my favorite smoothie – #ShowUsYourSmoothie

By Kristina

I have always loved peanut butter, banana slices, and honey on toast as a pre-run breakfast. I love the smoothie version pre-run, pre-workout, post-workout, or at school (when lunch breaks are 20 minutes long). Smoothies are so easy to make and portable. They’re also great for supplementing typical protein sources (e.g., meat, eggs, or fish) when using protein powder such as Vega Protein Smoothie, Daily Burn Fuel 6, or Nature’s Best Perfect Zero Carb Isopure (used by Barry’s Bootcamp at their Fuel Bar). It’s also easy to add in spinach or kale to get in extra servings of vegetables.

IMG_8906Ingredients (2 servings)
1 ripe banana
16 ounces Pure Almond Milk
1 scoop vanilla protein powder (I used Vega Viva Vanilla)
3 shakes of Penzeys Apple Pie Spice
1 tsp honey
2 tbsp Teddie peanut butter
6 large ice cubes

Preparation
Put all ingredients in Vitamix in the order specified. Blend on smoothie setting. To take smoothies to school, I like to use 16 oz mason jars, Cuppow regular mouth lids and metal straws.

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Blogger Class at Endurance Pilates & Yoga

By Kristina

EndurancePilates

A few weeks ago, I went to an Endurance Pilates & Yoga class with Blog and Tweet Boston. Endurance Pilates & Yoga opened in January 2015 in the South End (close to Flour and Jaho). Founder Julie Erickson brings over 20 years of experience (including four Pilates certifications and an Ashtanga yoga certification) to this new studio location. The studio offers group Pilates classes and private lessons on the mat, reformer, and Cadillac, as well as barre, TRX, vinyasa yoga, and HIIT classes. The variety of classes suits all types of fitness enthusiasts. Julie is an avid runner, and I appreciated that she knows how to build strength and flexibility to complement running. Additionally, most classes are very adaptable for pregnant clients and the studio will eventually offer prenatal yoga.

Julie led our blogger group through a mix of mat Pilates, barre, and vinyasa yoga. A stickler for proper form and alignment, she gave accurate cues and adjustments in all three workouts. She made sure that we could all access the exercises and differentiated for those who needed more of a challenge or modifications. The mat Pilates class was my favorite of the three. I like the traditional exercises and that we targeted arms, legs, and core. Julie’s directions also ensure that you work hard and get the most out of each exercise. She designed her own format for barre (which seems more like traditional ballet barre exercises than the other formats I have tried) and uses portable barres rather than wall-mounted ones so that clients don’t rely too much on the support of the barres. The barre exercises alternate with cardio bursts such as jumping jacks. I’d be interested to see what a full barre class experience is like. Like the mat Pilates, the vinyasa yoga was traditional and familiar. The sequences we did felt good after the toning and strengthening we did beforehand. After our class, Julie did demonstrations of TRX and the Cadillac. She also led small groups of us through a few exercises on the reformers. In my few minutes on the reformer, I could immediately see why celebs like Jennifer Aniston swear by it! I look forward to coming back to try more Pilates classes in the future.

Disclaimer: I attended this class free of charge and received a coupon for a private lesson. I was not paid to write this post.

private schools vs. public schools

By Kristina

My husband spoke at “girls who code”-type of event a very wealthy private school in Greenwich, Connecticut today. His speaker gift: a Vineyard Vines tie with the school’s initials and a Henley shirt with the school’s logo and “There are 10 types of people. Those who know binary and those who don’t.” Such a different school than the one where I teach. Can’t imagine giving out Vineyard Vines ties with tiny phoenixes out one day…

logic on yikyak

By Kristina

Spotted on YikYak under the hashtag #ReclaimtheMirror2015. It reminds me of our IB Math Studies logic unit (which I won’t get to teach next year unless we can somehow swing one cohort of IB Math Studies and one cohort of IB Math SL for the Class of 2015).

