OVERVIEW of Unit 2 Exponents and Equations

In this unit student will:

- distinguish between rational and irrational numbers and show the
- recognize that every rational number has a decimal representation that either terminates or repeats;
- recognize that irrational numbers must have decimal representations that neither terminate nor repeat;
- understand that the value of a square root can be approximated between integers and that non–perfect square roots are irrational;
- locate rational and irrational numbers on a number line diagram;
- use the properties of exponents to extend the meaning beyond counting-number exponents;
- recognize perfect squares and cubes, understanding that non-perfect squares and nonperfect cubes are irrational;
- recognize that squaring a number and taking the square root of a number are inverse operations; likewise, cubing a number and taking the cube root are inverse operations;
- express numbers in scientific notation;
- compare numbers, where one is given in scientific notation and the other is given in standard notation;
- compare and interpret scientific notation quantities in the context of the situation;
- use laws of exponents to add, subtract, multiply and divide numbers written in scientific notation;
- solve one-variable equations with the variables being on both sides of the equals sign, including equations with rational numbers, the distributive property, and combining like terms; and
- analyze and represent contextual situations with equations, identify whether there is one, none, or many solutions, and then solve to prove conjectures about the solutions.