Better Questions – Two Truths & One Lie

During these last few days of class we have been completing problem after problem to prepare for our exams. I wanted to start class off with a different question than “What problems should we take up?”

I’ve used and played the game Two Truths and One Lie as an ice breaker before (first read about it in Marian Small & Amy Lin’s book More Good Questions)  and it popped into my head when I read this weeks blog post from ExploreMTBos.wordpress.com. Having students develop two truths and one lie about a math concept seemed super intriguing. The openness of this task made me eager to see what they would come up with. It would give my huge insight to what they know and what we would need to work on too.

This image was waiting for my 10th grade class when they came in.

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They worked in pairs as a team to develop the truths and lie. I overheard great discussions on what should be considered truth and how to choose a lie. I loved the variety of what they chose. No two groups had the same.

Here is one:

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After writing their statements on a sticky note they were to trade stickies with another group and identify which statements were true and which was the lie. This was the best part! They were competitive. I overheard groups saying “prove it” or “show why that’s true”. They were demanding each other to see work and evidence. They weren’t accepting guesses! The vocabulary was amazing too. Afterward I had them all write their truths and lies up on the board. We went through each statement discussing the strategies needed to verify.

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I also ran the same activity in my 12th grade Advanced Functions class. Here was their function: Screen Shot 2016-01-25 at 2.34.42 PM

and their stickies:

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Afterward I asked the class what we could do to make the activity better. Here are some suggestions I’ll try next time.

  • A point should be awarded for getting the two truths and a lie correct and not for “stumping” another group.
  • Each group should get their own function to create statements for. Then in each match the opposing team would have to verify everything. Lots of practice and lots more variety.
  • We ended up giving a point to groups who found errors in another groups statements.

Also thinking of putting a question like this on my next assessment/test. Have the student write and indicate which is the truth and which is the lie. Or give 3 statements and have them generate a graph or equation where two statements are true and the other is a lie.

If you have any other suggestions on how to change/modify this activity I’d love to hear about them.

Continue reading about 4 Ways To Use Two Truths & One Lie in ANY Math Class

#MTBOS — Career Changing Community

The Exploring the MathTwitterBlogosphere Blog is gearing up for its blogging initiative starting in January. I signed up to be a mentor because I wanted to help out this amazing community of educators the way it helped me over the last few years.
Following this weird #MTBOS hashtag on twitter has changed my teaching practice in so many ways. The people are amazing and always willing to share a lesson or strategy or a desmos graph!!!

Through the hashtag I’ve collaborated on a few lessons with people from across the continent….Last year Michael Fenton and I worked on a Go Fish game for Trig Identities….and we debriefed with each other after each giving the lesson! That collaboration I find hard to do even just in my school or district!

I found it absolutely amazing when J.J. Martinez (Whom I’ve never met — but seems awesome) sent me a video showing his class’ reaction to revealing the answer to a task I created and shared.

Everyday I find amazing resources and connect with people through this community. I can’t believe I used to teach without the #MTBOS.

I found blogging and posting pictures of our classroom activities helped me keep focus on making everyday count for my students.
Here was my first post on starting my 180 Photos/Tweets routine..If you’re not sure what to blog about I would start that way. Just share a picture daily of what you’re doing in your room on Twitter. The blog ideas will follow!

Another post if you’re just starting on the #MTBOS and looking for lessons, resources or blogs is “Let’s Find A Good Math Lesson Online with #MTBOS.” I thought it was worthwhile to share the tech/organization side of finding and keeping good lessons/resources.

So head on over to the Exploring the MathTwitterBlogoSphere site and read their tasks, and keep reading the #MTBOS!

Boat in a River – Airplane version

Take a moment … What do you notice? What do you wonder?

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Click to enlarge.

What could we do with this? Where could we go?

I saw this video today

It’s this video that made me think of creating the problem stated above. Did you notice in the original picture that the distances were the same? But the travel times were different? What was the speed of the plane? What was the speed of the wind?

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Click to enlarge.

I then thought of these problems…

A super common problem we see in our Grade 10 Academic course here in Ontario. The first airplane problem and this motor boat problem have no real difference but opening up the problem by asking “What do you notice? What do you wonder?” allows us as a class to narrow down to the problem together. It allows us as a class to discuss why the flight times are different. The class feels like they had a hand in coming up with the math for the day.

See also Dan Meyer’s Boat in a River problem — it’s a beauty.

Angular Velocity, Trig Whips & Elmo

The #MTBOS is an amazing group of dedicated generous teachers!! This lesson came together because teachers are happily sharing what they are doing!

Generating Curiosity!

Dan Meyer has a series of blog post on Developing the Question you need to read. In one example he uses this video below to spark student wonder and start a fight. I copied his plan on how to use the video to generate discussion on speed.
Show this video

Pause the video before the bike is revealed and have students wonder “What is going on here?, What could the dots be?” Let the video play and then ask them to rank the dots from fastest to slowest. This is where wonder will happen. Are dots B and C moving at the same speed? What do we mean by speed anyway? Enter angular velocity vs. linear velocity.
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An Example for Linear Velocity vs. Angular Velocity

Show them this video obviously fake but fun video to generate some discussion.

Main Question we looked at together:How fast is the top swimmer moving when he hits the water? How fast is his angle changing? Before we calculate any of these we’ll go and experience the difference between the two.

Experience the Change

Bob Lochel has a great activity called Trig Whips where in groups of 4 students will experience the difference between angular velocity and linear velocity. Read about it!
A few pics and videos of our class Trig Whipping!

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Whole Class
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Consolidate

We came back in and summarized our findings from Bob’s handout. We made it clear that everyone had the same angular velocity but we all had different linear velocities. We turned our attention back to the diver video and determined the angular velocity and linear velocity of the top diver.

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That’s where class ended! Tomorrow we’ll start off with….

Andrew Stadel’s Elmo Problem!

See all the resources from Andrew here
Tomorrow we’ll find Elmo’s ending position after the 1 minute, angular velocity and linear velocity.