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!

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.

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

No video gets me more email from students! How few colors can you use to color in *any* map so that no two, neighboring regions are the same color?

Imagine a 3×3 square in which every row, column, *and* diagonal have the same sum. *That's* a magic square!

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.

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.

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.

Place value is something we cover in elementary school. It seems simple, but I'd wager that very few adults *really* understand the topic. I sure didn't until I worked with non-base-10 number systems in college. Your students can get a taste of this mind-boggling experience by imagining what it would be like if *we didn't have the number 9.* What would each digit represent then?

Once students understand the order of operations, they often just get stuck doing increasingly *difficult* practice problems. That's a sure-fire way to squelch learning, though. Here, students determine where to place parentheses to make the greatest change in an expression.

You only have six digits to form three fractions. Can you combine them to get to 0?

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?*

Part 1 of Factors and Codes

Let's use factors to encode and decode words.

Multiplication and division, natural foes, are constantly seeking to undo each other. Students will attempt to reverse the effects of multiplication by dividing once, twice, or even *thrice!*

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!

Say you have a dollar. Say you can double that dollar each day: $1, $2, $4, and so on. How long will it take to reach… **one million dollars**? Not as long as you might think!

Imagine a world with no hundreds place. We'd have to call it *ten tens* instead. But then, what would we call the thousands place? How would we read 9999? What if we added *one more?*

Can two rectangles have the same perimeter but… *different areas!?*

Ready for a tricky counting and divisibility game?

Which set of fractions would be the *trickiest* to order from least to greatest? Let's have a tournament!

When we're adding and subtracting, do evens make odds into evens? Do odds make evens odd? Which one has… *more power!?*

You could keep zooming in on this snowflake *forever!*

What if this triangle pattern just kept repeating… *forever!?*

How has the volume of laptops changed over time? You *know* you want to check out how huge those first versions were!

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.

Using this *one weird trick*, it seems that you can turn any number into a palindrome!

Would you save money if you lived in Las Vegas and *commuted every day* to San Francisco?

So… just how many kids could we cram onto the playground?

What does it *look like* to multiply fractions?

Your special friends sure have some unique gift needs!

Let's make some *intentionally bad graphs* to learn how to spot poorly made graphs.

Can we classify quadrilaterals like we classify living things?

Before teaching students the procedure for multiplying with decimals, how much can they intuitively glean from a structured play session with calculators?

The commutative and associative properties are a *whole lot* more interesting when you apply them to a mathematical operation that you created!

In this math project, students will design and furnish suites and rooms in a hotel. Then they will use their talents to sell their hotel in a presentation.

Pascal's pattern-packed triangle is a potent puzzle for pupils to ponder.

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?

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*?

Pi is mysterious and strange! Why not let students discover it on their own?

How many different ways can you make this math statement true using only the digits one through nine?

Is gas *actually* that expensive? What if we filled a car up with… orange juice?

Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!

How can you cross each bridge in this city exactly once?

Have you ever wondered what it looks like to divide by a fraction, *man?*

How many different ways can you make this math statement true using only the digits one through nine?

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

Why tell a kid the rules of a triangle when they can *discover them!?*

Why does the sum of the first 5 odds also equal 5 squared?

Let's create a parody ad attacking a surprisingly calorie-rich meal.

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.

How heavy is the world's heaviest pumpkin when measured in Mr. Byrds?

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?

Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.

So should we make another movie in this series?

When will mean and median give us different results?

So… just how much caffeine can you have before you end up in the ER?

Let's find how the diameter and circumference of famous circles are related.

Let's buy something *expensive* with a credit card and then make only the minumum payments!

How many different ways can you make this math statement true using only the digits one through nine?

Using patterns, students try to deduce *where* that area formula came from.

The Collatz Conjecture: start with any number and get to 1 using just two rules. It *seems* to always work…

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.

In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.

How long would it take to mow a very large lawn with a push-mower?

There can *never* be just one angle.

Using exponent patterns, can students predict what the 0th power will be?

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!*

*Every* positive integer can be written as the sum of (at most) four perfect squares!

Can *any* perfect square be written as the sum of two primes?

What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!

Can your students figure out how to add fractions by looking for a pattern?

So, if I told you a bathtub holds 640 of water, which unit would make the most sense?

Which country has a great balance between their summer and winter Olympic medals?

What if you set the stage for students to discover how to multiply fractions?

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.

These flowers sure are getting bigger faster! How large will they be in step 10? What about *step 50?*

Can any even number be written as the sum of two primes? Goldbach thought so, but we haven't proven it… *yet!*

Part 2 of Factors and Codes

Scrambled up somewhere in 161,000 is a first name. Can you find it!?

How have the ages of three countries' populations changed from 1950 to 2020? And what problems might that create?

A lesson about lines, line segments, and rays that avoids dull memorization. Instead, we ponder this delightful question: **Which is longer, a ray or a line?** Then, kids consider what these different geometric concepts would think about each other.

What do you call two prime numbers who are *very* close together?

Can you make each side of this triangle add up to 9 using the digits 1-6?

Let's group letters by their symmetry, then create symmetrical words, and then *symmetrical sentences!*

How many different ways can you make this fraction subtraction statement true using only the digits one through nine?

A triangle splits and splits and splits again. How many will there be in step 20?

Sure, the US has *a whole lotta medals*! But do smaller countries have more medals per capita?

How many different ways can you make this fraction addition statement true using only the digits one through nine?

What do people know about the amount of caffeine in common beverages?

What's the deal with these four sided polygons?

Students work with negative numbers to create their Polar Weather Report.

Part 1 of Olympic Pool Equivalence

How many 2 liter bottles could you fill up using the water in an olympic-sized pool?

Students will be working with examples and non-examples to deduce the topic of regular polygons.

So, can you write every odd (greater than 3) as the sum of three primes?

Students will analyze advertisements about caffeine and create a public service announcement to communicate their findings.

Part 3 of Olympic Pool Equivalence

How many times could you fill up a jet plane using the fuel that would fit in an olympic-sized pool?

It seems like there's always a prime number between two perfect squares... *but is this always the case!?*

Part 2 of Olympic Pool Equivalence

How many pounds of pasta could you cook using the water in an olympic-sized pool?

How many different ways can you make this fraction multiplication statement true using only the digits one through nine?

How many different ways can you make this fraction multiplication statement true using only the digits one through nine?

What odd and interesting shapes can your students find in this geometric image?

Which shapes go together based on parallel and perpendicular lines?

How many different ways can you make this fraction division statement true using only the digits one through nine?

What odd and interesting shapes can your students find in this geometric image?

What odd and interesting shapes can your students find in this geometric image?

What odd and interesting shapes can your students find in this geometric image?

How many different ways can you make this fraction division math statement true using only the digits one through nine?

What odd and interesting shapes can your students find in this geometric image?