Math

# Investigating Algebra Two (Part2 Of 5)

In this 8 week class we will learn about Quadratics, Complex Numbers, and Polynomials.

55 minutes

per class

3x per week

over 8 weeks

14-18

year olds

2-6

learners per class

per learner - per class

### How does a "Multi-Day" course work?

Meets multiple times at scheduled times

Live video chats, recorded and monitored for safety and quality

Discussions via classroom forum and private messages with the teacher

Great for engaging projects and interacting with diverse classmates from other states and countries

### How Outschool Works

### Available Times

Pacific

Don't see a time that works for you?

## Description

### Class Experience

This class is taught in English.

Represent complex numbers in a variety of ways. • Extend the number system to include complex numbers in a + bi form. • Identify the use for the square root of a negative number and define the imaginary unit. • Simplify square roots, including those containing negative radicands. • Simplify problems using mathematical operations. • Add, subtract, multiply, and divide complex numbers. • Raise the imaginary unit to a power. • Simplify radical expressions of any index. • Evaluate, solve, and analyze mathematical situations using algebraic properties and symbols. • Solve quadratic equations by factoring and the quadratic formula. • Solve radical equations, including those with extraneous solutions. • Write a quadratic equation when given the rational roots or zeros of the function. • Represent quantitative relationships using mathematical models and symbols. • Solve real world problems using the methods for solving quadratic equations. • Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic function. • Apply the steps of factoring. • Factor a quadratic trinomial with a leading coefficient. • Factor using multiple steps. • Specify locations and describe spatial relationships using coordinate geometry. • Graph quadratic functions. • Simplify problems using mathematical operations. • Simplify numerical expressions with exponents of any degree. • Add, subtract, and multiply polynomial expressions with any number of terms. • Divide polynomial expressions using synthetic division. • Evaluate, solve, and analyze mathematical situations using algebraic properties and symbols. • Solve polynomial equations by factoring. • Recognize that negative exponents mean reciprocals. • Use synthetic substitution to evaluate polynomial functions. • Apply the steps of factoring. • Factor a quadratic trinomial with a leading coefficient. • Factor by grouping. • Factor using multiple steps. • Factor polynomials of 3rd, 4th, or 5th degree. • Specify locations and describe spatial relationships using coordinate geometry. • Graph polynomial functions. • Simplify problems using mathematical operations. • Finding the zeros of a polynomial function.

3-4 worksheet per week. Assessments will be available for those who hand in the following assignments -Quiz one -Project one -Quiz 2/ Project two (students choice) -Quiz 3 (Cumulative)

Materials A ruler (12 inches and 30 cm) Graph paper (Printable provided) Notebook Graphing calculator Workbooks (printable in classroom)

After each part all students will be given a letter of completion. Those students who turn in graded materials will get a letter grade at the end of that part. Those students who complete the graded material in all five parts with get a written assessment of skills.

2 hours 45 minutes per week in class, and an estimated 2 - 4 hours per week outside of class.