Divisibility6

4.1.A1- Use real-life experiences, physical materials, and technology to construct meanings for numbers.
4.1.A6 - Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.
4.1A7 - Develop and apply number theory concepts in problem solving situations (primes, factor, multiples/ common multiples, common factors)
4.1B2 - Construct, use, and explain procedures for performing calculations with fractions and decimals with pencil-and-paper and mental math)
4.1B7 - Understand and use the various relationships among operations and properties of operations.

This webquest will provide the teacher an excellent resource to reach the Mathematical-Logical learner. Students will enjoy exploring the number relationships of divisibility.
The Bodily-Kinesthetic Intelligence will also be tapped as the learner will be able to move quickly around webquest with skillful computing and fine-motor control.

The learner will list and recall divisibility rules. (Knowledge)
Students will give examples of numbers that are divisible by 2,3,5,6,9, and 10. (Comprehension)
The cooperative group teaches the class about divisibility of their assigned number using hundreds chart. (Application)
The learner recognizes the relationships among the numbers based on their divisibility rules. (Analysis)
Students designs additional Jeopardy questions. (Synthesis)
The cooperative critiques the other groups' presentation. (Evaluation)

Number theory concepts (like divisibility) can help in problem solving situations.
Students can have fun with numbers by presenting a "magic trick" to family regarding knowledge of divisibility.
The divisibility rule of 3 and 9 require finding the sum of the digits.
A Venn Diagram can be used to compare the divisibility of 2 or more numbers.
Looking at the digit in the ones place helps determine divisibility for 2, 5, and 10.
A number that is divisible by more than 2 factors is a composite number.
Individuals can discuss divisibility using mathematical terminology.

Bloom, B. (1984). Taxonomy of Educational Objectives. Boston, M.A. Allyn and Bacon.

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Gardner, H. (1983). Frames of Mind: The Theory of Multiple Intelligences. New York: Basic Books.
Glosser, Gisele (1998). Divisibility. Retrieved February 19, 2007, from Mrs. Glosser's Math Goodies Web site: http://www.mathgoodies.com/lessons/vol3/divisibility.html

•Gregorc, A. Ph. D.(1985). Style Delineator. Columbia CT. Gregorc Associates, Inc.
Hardin County Teachers, (2006, November 13). Jeopardy Games. Retrieved February 19, 2007, from Jeopardy Games Web site: http://www.hardin.k12.ky.us/res_techn/countyjeopardygames.htm
Overstreet, Kim Power Point Lessons. Retrieved February 19, 2007, from Learning Through Technology Web site: http://teach.fcps.net/trt10/PowerPoint.htm

•Sousa, D. (2001). How The Brain Learns. 2nd Edition. California, Corwin Press, Inc.

(2001). Divisibility rule. Retrieved February 19, 2007, from Wikipedia -the free encyclopedia Web site: http://en.wikipedia.org/wiki/Divisibilityrule
Utah State University, NLVM 3 - 5 Number & operations manipulatives . Retrieved February 19, 2007, from National Library of Virtual Manipulatives Web site: http://nlvm.usu.edu/en/nav/category_g_2_t_1.html

Composite -a positive integer which has a positive divisor other than one or itself. By definition, every integer greater than one is either a prime number or a composite number. The numbers zero and one are considered to be neither prime nor composite. For example, the integer 14 is a composite number because it can be factored as 2 × 7.
Divisibility - In mathematics, a divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder.
Greatest Common Factor -the largest positive integer that divides both numbers without remainder.
Least Common Multiple - the smallest positive integer that is a multiple of both a and b. If there is no such positive integer, e.g., if a = 0 or b = 0, then lcm(a, b) is defined to be zero.
Multiple -the product of that number with any integer. a is a multiple of b if a/b is an integer. The set of all multiples of x can be defined as xN where N is the set of all integers.
Prime -a natural number that has exactly two (distinct) natural number divisors, which are 1 and the prime number itself. There exists an infinitude of prime numbers, as demonstrated by Euclid in about 300 B.C.. The first 30 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

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