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Playlist: Math

What’s In My Brain: Pentagon vs Pentagon

What’s In My Brain: Pentagon vs Pentagon

We’re looking at regular vs irregular polygons.

Factors and Codes: First Names (Episode 2)

Factors and Codes: First Names (Episode 2)

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

Factors and Codes (Episode 1)

Factors and Codes (Episode 1)

Let’s use factors to encode and decode words.

Grouping Shapes by Parallel and Perpendicular Sides

Grouping Shapes by Parallel and Perpendicular Sides

Which shapes go together based on parallel and perpendicular lines?

Letters With Symmetry

Letters With Symmetry

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

Crossing Every Bridge Exactly Once (aka Eulerian Paths)

Crossing Every Bridge Exactly Once (aka Eulerian Paths)

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

Math Curiosity: Magic Triangles

Math Curiosity: Magic Triangles

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

The Heaviest Pumpkin

The Heaviest Pumpkin

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

Geometry Image: Esplanade Theaters

Geometry Image: Esplanade Theaters

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

Geometry Image: University Ave

Geometry Image: University Ave

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

Geometry Image: Victoria Conference Center

Geometry Image: Victoria Conference Center

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

How Many Will There Be? Chip Off The Block

How Many Will There Be? Chip Off The Block

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

Geometry Image: Skytree

Geometry Image: Skytree

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

How Many Will There Be? Earthworm

How Many Will There Be? Earthworm

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? Courtyard

How Many Will There Be? Courtyard

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? Checkerboard

How Many Will There Be? Checkerboard

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? Crosses

How Many Will There Be? Crosses

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

Geometry Image: Steigerwald

Geometry Image: Steigerwald

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

What’s the Pattern? Fraction Addition

What’s the Pattern? Fraction Addition

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

Investigating Population Changes

Investigating Population Changes

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

Olympics: Medals by Population

Olympics: Medals by Population

Do big countries always have the most medals? Which smaller countries rank surprisingly high in the Olympics?

How Many Will There Be? Pyramids

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

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

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

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

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

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?

Measurement: An Elephant

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

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?

Measurement: How Big is this Bathtub?

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

Addition: 3 Digits Plus 2 Digits (Multiple Solutions)

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)

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: Klauber’s Triangle

Math Curiosity: Klauber’s Triangle

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

Math Curiosity: Ulam Spiral

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!

Math Curiosity: A Pattern Packed Triangle

Math Curiosity: A Pattern Packed Triangle

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

Math Curiosity: Goldbach’s Conjecture

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!

Evens and Odds – Addition and Subtraction

Evens and Odds – Addition and Subtraction

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

Create Your Own Operation

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!

What If There Were No Hundreds Place?

What If There Were No Hundreds Place?

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?

Disneyland Parking Structure Math Project

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?

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.

What’s In My Brain: Trapezoids or Not?

What’s In My Brain: Trapezoids or Not?

Which are trapezoids and which are not?

How Many Ways: Times Equals Minus

How Many Ways: Times Equals Minus

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 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: 2 Digits ÷ 1 Digit = 1 Digit

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?

Writing A Story About Fraction Equivalence

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

Same Perimeter, Different Area For Rectangles

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

Undoing Multiplication With Division

Undoing Multiplication With Division

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!

Rounding Numbers (But Not To 10)

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: Magic 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!

Math Curiosity: The Coloring Problem

Math Curiosity: The Coloring Problem

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?

Why Is Our Calendar So Weird!?

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!

Place Value (Beyond Base 10)

Place Value (Beyond Base 10)

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?

The Angles of a Triangle

The Angles of a Triangle

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

Grouping Quadrilaterals In A Hierarchy

Grouping Quadrilaterals In A Hierarchy

Can we classify quadrilaterals like we classify living things?

Deducing the Area of Triangles

Deducing the Area of Triangles

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

Finding The Volume of Laptops

Finding The Volume of Laptops

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

Investigating Cost of Living

Investigating Cost of Living

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

Doubling Dollars

Doubling Dollars

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!

Fractals: Sierpinski’s Triangle

Fractals: Sierpinski’s Triangle

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

Fractals: Koch Snowflake

Fractals: Koch Snowflake

You could keep zooming in on this snowflake forever!

A Donut Investigation

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.

Math Curiosity: Waring’s Conjecture

Math Curiosity: Waring’s Conjecture

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

Math Curiosity: Primes and Squares

Math Curiosity: Primes and Squares

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

Math Curiosity: Legendre’s Conjecture

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

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

Math Curiosity: Twin Primes

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

Fraction Puzzlers: Add and Subtract Fractions To Reach A Number

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?

Exploring Circumference With Famous Circles

Exploring Circumference With Famous Circles

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

Analyze and Create Misleading Graphs

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?

How Many Students Can Fit On The Playground?

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

Math Curiosity: Palindromic Number Conjecture

Math Curiosity: Palindromic Number Conjecture

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

A Nutrition-Based Math Project

A Nutrition-Based Math Project

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

Furnishing A Hotel

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

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?

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?