Max (@maxmathforum) and I have thought deeply about what helps students transition from an arithmetic lens on the world to an algebraic lens. For the 2017-2018 PoW season, we have been deliberate in our selection for the twenty PoWs to offer in Pre-Algebra. Here’s what we’ve chosen and why!

**Problem #1**: Getting your problem-solving year off to a good start!

* At Least a Mile* [16003]

This problem aligns to 4th, 5th, and 6th grade CCSStandards and provides opportunities to revisit the idea of **Notice and Wonder®** or introduce it to students who have not yet been exposed to the idea. If it’s new for you, check this page for ideas: http://mathforum.org/pow/noticewonder/

**Problems #2, #3, #4, #5**: Proportional Reasoning / Distance = Rate • Time

* Cork Costs *[3524]

* Buying Cola *[1982]

* Downloading Duel *[4724]

* Apple Picking *[4544]

**Problems #6, #7**: The success that students can feel using a non-threatening strategy can build their confidence to use these strategies along with an algebraic approach.

* Pumpkin Carving for Charity* [3560]

* Peeling Potatoes *[5264]

**Problems #8, #9, #10, #11**: Using a single variable to find unknown amounts

* A Cranberry Craving *[3284]

* Eight Squares on a Table* [17049]

* A Snowy Driveway *[3308]

* Which Coupon Is Better *[3656]

**Problems #12, #13, #14**: Extending patterns and finding rules or shortcuts

* Anjelica’s Very Odd Magic Sweater *[4052]

* Gearing Up *[1898]

* Shortcut Savings *[16984]

**Problems #15, #16, #17**: Using variables to solve situations with multiple unknowns

* Boxes of Stationery *[2078]

* Ostrich Llama Count *[5156]

* Kaytee’s Contest *[16004]

**Problems #18, #19, #20**: Algebraic proof and justification

* Accounting for Age *[3056]

* Divisible by a Dozen *[2960]

* Suli’s Sense *[5300]

**NOTES:**

Access to these 20 PoWs (and the other 20 in each of the other 5 services on the Calendar for the Current Problems) costs just **$25 **(or just **$20** if you are an NCTM member!). Read the details of a Current PoW subscription here: http://mathforum.org/pow/productinfo.html

Try Annie’s Phone in the Pocket idea. Read: http://mathforum.org/blogs/suzanne/2014/08/10/listening-to-yourself/

Help your students add to their problem-solving toolbox. Read: “Examining Solution Methods” activity. Just use the Teacher Packet [pdf] that we provide for each PoW and you can create a similar activity for any of the PoWs you’re using with your students.

Are you wondering how to give feedback to all of your students. Read:

Feedback for 140+ http://mathforum.org/blogs/suzanne/2014/08/09/feedback-for-140/

Tips on encouraging student discussions. Read:

Keeping Quiet: http://mathforum.org/blogs/suzanne/2015/02/25/keeping-quiet/

Unsilence Students’ Voices: http://mathforum.org/articles/communicator.article.sep.2012.pdf

**If you have questions, please ask and I’ll be happy to respond. Have stories to share? Please do!
Sincerely,
Suzanne**