## Hot Coffee

Solving Problems With Volume of a Cylinder and Proportional Reasoning Dan Meyer's Hot Coffee 3 act math task is my favourite task to use in order to give us a reason to find the volume of a cylinder. Dan has a great summary of this task here, so I'll just quickly preview what you'll get when you head to his resource page. Please note that all material below was shared by Dan Meyer via a Creative Commons CC BY-NC 3.0 License from his site located here. Act 1, Scene 1 - Introduce the Problem Show students this video. https://youtu.be/hhLIGsO-ksw What is going on in the video? What questions come to mind? What are you wondering? The question we are going to head towards is: How many gallons of coffee will fit in...

## We Can Teach By Talking, But Are They Listening?

A few weeks back, I was reading a book called Teaching Minds (Kindle/Hardcover/Paperback or Audible Audiobook) by Roger Schank and really enjoyed it. As a Professor Emeritus at Northwestern University after his faculty experience at Stanford and then Yale, he is known for the quote: There are only two things wrong with the education system - What we teach; and, How we teach it. When I read great books on education, learning, or motivation, I will tweet out quotes that I may want to go back to at a later date. Today, during my grade 9 applied math lesson, I was immediately brought back to the following quote from Teaching Minds: "Once you move to teaching large groups of 10 or more students, you must...

## Guessing Gumballs Sequel

Real World Applications of 3D Measurement Proportional Reasoning With Volume of a Cylinder and Sphere In this 3 act math task, students will extend the proportional reasoning and 3D-measurement skills used in the previous task, Guessing Gumballs, to determine whether the gumballs from the short and wide jar will fit into the tall and thin jar. The learning goals for this task include: calculating the volume of a cylinder and applying their knowledge; calculating the volume of a sphere and applying their knowledge; applying their knowledge of proportional reasoning to solve problems. Act 1: Introduce The Problem Show students the following video or this photo: http://youtu.be/MVzm6TCHeAY Ask students to ...

## Guessing Gumballs

Real World Applications of 3D Measurement Proportional Reasoning With Volume of a Cylinder and Sphere In this 3 act math task, students sharpen their proportional reasoning and 3D-measurement skills as they try to determine how many packages of gumballs as well as how many gumballs (individually) will it take to fill the cylindrical jar. The learning goals for this task include: calculating the volume of a cylinder and applying their knowledge; calculating the volume of a sphere and applying their knowledge; applying their knowledge of proportional reasoning to solve problems. Act 1, Scene 1: Introduce The Problem Show students the following video or this photo: http://youtu.be/J7PSzzut3e8 Ask students ...

## Visualizing the Volume of a Cylinder Formula

Visually Understanding Area of a Circle and Volume of a Cylinder Over the past year, I have been on a mission to try and make some of the formulas we use in the intermediate math courses in Ontario (Middle School for our friends in the U.S.). I think it can be difficult for math teachers to explain where formulas come from because we often think of deriving formulas algebraically. Unfortunately, for our younger students, this might be more harmful than helpful. Specifically, this semester I am teaching MFM1P Grade 9 Applied Math where many of these students come into high school with a sour taste of mathematics in their mouths. Yesterday, we looked at Volume of a Cylinder and began with Dan Meyer's Hot Coffee 3 Act Math Task ...