1. Make sense of problems and persevere in solving them. 2. Construct viable arguments and critique the reasoning of others. 3. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 4. Work with radicals and integer exponents. 5. Understand congruence and similarity using physical models, transparencies, or geometry software.