Overview
| Site: | Clare-Gladwin RESD |
| Course: | Michigan Algebra II KHauck |
| Book: | Overview |
| Printed by: | Guest user |
| Date: | Sunday, May 19, 2024, 1:25 PM |
Description
Overview
A polynomial is an algebraic expression that is a sum of terms, where each term contains only variables with whole number exponents and real number coefficients. A polynomial is in standard form when its terms are written in descending order of exponents from left to right.In this unit, you will learn about polynomials, polynomial equations, and polynomial functions. You will learn to add, subtract, multiply, and divide polynomials. You will graph polynomials and be able to identify their end behaviors. You will learn to evaluate polynomial expressions and solve polynomial equations. Factoring will enable you to determine the number of solutions and find the zeros of a polynomial function. The skills you learn can be used to solve real-life problems.
Expectations
MI Alg2 High School Content Expectations
Addressed Within the Polynomial Functions Unit
L1.2.1 Use mathematical symbols to represent quantitative relationships and situations.
L2.1.5Â Add, subtract, and multiply complex numbers; use conjugates to simplify quotients of complex numbers.
A1.1.1 Give a verbal description of an expression that is presented in symbolic form, write an algebraic expression from a verbal description, and evaluate expressions given values of the variables.
A1.1.4 Add, subtract, multiply, and simplify polynomials and rational expressions.
A1.1.5 Divide a polynomial by a monomial.
A1.2.2Â Associate a given equation with a function whose zeros are the solutions of the equation.
A1.2.5 Solve polynomial equations and equations involving rational expressions and justify steps in the solution.
A2.1.3 Represent functions in symbols, graphs, tables, diagrams, or words, and translate among representations.
A2.1.7 Identify and interpret the key features of a function from its graph or its formula(s).
A2.3.1 Identify a function as a member of a family of functions based on its symbolic or graphical representations; recognize that different families of functions have different asymptotic behavior.
A2.3.3 Write the general symbolic forms that characterize each family of functions.
A2.4.1 Identify the family of functions best suited for modeling a given real-world situation.
A2.4.2 Adapt the general symbolic form of a function to one that fits the specifications of a given situation by using the information to replace arbitrary constants with numbers.
A2.4.3 Using the adapted general symbolic form, draw reasonable conclusions about the situation being modeled.