# Alg2.2 Polynomials and Rational Functions

### Lesson 1

• I can create and interpret a polynomial that models the volume of a box.

### Lesson 2

• I can use polynomials to understand different kinds of situations.

### Lesson 3

• I can identify important characteristics of polynomial graphs and expressions.

### Lesson 4

• I understand that if you add, subtract, or multiply polynomials, you get another polynomial.

### Lesson 5

• I can find the zeros of a function from its factored form.

### Lesson 6

• I can identify features of polynomials and their graphs using their standard and factored forms.

### Lesson 7

• I can write an expression for a function that has specific horizontal intercepts.

### Lesson 8

• I understand why a function's end behavior is determined by its leading term.

### Lesson 9

• I can identify the end behavior of a polynomial function from its equation.

### Lesson 10

• I can use zeros and multiplicities to sketch a graph of a polynomial.

### Lesson 11

• I can find where two polynomial functions intersect.

### Lesson 12

• I can divide one polynomial by another.

### Lesson 13

• I can use long division to divide polynomials.

### Lesson 14

• I can use division to rewrite a polynomial in factored form starting from a known factor and then sketch what it looks like.

### Lesson 15

• I understand the remainder theorem and why it's true.

### Lesson 16

• I can write a rational function to model different properties of cylinders.

### Lesson 17

• I can identify a vertical asymptote from a graph or an equation of a rational function.

### Lesson 18

• I can identify a horizontal asymptote from a graph or an equation of a rational function.

### Lesson 19

• I can find the end behavior of a rational function by rewriting it as $f(x)=q(x)+\frac{r(x)}{b(x)}$.

### Lesson 20

• I can write rational expressions that represent averages to answer questions about the situation.

### Lesson 21

• I can write and solve equations with simple rational expressions on each side.

### Lesson 22

• I know how to check for extraneous solutions to rational equations.

### Lesson 23

• I understand what an identity is in mathematics.

### Lesson 24

• I can justify why identities are true.

### Lesson 25

• I understand why the geometric sum formula is true.

### Lesson 26

• I can use the geometric sum formula to solve problems.