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Number Theory

Section 4.1 Factors and Multiples: Models factors, multiples, prime, and composite numbers with rectangular arrays and illustrates divisibility tests with base ten pieces. Subsections: Models for Factors and Multiples; Problem-Solving Application; Divisibility Tests; Prime and Composite Numbers; Prime Number Test; Sieve of Eratosthenes One-page Math Activity: Divisibility with Base Ten Pieces.

Section 4.2 Greatest Common Divisor and Least Common Multiple: Illustrates greatest common divisor and least common multiple with linear models and factor trees, and presents worked examples showing applications of factors and multiples. Subsections: Prime Factorizations; Factors of Numbers; Greatest Common Factor; Least Common Multiple; Problem-Solving Application One-page Math Activity: Factors and Multiples from Tile Patterns
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Star Polygons are a fun way to connect art and math. Not only do they provide decorative and artistic patterns, but also they illustrate the concepts of factor, multiple, greatest common divisor, and least common multiple.
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In This Chapter

Number Theory
Analyzing Star Polygons Applet
Internet Resources

Factors and Multiples
Bibliography
Math Investigation
Writing/Discussion Problems

Greatest Common Divisor and Least Common Multiple
Bibliography
Math Investigation
Writing/Discussion Problems








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