# Algebra 2 Guided Notes, Presentation, and INB Bundle

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This Algebra 2 Bundle is flexible, editable, and can be used for in-person or distance learning. Take the time and stress out of creating your own guided notes and presentations. There are many ways to use this engaging bundle. Students can either build interactive math notebooks with guided notes (keys included) and foldable activities OR use the included presentation note-taking handouts (keys included) with the PowerPoint presentation for focused instruction. Quick checks for understanding (keys included) help to determine how well your students understand the material as you go. Choose what works best for your class and modify to make the content fit your needs. Notes are designed to clearly present the topics and reach all types of learners.

The zip file includes BOTH **editable, plain-font resources AND ready-to-print, non-editable PDFs**. Suggested use guides are included. These materials may be placed on an LMS for distance learning!

**Interactive Math Notebook FORMAT **– Includes 3 parts: guided notes, foldable activities, and quick checks for understanding. Piece the components together and students can create their own “math textbook” in a math journal.

**Guided notes activities**contain sample teacher answer keys. Example problems are solved on the sample teacher answer keys, but you can have your students use them over and over again with problems from your own curriculum.**Interactive notebook foldable activities**include descriptions for use. We have not included specific examples for the interactive notebook activities. We like to give them to students for review so that they can show what they have learned and personalize their notes.**Quick Checks for Understanding**are perfect for an entrance or exit ticket!

**Presentation Sheets FORMAT **– Includes 2 parts: guided notes and quick checks for understanding. They are organized in the same order as the included PowerPoint and are designed to print and present. The quick checks can be cut off the bottom of the note sheets and turned in as an assessment tool.

**Presentation **– Plain-font, no frills, PowerPoint presentation that you can use to present content to students whether you are in-person or remote. Slides have blank, student note templates followed by filled-in teacher keys. Modify the editable presentation to best fit your needs.

This HUGE (over 550 pages) bundle contains a full-year of focused activities for 15 units of study, perfect for Algebra 2 students. This bundle is perfect to use with any textbook or e-book curriculum and great for engaging all types of learners. You may edit each component and are free to post the content on your LMS, Google Classroom, etc. for use with your students.

Related Materials:

We also have fully editable **Algebra 2 Student Practice Pages **with additional practice problems for each topic. You can purchase these separately if you need additional practice problems for each unit. They are similar to the quick check sections and they are great for extra practice, homework, and remediation.

In addition we now offer fully editable **Algebra 2 Assessments**. These assessments include two versions of each test, perfect for a pre- and post-assessment.

**Or purchase all of our Algebra 2 materials together in our Algebra 2 Curriculum Pack, which contains everything you need to teach Algebra 2!**

This bundle also contains a description of how to use the materials included. In addition, we recently added a CCSS alignment guide to help you plan and prepare which you can access as a FREE download here:

**Algebra 2 Supplementary Materials and Alignment Guide**

Bundle contains the following individual units:

**Solving Equations and Inequalities**

Order of Operations (Review)

Defining Key Terms: Variables, Algebraic Expressions, and Formulas

Reviewing Expressions and Formulas

Number Systems

Properties of Real Numbers

Properties of Real Numbers (Match)

Multiplicative and Additive Inverses

Distributive Property

Verbal Expressions to Algebraic Expressions

Properties of Equality

Review: Solving Equations

Absolute Value Expressions

Solving Absolute Value Equations

Properties of Inequalities

Solve and Graph an Inequality

Compound Inequalities

Absolute Value Inequalities

**Linear Relations and Functions**

Relations: Domain and Range

Multiple Representations of a Relation

What is a Function?:

What do functions look like?

Create a Mapping of a Relation

Is the equation a linear equation?

State the Domain of a Function

Evaluating Functions for a Given Value

Operations with Functions

Composition of Functions

Ways to Write Equations of Lines

Writing Linear Equations in Standard Form

Types of Slope

Finding Slope

Linear Functions

Using Intercepts to Graph Lines

Graph a Line in Slope-Intercept Form

Graph a Line Given a Point and Slope

Writing Linear Equations

Equations of Parallel, Coinciding, and Perpendicular Lines

Graphing Parallel Lines

Graphing Perpendicular Lines

Correlation

Some Special Piecewise Functions

Graphing Linear Inequalities

**Solving Systems of Equations in Two and Three Variables**

Characteristics of Systems of Equations

What is a System of Equations?

