Reinforcing Ratio Reasoning

Throughout the Middle School Math Curriculum

Download digital version from Google Drive (with hyperlinks) at bit.ly/RatioReasoningFiles

Resources

File Cabinet 3-Act (6.G.4; 7.G.6):

File Cabinet  3-Act (by Andrew Stadel): http://www.101qs.com/518

Full list of Andrew Stadel’s 3-acts: https://docs.google.com/spreadsheet/ccc?key=0AkLk45wwjYBudG9LeXRad0lHM0E0VFRyOEtRckVvM1E#gid=0

Fawn Nguyen’s blog post. Fawn is a middle school math teacher and blogger.  I highly recommend following her blog.  She wrote about her experience with the File Cabinet 3-Act here: http://fawnnguyen.com/2012/04/25/mr-stadels-file-cabinet-3act-lesson.aspx

The 3-Act task idea originally came from Dan Meyer. He describes how he implements 3-Act tasks here: http://blog.mrmeyer.com/?p=16470, and a list of his 3-act tasks can be found here: https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0

Using Capture/Recapture to Estimate Populations (7.SP.1 and 7.SP.2):

Great video introducing the idea (using ping pong balls), and then using sampling to predict the number of cabs on London’s streets: http://www.youtube.com/watch?v=tyX79mPm2xY

Capture/Recapture lesson from Illuminations (more structured lesson): http://illuminations.nctm.org/LessonDetail.aspx?id=L721

Counting Fish task from nrich.maths.org (less structured task): http://nrich.maths.org/6060

Using Ratio Reasoning with Area, Surface Area, and Volume:

Cubic Caramel Candy Company (6.G.2) - student handout on Google Drive or on my blog

Growing Rectangles (6.G.4; 7.G.1; 7.G.6) - student version of the handout on Google Drive or on my blog; adapted from http://nrich.maths.org/6923


Problem Solving Tasks (covering several CCSS content and practice standards):

Good Work, If You Can Get It - handout on Google Drive or on my blog, adapted from nrich.maths.org: http://nrich.maths.org/996

Noah’s Animals - handout on Google Drive or on my blog; idea from Fawn Nguyen’s blog post: http://180days2012-13.fawnnguyen.com/2013/01/22/day-86---noahs-ark-and-factor-craze.aspx

Group Problem Solving Tasks (covering several CCSS content and practice standards):

Barrel Blunder and Gross-Out Green (problems and directions adapted from United We Solve, by Tim Erickson) - handouts on Google Drive or on my blog (including a more difficult version of Gross-Out Green involving fractional amounts of paint)

What is the Unit? Circle Puzzles (7.RP.2) handout on Google Drive or on my blog. There is also a Google Presentation (like a PowerPoint) on Google Drive that includes detailed presenter’s notes and can be used as a full lesson.  

Some of my favorite resources for great lessons and tasks:

Contact information:

Alisan Royster

Mt. Mourne I.B. School (7th grade math)

Iredell-Statesville Schools

alisan_royster@iss.k12.nc.us

My blog (download workshop resources there): www.TeachRefineRepeat.wordpress.com 

Twitter: There’s a great middle school math professional community on Twitter! Follow me - @G8rAli

Alisan Royster - Reinforcing Ratio Reasoning Throughout the Middle School Math Curriculum - NCCTM 2013