The Luhn algorithm or Luhn formula, also known as the modulus 10″ or “mod 10” algorithm, was developed in the 1960s as a method of validating whether or not identification numbers provided by a user are accurate.
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Set up your math mini spark recording page: #83 The Luhn Algorithm
Look over this chart. What do you notice about each of the rows?
3. Read this article about the formula and how it is used in real life to catch errors when shopping online. Choose 2 of these questions to answer with at least two sentences. Remind your teacher that the key can be found in the math mini spark folder.
What is the main purpose of the Luhn Algorithm as described in the text?
How does the algorithm determine if a credit card number is valid after a user inputs it incorrectly? Provide specific steps involved in the process.
What kind of errors might still pass the Luhn Algorithm, even if the sum is a multiple of ten? Explain why these errors can occur.
Why do online stores request additional information, such as the expiration date and card verification number, even if the Luhn Algorithm is used? What does this suggest about the reliability of the algorithm?
3. In this video you will learn how to use the Luhn Algorithm. Make the table on paper as you watch.
4. Optional: Research the creator Peter Luhn and make a timeline with 5-8 details.
5. Optional: Complete the math challenge presented by CEMC math . Print it, read the page and look at the different strategy that they present to you. Work on the challenge presented.
6. Check your work with this answer key. Remind your teacher that the key can be found in the math mini spark folder.
7. Share your math mini spark recording page with your teacher/EY coordinator.
Calling all math detectives!! This is a challenge that combines writing and math.
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Set up your math mini spark recording page: #82: Math in a book
Watch this video and pause it at 34 seconds. Try to figure out the pattern that this poem uses. Hint: It has to do with math. Write down your guess. Continue watching.
When you are done, create your own short poem using the first 10, 15 or 20 numbers as your guide. Write your poem on your recording page.
Share your math mini spark recording page with your teacher/EY coordinator.
A triangular number or triangle number counts objects arranged in an equilateral triangle.
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Set up your math mini spark recording page: #81 Triangular Numbers
Use this interactive tool to construct triangular numbers until you can see the pattern to answer this question.
This is a teaching page that REALLY gets into the math behind these types of problems. Use the formula and see if you can get the right answer to the counter problem.
When you have a solution and a written statement about what you did to solve the problem you can click here to see the solution.
Check out this triangular number chart. After looking over the first page, click on “getting started” to explore this resource.
Connection: Research the original Lite-Brite, a 1960s toy. Come up with some unique ideas on how teachers can use these toys to teach math, science, and art.
Share your math mini spark recording page with your teacher/EY coordinator.
What is the biggest number you can think of? What does that number mean? For this math mini spark, you will be exploring some “really big numbers” and what they mean.
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Set up your math mini spark recording page: #79 Really Big Numbers
In the episode, “Have You Seen This Snail?”, SpongeBob SquarePants is given a challenge of hitting a paddle ball 29,998,559,671,349 times in a row. This causes SpongeBob to neglect Gary (his pet snail) and so Gary leaves. Write this number out in words.
4. How many different positions are there on a standard Rubik’s Cube? Visitthis siteand record the number in your notebook. BONUS: Write the number out in words.
Set up your math mini spark recording page: #78 If I had a million…
For inspiration, listen to How Much Is A Million by David M. Schwartz.
3. Explore the length of ONE MILLION objects. You have two options for your recording sheet: you can either print a copy or fill out a digital version. You can also make the charts on your recording page.
4.Create a visual to display your information. You can use an app of your choice on your iPad or computer. You can also draw/color on paper.
5. Share your math mini spark recording page and ONE MILLION object page with your teacher/EY coordinator.
We are surrounded by information (data) and it’s important to organize it into presentable and easy to understand ways! For this math spark, you are going to display some information of your choice.
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Set up your math mini spark recording page: # 77 Organizing Data
Start by watching The Great Graph Contest.
3. Now, choose a topic that you want to graph, the information, and the way you represent it.
4. Write 5 questions that can be answered from your information. Please also include the answers to your questions.
5. Share your math mini spark recording page with your teacher/EY coordinator.
Sure, most cats are soft and furry. But this one has gone bonkers. Sophie the cat holds the world record for the longest cat fur. Measuring more than 10 inches long, Sophie’s fur might be longer than your own hair.
Judging from the look on her face, we’re not sure she likes having all that fur…and you can’t blame her. Her owners have to brush her out 2-3 times every week to keep it neat. But now that she holds the Guinness World Record for furriest cat, maybe it’s worth it.
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Set up your math mini spark recording page: #76 World Record Cat
Check out this post about the world record cat, Sophie!
Go to the world record’s page and read about Sophie.
Create a PicCollage on the topic of Sophie and some of the facts . Do a bit of extra research to add a few more bits of information related to the topic.
Research other animals that hold world records. Add this information to your PicCollege.
Create some of your own math problems using the data from the post about Sophie. Add these and the answers to your PicCollage.
Share your math mini spark recording page and your PicCollage with your teacher/EY coordinator.