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:

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OAME2014 – Using Videos/Images to Engage. Whatcha Thinking?

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

Follow us:

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@MrOrr_geek       @MrJeffreyLKDSB

Below is a list of resources we 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 53

 What is the volume of the vase?

9733372_orig

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!

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Here are a few examples:

 Screen Shot 2014-04-11 at 2.34.22 PM

or

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or

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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…

 

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 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?

Here is the 3-Act Math Approach

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:

Whatcha Thinking!!

We created a bank of 3-act math problems to use in your grade 9 applied class. The website is designed for student use.

Direct your students to the Whatcha Thinking site.

Screen Shot 2014-01-24 at 9.22.36 AM

Thanks!!

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@MrOrr_geek       @MrJeffreyLKDSB

Instantaneously Awesome!

So check this out!
Our lesson in Advanced Functions is “I should be able to determine the instantaneous rate of change of a function at a particular instant.”

Here’s what went down….

We began by grabbing an Explain Everything file from our Google Drive.

20140218-205634.jpg

We watched Dan run!
After watching his run I asked… “Draw a prediction in the file of his Elevation Vs. time”

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We used AppleTV to share our graphs…..brave students shot their graph up for display and for everyone to judge! Students were asked to support their prediction.

We then moved to the next slide….. And saw a Desmos graph of mimicking most of the student predictions.

20140218-210420.jpg

Students were then asked to use the secant line on the desmos graph to:
1. Find the average rate of change between 2 seconds and 10 seconds.
2. Estimate the instantaneous rate at exactly 2 seconds….by manipulating the points.

20140218-210632.jpg

After a consensus on what everyone thought was the instantaneous rate…and a discussion on what that means….we moved to the next slide to verify our result by looking at the tangent line at 2 seconds.

Lastly, we verified those results by calculating the instantaneous rate at 2 seconds using algebra!

Overall it was a pretty we’ll received lesson!
Any thoughts/feedback?