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.