**Ratio, proportion, percent**

#### Value of a lifetime of Whoppers?

Locked in a smelly bathroom for one hour and then promised a lifetime of Whopper meals, an Oregon man sued ...

#### Should I get the Big One?

Let your students decide if the BIG one is a fair deal. Click on the pic to enlarge and post ...

#### Losing team in the playoffs, 2015

Hey, the playoffs are about to begin. The best teams from the leagues compete to determine the champion. Must be some ...

#### Glowing rectangles

People spend lots of time staring at their screens (glowing rectangles). Kids spend hours each day using their cell phones, ...

#### Cheesy Goldfish crackers

In this activity students do a little comparison shopping as they determine which size Goldfish product is the best deal. Students are ...

#### Justin Verlander’s hugely exp...

Check out Justin Verlander's luncheon bill. What do you notice? What do you wonder? Students might be interested in or ...

#### How fast can you run?

In preparation for the Boston Marathon, we thought that an analysis of running speeds might be appropriate.Have you heard of ...

#### Big bucks

Mike Trout just signed a huge contract. He'll be receiving $430 million dollars playing for 12 years with the Los ...

**Data and probability**

#### Games with dice

Time to let students become naturally curious about probability. In this activity students work in teams to record the frequency of rolled dice combinations. They observe the difference between experimental and theoretical outcomes and consider how ...

#### What does 95% confidence in the poll results mean?

There were polls about who would win the Presidential election. Now there are polls about approval ratings for Congress and President Trump. You can see the latest poll results here. I get so confused when ...

#### Pixar versus DreamWorks

Animated films are a billion dollar industry. The two biggest producers of animated films are DreamWorks and Pixar. The two have been going head to head for more than ten years now. So how do ...

#### 3 winners on the Price is Right – what are the chances?

Act One: Show this clip of the recent Price is Right program. What questions do your students have? We were wondering what the chances are of 3 contestants in a row, each spinning $1.00, and ...

#### Can I get your order just right?

You can order a ton of combos at Chipotle. They advertise that there are 65,000 ways to order their meals. Do you think that is correct? ...

#### Extra point or 2-point conversion – Updated

In 2015 the NFL changed the extra point kick distance to 33 yards and now teams have a tough decision to make, go for one or two points? The one point extra point is ...

#### What’s your favorite sport?

What is your favorite sport? Wait, do I mean your favorite sport to play or your favorite sport to watch? Does it matter? Are your favorite to-watch sport and your favorite to-play sport the same ...

#### Pascal’s Triangle coloring and Probability

Working with Pascal's Triangle offers some interesting and varied mathematics. We love to color and the end results are prettier than most math homeworks. Here is the second of 3 activities using Pascal's coloring. Pascal's ...

**Elementary grade activities**

#### Someone ate my cake!

In this fraction operation and representation activity, students are asked to decide how much of my cake was eaten. Using ...

#### Is my son going to win … again?

My son's pretty young but is he still going to whoop me? We were playing Monopoly Junior. Can you decide ...

#### Impress your parents at dinner

This activity is the first in our series on mental math tricks. Let your students develop their own individual way ...

#### Pick-a-brick wall at the Lego store

There are walls at the Lego stores that are filled with individual Lego parts. You can fill a bucket and ...

#### But it didn’t sell?

A&W offered a bigger, tastier burger but it didn't succeed in grabbing customers away from the hugely popular McDonald's ...

#### How many cars are there?

I came home from work to find that my son had his cars organized in a tight parking lot on ...

#### Legos

Act One: The world record for the tallest structure made of Legos was recently set in Seoul, South Korea. Check ...

#### Drill bit fractions

Act One: Drill bits are measured by the diameter of the bit in inches. The drill bits below are ordered ...

*Posts with a wow factor!*

#### How Many Donuts is That?

Act One: Take a look at the picture. What is the first question that comes to mind? How many donuts is that? What information would be useful? Act Two: See pictures below. Your students can ...

#### Willy Makit and Betty Wont

I have to go to the bathroom pretty badly. I have to admit that I have been holding it in for a while. Finally! I see a bathroom sign! Wait ... it is in kilometers? ...

