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Algebra 2 Course

Ember Learning Labs via YouTube

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Overview

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Master advanced algebraic concepts through this comprehensive course covering eight major units of second-year algebra topics. Begin with foundational review topics including domain and range, polynomial operations, factoring, and the Pythagorean theorem before progressing through expressions, formulas, and properties of real numbers. Learn to solve various types of equations and inequalities, including absolute value and compound inequalities. Explore linear relations, functions, rate of change, and slope while mastering techniques for writing linear equations and understanding parent functions with transformations. Develop skills in solving systems of equations using multiple methods including graphing, three variables, matrices, Cramer's rule, and inverse matrices. Study quadratic functions extensively, covering graphing, factoring, complex numbers, completing the square, the quadratic formula, discriminant, transformations, and inequalities. Advance to polynomial operations, division, functions, equation solving, and the remainder and factor theorems. Investigate function operations, inverse functions, square root functions, nth roots, radical expressions, rational exponents, and radical equation solving. Delve into exponential and logarithmic functions, learning to graph, solve equations and inequalities, and apply logarithmic properties including common logarithms. Conclude with rational expressions, reciprocal and rational function graphing, variation functions, and rational equation solving, plus coordinate geometry concepts including midpoints and distance calculations.

Syllabus

0-1 Domain and Range | Algebra 2 | Ember Learning Labs
0-2 FOIL Method Multiplying Polynomials | Algebra 2 | Ember Learning Labs
0-3 Factoring Polynomials | Algebra 2 | Ember Learning Labs
0-4 The Pythagorean Theorem | Algebra 2 | Ember Learning Labs
1-1 Expressions and Formulas | Algebra 2 | Ember Learning Labs
1-2 Properties of Real Numbers | Algebra 2 | Ember Learning Labs
1-3 Solving Equations | Algebra 2 | Ember Learning Labs
1-4 Absolute Value Equations | Algebra 2 | Ember Learning Labs
1-5 Solving Inequalities | Algebra 2 | Ember Learning Labs
1-6 Solving Compound and Absolute Value Inequalities | Algebra 2 | Ember Learning Labs
2-1 Relations and Functions | Algebra 2 | Ember Learning Labs
2-2 Linear Relations and Functions | Algebra 2 | Ember Learning Labs
2-3 Rate of Change and Slope | Algebra 2 | Ember Learning Labs
2-4 Writing Linear Equations | Algebra 2 | Ember Learning Labs
2-6 Special Functions | Algebra 2 | Ember Learning Labs
2-7 Parent Functions and Transformations | Algebra 2 | Ember Learning Labs
2-8 Graphing Linear and Absolute Value Inequalities | Algebra 2 | Ember Learning Labs
3-1 Solving System of Equations | Algebra 2 | Ember Learning Labs
3-2 Solving System of Inequalities by Graphing | Algebra 2 | Ember Learning Labs
3-4 Solving Systems in Three Variables | Algebra 2 | Ember Learning Labs
3-5 Operations with Matrices | Algebra 2 | Ember Learning Labs
3-7 Solving Systems Using Cramer's Rule | Algebra 2 | Ember Learning Labs
3-8 Solving Systems of Equations with Inverse Matrices | Algebra 2 | Ember Learning Labs
4-1 Graphing Quadratic Functions | Algebra 2 | Ember Learning Labs
4-2 Solving Quadratic Equations by Graphing | Algebra 2 | Ember Learning Labs
4-3 Solving Quadratic Equations by Factoring | Algebra 2 | Ember Learning Labs
4-4 Complex Numbers | Algebra 2 | Ember Learning Labs
4-5 Completing the Square | Algebra 2 | Ember Learning Labs
4-6 The Quadratic Formula and the Discriminant | Algebra 2 | Ember Learning Labs
4-7 Transformations of Quadratic Graphs | Algebra 2 | Ember Learning Labs
4-8 Quadratic Inequalities | Algebra 2 | Ember Learning Labs
5-1 Operations with Polynomials | Algebra 2 | Ember Learning Labs
5-2 Dividing Polynomials | Algebra 2 | Ember Learning Labs
5-3 Polynomial Functions | Algebra 2 | Ember Learning Labs
5-5 Solving Polynomial Equations | Algebra 2 | Ember Learning Labs
5-6 The Remainder and Factor Theorem | Algebra 2 | Ember Learning Labs
6-1 Operations with Functions | Algebra 2 | Ember Learning Labs
6-2 Inverse Functions and Relations | Algebra 2 | Ember Learning Labs
6-3 Square Root Functions and Inequalities | Algebra 2 | Ember Learning Labs
6-4 nth Roots | Algebra 2 | Ember Learning Labs
6-5 Operations with Radical Expressions | Algebra 2 | Ember Learning Labs
6-6 Rational Exponents | Algebra 2 | Ember Learning Labs
6-7 Solving Radical Equations and Inequalities | Algebra 2 | Ember Learning Labs
7-1 Graphing Exponential Functions | Algebra 2 | Ember Learning Labs
7-2 Solving Exponential Equations and Inequalities | Algebra 2 | Ember Learning Labs
7-3 Logarithms and Logarithmic Functions | Algebra 2 | Ember Learning Labs
7-4 Solving Logarithmic Equations and Inequalities | Algebra 2 | Ember Learning Labs
7-5 Properties of Logarithms | Algebra 2 | Ember Learning Labs
7-6 Common Logarithms | Algebra 2 | Ember Learning Labs
8-1 Multiplying and Dividing Rational Expressions | Algebra 2 | Ember Learning Labs
8-2 Adding and Subtracting Rational Expressions | Algebra 2 | Ember Learning Labs
8-3 Graphing Reciprocal Functions | Algebra 2 | Ember Learning Labs
8-4 Graphing Rational Functions | Algebra 2 | Ember Learning Labs
8-5 Variation Functions | Algebra 2 | Ember Learning Labs
8-6 Solving Rational Equations and Inequalities | Algebra 2 | Ember Learning Labs
9-1 Midpoints and Distance | Algebra 2 | Ember Learning Labs

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