Introduction
Exploring the captivating realm of number theory reveals its practical applications in various fields. Whether you're involved in calculating factors for yard design or utilizing multiples to navigate work-related scheduling challenges, the foundational principles of elementary number theory prove essential. Math Goodies offers a thorough examination of these topics, and you've been chosen to delve into them, applying your knowledge through critical thinking.
Task
Explore Math Goodies resources to find answers to specific questions about number theory. The key to success in this WebQuest is engaging in the search for information and learning from your findings. These tasks will require a computer, internet access, as well as paper and pencil. While being familiar with Math Goodies can be beneficial, it is not a mandatory prerequisite for participation.
Process
- Browse our instructional unit on Elementary Math (Number Theory), which covers factors, GCF, Multiples, LCM, prime and composite numbers, divisibility tests and exponents.
- Complete all five exercises at the end of each core lesson in this unit.
- Complete our Worksheet on The Sieve of Eratosthenes
Answer each question, in order, and write down your answer on paper in your own words. You may work alone or in groups.
- What is elementary number theory?
- Give an example of how can multiples help you with gardening? (You may provide a specific example you found on our site.)
- What is a factor?
- What is 1,729,463 raised to the zero power?
- Is 25 the same as 2 x 5? Explain why or why not using full sentences.
- What is the Fibonacci sequence? (Hint: It can be found on several pages.)
- Write the Fibonacci sequence on paper.
- What is the rule for this sequence? Write your answer using your own words.
- Is the number 31 prime or composite? Explain your answer.
- Is the number 747 prime or composite? Explain your answer.
- How did you arrive at your answer to questions 9 and question 10? What method did you use for each?
- Why do we use divisibility tests?
- Which test(s) will determine if the number 876 is prime or composite? Explain your answer.
- What is the Sieve of Eratosthenes?
- Find all prime numbers less than 100.
- What is the smallest prime number?
Evaluation
- Switch your answers with a classmate or group member.
- Review each other's answers.
- Exchange ideas: Discuss what you have learned.
- Go through the answer key (I will have hard copy)
- Assess your ability to find information in this WebQuest.
- Assess your ability to learn from the information you found.
- Which tasks were easy for you?
- Which tasks did you struggle with?
Conclusion
Congratulations on your accomplishment! You've explored diverse facets of number theory, broadening your comprehension through critical thinking. Your achievement results from actively seeking information and incorporating valuable insights from the knowledge you've gained.