Pumpkin+Explosion

 = [|Mr. Orr is a Geek.com] =
 * [|A Peek into my Classroom]
 * [|Math Before Bed]
 * [|3 Act Problems & Lessons]
 * [|180 Photos]
 * [|Virtual Filing Cabinet]
 * [|Presentations]

=MBF3C = = [|Pumpkin Time-Bomb Activity] = <span style="color: #bbbbbb; display: block; font-family: inherit; font-size: 19.5px; vertical-align: baseline;"> [|OCTOBER 24, 2015]  BY  [|JON ORR] [|Last year around this time] I shared out a [|Google Form for classes to record measurements] around their pumpkins and make them explode! I shared that form on Twitter so that we could crowd source as many pumpkins as we could to make the sample size large enough. I was pretty shocked at how many schools from North America took on Pumpkin Time-bomb. By the time Halloween was over the spreadsheet had over 90 entries. That’s over 90 pumpkins exploded in the name of math and data collection. This coming week let’s add to the data and use the it in our classroom to discuss: Scatterplots, Trends, Correlation strong, weak, no-correlation, lines of best fit, correlation coefficient, etc. Here’s a sample lesson you could use on the day you make your pumpkin explode.

<span style="color: #404040; font-family: Bitter,serif; font-size: 1.7143em; text-align: justify; vertical-align: baseline;">Generate Curiosity
Play this video which shows Jimmy placing rubber bands around his pumpkin.

How many rubber bands will make the pumpkin explode? Have students write down a guess that is too low. Too high. Then estimate their best guess. Show the Act 3 Video

Now Bring out your pumpkin for the class to see! Have them predict how many rubber bands it will take before it will explode. Repeat the estimation process. Have them save their guess till the end of class.

<span style="color: #404040; font-family: Bitter,serif; font-size: 1.7143em; vertical-align: baseline;">Making A Model
Throw out the question: “What measurements of the pumpkin changes how many rubber bands are used?” Let your students brainstorm a list of variables. Have a discussion on variables & relationships. Write all the variables on the board they come up with. Narrow down the list to items that are measurable with the pumpkin we have in the class. What affects the explosion the most? Height, diameter — circumference, thickness of the wall? Have them choose a variable that they feel should have a relationship with the number of rubber bands. Fill out the prediction part of the handout. Click here to grab a copy of the prediction handout As a class measure all variables needed. Write them on the board for all to see.

<span style="color: #404040; font-family: Bitter,serif; font-size: 1.7143em; vertical-align: baseline;">Analyzing Data
Give students the link to the spreadsheet of all the pumpkins to date (You should copy and paste the data to your own sheet so you can filter/sort the results and share that sheet out to your students.)

Discuss with your students the lack of consistency in the selection of rubber bands from all over the country. How can we minimize this variable skewing our results? Filter the data with your students(or before hand) showing one type of rubber band (Most common is a rubber band of length 8.65 cm). This will only show all the pumpkins that have been destroyed using that type of band.



Get your students to grab the data that relates to their relationship. For example:

If Kristen chose the relationship Circumference vs. Rubber bands she should copy and paste the circumference column and the rubber bands column into a new sheet side by side. Then copy and paste all that data into the [|pre-made Desmos File.]



She can adjust the scale in Desmos as needed. Have her move the ** movable point ** and drop it where she thinks your class’ pumpkin will lie. Or you can have her find the line of best fit to help predict how many rubber bands it will take. Either way we want her to predict with more accuracy. So Kristen would predict that if her circumference was 90.5 cm then it will take 272 rubber bands to blow up the pumpkin! Now if Kristen chose a variable that it was clear there is no relationship then you get to have a discussion about correlation vs. no correlation. Have her choose new variables to predict on. Once everyone in the class has a new prediction start wrapping bands around that pumpkin (You may want to start this as early as possible). Watch your pumpkin explode and give congratulations to the student who predicted closest to the actual number of rubber bands. Don’t forget to enter all your data to the sheet by filling out this form (you can also use the form to show the videos to the class). [Updated] – You can use this [|Desmos Activity Builder Activity to facilitate the lessson]. It includes only data for Diameter and Circumference. [Updated] – [|You can grab a copy of the spreadsheet to save in your Google Drive. From here you can modify.] <span style="display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;"><span style="background-color: #448ccb; color: #ffffff; font-family: Frutiger,'Frutiger Linotype',Univers,Calibri,'Gill Sans','Gill Sans MT','Myriad Pro',Myriad,'DejaVu Sans Condensed','Liberation Sans','Nimbus Sans L',Tahoma,Geneva,'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 1.6em; text-decoration: none; vertical-align: baseline;">[|Access The Form] <span style="display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;"><span style="background-color: #448ccb; color: #ffffff; font-family: Frutiger,'Frutiger Linotype',Univers,Calibri,'Gill Sans','Gill Sans MT','Myriad Pro',Myriad,'DejaVu Sans Condensed','Liberation Sans','Nimbus Sans L',Tahoma,Geneva,'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 1.6em; text-decoration: none; vertical-align: baseline;">[|Access The Results/Data] From Oct 30. 2015