How do you solve a system of equations by graphing?

Classifying Systems of Equations by Graphing

How do you solve a system of equations using substitution?

How do you solve a system of equations using elimination?

Multiply, Then Use Elimination

Graphing Inequalities

What is a system of inequalities?

Solving a System of Inequalities by Graphing

Solving a System of Equations (Graphing, Substitution,

and Elimination)

Systems of Equations in Three Variables

14 Steps for Solving a System of Equations in Three Variables with Elimination

9 Steps for Solving a System of Equations in Three Variables with Substitution

What is a Matrix?

What are Equal Matrices?

Adding and Subtracting Matrices

Steps for Multiplying Matrices

Multiplying Matrices

Name that Matrix

Matrices: Special Types

The Product of a Scalar and a Matrix

Modeling Motion with Matrices

What is a Vertex Matrix/Translation Matrix?

How do you Translate a Shape using Matrices?

Reflection Matrices

Rotation Matrices

How do you Complete a Reflection or Rotation of a Shape Using a Matrix?

How do you Dilate a Shape Using a Matrix?

**Determinants and Multiplicative Inverses of Matrices**

What is a Determinant?

Formula for Finding the Determinant of a 2x2 Matrix

Steps for Finding the Determinant of a 3x3 Matrix

Finding the Determinant of a 3x3 Matrix

Steps for Finding the Determinant of a 3x3 Matrix Using Diagonals

Finding the Determinant of a 3x3 Matrix Using Diagonals

Cramer's Rule for Two Variables

Cramer's Rule for Three Variables

Multiplicative Inverse of a Matrix

Solving Systems of Equations Using Matrix Equations in 4 Steps

**Polynomials, Radicals, and Complex Numbers**

What is a monomial?

What is a negative exponent?

Rules of Exponents

Simplifying Expressions with Exponents

Scientific Notation

Multiplying Numbers in Scientific Notation

Dividing Numbers in Scientific Notation

What is a polynomial?

What is the degree of a polynomial?

Polynomials: Add, Subtract, and Multiply

Multiplying Binomials Using the F.O.I.L Method

Multiplying Polynomials

Dividing a Polynomial by a Monomial

Polynomial Division (Long-Division Method)

Polynomial Division (Using Synthetic Division)

Factoring Techniques (Handout)

What is Factoring?

Greatest Common Factor

Polynomial and GCF (Match)

Factoring Polynomials (Handout)

Factoring Second Degree Trinomials with a Coefficient of One on the Second Degree Term into a Product of Binomials

Factoring Second Degree Trinomials into the Product of Binomials Using the “X” Method

Factoring Polynomials with Four or More Terms Using Grouping

Special Factoring Techniques for Polynomials with Two Terms

Square and Square Root Review with Whole Numbers

Cube and Cube Root Review with Whole Numbers

Definition of nth Root

Principal Root

Real nth Roots

Finding Roots

Simplifying Roots Using Absolute Values

Rules for Simplifying Square Roots

Finding the Square Root of a Product

Finding the Square Root of a Quotient

Multiplying Radicals

Adding and Subtracting Radicals

Multiplying Binomials with Radical Terms Using the F.O.I.L. Method

Using a Conjugate to Rationalize a Denominator

Rational Exponents and Radicals

Evaluating Expressions with Rational Exponents

Expressions with Radicals

Expressions with Rational Exponents

Solve a Radical Equation (Square Root)

Solve a Radical Equation with an Extraneous Solution

Solve a Radical Equation (Cube Root)

Solve a Radical Inequality

Solving Radical Inequalities

What is an imaginary unit?

Square Roots of Negative Numbers

Multiply Pure Imaginary Numbers

Solving Equations with Imaginary Solutions

What is a complex number?

