#TMC14 Math Maintenance- Ten Minutes to Success

Presented by Kathryn Belmonte
Presentation Link
  • Five question spiral review
  • Ten minutes
  • Five topics per week
  • Can scale back if needed
Five questions on
  • 2 review
  • 2 current
  • 1 preview
Other Resources
  • Wyrmath.wordpress.com
  • Matharguments180.blogspot.com
  • Mathmistakes.org
  • Visual patterns.org
  • Estimation180.com
Ways to Use
  • Trade and grade
  • Quiz grade on Friday 
  • Go over whole group
  • Students present 
Record Keeping
  • Google doc to track scheduling
  • Track student scores across categories 

#TMC14 60 Formative Assessment Strategies in 60 Minutes

Presented by John Scammell


Formative- an exchange of information between teachers and students; feedback for learning

Formatives should be risk free.

Students focus is on improving. Teachers focus is on changing instruction.

Students given comments only as feedback made 30% gains. Specific, pointed, descriptive comments. What is the next step?

Formatives are not always a noun. It can be a noun. But let's add more to our toolkit.

Dropbox handout (There are actually 85 strategies!)

Quick feedback: highlight the last place they were right.

Effective peer feedback comes from structured coaching.

#TMC14 It Takes a Village...(Desmos)

Presented by Eli Luberoff

Desmos on Twitter: @lukeselfwalker, @squisythinking, @davidreiman, @teachwithcode

By tweeting our uses of Desmos, we can make a measurable, quantitative difference in the happiness of their staff. :)

New features

  • Insert images, set the center
  • Zoom in and out with two fingers
  • Set the center as sin to 'make it dance'
  • Sliders on the size, introduces transformations
  • Switch between polar, coordinate,and no grid 
  • Turn off the axis
  • Change step size
  • Pi labels
  • Label the axes

Cool Lessons 
  • Mathmistakes.org/complex/rules.html
  • Mathalicious.com/lessons/out-of-left-field
Upcoming Features
  • Regressions
  • iPhone app
  • iPad app updated
  • API updated

Things Desmos Believes
  • Interpret everything you can, especially incorrect work
  • Never say when to "go on". Let students make the call. Make them decide when it's good enough.
  • Pedagogy is in charge, technology follows.

#TMC14 Algebra 2 Session

Thursday-Glenn Waddell

What can be a connecting thread through Algebra 2?
  • Color coding units
  • Family of functions
  • All equations first, then graphically
  • Consistency of vocabulary
  • (h, k) forms


Students have to write every function in all three forms: standard, vertex, and intercept. Then identify all key features, intercepts, AoS, asymptotes, end behaviors, vertex, translation from parent function, domain/range, and stretch/compression factor. If it does not exist, write that and explain why.

No canceling! You are either making one or making zero with equations.


For intercepts, be specific. Make students write "Let x = 0, therefore y = __. (x, y)"

Developing rational functions in (h,k) form justifies long division. We use long division to convert rationale into (h,k) form.

(Insert plug for Nix the Tricks) Your past teachers taught you a rule that has now expired. 

Trouble with domain and range? Have students use Desmos to write their names with lines.

Display a free virtual TI on your SMART board. Desman is a good intro to Desmos.

It's not the math that's changing, it's the picture. You are applying the same thing over and over.

Use Desmos sliders to show the difference between -2x^3 and (-2x)^3. And to graph all functions and transform at the same time.


Use onlinetonegenerator.com to create tones from trig functions.

Use "rate of change" more than you use "slope". It matters for trig.

Modeling Resources: http://m3challenge.siam.org/about/mm/

Friday- Jonathan Claydon

Break functions into two clusters. First, linear, quadratic, radical, square root (mix in inequalities). Second, log, exponential, rational, polynomial. Start with solving basic types of the first four. Then cycle back and do intermediate types. Cycle back a third time and teach advanced types. Six weeks of equations and four weeks of graphs, the whole semester. End with conics, sequences, and series.

Start January with second cluster. Use graphs to motivate higher algebra. Inverses, transformations, quadratic formula, systems, complex numbers. Complex numbers are what happens when we force the algebra. When two graphs don't intersect, inverting the first graph and finding the intersection gives you the imaginary number solutions. Students use graphs to validate their algebraic answers.

Use data from data.worldbank.org for growth and decay for modeling. Compare countries and growth rates to interpret graphs and motivate extension questions. Use credit card bills and real estate websites for exponentially.

Resources: infinitesums.com/alg2 Open the calendar in Dropbox for pacing guide. DIY guide for goals and practice problems. Independent practice for just problems. All assessments, including finals and finals review are posted. Financial formulas: log gives number of months to pay off, second gives mortgage payment.

Project Ideas: function panels, estimation wall, fact sheets after each concept.

Doesn't do homework, does interactive notebooks, used estimation180 or visual patterns.org for daily warm ups.

Saturday- Glenn Waddell


It's our job to pick problems where variables can be idealized with a mathematical formula.