A few pumpkins from 2014 & 2015

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Share this:

 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Twitter
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Email
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Reddit
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Google
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Pinterest <span style="color: #ffffff; display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;">5
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Facebook
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Like this:
=<span style="color: #404040; font-family: Bitter,serif; font-size: 2em; vertical-align: baseline;"> [|Sneaking in Factoring] = <span style="color: #bbbbbb; display: block; font-family: inherit; font-size: 19.5px; vertical-align: baseline;"> [|SEPTEMBER 29, 2015]  BY  [|JON ORR] I started a series of new warm ups for my MPM2D class today. My goal is to sneak in factoring as warmups throughout the semester. By the time we need to learn it (like when we need to factor to solve equations) we will have mastered it already. I also previously snuck in [|multiplying binomials when we tackled quadratic patterns as Mary Bourassa did in her 2D class.] So today I gave them this slide and said I want you to solve a puzzle! They broke out their iPads and used the Algebra Tile app to put together the rectangle. The kids worked away and you could see them trying to put tiles in a way to make the rectangle



….and they soon found out that they had to fit a certain way!!

On take up we made sure everyone had either my rectangle or a rotated version. Then we did this one…..

After we were done I asked the class: “If the combination of squares and rectangles makes up the area, what are the dimensions of the rectangle?” They had a little bit of a hard time here, but finally could see the x + 4 and the x + 2 as the length and the width. I then wrote … And then I heard some “aaah”s. We had previously seen both versions of the quadratic expressions and discussed why the factored form helped us out quite a bit if we wanted to find the x-intercepts. We stopped there….It only took us 15 minutes. Tomorrow we will do a few more…..always writing the factored form after. I will also try to get students to notice efficient strategies to make the rectangles. Where I hope to go with these ** warm ups ** is to factor all types of trinomials: >  This time…..make a square >  … and get this…
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">Why did you put 4 x terms along the width and 2 x terms along the length?
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">How does that relate to the number of singles?
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">Perfect Squares
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">Trinomials of the Type ax^2 +bx + c

This time…make a square We’ll be definitely working our way out of the app and onto paper with area diagrams… Factoring Completing the square Completing the square I think working with these puzzles for the next few weeks first will give us a strong base when it’s time to factor to help solve equations and then complete the square. I think I’ll track all the warm ups we do like this and I’ll post them all!
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">Completing the square too!!!!

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Share this:

 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Twitter
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Email
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Reddit
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Google
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Pinterest <span style="color: #ffffff; display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;">6
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Facebook
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Like this:
=<span style="color: #404040; font-family: Bitter,serif; font-size: 2em; vertical-align: baseline;"> [|Speedy Squares] = <span style="color: #bbbbbb; display: block; font-family: inherit; font-size: 19.5px; vertical-align: baseline;"> [|MAY 12, 2015]  BY  [|JON ORR] Last week I attended the annual OAME (Ontario Association of Mathematics Educators) in Toronto. It was so great to finally meet some of the people I’ve been tweeting with. I was pumped to attend Mary Bourassa’s double session on great classroom activities. One of the activities that I’ve seen on her blog, but not used in my own classroom was Speedy Squares. So when I had an opportunity to try it, I jumped on it! > There is something special about doing the lessons yourself while learning about a lesson at a conference. <span style="color: #1c2022; display: block; font-family: Helvetica,Roboto,'Segoe UI',Calibri,sans-serif; font-size: 16px;"> [|View image on Twitter] > [| Follow] It's [|@MrOrr_geek] doing "speedy squares" at [|@MaryBourassa] 's session at [|#OAME2015] then modelling on [|@Desmos] > [|3:35 PM - 7 May 2015] · [|Toronto, Ontario]
 * [| 11 Retweet]
 * [| 22 likes]
 * [| 22 likes]

<span style="color: #404040; font-family: Bitter,serif; font-size: 1.5em; vertical-align: baseline;">Read about the lesson:
You can read about the lesson on her blog [| here part 1] and [|here part 2.] <span style="display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;"><span style="background-color: #448ccb; color: #ffffff; font-family: Frutiger,'Frutiger Linotype',Univers,Calibri,'Gill Sans','Gill Sans MT','Myriad Pro',Myriad,'DejaVu Sans Condensed','Liberation Sans','Nimbus Sans L',Tahoma,Geneva,'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 1.6em; text-decoration: none; vertical-align: baseline;">[|Download Now] ** The big question **: We want to determine how long it will take to build a 26 x 26 square out of link cubes.

