Roots and Exponents
Understanding the concept of exponents including squares, cubes and square roots, and applying the concept to whole numbers, decimals, fractions, both negative and positive. Understanding the properties of exponents and approximating the square roots on non-perfect squares.
Mapped to CCSS Section# 6.EE.A.1, 6.EE.A.2c, 8.EE.A.1, 8.EE.A.2
Write and evaluate numerical expressions involving whole-number exponents. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6s² to find the volume and surface area of a cube with sides of length s = 1/2. Know and apply the properties of integer exponents to generate equivalent numerical expressions. Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.