Digit Frequency in the First 1,000 Digits of Pi
Written by Adi Ackerman, Head Teacher
"Digit Frequency in the First 1,000 Digits of Pi" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.SP.C.7.B. A 6th grader who is already steady on number theory can use it too, and an older student can use it as a short review.
2 pages in this set
7th grade math worksheet: compare digit counts and percents in the first 100, 500 and 1,000 digits of pi. Answer key included. Part of our exploring pi number theory collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with What Pi Means, Measure and Compute, which needs string, a ruler and a calculator. Then use the digit pages for data, graphing and probability work.
What students will practice
- Students will count the 9s in blocks of 100 digits of pi.
- Students will write counts as percents of samples of different sizes.
- Students will explain how larger samples change the percents for each digit.
Curriculum Links
Common Core State Standards
Statistics and Probability · 7th Grade
Standard: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
View all 7.SP.C.7.B worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this exploring pi worksheet?
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Start with What Pi Means, Measure and Compute, which needs string, a ruler and a calculator. Then use the digit pages for data, graphing and probability work.
What does this worksheet teach?
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Compare digit counts and percents in the first 100, 500 and 1,000 digits of pi. The directions on the page read: These are the first 1,000 digits of pi after the decimal point, in numbered blocks of 100. Count the 9s in Blocks 8 and 9, then answer the questions. An answer key is included.
Can I use this exploring pi worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade number theory, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is pi?
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Pi is the ratio of a circle's circumference to its diameter, close to 3.14.
How do students estimate pi?
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They measure C and d for five round objects and divide, then find the mean.
Do these worksheets have answer keys?
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Yes, all 6 have an answer key.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Number Theory |
| Standard | 7.SP.C.7.B |
| Pages | 2 pages |
| Difficulty | Medium |
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