Exposure to prime factorization, perfect squares and perfect cubes provides a natural transition into irrational numbers and mixed and entire radicals. The exponent laws provide a foundation for multiplying and factoring polynomials in the following unit, where students will be required to multiply binomials and trinomials resulting in a product of degree 2 or greater. In Grades 8 and 9, students determined the square roots of whole numbers, decimals and fractions that were perfect squares. In this unit, students will find the cube roots of perfect cubes. Work with the number system will be extended to include irrational numbers. Students will gain an understanding of how irrational numbers, along with natural numbers, whole numbers, integers and rational numbers, comprise the real number system. Students will work with approximating the nth root of non-perfect powers. They will work with converting radicals to mixed radicals in simplest form and vice versa, using indices up to and including 5, and limited to integral radicands. Mental math should be encouraged as much as possible. Students will work with powers that have negative and fractional exponents, as well as powers with negative and variable bases. They will write radicals as powers with rational exponents and vice versa. Students will also develop and utilize the exponent laws using expressions with rational and variable bases and integral and rational exponents, along with evaluating algebraic expressions

TEST Thursday October 17