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Questions

1) Translate the two sentences into logical symbols.
2) Find the converse, inverse, and contrapositive of each sentence.
3) Are the two sentences logically equivalent? Create a truth table to check.

 

#youngandreckless

By Kristina

Sometimes it pays to get out of one’s comfort zone to find some lovely math problems. I watched an episode of Rob Dyrdek’s Fantasy Factory with my husband today. Cooking competitions and rom-coms are usually more my speed than their antics and adventures, but I do like their joyful attitudes about trying ludicrous things. This episode included a subplot in which Rob filmed Drama doing reckless activities to prove that he was “certified reckless.”

Activity 1: Ride his Harley up a ramp and into a pit filled with foam blocks
Activity 2: Get inside a wooden coffin which was then blown up
Activity 3: Get inside a cannon and get shot into a net

The Cannon Lady states in the show that Drama would shot from the cannon from 40 feet up and at 30 mph.

Questions for Math Students
1) What are the dimensions and height of the net? Where should it be placed?
2) At what angle should the cannon be pointed?

Screen Shot 2015-01-25 at 12.07.41 PM Source: Instagram

Screen Shot 2015-01-25 at 12.10.15 PM Source: Instagram

gratitude list

By Kristina

I have not yet figured out how to let down my guard about sharing the trials and tribulations of my school days. I’m going to try putting up lists of three things I’m grateful for on a given day instead and elaborating on those as I see fit.

1) I have been off Facebook and Instagram for two weeks. I miss sharing things like the funny signs on the Sav-Mor liquor store and looking at cute fat babies, but I am gradually freeing myself of the mentally poisonous cycle of looking at these sites on my downtime. I told my students this. One commented “but you’re missing so much!”

What *am* I missing?

a) Comparisons to the following people: the runner who humblebrags about her oh-so-badass polar vortex marathon training run, the mom who created a Pinterest-perfect party for her toddler, or the hashtag-addicted Top Chef who crafted three perfectly-lit, scrumptious Whole30-compliant feasts.

b) The negative energy of those who complain all the time about everything under the sun. From a teenager, this is understandable. From an adult in his/her late 30’s, the “woe is me” behavior is unfollow-worthy. From a supposedly educated liberal, ignorant comments about things like Ferguson are unfriend-worthy.

c) Clickbait from Buzzfeed, Quartz, Elite Daily, Clickhole, and ThoughtCatalog. No wonder I’m behind on reading real books…I’m just reading crap on my T rides and while waiting in lines!

2) Friends on Netflix makes me really happy. It makes me think of high school and college friendships that were more meaningful than Facebook-only ties.

3) My husband and I got to eat breakfast together because it’s a holiday. He’s usually not up when I leave for school, so it was nice to enjoy egg bagels over CNN with him.

Patriots Football Triangle

By Kristina

My husband knows I love finding math in everyday life. Last night we hung out with some of his college friends and their wives, which ended up becoming two gender-segregated gatherings in front of the playoff games on the tv and in the kitchen. When we were heading home from a friend’s house last night, he shared with me that the guys’ conversation ended up bringing right triangles into football. I want to give this problem to my students.

The guys were reminiscing about a 2005 AFC divisional game when Champ Bailey intercepted Tom Brady in the end zone and began running the ball back down the sideline. The announcer excitedly counts down how far Champ Bailey makes it (“30! 25! 15″) until Ben Watson comes flying in and knocks Champ Bailey out at the 1-yard line.

In the post-game analysis, Tedy Bruschi comments “Where did he come from? We didn’t know until replays. We saw Ben was on the other side of the field, so he basically had to run 120 yards or longer than that to get that.” They thought this number didn’t make sense, so they got to calculating.

