In this task students explore changing areas and patterns of numbers. It is a low floor high ceiling task that can be used with many grade levels. The question posed is : what is the biggest fence that can be made out of 36 pieces of fence?

Maybe some of you recall from childhood, discovering a set of 6 little cardboard cards filled with numbers that came as a prize in a Cracker Jack Box? I clearly remember the day I got this prize. I was fascinated that it always worked, playing it over and over again with anyone who would engage me. I carried the cards with me everywhere and eventually they ended up wet mush after spinning through the washing machine in the pocket of my pants. Decades later they were reintroduced into my life. It was Christmas day in London and everyone was excited about Òcrackers.Ó I didnÕt understand the excitement until Jo explained that it was a little game between two people where the winner got a prize Ð not food. Guess what prize I won? The 6 cards were back in my life!

This activity provides students an opportunity to go through the data cycle process focusing on a statistical investigative question based on something students would like to learn about themselves. In our day-to-day experiences we are surrounded by variability and this activity provides students an opportunity to formulate a question that can be answered with data, as they collect, consider, and analyze the data and then interpret and communicate their findings. We are thankful for Giorgia Lupi and Stefanie Posavec who shared their Dear Data journey with the world.

Games provide a fun environment for supporting children in building number fluency. As children learn to play the games, speed should not be the focus. Encourage strategy and ask students to explain their thinking.

Students will use technology to explore products and the patterns as they complete charts.

This activity allows students to explore how numbers are composed, by having them look at different ways of grouping them. There are many different strategies and methods students can use to come up with a solution. Students can use actual pennies, draw diagrams, and use charts to keep track of their findings. As students explore they will notice many different patterns in the numbers they are exploring.

It seems that taxis have been a part of my life for years. When I was a teacher and academic in London I would see the iconic Black cabs zipping around the streets of London, and I would occasionally travel in them. It was years later when these Black cabs became important again, as some of the first evidence on the plasticity of brains Ð even adult brains Ð came from studying the brains of drivers of Black cabs in London (see video link below). Researchers found that after their intensive spatial training the brains of the drivers of Black cabs strengthened and grew. Years later I was teaching my freshman class when I met Tessa, who proposed this taxi activity for youcubed.