Equate Complex Numbers

Add and Subtract Complex Numbers

Multiplying Complex Numbers Using the F.O.I.L. Method

Using a Conjugate to Divide Complex Numbers

Graphing Quadratic Functions Using a Table of Values

Finding the Y-Intercept, Axis of Symmetry, and Vertex of a Quadratic Function

Graphing Quadratic Functions Using a Table of Values, the Y-Intercept, Axis of Symmetry, and the Vertex

Maximum and Minimum Values

Solutions to Quadratic Equations

Estimating Roots After Graphing a Quadratic Equation

Solving Quadratic Equations without Factoring

Write an Equation Given Roots

Steps for Completing the Square

Solving a Quadratic Equation Using the Quadratic Formula

Solving a Quadratic Equation by Completing the Square

What can the discriminant tell you about the roots of a quadratic function?

Quadratic Functions in Vertex Form

Write a Quadratic Equation in Vertex Form

Write an Equation Given the Vertex and a Point on the Parabola

Graphing a Quadratic Inequality

**Polynomial and Rational Functions**

Review: Finding the Degree and Leading Coefficient of a Polynomial in One Variable

Evaluating a Polynomial Function for a Given Value

Evaluating a Polynomial Function for a Variable or Algebraic Expression

Graphs of Polynomial Functions (Handout)

Graphs of Polynomial Functions Reflection

End Behavior of Polynomial Functions

Graphs of Polynomial Functions

The Fundamental Theorem of Algebra

Write a polynomial equation with the given roots.

Find the roots of a function and graph.

Locate the zeros of a function by graphing.

Finding the relative maximum and minimum by graphing.

The Location Principle

Reviewing Polynomial Factoring Techniques

Factoring Polynomials

Solving Polynomial Functions Using Quadratic Techniques

What can the discriminant of the quadratic formula tell you about the roots of the equation?

Writing Polynomial Equations in Quadratic Form

Solve a Quadratic Equation by Completing the Square

Solve a Quadratic Equation Using the Quadratic Formula

The Remainder and Factor Theorems

Using Synthetic Division to Divide a Polynomial by a Binomial

Rational Root Theorem and Descartes’ Rule of Signs

Use Descartes’ Rule of Signs and the Rational Root Theorem to Determine the Zeros of a Function

The Rational Root Theorem and Integral Zero Theorem

Use Descartes’ Rule of Signs and the Rational Root Theorem to Determine the Zeros of a Function (Leading Coefficient Does Not Equal 1)

Solving Rational Equations

Decomposing a Rational Expression into Partial Fractions

Solving Radical Equations

Solving Radical Equations with More than One Radical

Graphing a Radical Equation

What is the distance formula for two points?

What is the slope formula for two points?

What is the midpoint formula for two points?

How do you cut the cones to make the conic sections?

Equations of Circles

Writing the Equation of a Circle Given Endpoints of a Diameter

Analyzing Equations of Circles

Circles Tangent to an Axis

Use a system of equations to find the center and radius of a circle given three points on the circle.

Ellipse: Label the Diagram

Ellipse: Equations that you need to know.

Writing the Equation of an Ellipse Given Endpoints of Axes

Writing the Equation of an Ellipse Given the Length of the Axes and the Center

Analyzing the Equation of an Ellipse (Horizontal Major Axis)

Analyzing the Equation of an Ellipse (Vertical Major Axis)

Steps for writing the equation of an ellipse in standard form when given an equation in general form.

Hyperbola: Label the Diagram

Hyperbola: Equations that you need to know.

Writing the Equation of a Hyperbola Given Vertices and the Length of the Conjugate Axis

Writing the Equation of a Hyperbola Given Vertices and Foci

Analyzing the Equation of a Hyperbola (Horizontal Transverse Axis)

Analyzing the Equation of a Hyperbola (Vertical Transverse Axis)

Steps for writing the equation of a hyperbola in standard form when given an equation in general form.

Parabola: Label the Diagram

Parabola: Equations that you need to know.

Analyzing Equations of Parabolas (Parabola Opens Up or Down)

Analyzing Equations of Parabolas (Parabola Opens Left or Right)

Steps for writing the equation of a parabola in standard form when given an equation in general form.

General Form of a Conic Section

Identify the conic section represented by each equation.

