Algebra II Adv
Unit guides, warm-ups, challenge practice, and assessment review resources.
Course Documents
-
Opening Day Handout
Unit 1 - Functions
-
Lesson 1: Relations and Functions
Distinguish relations vs. functions, analyze domain/range, apply the vertical line test, and evaluate function values.
-
Lesson 2: Domain and Range
Find domain/range for polynomial, radical, and rational functions and use technology when needed.
-
Lesson 3: Parent Functions and Transformations
Transform parent functions and determine equations from transformed graphs.
-
Lesson 4: Features of Functions
Identify intercepts, extrema, intervals, asymptotes, end behavior, and graph intersections with technology support.
-
Lesson 5: Average Rate of Change
Compute average rate of change over an interval and connect to secant slope.
-
Lesson 6: Regressions
Fit lines to data, interpret slope/intercept/correlation, and use models for predictions with technology.
Quiz checkpoints and Unit 1 test follow these topics.
Unit 2 - Quadratic Functions
-
Lesson 1: Vertex Form
Graph vertex-form parabolas, model from vertex + point, and convert to standard form.
-
Lesson 3: Standard Form
Analyze standard-form parabolas and use shortcuts for vertex and intercepts.
-
Lesson 4: Intercept Form
Connect factored form to roots and build quadratic models from intercept data.
-
Lesson 5: Solving Systems of Linear Equations
Solve 3-variable linear systems with technology and use systems to model quadratics through three points.
-
Lesson 6: Modeling with Quadratics
Choose and build appropriate quadratic models from given information.
Unit 2 includes quiz review materials and spiral quiz/graded assignment checkpoints.
Unit 3 - Quadratic Equations
-
Lesson 1: Solving Quadratics by Factoring
Solve quadratics using factoring methods and the square-root approach.
-
Lesson 2: Solving Nonlinear Systems
Solve systems with quadratic/linear combinations using substitution and technology.
-
Lesson 3: Completing the Square
Use completing the square to solve quadratics and convert to vertex form.
-
Lesson 4: Imaginary Numbers
Introduce imaginary numbers as solutions to quadratics with no real roots.
-
Lesson 5: The Quadratic Formula
Derive and apply the quadratic formula to solve equations.
Graded assignment follows Unit 3 topics.
Unit 4 - Polynomials
-
Lesson 1: Polynomial Functions
Define/classify polynomials, analyze end behavior, and sketch by characteristics.
-
Lesson 2: Polynomials and Zeros
Connect zeros/roots/intercepts, build polynomials from zeros, and analyze multiplicity behavior.
-
Lesson 3: Operations with Polynomial Functions
Perform function operations and solve coefficient-targeting problems.
-
Lesson 4: Polynomial Division
Use long/synthetic division, synthetic substitution, and factor/remainder theorems.
-
Lesson 5: Factoring Polynomials
Review factoring methods, including higher-degree cases with known roots.
-
Lesson 6: Solving Polynomial Equations
Apply theorem-based strategies, factoring, synthetic division, and technology.
-
Lesson 7: Solving Polynomial Inequalities
Solve inequalities with factoring, sign analysis, and interval interpretation.
Unit 4 includes graded assignment and blank/completed review resources.
Unit 5 - Radicals and Rational Exponents
-
Lesson 1: Properties of Exponents
Review exponent rules, including negative and zero exponents.
-
Lesson 2: Rational Exponents
Interpret rational exponents and connect exponential/radical notation.
-
Lesson 3: Simplifying Radicals
Simplify radicals of varying indices and determine when absolute value is needed.
-
Lesson 4: Multiplying and Dividing Radicals
Multiply/divide radical expressions and rationalize when appropriate.
-
Lesson 5: Adding and Subtracting Radicals
Combine like radicals and simplify resulting expressions.
-
Lesson 6: Graphing Radical Functions
Graph square/cube root parent functions and transformed radical functions.
-
Lesson 7: Solving Radical Equations
Solve radical equations and check for extraneous solutions.
-
Lesson 8: Operations on Functions
Perform function operations and compositions with proper notation.
-
Lesson 9: Functions and Inverses
Determine when inverses exist and find inverse rules.
-
Quiz Review, 5-7 through 5-9
Quiz review resource covering Unit 5, lessons 5-7 through 5-9.
Midterm review packet: blank / answer key.
Unit 6 - Exponential and Logarithmic Functions
-
Lesson 1: Introduction to Exponentials
Introduction to exponential growth and decay models, key graph features, and real-world function contexts.
-
Lesson 2: Compound Interest
Apply exponential models to compound interest growth and compare financial scenarios.
-
Must-Know Video: 3 Things to Know from 6-1 and 6-2
Short walkthrough focused on top quiz/test problem types for Unit 6 lessons 1-2.
-
Lesson 3: Introduction to Logarithms
Define logarithms as inverse operations of exponentials and evaluate basic log expressions.
-
Lesson 4: Properties of Logarithms
Apply product, quotient, and power properties to rewrite and evaluate logarithmic expressions.
-
Lesson 5: Solving Exponential and Logarithmic Equations
Solve exponential and logarithmic equations using inverse operations, algebraic strategies, and equivalent forms.
-
Lesson 6: Graphing Exponential and Logarithmic Functions
Graph exponential and logarithmic functions and analyze key features such as intercepts, asymptotes, and transformations.
-
Lesson 7: Modeling with Exponentials and Logarithms
Build and interpret exponential and logarithmic models for real-world situations.
-
Unit 6, Lessons 4 through 7 Review
Review packet for the Unit 6 quiz covering lessons 4 through 7 on exponential and logarithmic functions.