6.4 The student will recognize and represent patterns with whole number exponents and perfect squares. Understanding the Standard Essential Knowledge and Skills The student will use problem solving, mathematical The symbol can be used in grade six in place of to indicate multiplication. “x” communication, mathematical reasoning, connections, and In exponential notation, the base is the number that is multiplied, and the exponent represents the representations to number of times the base is used as a factor. In , 8 is the base and 3 is the exponent (e.g., ). Recognize and represent patterns with bases and exponents that Any real number other than zero raised to the zero power is 1. Zero to the zero power () is undefined. are whole numbers. A perfect square is a whole number whose square root is an integer (e.g., ). Zero (a whole number) is Recognize and represent patterns of perfect squares not to a perfect square. exceed, by using grid paper, square tiles, tables, and calculators. Perfect squares may be represented geometrically as the areas of squares the length of whose sides Recognize powers of 10 with whole number exponents by are whole numbers (e.g., , etc.). This can be modeled with grid paper, tiles, geoboards and virtual examining patterns in place value. manipulatives. The examination of patterns in place value of the powers of 10 in grade six leads to the development of scientific notation in grade seven.
6.4 The student will recognize and represent patterns with whole number exponents and perfect squares. Understanding the Standard Essential Knowledge and Skills The symbol can be used in grade six in place of “x” to indicate multiplication. In exponential notation, the base is the number that is multiplied, and the exponent represents the number of times the base is used as a factor. In , 8 is the base and 3 is the exponent (e.g., ). Any real number other than zero raised to the zero power is 1. Zero to the zero power () is undefined. A perfect square is a whole number whose square root is an integer (e.g., ). Zero (a whole number) is a perfect square. Perfect squares may be represented geometrically as the areas of squares the length of whose sides are whole numbers (e.g., , etc.). This can be modeled with grid paper, tiles, geoboards and virtual manipulatives. The examination of patterns in place value of the powers of 10 in grade six leads to the development of scientific notation in grade seven. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Recognize and represent patterns with bases and exponents that are whole numbers. Recognize and represent patterns of perfect squares not to exceed, by using grid paper, square tiles, tables, and calculators. Recognize powers of 10 with whole number exponents by examining patterns in place value.
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