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Given that the dimensions of a football field are 160 yards long (with 10 yard end zones) x 53 1/3 yards wide plus the screenshot above, how far did Ben Watson actually run? 

game of 49

By Kristina

______gameof49_by__markeegames

We found out about the Game of 49 from some fellow runner/board game aficionados. After playing a few rounds with our friends, I immediately wanted to buy it for my students to play in class. It has elements of poker and bingo–you draw from a pile of number cards (1 – 48) plus wild cards (rings of numbers and 49), and bid for the cards. The highest bidder puts one of their tokens on the board. To win the game, you must get four in a row (horizontally, vertically, or diagonally). I also envisioned using the game for a probability unit after

Because the game wasn’t available to purchase at the time, I printed out five copies, laminated the boards and cards, bought bingo tokens from Amazon, and brought those to class. We played before Thanksgiving break, when many students were excused from class for running the annual Advisory Student Council potluck (two seatings for 9/10/11 and 8/12). The students got really into the game, and it was nice to see students who aren’t typically “good at math” excelling at it. We also played before Christmas break (when the probability unit had started). The kids who had played before were excited to teach their classmates how to play.

After they played, I asked the kids about their strategies. A lot tried to get on the board right away so that they’d get a lot of money when the payouts came. Some were concerned with wasting their money and therefore reluctant to make bids. Others drove up the prices in order to bankrupt their opponents and then be able to pick up number cards for $1.

I recently lent the Game of 49 sets to my coworker for her math enrichment class. It went over well, and they even sorted the game sets into Ziploc bags for me!

Game_of_49 (1)

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52 week saving challenge

By Kristina

Spotted on my Facebook newsfeed: New Year’s resolution to save, based on this blog post, which shows a money challenge that results in an extra $1378 at the end of the year.

52-Week-Money-Saving-ChallengeSource: http://www.lifeasyouliveit.blogspot.ro/2013/07/52-week-money-challenge-update.html

52-Week-Money-Saving-Challenge-1Source: http://www.goodshomedesign.com/52-week-money-saving-challenge/

The original blog post comments have become a flame war of sorts. Folks call $1378 practically nothing and others pipe up to defend saving at all. There are arguments about luxuries versus necessities. Some say that putting money in bank accounts is stupid.

However, there are some comments that could spark a discussion related to arithmetic sequences and series and the feasibility of doing these savings challenges in real life:

1) “I’d think it would be easier to deposit $25 per week = $1300. I’d think the larger amounts would be more difficult for some people to cough up each week, and they’d give up. Now if they can add $2 more per week, that would give them $1404 in the end. Or give them several options just to show what they could end up with in different denominations, ie $50 and $100. $2600 and $5200….”
2) “yes, people living in poverty are not in a position to save for a ski holiday. the beauty of this idea is that
it makes it a bit more fun
in the first month or so, it helps form a painless (for most people) habit. the difficulty of putting in $25 per week (and more) is balanced by the difficulty in letting yourself down by abandoning the dream/ project. personally, I’d find putting $25 in a jar hard to start, but I’d also find giving up on my habit of the past 6 months hard.”
3) “We have done this the last few years but do it backwards, for us it was much more feasible to save the bigger amounts earlier in the year compared to during the holiday season.”
4) “So do it in different increments instead. You could do $0.25 or $0.50 increments. You won’t save as fast, but it’s better than nothing.”
5) Someone even suggested a geometric sequence: ““DOUBLE IT”
Starts off in cents so you may be able to do it day after day at first however when as the game gets further just do it when you budget and save to finish your game goal. Challenge yourself make it a great goal of money.
Day 1. -One little penny. “Double it” Day 2- two pennies
Day 3 – only four lousy pennies (it’s small now oh but wait there’ more.
Day 5 – 8 pennies (Don’t cheat now and put all of it in for the week this is where the game comes into play and you start building your discipline for when it starts getting difficult. It makes it so you want to participate all the way through starting with only a penny. you will want to be putting money aside for the days to come because it starts growing fast after we are on day 11.
Day 6 – 16 cents. Day lucky 7 – 32 cents
Day 8 – 64 cents Day 9 – $1.28
Day 10 – $2.56. Day 11 – $5.12
Day 12 or day of 12th deposit – $ 10.24 and so on”

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