Algebra 2

This course aligns with the learning outcomes for:

United States

This course aligns with the learning outcomes for:

United States

Algebra 2 continues students’ mathematical journey, begun in Algebra 1, of combining the concrete world of numbers into the sometimes abstract world of functions and other topics. The course thoroughly prepares students for the oncoming rigor of PreCalculus and beyond, yet does so in a manner that is compelling and rewarding, and which fosters an appreciation for the real-life applications of each topic explored, as well as for math itself.

With auditory, visual, and hands-on components throughout, this is truly a course that suits all learning styles. The lessons are engaging, interactive and student-friendly, with interactive videos that allow students to pause and rewind at any point and go at their own speed, as well as fun, interactive applets and dynamic graphs scattered throughout that enhance student understanding.

Each video is accompanied by a student-friendly note package that allows students to take notes to whatever level of detail they like. There are also an abundance of practice questions for students to internalize the material, with full, detailed solutions for each, as well as a comprehensive review assignment and practice test. Furthermore, with randomized question banks, students can redo every quiz and test in the course to help them master the material and perform their very best.

This course is strongly recommended for students who might take PreCalculus and eventually Calculus in either high school or college/university.

*Each lesson is designed to take 60 – 90 minutes to complete with the exception of major projects and assignments.

Warm-up - Exponents

Lesson 1: Factors of Whole Numbers
Lesson 2: Perfect Squares and Perfect Cubes
Lesson 3: Exponent Rules
Lesson 4: Negative Exponents

Chapter 1: Rational Exponents and Complex Numbers

Lesson 1: Rationals and Irrationals
Lesson 2: Introduction to Rational Exponents
Lesson 3: Properties of Exponents
Lesson 4: Introduction to Complex Numbers
Lesson 5: Complex Numbers

Chapter 2: Factoring

Lesson 1: Defining Polynomials
Lesson 2: Adding and Subtracting Polynomials
Lesson 3: Multiplying Polynomials
Lesson 4: Factoring Essentials for Polynomials
Lesson 5: Factoring Basic Trinomials
Lesson 6: Advanced Factoring

Chapter 3: Quadratic Functions

Lesson 1: Warm-Up: Domain and Range
Lesson 2: Functions
Lesson 3: Graphing Quadratics
Lesson 4: Completing the Square
Lesson 5: Maximum and Minimum Problems
Lesson 6: Solving Quadratics by Factoring
Lesson 7: Solving Quadratics by Graphing
Lesson 8: Solving Quadatics by Completing the Square
Lesson 9: The Quadratic Formula
Lesson 10: (Enrichment) The Discriminant
Lesson 11: (Enrichment) Conics: Parabolas

Chapter 4: Polynomial and Rational Functions

Lesson 1: Dividing Polynomials
Lesson 2: The Remainder Theorem
Lesson 3: Solving Polynomials Using the Factor Theorem
Lesson 4: Rational Expressions
Lesson 5: Operations With Rational Expressions
Lesson 6: Rational Equations and Applications
Lesson 7: (Enrichment) Sketching Polynomials Using Zeros
Lesson 8: (Enrichment) Graphing Rational Functions

Chapter 5: Exploring Functions

Lesson 1: Function Terminology
Lesson 2: Common Functions
Lesson 3: Key Features of Functions
Lesson 4: Transformations of Functions Part I: Stretches and Reflections
Lesson 5: Transformations of Functions Part II: Translations
Lesson 6: Combinations of Transformations
Lesson 7: Inverse Functions
Lesson 8: (Enrichment) Modeling Situations Using Regression

Chapter 6: Solving Equations and Inequalities

Lesson 1: Solving Systems of Equations
Lesson 2: Linear Quadratic Systems
Lesson 3: Quadratic-Quadratic Systems
Lesson 4: Solving One-Variable Inequalities
Lesson 5: Solving Two-Variable Inequalities
Lesson 6: Systems of Linear Inequalities
Lesson 7: (Enrichment) Using Systems of Inequalities to Optimize
Lesson 8: (Enrichment) Solving Radical Equations

*The following units are elective units to be used in jurisdictions that require these topics.

Chapter 7: Matrices

Lesson 1: Solving Systems Using Gaussian Elimination
Lesson 2: Introduction to Matrices and Matrix Operations
Lesson 3: Matrix Multiplication, Inverses, and Determinants
Lesson 4: Applications of Matrices

Chapter 8: Sequences and Series

Lesson 1: Arithmetic Sequences
Lesson 2: Arithmetic Series
Lesson 3: Geometric Sequences
Lesson 4: Finite Geometric Series
Lesson 5: (Enrichment) Infinite Geometric Series
Lesson 6: (Enrichment) Sigma Notation
Lesson 7: (Enrichment) Pascal’s Triangle (The Binomial Theorem)

Chapter 9: Exponential and Logarithmic Functions

Lesson 1: From Linear to Exponential Functions
Lesson 2: Transforming Exponential Functions
Lesson 3: Graphing Exponential Functions
Lesson 4: Introduction to Logarithms
Lesson 5: Graphing Logarithmic Functions
Lesson 6: (Enrichment) Continuous Exponential Growth
Lesson 7: (Enrichment) The Product and Quotient Laws
Lesson 8: (Enrichment) Solving Equations Using Logarithms

Chapter 10

Lesson 1: Trigonometry Review
Lesson 2: New Angular Measure – Radians
Lesson 3: Angles and the Coordinate Plane
Lesson 4: Trigonometric Ratios of Any Angle
Lesson 5: (Enrichment) Graphing Trigonometric Functions
Lesson 6: (Enrichment) Applications of Trigonometric Functions
Lesson 7: (Enrichment) Solving Trigonometric Equations
Lesson 8: (Enrichment) Trigonometric Identities – An Introduction

Chapter 11

Lesson 1: Exploring Data
Lesson 2: Standard Deviation
Lesson 3: The Normal Distribution
Lesson 4: Confidence Intervals
Lesson 5: Simulations
Lesson 6: Statistical Studies
Lesson 7: Estimations and Predictions
Lesson 8: (Enrichment) The Misuse of Statistics
Lesson 9: (Enrichment) Z-Scores

Chapter 12

Lesson 1: Sample Space
Lesson 2: Classifying Events (Mutually Exclusive or Not)
Lesson 3: Classifying Events (Dependent or Independent)
Lesson 4: Conditional Probability
Lesson 5: Expected Value

Semester 1 Exam

Semester 2 Exam

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StudyForge has been an effective instructional program for students who are learning math. There are many visual representations as well as audio explanations on all the topics. Most of the practice questions provide both an answer and a solution to help students understand the procedures. From the teacher’s perspective, the course instruction can be easily rearranged for students who need a review of concepts from a previous grade.

SONYA

Online Teacher at EBUS Academy

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Scott

Blended Teacher at Brampton Christian School

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StudyForge Student

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