1. Topic-
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| Mayan culture and mathematics |
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2. Content-
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decimal number system
Definition : A positional system of numeration that uses decimal digits
and a base of 10
Context : The decimal number system is the most common numeral system
used around the world.
Expanded notation
Definition : A numeral expressed as a sum of the products of each
digit and its place value
Context : Expanded notation is used when converting between the Maya
number system and
glyph
Definition : A symbolic figure or a character usually incised or carved
in relief
Context : The Maya used glyphs to represent days and months in their
calendar.
Place value
Definition : The value of a digit as determined by its position in
a number
Context : In the Maya number , the top dot is in the 202 (four hundreds)
place, the shell is in the 201 (twenties) place, and the bottom dot
is in the 200 (ones).
Maya number system
Definition : A positional system of numeration that uses a base of
20 and three symbols: zero(a shell-shaped glyph), one (a dot), and
five (a bar)
Context : Advanced features of the Maya number system are the zero,
represented by a shell, and the place value system.
vigesimal number system
Definition : Any positional system of numeration that uses a base
of 20
Context : The Maya number system is a vigesimal number system.
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3. Goals: Aims/Outcomes-
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1. Understand Maya achievements in mathematics.
2. Understand the Maya calendar.
3. Learn how to convert Maya numbers to decimal numbers, and vice
versa.
4. Learn basic Maya arithmetic: addition, subtraction, multiplication,
and division. |
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4. Objectives-
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1. Students will have knowledge of Mayan culture.
2. Students will be able to convert Maya numbers into decimal numbers.
3. Students will be able to perform basic arithmetic functions with
Maya numbers. |
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5. Materials and Aids-
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- Discovering Math: Concepts in Number Theory video
- Computer with Internet access
- Print resources about the history of Maya mathematics. |
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6. Procedures/Methods-
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A. Introduction-
1. I will ask about prior knowledge of Mayan culture.
2. I will then tie in their knowledge or introduce it to them with
some facts.
3. Afterwards give them their research paper assignment. |
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B. Development-
1. I will model Maya numbers 0-26.
2. Show examples of converting Maya numbers into decimal numbers.
3. Execute basic arithmetic functions. |
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C. Practice-
1. Ask questions of my examples given.
2. Monitor the class as they complete a set of questions.
3. Give them my birthday and see if the class as a whole can figure
it out. |
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D. Independent Practice-
1. Write their names in Maya numbers by using the alphabet as their
key.
2. Worksheet
3. Write their birthday in Maya numbers as well. |
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E. Accommodations (Differentiated Instruction)-
1. Show a video of Maya numbers.
2. For gifted students, I would give larger numbers for them to convert.
3. For the students that struggle, I will help guide them through. |
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F. Checking for understanding-
1. Check the students birthdays.
2. Check their names and worksheets.
3. Take home quiz |
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G. Closure-
1. Brief summary of Mayan culture and Maya numbers.
2. Brief summary of the arithmetic performed. |
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7. Evaluation-
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1. Three points: Students were highly engaged in class discussions;
produced complete reports, including all of the requested information;
clearly demonstrated the ability to convert between Maya and decimal
numbers, and showed a complete understanding of Maya arithmetic.
2. Two points: Students participated in class discussions; produced
an adequate report, including most of the requested information; satisfactorily
demonstrated the ability to convert between Maya and decimal numbers,
and showed a satisfactory understanding of Maya arithmetic.
3. One point: Students participated minimally in class discussions;
created an incomplete report with little or none of the requested
information; were not able to convert between Maya and decimal numbers
or adequately perform Maya arithmetic. |
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8. Teacher Reflection-
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| Extension: When I was being taught in school, I preferred a lot
of examples. My teaching style will be very reflective off of that
method. When you have almost every possible scenario to study from,
you are almost guaranteed success. |
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