Category Archives: Math Mini Sparks

#17: Pi Numbers

Did you know…Among the digits of pi currently known, the concentration of each of the digits 0-9 are pretty close to equal. However, in the first 30 places of pi’s decimal expansion, there is a digit is completely missing?  Which digit is it?

Spark your math thinking!

1. Set up your math mini spark recording page: #17: Pi Numbers

2. Below you will see the first 98 digits of pi.  Record the number of times each digit appears.  Which digit is not used in the first 30 places?  Record your discovery on your recording page.

3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706

3. Take this Pi Day trivia quiz  If you use a website to find an answer, make sure to note that on your recording sheet.

4. Memorize 100,000 digits of pi using this site:  http://www.geom.uiuc.edu/~huberty/math5337/groupe/digits.html  OK…that might be a little extreme, but try to memorize at least 30 places. If you can do 30 already stretch it further.

3.141592653589793238462643383279502884197169399375105…

5. Read this article with Pi facts. Record several new ideas on your recording sheet.

6.  Discover the circles around us by posting a Circle Selfie to this Padlet Wall: http://padlet.com/spady_lynn/piday16IMG_4136

7.  Share your math mini spark recording page with your teacher/EY coordinator.

#16: Discover Circles

Circles are EVERYWHERE, and wherever there are circles, there’s math to be done!

Spark your math thinking!

  1. Set up your math mini spark recording page: #16: Discover Circles
  2. Read this circle fact page. Record 3-5 ideas on your recording page.
  3. Find circles in your environment and snap some pictures.  Make a Pic Collage (or use another app of your choice). Add the finished project to your recording sheet.

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  4. Get a ruler. Snap a picture of a circle that you have found with a ruler going through the center This is measuring the diameter of the circle.  Calculate the circumference of the circle by taking pi (3.14) times diameter.  C = πd. Record your math and the answer on your recording page
  5. Read the following steps to see how you can get to Pi!

Step 1:  Measure the diameter of a circle.  I used the top of my QT cup in the picture below. I measured the diameter as 11.5 cm.

pi3

Step 2:  Measure the outside of the circle (circumference) with a string (I used a piece of making tape folded in half because I didn’t have a string handy).

IMG_4076     IMG_4077

Step 3:  Measure the string.  I measured the circumference of my QT lid as 36.5 cm.

IMG_4078

Step 4:  Divide the circumference by the diameter (36.5 divided by 11.5).

I got 3.17391304.  Not too bad!

IMG_4079

5. Do steps 1-4 with your own circle. Record all of the math on your recording page.

6. Share your math mini spark recording page with your teacher/EY coordinator.

#15: Spheres with Pi

Learn about how Pi relates to cylinders, cones, and spheres in this math mini spark.

Spark your math thinking!

  1. Set up your math mini spark recording page: #15: Spheres with Pi
  2. Watch this video. Practice drawing the sphere with the teacher on your recording page. Record 3-5 other details from the video.

3.  Read about cylinders, cones, and spheres. Answer the questions the show up as ????  with a blue background and keep moving along the teaching journey.

4. Read this teaching page that shows how to calculate the surface area of a sphere. Record the steps on your recording sheet.

5. Share your math mini spark recording page with your teacher/EY coordinator.

#14: 100

10 squared = 100

The number of centimeters in a meter = 100

The number of sides on a square multiplied by the quantity of the number of letters in the alphabet take away one = 100

55+45 = 100

The base 10 equivalent of this binary number:  1100100 = 100

Spark your math thinking!

1. Set up your math mini spark recording page: #14: 100

2. Choose one of these projects to earn this mini spark.

  • Come up with 100 facts about the number 100. You can include math problems (like the ones listed above)
  • Facts that include the number 100
  • How to say 100 in different languages
  • Learn the scientific names of 100 animals.  Use this site (or another research tool) and present your learning using a tool of your choice (a list on paper, a Keynote, Pic Collage, etc.). Flip a coin 100 times and record the number of heads and tails.  Summarize your results.
  • Write a 100 word story about what you think life will be like 100 years from now.
  • Research information about life 100 years ago.  This article has some information about how things have changed. You may need to do other research Make a NOW VS THEN chart on your recording page. Compare/Contrast this year to what it was like 100 years ago. Include at least 10 items in your chart.

