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Back to School Math Worksheets

Back to School Math Worksheets

In these math problems, the solution is already given. But another number is missing!

Holiday Emoji Story ⛷️

Holiday Emoji Story ⛷️

Five emoji. One story. Where will your imagination take you?

Student Introductions With Depth, Complexity, and Frames: Level Two

Student Introductions With Depth, Complexity, and Frames: Level Two

Once students know the prompts of Depth and Complexity, let’s take them much higher up Bloom’s Taxonomy.

Factors and Codes (Episode 1)

Factors and Codes (Episode 1)

Let’s use factors to encode and decode words.

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?

Parts of Speech Party: Introduction (Check)

Parts of Speech Party: Introduction (Check)

How many ways can we use “check” in a paragraph? And can your students spot when it’s a verb, or a noun, or an adjective?

Words Within Words: CRANBERRY

Words Within Words: CRANBERRY

How many words can you find within “cranberry”?

An Olympic Sized Pool and Jet Fuel (Episode 3)

An Olympic Sized Pool and Jet Fuel (Episode 3)

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

An Olympic Sized Pool and Lots of Pasta (Episode 2)

An Olympic Sized Pool and Lots of Pasta (Episode 2)

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

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.

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?

Drawing An Impossible Triangle

Drawing An Impossible Triangle

Here’s how you can draw The Penrose Triangle, an example of an impossible shape.

Drawing Knots, Level 2

Drawing Knots, Level 2

How to draw a more complex version of this twisty Henri Matisse knot!

Drawing Knots, Level 1

Drawing Knots, Level 1

How to draw a simple version of this twisty Henri Matisse knot!

Notice, Wonder: Krzywy Las

Notice, Wonder: Krzywy Las

A mysterious image. Reveal it slowly. Let your students wonder!

Looping Grid Art

Looping Grid Art

Pick a few numbers, draw some corresponding lines on grid paper, and you’ll end up with some interesting, looping math-y art!

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? 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.

A Lunar Survival Mission

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?

Game: Number Scrabble

Game: Number Scrabble

What if we played Tic-Tac-Toe with numbers and instead of three-in-a-row, we add up to 15? Well… then we’d have Number Scrabble!

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.

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.

Generalization: Change Leads to More Change

Generalization: Change Leads to More Change

Can you think of a time in your life when “Change lead to more change?”

Generalization: Problems Lead to New Rules, Which Lead to New Problems

Generalization: Problems Lead to New Rules, Which Lead to New Problems

Problems create rules. Rules create new problems. Can you trace the cycle in history, stories, and your own life?

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!

The Tournament of Biomes

The Tournament of Biomes

Want to move beyond memorizing the characteristics of biomes? In this lesson, students work through a Tournament of Biomes, explaining which biome wins in each round (based on criteria you choose). In the end, they crown a 👑 Champion Biome!

Fraction Ordering Tournament

Fraction Ordering Tournament

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

Game: Order and Chaos

Game: Order and Chaos

Imagine Tic-Tac-Toe if both players could play as both Xs and Os!

Upgrade Research Questions With Depth and Complexity

Upgrade Research Questions With Depth and Complexity

Ever ask students to create research questions? Were their ideas a bit… blah? My own students had a very hard time writing questions they didn’t already know the answer to! This video is how I solved that problem: upgrade research questions with depth and complexity.

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!

Student Introductions with Complexity and Frames

Student Introductions with Complexity and Frames

How have you changed over time? Students introduce themselves through the lens of change — and learn a Depth and Complexity tool in the process.

Student Introductions With Depth and Frames

Student Introductions With Depth and Frames

Want to introduce the tools of Depth and Complexity and learn more about your students and introduce the Frame graphic organizer? Have I got the activity for you!

Math Curiosity: Four Squares

Math Curiosity: Four Squares

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

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?

Deducing the Area of Triangles

Deducing the Area of Triangles

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

Building Creative Analogies

Building Creative Analogies

We’ll take two seemingly unrelated pieces of content (say volcanoes and the human body) and then build analogies to connect the two ideas. In the end, students can create a skit, comic, or story relating the two concepts.

What Does it Cost to Fill a Car with Other Liquids

What Does it Cost to Fill a Car with Other Liquids

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

What Do Mean and Median Mean?

What Do Mean and Median Mean?

When will mean and median give us different results?

Depth and Complexity: 🏛️ Big Idea

Depth and Complexity: 🏛️ Big Idea

Let’s get students thinking big and focusing on more abstract ideas.

Depth and Complexity: Patterns

Depth and Complexity: Patterns

Can your students spot anything that repeats? Or that has stopped repeating?

Percents and Credit Cards

Percents and Credit Cards

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

Create A Creature

Create A Creature

Create a new creature based on the adaptations of existing creatures from the same biome.

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.

The Game of 100

The Game of 100

Who can get to 100 first in this simple, but delightful, math game?

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?