<span style="color: #404040; font-family: Bitter,serif; font-size: 1.5em; vertical-align: baseline;">More Curious
While actively building the squares I had a great idea to make the introduction to the activity a little more curious! So when I got back to my classroom I broke out the cubes and created this….

Maybe before the time trials of building the squares, we can dive into generating questions and wonderings first. Now that we have generated questions….we can then move onto Mary’s awesome two day lesson. Once students have got an answer to how long they would take to build the 26 x 26 square, you could show the video of me building it! I’m really interested to see if elementary teachers can use this in their classes and what they come up with!
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">What is he making?
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">How many squares will he use?
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">How long will it take?

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Share this:

 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Twitter
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Email
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Reddit
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Google
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Pinterest
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Facebook
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Like this:
=<span style="color: #404040; font-family: Bitter,serif; font-size: 2em; vertical-align: baseline;"> [|Super Mario – Super Pear Deck] = <span style="color: #bbbbbb; display: block; font-family: inherit; font-size: 19.5px; vertical-align: baseline;"> [|FEBRUARY 9, 2015]  BY  [|JON ORR] One of my favourite 3 act math tasks is Super Mario from Nora Oswald. I’ll be teaching it a few times this semester and here is our plan…. Act 1: Show the video… Instead of showing right to the end we are going to pause it right here…. <span style="color: #333333; font-family: inherit; text-align: center; text-decoration: none; vertical-align: baseline;">[|Continue reading →]

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Share this:

 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Twitter
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Email
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Reddit
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Google
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Pinterest <span style="color: #ffffff; display: block; font-family: inherit; font-size: 10px; text-align: center; vertical-align: baseline;">99
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"><span style="color: #777777; font-family: 'Open Sans',sans-serif; font-size: 12px; text-decoration: none; vertical-align: baseline;">Facebook
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;">

