The goal of this second course in the Algebra series is to enable students to develop the mathematical skills they need to solve problems in algebra. Topics include data analysis; mean, median, and mode; exponents, functions, and scientific notation; quadratic functions and equations; polynomials and factoring; and radicals and geometry. As students progress through the course, they build on what they already know.

Course MTH-406. Media: (B coming soon) or LP. Lessons: 5 chapters, 11 assignments.

## Algebra, Part 2

Course ID: MTH-406

Audience

Adult Continuing Education Program and High School Program

Course Description

The goal of the Algebra series is to enable students to develop the mathematical skills they need to solve problems in algebra. Topics in this second course include data analysis; mean, median, and mode; exponents, functions, and scientific notation; quadratic functions and equations; polynomials and factoring; and radicals and geometry. As students progress through the course, they build on what they already know.

Organization

Five chapters, eleven assignments

Credit

Students who successfully complete both "Algebra, Part 1" and "Algebra, Part 2" earn 1 high school credit or Carnegie Unit.

Prerequisites

To enroll in this class, a student needs to have successfully completed "Algebra, Part 1".

Overview

Students submit ten assignments to the instructor.

Grading

letter grades

Objectives and Content

Chapter 7: Data and Data Analysis

After completing this chapter, the student will be able to

a. find the mean

b. find the mode and median

c. find the minimum, maximum, and range

d. complete a frequency table for a set of data

e. complete a stem-and-leaf plot for a set of data

f. solve problems by deciding whether to use the mean, mode, or median

g. find quartiles for a set of data

Chapter 8: Exponents

After completing this chapter, the student will be able to

a. use an exponent to rewrite a product and find the value of a power

b. multiply terms that have exponents

c. apply rules for multiplying factors with exponents

d. divide terms that have exponents

e. apply rules for dividing terms that have exponents

f. multiply and divide expressions that have zero as an exponent

g. multiply and divide expressions that have negative exponents

h. convert numbers given in scientific notation to decimal form

Chapter 9: Quadratic Functions and Equations

After completing this chapter, the student will be able to

a. find the value of a, b, and c for a quadratic function

b. make a table of values for a quadratic function and then graph the function

c. determine if a graph opens upward or downward and if the graph has a minimum or maximum

d. find the zeros of a quadratic function from its graph

e. find the square root of a number

f. solve quadratic equations

g. find the zeros of a function using the quadratic formula

Chapter 10: Polynomials and Factoring

After completing this chapter, the student will be able to

a. name the type of polynomial

b. add polynomials

c. subtract polynomials

d. use the distributive property to multiply a binomial by a constant

e. use the distributive property to multiply a binomial by a binomial

f. tell if one expression is a factor of a second expression

g. factor by finding the greatest common factor (GCF)

h. factor trinomials when the constant term is positive

i. factor trinomials when the constant term is negative

j. factor the difference of two squares

k. use the zero product property to solve some quadratic equations by factoring

Chapter 11: Radicals and Geometry

After completing this chapter, the student will be able to

a. locate a square root between two whole numbers on a number line

b. simplify radicals

c. add and subtract radicals

d. multiply and divide radicals

e. solve radical equations

f. name the hypotenuse and legs of a right triangle

g. use the Pythagorean theorem to find the unknown side of a triangle

h. find the length of the unknown sides of a
45°-45°-90° right triangle

i. find the length of the unknown sides of a
30°-60°-90° right triangle