, then figure out how to onboard your other learners.

Why? Because it’s really hard to increase the ceiling on a worksheet. It’s much easier to lower the floor on, say, a research project. You can always scaffold down (this is what teachers are good at!) – but you can’t always raise the ceiling.

“More” Doesn’t Cut It

No matter how many times you play Tic-Tac-Toe, it doesn’t raise the ceiling. It doesn’t get more interesting, it doesn’t increase the strategy. In fact, it’s some form of hell to be forced to play Tic-Tac-Toe over and over after you’ve already mastered it!

More math problems won’t raise the ceiling nor will another worksheet. Writing vocabulary words ten times isn’t any more complex than writing them one time. It’s just more.

Aiming for a low floor and high ceiling supports all students. Plus, it gives even low-performing kids a chance to go somewhere interesting. You’ll never know who will take advantage of that high ceiling.

When we offer a high ceiling to all of our students, we open the door for unexpected students to go further than we might have expected. Just as Steph Curry’s incredible three-point shooting made it possible for the entire league to get better at shooting threes, aiming high for our gifted students can benefit their classmates.

What To Look For

👎 Low Floor but Low Ceiling 👍 Low Floor and High Ceiling
one answer many right answers, including answers you’ve never seen before
one, already-known way of getting the answer many ways of getting to an answer, including pathways you’ve never thought of
kids who are good at it can go really fast and get 100% (leaving you with “early finishers“) kids who are good at it can keep going deeper
no need to ask for or check an explanation the explanation is the most interesting part
a robot can check it an intelligent human needs to see it
you’re bored when you’re checking this task for the 5th year you’re interested to “see what this class came up with”

And with High Ceiling, but High Floor (👎): your kids will struggle to even know how to get started.

Really, the simplest way to sum this up is to check: am I asking students to think or merely remember?

Examples of Low Floor, High Ceiling

Is the floor still too high for you to create your own ideas? Not sure where to even start? I’ll lower the floor (😉) by providing more specific examples below:

  • Problems where you can tell kids, “Find me three more ways of doing it” or “Find 15 different answers.” Here’s an article on this.
  • Write divergent – not just convergent – questions.
  • Create inductive learning experiences in which students form Big Ideas given a bunch of concrete Details.
  • The examples at Which One Doesn’t Belong? are perfect for this.
  • Here’s my favorite example of giving kids a task with both a high ceiling and a low floor. We simply ask them what would X think about Y?. Bonus: it takes like 3 seconds to plan.
  • And, if you subscribe to Byrdseed.TV, there are literally hundreds of pre-planned High Ceiling, Low Floor lessons that are ready for you to use directly with students.

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More about Complexity vs Skill
  1. To Show Or Not To Show Work In Math
  2. Is a Task Boring, Relaxing, Challenging, or Stressful?
  3. Complexity Is A Good Thing
  4. Bad Behavior or Lack of Complexity?
  5. Small Groups Aren’t Just For Struggling Students
There are even more articles about Complexity vs Skill →

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Please contact me with questions or comments at: ian@byrdseed.com

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