Playlist: Bookmarks
The Heaviest Pumpkin
How heavy is the world’s heaviest pumpkin when measured in Mr. Byrds?
A Halloween Costume Gone Wrong
Let’s go roller skating in a Halloween costume! What could possibly go wrong?
Random Emoji Prompt Generator
Click up an interesting, visual writing prompt suitable for any grade or purpose.
Washington, DC – Mixed Up Paragraph
These sentences about Washington, DC got scrambled. Can you put them back in order using nothing but context clues?
How Many Will There Be? Pyramids
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Sliced Circles
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Xs and Os
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Desks
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Stairs
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Flowers
These flowers sure are getting bigger faster! How large will they be in step 10? What about step 50?
A Lunar Survival Mission
A favorite of mine! This task is delightfully complex and ambiguous, forcing students to make choices without enough information and with no right answer. How will they survive on the moon for three days?
Developing Questions that Prompt Thinking in Math
For TeachersMath is a particularly tricky subject for asking higher-level questions. Here are a couple of techniques I’ve used to prompt students to think, not merely calculate.
Fractions: Decompose and Recompose
What if we took a fraction apart, then took those pieces apart, then recombined them, and then recombined those, arriving back to the original fraction?
Thinking With Art: Head Down
One artist, two paintings. Notice details, compare, synthesize, then find a parallel in another creator’s work.
Measurement: An Elephant
What if I told you that an elephant weighed a back-breaking 176,000? Could you figure out the unit I’m using? But… how many corgis would that be?
Measurement: A Long Movie
What if I told you a movie was a whopping 0.017 long? Could you figure out the unit I’m using? This lesson packs in strange measurements of time as well as tiny decimals.
Measurement: How Big is this Bathtub?
So, if I told you a bathtub holds 640 of water, which unit would make the most sense?
Measurement: How Old Is Mr. Byrd?
What if I told you that I’m 341,640 old? Could you figure out what unit I’m using? Hint: it’s not years!
Addition: 3 Digits Plus 2 Digits (Multiple Solutions)
Typical practice problems don’t move students up Bloom’s Taxonomy. With this framework, you’ll see kids stop and really think about how to approach multi-digit addition.
Subtraction: 3 Digits Minus 2 Digits (Multiple Solutions)
Typical practice problems don’t move students up Bloom’s Taxonomy. With this framework, you’ll see kids stop and really think about how to approach multi-digit subtraction.
Math Curiosity: Ulam Spiral
What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!
Remixing A Holiday Poem
Let’s take a classic Christmas poem and remix it to work with another holiday!
Characters Dressed as Other Characters for Halloween
What if one character dressed up as another for Halloween? Would the Cat in the Hat pick Captain Jack Sparrow, because they’re both chaotic yet good-natured people? Would Elsa dress up as The Ice King since they are both lonely?
Math Curiosity: Goldbach’s Conjecture
Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!
Create Your Own Operation
The commutative and associative properties are a whole lot more interesting when you apply them to a mathematical operation that you created!
SCAMPER: Scaffolding Creativity
Asking students to “think creatively” won’t get you far. They won’t know how to start, they’ll get stuck with simple ideas, or they’ll just go completely wild. SCAMPER is a tool for scaffolding the process of creativity.
Writing Seuss Style Poetry
Sure, Dr. Seuss wrote for young students, but can older students analyze his writing and learn to mimic his style? THEN, they can produce Seuss-style poetry about any topic: Ancient China, the electromagnetic spectrum, Pride and Prejudice, and (yes) fraction division!
Disneyland Parking Structure Math Project
Your students will use estimation strategies to figure out how many parking spots are there in the parking structure at Disneyland? And you bet I reveal the real answer!
Numerator or Denominator: Which has more power in a fraction?
What do you do with students who already get their fraction operations? Give them a contrived project about recipes or pizza slices? Make them solve annoyingly hard practice problems? Please. Here, we get students thinking in a whole new way, pondering which has more power, the numerator or denominator.
