Make it Parallel – An Activity with Parallel Lines

I find making the relationship among parallel lines and transversals real-world tough. So instead of real-world I went with Fake-World but making sure I incorporated space for curiosity and inquiry.

Here’s what we did…

I started class with a What do you wonder? What do you notice?


We recorded our wonderings. IMG_3327

Most students didn’t know what to say about it. Next I replayed the video and said, “I want you to yell NOW when the two white lines are parallel”

Kids were yelling out at about the same time……”Good, it’s awesome you guys can ball park when two lines are parallel”. Now Let’s create parallel lines.

I had already set up situations like this all over the hall, classroom, and outside. The prompt from me was “Create another line that cuts the transversal and is parallel to the first line. ” I also gave each group a set of pull back cars to “test out” their newly formed parallel lines…..We used them to show that the two cars won’t cross paths. Screen Shot 2015-05-26 at 11.58.44 AM

I let each group struggle with how to figure this out. I gave them all a metre stick, protractor, and markers/chalk.

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We had discussions on how we know the two lines are parallel. I pushed each group to develop the angle relationships around the transversal.

Once each group had made the new path, they were to grab their iPad and access the Explain Everything file on Parallel Lines & Transversals. They were to use the interactive features such as the protractor, and pen tools to determine the answers to the questions.

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Download the Explain Everything Files Now

That was out lesson on discovering properties of parallel lines and transversals. Feel free to drop me a message for any improvements/feedback!!

Check out more great Explain Everything activities:

Cathy Yenca (@mathycathy) – Using Explain Everything for Hands-On Digital Puzzles

Kyle Pearce (@mathletepearce) –

From me:

 

 

Trashketball – A Spiralled Lesson!

This was our multi-day, curriculum-spiralled, activity this week!

Day 1 – Filling the Bin!!

Let’s get curious!!…..I showed this video from Andrew Stadel, and took questions & wonderings:


We settled, (I chose) on the question on how many paper balls would fill a bin! They made predictions, too high, too low and right on!

They made paper balls and found their diameter. We agreed that each ball could be different so we recorded everyone’s diameter and averaged them to give the “average ball size”

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Proportion Explosion

Since we are spiralling the curriculum in grade 9 applied, my math task choice is getting very picky! I always want to uncover more that one expectation in a lesson/task! In this task we used volume of spheres, solving proportions, and properties of linear relations.

Act 1:

We took questions and wonderings and then settled on the problem of Let’s see that balloon explode and when is that going to happen?
We guessed and recorded the guesses on our whiteboard for future comparisons!

Act 2: What will we need!

There were good conversations on this piece! I’m always surprised by how much kids know! Someone asked for the rate of water!!!! Wowsers! I assumed I might have to dig to get them to ask for that one. They also wanted me to say how much a balloon will hold…..which is where I wanted to direct them first.

Info to give and record:

As always, I made them guess for it! After revealing 12 inches….we converted to centimeters. Next it was their turn to go ahead and find the volume of the balloon. I find it so valuable to have discussions on why use a sphere to model the volume? Will we be correct? Is it ok we’re wrong?

Volume of the sphere/balloon

Act 2: Rate of Water

 
This is where the kids got lost a bit! They weren’t sure how to use this part exactly after just finding the volume of the balloon.  I stepped in and used some direct instruction on how to set up the proportion. Handout prepared:

Handout

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Solutions

Act 3: The reveal

The extension is how we practiced solving a few proportions. We solved for the volume when the time was 10 seconds, 20 seconds, until kids saw the pattern.

10 seconds

10 seconds

After filling the table out, we found the first differences, discussed direct vs. partial linear relations!

Grab all the files to run in your class:

Dora to the Rescue

Next on Making Algebra Meaningful  – Dora to the Rescue!

Our goal is to tackle this beast from our expectations:

add and subtract polynomials involving the same variable up to degree three [e.g., (2x + 1) + (x^2 – 3x + 4)],using a variety of tools

and

multiply a polynomial by a monomial involving the same variable to give results up to degree three [e.g., (2x)(3x), 2x(x + 3)], using a variety of tools

Part 1 (Act 1) Being Curious

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