3. Share your math mini spark recording page with your teacher/EY coordinator.

#13: Mad About a Million

One of my favorite pictures books is A Million Dots by Andrew Clements. This book provide readers with several different ways to visualize a million.  This math mini spark asks you to explore this fascinating number!

Spark your math thinking!

1. Set up your math mini spark recording page: #13: Mad About a Million

2. A Million Dots by Andrew Clements is a book that actually has 1,000,000 dots in it (along with many other fascinating facts!).  One million dots my seem kind of hard to imagine, but check out the book and see for yourself.

3. Watch The Making of Hero, a drawing composed entirely out of 3.2 million ink dots. Write your reaction to the final project on your recording page.

4. Do a little experimenting with stippling.  Try the activity shown in this video. Add a picture of your work to your recording page.

5. Figure out a problem involving a million.  Show your work and reasoning for your answer on your recording page.

      • How tall would a stack of one million pennies be?
      • If your leaky faucet dripped one million drops, how much wasted water would that be?
      • How long would it take you to count from 1 to 1,000,000 assuming that you counted one number every second for 8 hours a day?
      • How old would you be if you lived for 1,000,000 minutes?
      • How long will it take for your blink one million times?
      • Come up with your own “million problem”

6. Share your math mini spark recording page with your teacher/EY coordinator.

 

#12: Factors & 276

This math mini spark will do a little bit of review on how to find factors and will take you on a journey to find out why the number 276 is amazing!

Spark your math thinking!

1. Set up your math mini spark recording page: #12: Factors & 276

2. Watch this short reminder video on the factor pairs. Take notes on your recording page showing the factor pair rainbow for 100.

3. Watch this Numberphile Video that takes proper factors and does some pretty amazing math. A proper factor of a number is any factor of the number except the number itself. Make a mini math dictionary on your recording page with at least 10 of the math terms from this video

4. Share your math mini spark recording page with your teacher/EY coordinator.

#11: Video Game Math Problems

I have 120 minions (btw…minions can fly).  Each minion has 50 health.   The archer tower does a big damage on the minion.  The minion loses 38 health.  How much health does the minion have left?

My boys love their video games!  Minecraft, Clash of Clans, Where’s My Water…I can’t keep up with all of them.  One way I don’t go crazy with all the gaming is that I have them write math story problems that go along with the game.  Check out these problems my son Trevor wrote about Clash of Clans:                                                                                                                Image taken from https://www.flickr.com/photos/85217387@N04/8638068371ClashofClans

  1. An army camp can hold 50 spaces.  If a giant takes up 5 spaces, how many giants can fit in that army camp?
  2. I am attacking with 75 barbarians.  I place down 40 barbarians.  How many barbarians do I have left?
  3. I have 20 dark elixir.  If I attack and gain 90 dark elixir, how much dark elixir do I have now?
  4. One of my valkyries hit 2 dark elixir drills.  One drill had 100 dark elixir and the other had 59.  If I already had 1,350 dark elixir, how much do I have now?
  5. I have 10,000 gold and I spend 2,000 gold on walls.  If one wall costs 100 gold, how many walls can I get?
  6. I have 120 minions (btw…minions can fly).  Each minion has 50 health.   The archer tower does a big damage on the minion.  The minion loses 38 health.  How much health does the minion have left?
  7. I have 30,292 gold.  Overnight, somebody attacks me and gains 9,929 gold (that means I lose 9,929 gold).  How much gold do I have now?
  8. I have 1,347 trophies.  In the battle, I gain 25 more.  How many trophies do I have now?
  9. When a clan has 1,962 trophies.  Round this number to the nearest hundred.
  10. In my army camp, I can hold 200 spaces.  A giant level 4 takes up 6 spaces.  I have 2 wallbreakers that each take 2 spaces.  How much space do I have left in my army camp?
  11. A wallbreaker breaks 4 walls at a time.  If there are 6 wallbreakers, how many walls will be blown up?
  12. My clan castle can hold 30 spaces.  TiTi, a clan member, donates 5 lv 5 barbarians.  They take up 5 spaces in all in my clan castle.  How many spaces do I have now?