#### Another year of Never Ending Pasta

On September 15, 2016, Olive Garden again offered a $100 pass for never-ending pasta, bread sticks, salad and coca cola soft drinks. The 21,000 patrons who quickly (in less than a minute) bought all of ...

#### Chili Con Queso

Act 1: Take a look at the promo at Moe's. What is the first question that comes to mind? How much does a 42-gallon jug of Chili Con Queso cost? How many cups or bowls of ...

#### BIG Snickers bar

Wow! This snickers bar is huge! Act 1 - Big question = How many times bigger than a regular Snickers bar is this? What info would you like to know? How are you going to judge ...

#### $10,000 a week or $10 million all a...

Check out the video below: Would you rather have $10,000 a week or $10 million all at once? What kinds of things do we need to think about or factor in when making this decision? ...

#### How much pee is in this pool?

After chlorination, it has been hard to measure the quantity of pollutants in pool water. A Canadian chemist, Xing-Fang Li, has found a marker for urine that chlorine doesn't disguise. In this activity, students calculate volume ...

#### This must be a huge beach towel!

Act One: Check out this beach towel! What do you wonder? What would you like to know? Miami artist, Misael Soto (pictured on the left below), created this giant art project to make a statement about people ...

**Artful Math**

#### Wheel of Theodorus

Bring a little art into your math class as you begin to use the Pythagorean theorem and your students first meet irrational numbers ...

#### Fibonacci coloring

Let your students simply enjoy coloring our designs or artistically play with the whole creation of Φ designs. Simply coloring our Fibonacci patterns might allow students to ponder the Fibonacci sequence (while they learn more ...

#### Hexadecimal coloring

Probably most of us have heard of and even used hexadecimal color codes. Don't you wonder why their number descriptions really make sense? In this activity we first ask students to color in our Golden ...

#### Pascal coloring and modular math

This is the third and final activity in the Pascal's Triangle series. In this activity students again have the opportunity to color as they investigate Pascal's triangle and the patterns that it shows. The activity ...

#### Coloring with Pascal’s Triangle … Bino...

Working with Pascal's Triangle offers some interesting and varied mathematics. We love to color and the end result is pretty! Here is the first of 3 activities using Pascal's coloring. This Binomial expansion activity could ...

#### Pythagorean Triples and coloring

Pythagorean triples are not only handy for students to recognize but produce some interesting and lovely patterns. We've combined a little coloring with our Pythagorean Triple pattern investigation to let your students relax while they ...

#### Pascal’s Triangle coloring and Probability

Working with Pascal's Triangle offers some interesting and varied mathematics. We love to color and the end results are prettier than most math homeworks. Here is the second of 3 activities using Pascal's coloring. Pascal's ...

#### Spiraling squares – compass and straight edg...

Can you see the many spirals in this design? Students calculate the size of each increasing round of squares and consider what sort of spirals these must be. The activity: SpiralingSquares.pdf Working with a little ...

**Number sense**

#### Bits, bytes, and nibbles

Clicking on the image will show it larger. I'm not very good at understanding how large my device capacities are and how big the files that I want to download are in comparison. I decided ...

#### Canstruction

Act One: Take a look at the pic. What questions come to mind? Just before Thanksgiving there is an annual demonstration at the Winter Palace in the World Financial Center of New York City. ...

#### What me? Irrational?

We've found that some students believe that the approximation that their calculators show for irrational numbers is exact. Here's an activity that you can advertise as long multiplication review. After they study our calculations have ...

#### Weather extremes

This year has brought torrential rains to Texas after years of severe draught. February was the coldest month ever in much of the midwest and Northeast US. Pakistan and India have experienced extreme and deadly heat ...

#### How much did the temperature change...

It's been a crazy winter of extremes through much of the United States. Here's an article, from the February 17, 2016 Boston Globe Newspaper by Matt Rochereau, with the degree swing whited out. Have your ...

#### Cruising

There have been a lot of cruise ship mishaps and disasters this year. While these are in the news, let your students consider how these floating cities manage their resources and which of their needs ...

#### Consumer spending 2018

Consumers in the U.S. spend a lot of money. In this activity we look at historical data to see if there are any patterns in our spending. How does our holiday spending show up in ...

