Minnie’s Juice Cup [3actMath]

Here is a 3-Act Math problem I’ve been working on. My first unit in the fall is measurement and I wanted something to do with volume.

Minnie’s Juice Cup!

Act 1:

Question: How many juice boxes will fit in the cup?

Act 2:

Make them guess for each of these measurements.

Minnie'sCup

 

I am open to suggestions on how to handle the two different diameters. I tried averaging them and came up with a pretty accurate answer.

JuiceBox-DImension

 

Act 3:

 

R2D2 – Post-It Note Art!

I loved Nathan Kraft’s Van Gogh Post-It Note art on his windows. If you haven’t seen it…check it out.

I wanted to do something similar for a while now (like @mr_stadel’s File Cabinet Problem) and found some time now that school is over! Following Nathan Kraft’s instructions with Excel I created my own Geek Art…

Screen Shot 2014-06-25 at 4.40.10 PM

Grabbed some Post-Its and got to work…..I also created a time lapse video so I can make a 3 Act math problem for my students (Coming soon!).

IMG_2395

 
Info for 3 acts
Each Post-It is 2″ by 1.5″
The board measures 42″ by 43.5″
I actually used 609 Post-Its!!

2014 Pictures

This morning I read a blog post from Jonathan Claydon on 180 blog posts. I’ve learned lots of class/math ideas this year from reading 180 blogs and I loved his ideas on 180 days of pictures. My goal next year is to start posting 1 pic for each day. It would be a great thing to show the students at the end of the semester too!

here are a few pictures from this semester.

Commit & Crumple!

Saw this activity in a book I picked up at the NCTM conference a few years back (Philadelphia).

20140613-215822-79102641.jpg

This book has been great for engaging activities in math….here is the one we did today:

Commit & Crumple
We are reviewing for our exam and I wanted to review average rates of change and instantaneous rates of change. I wanted to see what they remembered…and also how they remembered the graphical representation of rates of change.
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Game of Risk

Recently read a blog post of a review game …. Risk from Angie (@aeakland) . I love review games instead of just textbook questions…..so i adapted this game to be played in my MHF4U Advanced Functions class.

Here are the rules….

  • In teams, each team starts with 100 points. Write your points and names on the board.
  • Complete any of the Risk Questions in any order. (They are just the Review questions from the textbook).
  • For each question: After coming up with a solution, wager any or all of your points.
    • If you are correct – - add the points to your total!!! Yay!
    • If you are incorrect — subtract that many points from your total. Boo!
  • The top three teams with the most points were eligible to enter the draw at the end for the prize!!!

photo 4-2

Great things about the game…

Kids were cheering – when getting the problems right!……that doesn’t happen when just working on review problems from the book.

Kids were self /peer assessing their work — by betting they were deciding how confident they were on their work! They took their time, and thought about their answers making sense!

Kids were doing math!

The winning team won their choice of a geek sticker!

photonew

The Internet in Real Time

Love this info graphic…..posting it here to remind myself about creating a math lesson around this. Lots of possibilities. Let me know if you have one?

So far… “Pick a stat, show how it’s changing with respect to time in a graph, equation, table”.


Click the animation to open the full version (via PennyStocks.la).


Click the image to open the interactive version (via PennyStocks.la).

Explain Everything….more than a screen recorder

I’ve been loving the app Explain Everything more and more! Yes it’s great because when students record their work it forces them to think more about language and ideas than they are used to. I like that! That is what drew me to the app in the first place. But I’ve been loving it even more….. I’ve been using it lately NOT to record work. I’ve been using it to deliver content to students in a new way. We can use the app as a sort of enhanced digital workspace! Here is an example: 20140523-111859-40739536.jpg

Click the picture to download the Explain Everything file

I created this for my lesson on periodic functions. Here is why this is awesome……

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Corner to Corner – 3 Act Lesson

I was recently in a cross panel learning team meeting and we were discussing open questions/problems to give our students. A fellow teacher, Marcus, gave the following problem to his class:

Find the distance from one corner of the box to the opposite diagonal corner.

Using this idea, along with the learning team’s focus on getting students to estimate before solving problems [as a way to engage all our students] I created the following 3Act math lesson. (thanks Dan Meyer for the tips)

Act 1- Corner to Corner
Give your students the weird little video.