Spark your math thinking!

  1. Set up your math mini spark recording page: #11: Video Game Math Problems
  2. On your recording page, write 12 creative math story problems to go along with a video game that you like to play.  Make an answer key for your problems as well.
  3.  On our recording page, write the step by step directions for three of your hardest problems.
  4. Answer 5 of the Clash of Clans story problems from above.  Write the number of the problem, show your math and include your answer.
  5. Share your math mini spark recording page with your teacher/EY coordinator.

#10: Celebrate Math!

Did you know various math topics have special days solely dedicated to it? Learn about some of these holidays in this math mini spark.

Spark your math thinking!

1. Set up your math mini spark recording page: #10: Celebrate Math! 

2.  What is Pythagorean Theorem Day? To qualify as a Pythagorean Theorem Day, the digits that make up the date must qualify as a pythagorean triple. The next pythagorean triple date will be on July 24, 2025 since 72 + 242 = 252.  Do some research and find some other dates that were or will be Pythagorean Theorem Days. 

3. Mole Day is celebrated on October 23. Read about mole day and take notes about this day on your recording page.  Make sure to define a mole in your notes.

4. The Fibonacci sequence begins like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144….      November 23 is celebrated as Fibonacci Day because when the date is written in the mm/dd format (11/23), the digits in the date form a Fibonacci sequence: 1,1,2, 3.         Watch this video about this special number pattern. Add notes to your recording page.

5. Pi Day is on March 14. Watch this short video about this day. Add some interesting details from the video to your recording page. Then, go to this site to find out how long until we celebrate pi day again (to the nearest second). Record this on your recording page.

6. Share your math mini spark recording page with your teacher/EY coordinator.

 

 

#9: Tangram Puzzles

Spark your math thinking!

  1. Set up your math mini spark recording page: #9: Tangram Puzzles
  2. Watch this intro video. Write the tangram rules and puzzle shapes on your recording page.

3. Try out this a tangram puzzle site with challenges to stretch your thinking.

4. Choose 5 or 6 puzzles to solve. Choose the right level for you. Older kids should do the advanced puzzles. Add a picture of each completed puzzle to your recording sheet.

 

5. Share your math mini spark recording page and your art piece with your teacher/EY coordinator.

Check out the Tangram Badge at the EY website. 

#8: Zombie Math

Spark your math thinking!

1. Set up your math mini spark recording page: #8: Zombie Math 

2. You need to get away from these mutant zombies-FAST! Can you solve the bridge riddle? Watch the riddle. IMPORTANT! Pause the video to record your possible solutions on your recording sheet. After you have written down your solution, you can watch the rest of the video. Record the solution from the video on your recording video and if you found the solution write “I SOLVED THE BRIDGE RIDDLE!!”.

2. Can you escape the web of zombies in 13 steps and exit safely? Challenge yourself with a web made up of algebraic expressions that include exponents and square roots, all tangled up with angles, area, and other ghostly geometry concepts. Print the Zombie Web page.  Reminder for your teacher-the answer key is in the math mini spark folder.

3. Practice using the exponential growth formula-with Zombies! Take notes on your recording sheet showing the math from the video.

4. **Advanced Option: The Mathematics of Escaping Zombies. Check out this video from Numberphile.  Watch this and take record some important details on your recording sheet showing the math you learned.

5. Share your math mini spark recording page and zombie web with your teacher/EY coordinator.