#### Lunar New Year 2019 – Year of...

Year of the Earth pig Lunar New Year begins on Tuesday, February 5th. This will be the year of the Earth Pig. The year name is a combination of 10 Heavenly Stems and 12 Earthly ...

**Weather**

#### Tornadoes 2019

Tornadoes have devastated the Midwest, U.S. in the last few days. Alabama, Texas, Louisiana, Oklahoma, Ohio, Missouri, Iowa, Nebraska and Mississippi have been brutally hit with these powerful events. Involve your students in a better ...

#### California earthquakes and the Rich...

After a July 4th 6.4 magnitude earthquake, California experienced 7.1 magnitude quake two days later. Many more quakes and aftershocks are expected. The IRIS (Incorporated Research Institute of Seismology) Seismic Monitor will allow your class to visualize the ...

#### Geometry of Flooding

In 2010, March was so rainy that flooding was the topic of every newscast and many, many conversations. The picture shows how students went home from school in Wayland Mass. on March 31st - on a Duckboat ...

#### How much did the temperature change...

It's been a crazy winter of extremes through much of the United States. Here's an article, from the February 17, 2016 Boston Globe Newspaper by Matt Rochereau, with the degree swing whited out. Have your ...

#### Wind chill

When the weather person talks about wind chill did you ever wonder how they calculate that number? In this activity students use the National Weather System chart to gauge wind chill, examine the patterns that ...

#### Alarming ice cracks on Brunt Ice Sh...

A new, fast-growing ice crack is forcing the Halley VI British research station in Antarctica (shown above) to be moved. Fear of a huge break-off from the ice sheet is alarming not just to the scientists ...

#### Hurricanes 2019

The official Atlantic hurricane season started on June 1 and doesn’t end until November 30th. Now Hurricane Dorian is approaching the East Coast. Encourage your students to join the conversation, knowledgeably, by using our activity. Students read ...

**Two variable relationships (linear, exponential etc)**

#### When will he use up his chocolate m...

Brian's son buys chocolate milk every few days to go with his lunch. His school creates an invoice that they send to parents every month that show the status of his milk account. Brian put ...

#### Thank you, mother and father, for a...

Thank you Mother and Father for all of those diapers - Which is a better deal, cloth or disposable diapers? How much did you cost your parents in diapers? In the future how much could your ...

#### Opening Weekend – Avengers: E...

Just updated! Can you tell from its opening weekend how much the new movie, Avengers: Endgame, might earn in theaters? This activity can be used anytime and is especially timely when there is a new ...

#### Movie tickets over time

How Much Will Movie Tickets Cost in the Future? - Updated! In this investigation, Brian looks at the changes in movie ticket prices over the last 38 years. Using his scatter plot (or his data) students analyze ...

#### How much should you spend on this s...

This activity can be used in a large range of grade levels. Your class can work on percents, linear equations or piecewise functions. Act One: We missed the semi-annual sale but we want to get ready ...

#### Negative Exponents? Ugh

This activity/post is a little different than are usual posts. We look at a particular math concept and consider how to use context, models and CCSS math practices to increase student understanding. This activity focuses ...

#### Getting a new iPhone – which ...

I want to get an iPhone8 and maybe change my service plan. Which of the above plans should I choose? Student pick one plan and consider the cost of the phone and plan over time. They make ...

#### How Much is a Tweet Worth?

These days it seems everyone is on social media. Are you? Famous athletes and entertainers are on social media and they can make a lot of money. In this activity students study how the number of ...

**Expressions, equation and systems of equations**

#### Who had the greatest NBA season ever?

Updated for 2019! In 2017 Russel Westbrook had one of the most dominating seasons ever, averaging a trip!e double per game. James Harden lit up the league in 2018 and is considered the favorite for ...

#### Wind chill

When the weather person talks about wind chill did you ever wonder how they calculate that number? In this activity students use the National Weather System chart to gauge wind chill, examine the patterns that ...

#### Fantasy Football

In the midst of another NFL season, we introduce students to Fantasy Football. Students first calculate football points given touchdowns, yardage gains and interceptions. They are then challenged to generalize an equation that gives a ...

#### Souvenirs and concessions

Brian has introduced systems of equations with easy, motivating problems that deal with the cost of stadium purchases for food or souvenirs. These systems of equations puzzles are so intuitive that very little support will ...

