Unit 11: Learning Objectives

Lesson1

Exponential Notation

• Evaluate expressions containing exponents.
• Evaluate exponential notations with exponents of 0 and 1.
• Write an exponential expression involving negative exponents with positive exponents.

Simplify by Using the Product, Quotient, and Power Rules

• Use the product rule to multiply exponential expressions with like bases.
• Use the power rule to raise powers to powers.
• Use the quotient rule to divide exponential expressions with like bases.
• Simplify expressions using a combination of the properties.

Products and Quotients Raised to Powers

• Raise a product to a power.
• Raise a quotient to a power.
• Simplify expressions using a combination of the properties.

Scientific Notation

• Convert between scientific and decimal notation.
• Multiply and divide using scientific notation.
• Solve application problems.

Lesson2

Introduction to Single Variable Polynomials

• Identify the terms, the coefficients, and the exponents of a polynomial.
• Evaluate a polynomial for given values of the variable.
• Simplify polynomials by collecting like terms.

Adding and Subtracting Polynomials

• Add polynomials.
• Find the opposite of a polynomial.
• Subtract polynomials.

Multiplying Polynomials

• Multiply monomials.
• Multiply monomials times polynomials.
• Multiply two binomials.
• Multiply any two polynomials.

Multiplying Special Cases

• Square a binomial.
• Multiply the sum and difference of the same two terms.

Dividing by a Monomial

• Divide a monomial by a monomial.
• Divide a polynomial by a monomial.

Dividing by Binomials and Polynomials

• Divide a polynomial by a binomial.
• Divide a polynomial by another polynomial.

Lesson3

Simplifying and Evaluating Polynomials with More than One Term

• Evaluate a polynomial for given values of each variable.
• Simplify polynomials by collecting like terms.

Operations with Polynomials

• Add polynomials with more than one variable.
• Subtract polynomials with more than one variable.
• Multiply polynomials with more than one variable.
• Divide polynomials with more than one variable.