Algebra 2

Summary of Algebra II

Welcome to Algebra 2!

This course is designed to align with the curriculum typically found in an AP Precalculus course, serving as a comprehensive continuation of Algebra 1. It is expected that students enrolling in this course have a solid understanding of the content covered in Algebra 1. While the initial section of this course offers a rapid review of these fundamental topics, it is highly recommended that students with significant gaps in their Algebra 1 knowledge revisit those areas before proceeding.

Algebra 2 extends the foundational knowledge acquired in Algebra 1 in two primary ways: firstly, by introducing a wider range of information; and secondly, by elevating the level of abstraction. This transition from concrete computations to more abstract concepts can present a unique challenge as students progress in their mathematical studies.

For instance, whereas Algebra 1 might focus on solving quadratic equations such as : $ax^{2}+bx+c=0$ Algebra 2 delves deeper into understanding the nature of polynomial functions, exploring complex numbers, and analyzing their properties and behaviors. This course will encourage students to move beyond rote computation, emphasizing the understanding of broad general relationships and abstract mathematical ideas.

Consequently, students should be prepared for a shift in the nature and style of mathematics encountered in this course. There will be a reduced emphasis on basic computational skills and a greater focus on developing a deep understanding of underlying mathematical principles. This prepares students not only for higher-level mathematics courses but also for applying these concepts in various real-world scenarios.

Lessons

Algebra 2

Contents

Summary of Algebra II

Lessons

Section 1: Expressions, Relations, Functions, Graphs

Section 2: Polynomial Functions

Section 3: Rational Functions

Section 4: Exponential Functions

Section 5: Trigonometric Functions

Section 6: Inverse Functions

Section 7: Vectors, Matrices, Parametric and Polar Functions

Section 8: Conic Sections

Section 9: Sequences and Series

Section 10: Counting and Probability