How Many Ways: Fraction Equivalence
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: Times Equals Times
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: Order of Operations 1
How many different ways can you make this math statement true using only the digits one through nine?
How Many Ways: 2 Digits ÷ 1 Digit = 1 Digit
How many different ways can you make this math statement true using only the digits one through nine?
Fraction Ordering Tournament
Which set of fractions would be the trickiest to order from least to greatest? Let’s have a tournament!
Writing A Story About Fraction Equivalence
When fractions take on a new denominator, it’s as if they’re wearing a disguise – same value, new look. So let’s write a story about fraction equivalence starring a fraction who needs to fit in with a new group.
Same Perimeter, Different Area For Rectangles
Can two rectangles have the same perimeter but… different areas!?
Intersecting Angles and Streets
There can never be just one angle.
Rounding Numbers (But Not To 10)
What could we possibly do to make rounding more interesting for students who already get it? In this series, students consider how they might round to values other than “the nearest 10.” How, for example, do we round to the nearest 9? 7? 15?
Math Curiosity: Four Squares
Every positive integer can be written as the sum of (at most) four perfect squares!
Math Curiosity: Magic Squares
Imagine a 3×3 square in which every row, column, and diagonal have the same sum. That’s a magic square!
Why Is Our Calendar So Weird!?
Why are there 12 months? Why don’t weeks fit into months evenly? Why don’t weeks fit into the year evenly? What’s going on with the calendar!
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
Fractals: Sierpinski’s Triangle
What if this triangle pattern just kept repeating… forever!?
A Donut Investigation
In this cross-curricular investigation, students will look into an intriguing question: do donuts or salads have more sugar? They’ll grapple with misleading information, bias, and use their math skills to create a visual representation of sugar in popular foods.
Create A Civilization: Calendars
Why 12 months? Why 30ish days? Why 7 days in a week? Your civilization could organize a year in any way you want!
Math Curiosity: Waring’s Conjecture
So, can you write every odd (greater than 3) as the sum of three primes?
Math Curiosity: Legendre’s Conjecture
It seems like there’s always a prime number between two perfect squares… but is this always the case!?
Math Curiosity: Finding Primes
Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!
Math Curiosity: Twin Primes
What do you call two prime numbers who are very close together?
Visualizing Fraction Multiplication
What does it look like to multiply fractions?
Fraction Puzzlers: Add and Subtract Fractions To Reach A Number
You only have six digits to form three fractions. Can you combine them to get to 0?
A Visual Guide To Dividing By Fractions
Have you ever wondered what it looks like to divide by a fraction, man?
Exploring Circumference With Famous Circles
Let’s find how the diameter and circumference of famous circles are related.
Analyze and Create Misleading Graphs
Let’s make some intentionally bad graphs to learn how to spot poorly made graphs.
How Many Students Can Fit On The Playground?
So… just how many kids could we cram onto the playground?
Math Curiosity: Palindromic Number Conjecture
Using this one weird trick, it seems that you can turn any number into a palindrome!
Greekymon
Rather than just memorizing word parts, students will use those word parts to create four possible products.
A Nutrition-Based Math Project
Let’s create a parody ad attacking a surprisingly calorie-rich meal.
The Game of 100
Who can get to 100 first in this simple, but delightful, math game?
Furnishing A Hotel
Design and furnish hotel rooms on a budget. Real math, real constraints, real decisions. Then pitch your hotel to investors.
A Grid-Based Fraction Project
You’ve got 60 spaces on a grid to create an amusement park, a house, a farm, or whatever you’d like. Divide it into seven pieces, order it by size, combine into two halves, and more in this fraction project.
Math Project: What If I Bought Apple Stock Instead?
What if you had an original iPod and sold it compared to if you had bought the equivalent amount of Apple stock and sold that?
Greek and Latin Dinosaur Names
Let’s create a new dinosaur using Greek and Latin stems!