<span style="color: #404040; font-family: Bitter,serif; font-size: 9pt; vertical-align: baseline;">Like this:
=<span style="color: #404040; font-family: Bitter,serif; font-size: 2em; vertical-align: baseline;">POSTS NAVIGATION = [| OLDER POSTS]     Search for: <span style="background-color: #34495e; color: #ffffff; font-family: 'Source Sans Pro',Arial,sans-serif; font-size: 21px; vertical-align: baseline;">     Jon Orr, Math teacher at John McGregor Secondary School in Chatham Ontario =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">GET NEW POSTS BY EMAIL = Enter your email address to subscribe to this blog like over 100 other educators and receive notifications of new posts by email. Email Address <span style="color: #34495e; font-family: 'Source Sans Pro',Arial,sans-serif; font-size: 21px; vertical-align: baseline;"> <span style="background-color: #2e3641; color: #ffffff; font-family: 'Source Sans Pro',Arial,sans-serif; font-size: 21px; vertical-align: baseline;"> =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">NEW STUFF = =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">RECENT COMMENTS = =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">TAGS = <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 21.3488pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|3Act] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|3U] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|algebra] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|badges] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Casino] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 11.5814pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Combinations] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 21.6744pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Desmos] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 12.8837pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Differentiated Instruction] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|edtech] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 12.8837pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|equations] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 16.4651pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|estimation] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 11.5814pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Exam] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 16.4651pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Explain Everything] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|exponential functions] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|featured] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 8pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Flowchart] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 11.5814pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|games] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 8pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Grade 12 Extra Resources] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 14.8372pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Homework] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 18.2558pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|inquiry] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 22pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|ipad] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 15.6512pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|iPads] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Knowledgehook] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 14.0233pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Lessons] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 16.4651pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|linear] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 15.6512pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Linear Systems] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Lines] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 11.5814pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Mpm1d] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|MPM2D] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 14.0233pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|mtbos] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 8pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Open Questioning] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Patterns] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 12.8837pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|PearDeck] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Permutations] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 8pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Probability] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 8pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Probability Distribution] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 20.2093pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Project] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 14.8372pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|reflection] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|review] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 15.6512pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|spiral] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|star wars] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Technology] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 9.95349pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|TI-NSpire] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 14.0233pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Twitter] <span style="background-color: #32465b; color: #1abc9c; font-family: inherit; font-size: 21.0233pt; text-align: center; text-decoration: none; vertical-align: baseline;">[|Video Lessons]     Multi-Touch book for iPad. Grab it now from the iBooks Store. iTunes U course: Curious Math - MFM1P Enroll Now! iTunes U course - Full course on Gr. 9 Math. Enroll now! Measurement (MFM1P) by Jon Orr     Linear Relations (MPM1D) - by Jon Orr =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">TOPICS = =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">AWESOMENESS! = =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">A FEW OF MY PAGES = =<span style="font-family: Bitter,serif; font-size: 21px; vertical-align: baseline;">PAST POSTS = Past Posts Select Month November 2016 October 2016  September 2016  June 2016  May 2016  March 2016  February 2016  January 2016  December 2015  November 2015  October 2015  September 2015  August 2015  June 2015  May 2015  April 2015  March 2015  February 2015  January 2015  December 2014  November 2014  October 2014  September 2014  July 2014  June 2014  May 2014  April 2014  February 2014  January 2014  December 2013  November 2013  October 2013  September 2013  June 2013  May 2013  April 2013  March 2013  February 2013  January 2013  December 2012  November 2012  October 2012  June 2012  May 2012  April 2012  March 2012  December 2011  October 2011  September 2011  May 2011  April 2011  March 2011  February 2011  January 2011  December 2010  November 2010  October 2010  September 2010  May 2010  April 2010  March 2010  February 2010  January 2010  December 2009  November 2009  October 2009  September 2009  August 2009  June 2009  May 2009  April 2009  March 2009  February 2009   <span style="color: #ffffff; display: block; font-family: inherit; font-size: 19.5px; text-align: center; vertical-align: baseline;"><span style="color: rgba(255,255,255,0.8); font-family: inherit; text-decoration: none; vertical-align: baseline;">[|Proudly powered by WordPress] | Theme: Story by <span style="color: rgba(255,255,255,0.8); font-family: inherit; text-decoration: none; vertical-align: baseline;">[|WebTuts].
 * <span style="font-family: inherit; font-family: inherit; text-align: center; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: #6b96bf; color: #1abc9c; font-family: fontello; font-size: 18px; text-decoration: none; vertical-align: baseline;">
 * <span style="font-family: inherit; font-family: inherit; text-align: center; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: #6b96bf; color: #1abc9c; font-family: fontello; font-size: 18px; text-decoration: none; vertical-align: baseline;">[|]
 * <span style="font-family: inherit; font-family: inherit; text-align: center; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: #6b96bf; color: #1abc9c; font-family: fontello; font-size: 18px; text-decoration: none; vertical-align: baseline;">[|]
 * <span style="font-family: inherit; font-family: inherit; text-align: center; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: #6b96bf; color: #1abc9c; font-family: fontello; font-size: 18px; text-decoration: none; vertical-align: baseline;">[|]
 * <span style="font-family: inherit; font-family: inherit; text-align: center; vertical-align: baseline; vertical-align: baseline;"><span style="background-color: #6b96bf; color: #1abc9c; font-family: fontello; font-size: 18px; text-decoration: none; vertical-align: baseline;">[|]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Puzzling Dimensions] November 24, 2016
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Animated Patterns Gallery Walk] November 18, 2016
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Favourite & Fix: Nov. 11] November 11, 2016
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> Claire Laverty on [|Puzzling Dimensions]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> Debbie Hartmann on [|Math Before Bed]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> Jon Orr on [|One Favourite, Two Fixes: Nov 5]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> Jon Orr on [|Flippity Flip, Bottle Flip!]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> Jon Orr on [|Double Clothesline – Solving Equations]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|3act Math] (27)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Assessment] (8)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Class Activities] (70)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|descriptive feedback] (4)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|desmos] (23)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Differenitated Instruction] (9)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|edtech] (17)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|engagement] (80)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Estimation] (12)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Games] (8)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Good Thing] (4)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Homework] (25)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|iPads] (33)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Linear Relations] (11)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Little Ones] (1)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MAP4C] (5)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MBF3C] (6)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MCF3M] (14)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|mcr3u] (9)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MCV4U] (5)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MDM4U] (22)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MEL3E] (25)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MFM1P] (28)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MHF4U] (22)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MPM1D] (30)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|MPM2D] (24)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Observations] (2)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Open Questioning] (2)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Reflection] (14)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Smartboard] (3)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Statistics Video] (1)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Technology] (37)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|TI-NSpire] (3)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Trigonometry] (7)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Uncategorized] (30)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Unit Resources] (18)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Videos] (42)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|warm ups] (8)
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Desmos]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Desmos Activity Bank]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Estimation180]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Google Sheet of Great Lessons]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Knowledgehook Gameshow]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Math Mistakes]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Solve Me Mobiles]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Teacher.Desmos.com]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Visual Patterns]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Which One Doesn't Belong]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Would You Rather]
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|180 Photos 2014/15] 1 photo for each school day
 * <span style="font-family: inherit; font-family: inherit; vertical-align: baseline; vertical-align: baseline;"> [|Presentations]