## Standards with the same topic and subject but for other grades

Any real number other than zero raised to the zero power is 1. Zero to the zero power (0⁰) is undefined.

The power of a number represents repeated multiplication of the number (e.g., 8³ = 8 · 8 · 8). The base is the number that is multiplied, and the exponent represents the number of times the base is used as a factor. In the example, 8 is the base, and 3 is the exponent.

A perfect square is a whole number whose square root is an integer (e.g., 36 = 6 ∙ 6 = 6²). Zero (a whole number) is a perfect square.

The student will recognize and represent patterns with whole number exponents and perfect squares.

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 8³, 8 is the base and 3 is the exponent (e.g., 8³ = 8 ∙ 8 ∙ 8).

Perfect squares may be represented geometrically as the areas of squares the length of whose sides are whole numbers (e.g., 1 ∙ 1, 2 ∙ 2, 3 ∙ 3, 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.

Recognize a number greater than 0 in scientific notation.

The student will recognize and represent patterns with whole number exponents and perfect squares.