Math and the Mind's Eye Unit II: Visualizing Number Concepts
Students explore number concepts from basic operations to greatest common divisors and least common multiples using tile and grid paper. Eligible for Math and the Mind's Eye donation program.
View sample: Activity 1 - Basic Operations
Basic Operations—Students use tile to express their perceptions of the four basic arithmetic operations. Models for these operations used in subsequent activities are introduced.
Odd & Even Numbers—A tile pattern is used to visually represent the concepts of even and odd numbers.
Factors & Primes—Counting numbers are represented by rectangular arrays of tile. The arrays are used to determine the factors of a number and introduce the concepts of prime and composite numbers.
Averaging—The average of two or more numbers is related to the process of evening off columns of cubes. Methods for arriving at the average of a set of numbers are developed.
Greatest Common Divisors—The greatest common divisor of two numbers is obtained by finding the largest square that tiles a rectangle that has those numbers as dimensions.
Least Common Multiples—The least common multiple of two numbers is obtained by finding the smallest square composed of rectangles that has those numbers as dimensions.
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