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Math Literature Units. 5 th grade. Keeping Records.
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Math Literature Units 5th grade
Keeping Records • Ancient Civilizations needed a way to keep track of days and numbers. Earlier this year in social studies, we learned that the Aztec and the Mayan were one of the early cultures in Mexico. The Aztec and Mayan decided to create counting systems and calendars. Their creations are still important to how we use numbers and record data today. • As you can see, math is everywhere and numbers are very important in our lives. Begin your center by doing a picture walk through your guidebook. Look at the pictures, read the captions, and write down some questions you have and hope to have answered after completing this center.
Mayan and Aztec Numbers • Read pages 4 and 7 and watch the video. • http://www.youtube.com/watch?v=fn-pktJGPy0 • After watching the video and reading the pages, discuss what the Aztec and Mayan cultures are like. • How many years ago did they exist?_____ • They mention a ball game on page 7. Answer the question about how many basketball courts fit in the Mayan ball court. ________________________________________
Mayan • Read pages 8 – 12 and watch the video below. • http://www.youtube.com/watch?v=moCb9bamGKM • Then, answer the questions that follow.
Numbers • What do you notice about the Mayan number system? Is there any counting method you’ve used similar to it? _____________________________________________________________ • Where would these numbers be useful? _____________________ • Try these problems: • .. = ____ .. = • …. • .. • . • …. • How would I write 467? • Think back to our base ten system. Earlier this year, we learned how multiplying by 10, 100, or 1000 changes a number. How is the way the Mayans write numbers similar to our place value system?
Wayeb • Read pages 14 – 15 and watch videos • https://www.youtube.com/watch?v=kyvw6G9Max0 • http://www.youtube.com/watch?v=JUKhfh-0W2k • How many days are there in Wayeb? ________________________ • Think about the pyramid in the picture on page 15. What is the name of the three dimensional figure?____________________ • If the base is a square and the sides measure 50 meters and a height of 6 meters, find the volume. (since it is a pyramid, divide your volume by 3.) ____________________________________________
Calendar • Recently, there was questioning about the end of the Mayan calendar. Why might people have been so worried about the Mayan calendar and it ending? While you read page 16-19, think about this question. Then, answer the questions below. • What number do you notice it restarts with Imix? _____________ • If you look at the pattern of numbers with Imix, what do you notice? __________________________________________________ • Try to determine the next part of the pattern. (use worksheet 20 attached to help.) __________________________________________________
Aztec system • Read pages 20-21. The Mayan and Aztec cultures had many similarities and many differences. On page 20-21, it shows us the Aztec number system. • Describe what is similar about the Mayan and Aztec number systems. ______________________________________________________________________________________________________________________________ • Describe what is different about the Mayan and Aztec number systems. ______________________________________________________________________________________________________________________________ • Which do you think would be easier to use? Why? ______________________________________________________________________________________________________________________________ • Now, think about our current counting system and place value. How might you compare and contrast the systems? Do we have similarities? Differences? What makes you say that? _____________________________________________________________________________________________________________________________________________________________________________________________
Calendars • Read page 22-23. The Mayan and Aztec cultures drastically changed when Cortes arrived in Mexico. Think about the influence that might have had on the number system. We have created lines that form what we call numbers and use those rather than pictures to represent values. • What parts of our current place value system do you think stemmed from the Mayan and Aztec cultures? Which parts might have come from another culture? ___________________________________________________________________________________________________________________________________________________________________________________ • Look at the Aztec calendar on page 23, it says it weighs 25 tons, how many pounds does it weigh? _____________________ • The calendar is 12 feet long and 3 feet thick. How many inches long is it? How many inches thick? ___________________________________________________________
Create a Calendar • Using the Mayan and Aztec influences, create your own calendar with images. Be sure to give a key for the symbols and for the value of each symbol.