Represent, interpret, compare, and simplify number expressions.
Number and Quantity
Resources cannot be aligned to this standard, browse sub-standards to find lessons.
Use the laws of exponents and logarithms to expand or collect terms in expressions; simplify expressions or modify them in order to analyze them or compare them.
Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
Classify real numbers and order real numbers that include transcendental expressions, including roots and fractions of π and e.
Simplify complex radical and rational expressions; discuss and display understanding that rational numbers are dense in the real numbers and the integers are not.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.