M8N1. Students will understand different representations of numbers including

square roots, exponents, and scientific notation.

a. Find square roots of perfect squares.

b. Recognize the (positive) square root of a number as a length of a side of a

square with a given area.

c. Recognize square roots as points and as lengths on a number line.

d. Understand that the square root of 0 is 0 and that every positive number has

two square roots that are opposite in sign.

e. Recognize and use the radical symbol to denote the positive square root of a

              positive number.

f. Estimate square roots of positive numbers.

g. Simplify, add, subtract, multiply, and divide expressions containing square

roots.

M8G2. Students will understand and use the Pythagorean theorem.

a. Apply properties of right triangles, including the Pythagorean theorem.

b. Recognize and interpret the Pythagorean theorem as a statement about areas of

squares on the sides of a right triangle.