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Mathematical Practices

Arizona Math Standard: MP.2

Reason abstractly and quantitatively.

Adding and Subtracting Fruit
Adding and Subtracting Fruit
Use super cute fruit to introduce algebraic thinking to your young math students.
Gr 1, 2, 6
What’s In My Brain: Pentagon vs Pentagon
What’s In My Brain: Pentagon vs Pentagon
We’re looking at regular vs irregular polygons.
Gr 1-8
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?
Gr 2-4
Polar Weather Report
Polar Weather Report
The North Pole hits -40°. The South Pole hits -60°. Calculate the averages, graph the data, and deliver your polar weather report.
Gr 1, 2, 3, 6, 7
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?
Gr 3-8
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?
Gr 3-7
An Olympic Sized Pool and 2 Liter Bottles (Episode 1)
An Olympic Sized Pool and 2 Liter Bottles (Episode 1)
How many 2 liter bottles could you fill up using the water in an olympic-sized pool?
Gr 3-8
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.
Gr 2-6
Special Gifts with Special Requirements
Special Gifts with Special Requirements
Your special friends sure have some unique gift needs!
Gr 1-8
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?
Gr 1, 2, 3, 6, 7, 8
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.
Gr 2-4
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.
Gr 2-5
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.
Gr 1-5
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?
Gr 1-6
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?
Gr 3-8
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.
Gr 3-8
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?
Gr 3-8
Measurement: How Old Is Mr. Byrd?
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!
Gr 3-8
How Many Will There Be? Triangles Within Triangles
How Many Will There Be? Triangles Within Triangles
A triangle splits and splits and splits again. How many will there be in step 20?
Gr 1-4
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!
Gr 2, 3, 4, 5, 7, 8
Exponents – How Low Can They Go?
Exponents – How Low Can They Go?
Using exponent patterns, can students predict what the 0th power will be?
Gr 3, 4, 5, 6, 8
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!
Gr 3-6
Lines, Line Segments,  Rays, and Infinity!
Lines, Line Segments, Rays, and Infinity!
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.
Gr 1, 4
Deducing the Area of Triangles
Deducing the Area of Triangles
Using patterns, students try to deduce where that area formula came from.
Gr 1, 2, 3, 4, 6, 7
Analyzing Movies’ Success
Analyzing Movies’ Success
So should we make another movie in this series?
Gr 1, 2, 3, 5, 6, 8
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?
Gr 2-8
Math Curiosity: Odds & Squares
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
Gr 1, 2, 3, 4, 6
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?
Gr 2, 4, 5, 6, 7, 8
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.
Gr 1, 2, 3, 4, 6, 7
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?
Gr 1-5
A Caffeine Investigation – Part 3
A Caffeine Investigation – Part 3
Caffeine is everywhere. But what are the ads really saying? Analyze the claims, then create your own public service announcement.
Gr 2-8
A Caffeine Investigation – Part 1
A Caffeine Investigation – Part 1
So… just how much caffeine can you have before you end up in the ER?
Gr 1, 2, 3, 6, 7
Math Curiosity: Primes and Squares
Math Curiosity: Primes and Squares
Can any perfect square be written as the sum of two primes?
Gr 1, 2, 3, 4, 5, 6, 8
What Do Mean and Median Mean?
What Do Mean and Median Mean?
When will mean and median give us different results?
Gr 6-7
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!?
Gr 3, 4, 5, 6, 8
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!
Gr 1, 2, 3, 4, 6
Percents and Credit Cards
Percents and Credit Cards
Let’s buy something expensive with a credit card and then make only the minumum payments!
Gr 2, 4, 5, 6, 7
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.
Gr 1-6
A Nutrition-Based Math Project
A Nutrition-Based Math Project
Let’s create a parody ad attacking a surprisingly calorie-rich meal.
Gr 3, 4, 6, 7, 8
Math Curiosity: Collatz Conjecture
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…
Gr 1-6
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.
Gr 2, 3, 4, 5, 7
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?
Gr 2-7