Take graphing stories and extend it. What can we ask? Volume vs time

What is the area under the curve? (Triangle shape) What is the rate of filling? At that rate, how long would it take to fill the school?

Absement is the absence of displacement, or the filling of the container. A hydraulophone is a real world example.

Try teacher.desmos.com for more class activities

#TMC14 My Favorites

My Favorites is a session where teachers share their favorite things in 5-10 minutes.

Rebekah Peterson @RebeckaMozdeh
  • Friday Letters- warm-up as usual or write me a Friday letter (decorate a mailbox); respond to every letter; opens up lines of communication for quieter students
  • Mathematician Spotlight- one per unit, corresponds to unit; students post biographical information; restate a quote, defend their position on the quote, find three bits of interesting information
Sara Martin @Sarah3Martin
  • Window Math- weekly problems written on window; bigger prize for less correct answers, smaller prize for more correct answers 'cheaters'
John Mahlstedt @jdmahlstedt
  • Write the date as a math problem
  • Tell your students how awesome you are- literally! Answer questions about yourself. Fill in the blank notes to match. :) Bonus Questionssss
Christine Sullivan @mathiechris
  • Planbook.edu
  • Online plan book allows you to attach standards, links, activities, worksheet, etc
  • End of year, comparing standardized test results to attached standards allows you to identify gaps and weaknesses
Bob Lochel @bobloch
  • Meaningful Adjacencies Icebreaker- 5 favorite tv shows; order your cards so you are closest to the most people who share matches; maximize solutions; 3 minute video
Glenn Waddell @gwaddellnvhs
  • Turn a styrofoam cup upside down and slit the top. Use an old smartphone to place inside  and record your teaching.
Justin Lanier @j_lanier
  • Favorite blogger- John Holt from1968; 5th grade teacher in Colorado; wrote books of daily
  • reflections, "How Children Learn" and "How Children Fail"; helped start homeschooling and unschooling movement;
  • Three lessons: 1. Look around. 2. Teach (and admit the) crazy. 3. Trust children.
Michael Pershan @mpershan
Jenn Crase @fibanachos
  • Part to Whole relationship
  • Factor Product relationship
  • Using visual models to understand equations
  • Middle school level
Pam Wilson @pamjwilson
  • Chalk Talk- everything is written instead of spoken
  • Students have to process in a different way
  • Students can write with highlighters in the dark with black lights
  • Ghosts in the graveyard
  • Plickers- app where students hold up QR codes and teachers take a picture and the app records the responses. Excitation!
Max Ray  @maxmathforum
  • Grant with EnCOMPASS
  • Aug 5-8 hybrid face-to-face online institute
  • Software that collects student work and analyzes and categorizes parts
Heather Kohn @heather_kohn
  • Partner Reading for Comprehension-partner 1 reads aloud; partner 1 questions/comments; partner 2 clarifies
  • Cut and Grow- take a student writing sample and they choose one sentence to edit; cut out the part that is wrong and rewrite
Andrew @froynboy
  • Animal rubric 
  • Seating chart arranged in 90s hip-hop groups
  • Character picture on desk
  • Project is researching their character and presenting
  • Play parts of song to call on groups
  • Highest grade wins the unicorn award
  • Video game themed tests
Cindy Johnson @johnsonmath
  • Conic cards!
  • Sorting!
Meg Craig @mathymeg07
  • Equation Editor 3.1 prints and copies better
  • Make shortcuts for symbols
  • Create your own autocorrect for common fractions, radicals, etc
  • Link goo.gl/TKlAz6
Sebastian Spear @Sebastian_S
  • 99-card game; any number of players; center deck; avoid being the player that pushes the center deck over 99; no winners, one loser; cards add value to center deck
  • Zilch-red negative, black positive; your hand must add up to 0; start with four cards and students make pairs; then change to five cards
Anthony Rossetti @aanthonya
Jasmine Walker @jazmath
  • Tabletop Twitter-posters; each student has a market; answer question; respond to people with @, and create your own hashtags
  • Quadrilateral Dating Game-speed dating structure; "meet" quadrilaterals and record traits
  • Cell phone problem solution- warning on the first day; get out an envelope and put phone in it until the end if the day; if they refuse, sign a card saying they accept the consequences

Bob @bobloch
  • Favorite movie genre correlation regression

Shelli @druinok
  • StatKey; app that can convert between data displays, etc
Kathryn Belmonte @iisanumber
  • Students true colors personality survey; 15 minutes; four categories; rank groups of adjectives to determine color

Dylan Kane @math8_teacher
  • Five triangles problem; want students to have mathematical insights over being able to do a lot of steps
Glenn Waddell @gwaddellnvhs
  • Buy your own domain-powerful way to represent yourself as a professional in a public space
  • Lunar pages donates free domain
Julie @jreulbach
  • Laminate plicker QR codes and attach to interactive notebooks
  • hinge questions where each multiple choice answer maps to a specific misunderstanding for differentiation

Sam @samjshah

John  @Jstevens009
  • Would you rather...math? Link
  • Needs help with new ideas
  • Goal of 100