Ask students What do you wonder? Or What would you like to know? Or What questions do you have?
Take the questions from students (all of them, write them on the board).

If the question: How long is the string? does not come out from them, pose it to them and say you would like to solve that one first!

Ask them to guess the length of the string, record guesses on the board.

Ask students to discuss with a partner and then share with you what information they would need to find the distance.

After they ask for the dimensions of the room share with them (one at a time) these pictures.

Screen Shot 2014-05-16 at 2.07.44 PM

 

 

Screen Shot 2014-05-16 at 2.07.57 PM

 

Screen Shot 2014-05-16 at 2.08.10 PM

After each picture get the students to guess the lengths….then reveal the values. This part will be engaging for all! Hopefully they cheer or boo when after you reveal the lengths.

and the reveal……

String---Width

 

Classroomlength

 

classroom-height

 

Once the lengths are revealed, either discuss or teach the Pythagorean Theorem. Give them time to develop the answer!

Reveal the answer after students find the length.

 

Mobile Summit 2014

Most of the resources below I have discovered because of twitter.

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Below is a list of resources I like and use. It is a hodgepodge of good stuff for teaching math with video and images.

 Math Teaching Resources Menu

Appetizers:

Estimation180

Estimation180 is great for warm ups but even better for getting students to practice predicting their answer which allows them to decide if their answer they calculate makes sense. Screen Shot 2014-04-10 at 4.16.41 PM Here is an example:

Estimate: Day 151

What is the value of pennies in the glass?

estimation Questions we ask to get students thinking of reasonableness of their answers. Give an estimate that is too low. Give an estimate that is too high Give an estimate that is just right.

Video Answer

Would You Rather

ASKING STUDENTS TO CHOOSE THEIR OWN PATH AND JUSTIFY IT!

Screen Shot 2014-04-11 at 2.30.14 PM

 Great way to start a topic/or lesson. Students are eager to justify their choice. Relevant problems.

 Here is another example: Would You Rather

Would You Rather

 

Visual Patterns

Fawn Nguyen’s site has 140 different growth patterns. Find the correct equation!

Screen Shot 2014-04-11 at 2.34.01 PM

Here are a few examples:

 Screen Shot 2014-04-11 at 2.34.22 PM

or

Screen Shot 2014-04-11 at 2.34.45 PM

or

Screen Shot 2014-04-11 at 2.35.19 PM

Along the same lines as this are ….

Vine Videos created by Nat Banting

Click here to go to his blogpost on this… He takes a pattern like this one from a textbook: and turns it into this….   or one like this….

and turns it into this…   Here is one my students made…


   

Main Course

Engaging Math Problems vs. Standard Math Problems

 

3-Act Math Problems

Original concept from Dan Meyer – Read about it – The Three Acts of a Mathematical Story

  Here is the Corner to Corner  3 – Act Math Task - http://www.101qs.com/2998-corner-to-corner  Here is another…

Act 1: The Water Balloon

Did you wonder when the balloon will blow? Give an answer too high, too low, just right.

Act 2:

Act 2:

Act 3:

  Here is the same problem from a standard Math problem from grade 9

A water balloon is filled at a rate of 0.22L/s If a standard balloon will hold about 14L of water, how long will it take until it bursts?

 

101qs.com

Screen Shot 2014-04-11 at 10.02.47 PM

 Desmos.com

Screen Shot 2014-04-11 at 10.11.48 PM Online free graphing calculator – enough said!

 

Desmos Function Art Assignment

Grade 11s use their knowledge of functions to draw a picture. Modelling Modelling

Examples:

Screen Shot 2014-05-13 at 9.49.35 PM   Screen Shot 2014-05-13 at 9.51.05 PM   Screen Shot 2014-05-13 at 9.53.09 PM   Screen Shot 2014-05-13 at 9.55.16 PM

Explain Everything as a delivery tool

We began many classes by grabbing an Explain Everything file from our Google Drive. Here is a picture of that file. 20140218-205634.jpg 20140218-210420.jpg Here are some more examples of using Explain everything as a “digital worksheet”   20131201-105523.jpg   or 20131201-105614.jpg or 20131201-105645.jpg

Thanks!!

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