#### How much do the tickets cost?

Ooops! I was supposed to buy 4 adult and 2 children tickets, but I accidentally entered four children and two adults ... 🙂 Can you figure out how much a child's ticket and an adult ...

#### Cost of light bulbs – updated!

There's a lot of misinformation out there about the cost to consumers of CFL and LED bulbs and the savings in energy and money that could be realized. Let your students "do the math" and ...

#### Should I replace my toilets?

I'm trying to be more savy about wasting our resources. I have really old fashioned toilets and I'm trying to figure out if I should invest in saving water. Can you help me? The activity: ...

#### How long until they collide?

Show the beginning of the video. Stop the video at about 39 seconds. Take guesses from students. After students have worked for a while and you have traveled around and selected some students and their work ...

**Geometry**

#### Watson saves

Just announced! Ben Watson is coming back to the Patriots!Ben Watson played for the Patriots at the beginning of his career. Then he joined the Cleveland Browns, the New Orleans Saints, and the Baltimore Ravens ...

#### Wheel of Theodorus

Bring a little art into your math class as you begin to use the Pythagorean theorem and your students first meet irrational numbers ...

#### What’s my angle?

I'm going to help save the planet by adding solar panels to my roof! Should I tilt the panels on my roof to more accurately aim towards the Sun? If so, at what angle should ...

#### Chocolate heart-shaped raspberry cake

Students calculate base area or volume of cakes made from 2 cake pan sizes and observe how the volume of the cake changes with the increased pan size. This is an activity intended to demonstrate ...

#### How many times bigger?

Listen to students initial thoughts as they wrestle through what "bigger" means ... length? height? wheel-base? volume? ...

#### Pythagorean Theorem

Use this activity to help your students discover the Pythagorean theorem. Pythagorean theorem work is often skill and drill work with contrived right triangle problems. In this activity students work with a visual representation of ...

#### Big Air snowboarding

Graphic generously supplied by GraphicNews.com Starting February 18th a new Olympic sport will be televised ... Big Air Snowboarding. Some of your students may be officianados of snowboarding. Using this activity could be an opportunity ...

#### Wrapping presents on the diagonal

In this activity students determine if this method for minimizing wrapping paper is actually more efficient then the traditional method. For a hands on learning experiment, have students actually wrap a small rectangular prism using ...

**Summary posts**

#### Chocolate everything – Yum!

Just before Mother's Day we thought a lot of chocolate play might be timely. Big Snickers bar - 3-act task; ...

#### Back to school activities

Who's going back to school? - Students calculate the historical changes in U.S. population percentages of people who are going back ...

#### Earth Day – 12 possible activities

Monday, April 22nd is Earth Day - There is so much to bring to your classroom to support recycling, conserving resources, studying climate ...

#### Passover and Easter are almost here

6 activities! Peeps - Students estimate the number of Peeps sold each Easter season. They consider reasonability by making guesses they think ...

#### Valentine’s Day (11 possibilities)

Parametric graphing, heart area, chocolate volume, making a heart-shaped cake, pie charts of holiday candy sales, how many cans in ...

#### Martin Luther King, Jr. (4 activities)

Data on the National Mall sites - Two data analysis activities about the National Mall. Who do we honor? - What people ...

#### Winter and holiday posts (16 great activities)

Winter Solstice - Students appreciate how their latitude effects the darkness of their late afternoon location as they study the earth's ...

#### Thanksgiving, football, Black Friday, and giving

Not enough mashed potatoes - Use Brian's famous mashed potatoes recipe to practice changing decimals to fractions; calculating ingredient measure ...

#### Movies and the upcoming Oscars

Eleven activities! Do the the movies that are nominated for the Best Picture at the Academy Award make the most ...

#### Cold and Snowy activities

How much snow is that? - How many inches of snow produced that pile? How much snow in volume is on top ...

#### Halloween ideas (13 tasks)

One more - Operation Gratitude - Halloween Candy Buy Back - Dentists often offer $1.00 per pound for non-opened Halloween ...

#### How hard is it to find a 4-leaf clover? + more Saint Patrick’s Day activities

Shamrocks in Ireland are actually be 3-leafed white clover, trifolium repens. If you are lucky, you can sometimes find a ...