Steps for finding a rectangular equation given a parametric equation of a conic section.

Conic Section Review Sheet (2 pages)

Solving a System of Equations in Three Variables by Substitution (Review Sheets)

**Rational Expressions and Equations**

What is a rational expression?

Simplify a Rational Expression by Cancelling Out the GCF

Simplify by Factoring Out -1

Multiplying Rational Expressions

How do you multiply rational expressions?

Dividing Rational Expressions

How do you divide rational expressions?

How do you multiply rational expressions with polynomials in the numerator and denominator?

How do you divide rational expressions with polynomials in the numerator and denominator?

What is a complex fraction?

Simplify a Complex Fraction

Least Common Multiple of Monomials

Least Common Multiple of Polynomials

Adding Rational Expressions

Adding Rational Expressions with Monomial Denominators

Subtracting Rational Expressions

Subtracting Rational Expressions with Monomial Denominators

Adding Rational Expressions with Polynomial Denominators

Subtracting Rational Expressions with Polynomial Denominators

Terms to Know When Graphing Rational Functions

Vertical Asymptotes and Point Discontinuity

Graphing a Rational Function with a Vertical Asymptote

Graphing a Rational Function with Point Discontinuity

What is a rational equation?

Solve a Rational Equation

Why is it important to check your answers when you are solving rational equations?

What is a rational inequality?

Solve a Rational Inequality

**Exponential and Logarithmic Functions**

Review: Properties of Exponents

Simplifying Exponential Expressions

Evaluating Exponential Expressions

Radicals and Rational Exponents

Graph an Exponential Function

Graph an Exponential Inequality

Formulas: Population Growth/Decline and Value of Investments

What is e?

Formulas with e: Exponential Growth/Decay (e)/Continuously Compounded Interest (e)/Compound Interest

Logarithmic Functions

Converting between Logarithmic and Exponential Functions

Properties of Logarithms

Common Logarithms

Expanding Expressions with Common Logarithms

Change of Base Formula

Using Logarithms to Solve Exponential Equations

Natural Logarithms

Converting Logarithms to Natural Logarithms

The Inverse of Ln

Use a Natural Logarithm to Solve an Exponential or Logarithmic Equation.

Formula: Doubling Time of an Investment

Parts of an Angle (Match)

Positive and Negative Angles

Standard Position

Quadrantal Angles

Measuring Angles in Degrees, Minutes, and Seconds

Expressing Decimal Degree Measures in Degrees, Minutes, and Seconds

Determine the Angle Measure of a Clockwise Rotation Around the Coordinate Plane

Determine the Angle Measure of a Counterclockwise Rotation Around the Coordinate Plane

Coterminal Angles and Reference Angles

Which Quadrant is your Angle in?

Using Quadrants to Figure out Reference Angles

Find the Measure of the Reference Angle

Review of the Pythagorean Theorem

Find the Six Trigonometric Ratios for Angle A

Trigonometric Ratios (Sine, Cosine, and Tangent)

Reciprocal Trigonometric Ratios (Cosecant, Secant, and Cotangent)

Special Right Triangle Relationships

Trigonometric Ratios for 30°, 45°, and 60°

Cofunctions

Unit Circle on a Coordinate Plane

The Six Trigonometric Functions on the Unit Circle

Using the Unit Circle to Find Values of Trigonometric Functions

Trigonometric Functions of an Angle in Standard Position

Find the Values of the Six Trigonometric Functions for an Angle in Standard Position Given a Point on its Terminal Side

Using Trigonometric Functions to Solve Problems Involving Right Triangles

Frequently Used Values from the Unit Circle

Inverses of Trigonometric Functions

Solve an Equation Using the Inverse of Trigonometric Functions

Evaluate an Expression with an Inverse Function Multiplied by a Function

Solve a Right Triangle Using Trigonometric Ratios and the Pythagorean Theorem

The Law of Sines

Formulas for Finding the Area of Triangles (Given Two Sides and an Angle Measure)

Formulas for Finding the Area of Triangles (Given Two Angles and a Side Measure)

The Law of Cosines

Hero’s Formula

**Graphing Trigonometric Functions**

Radians

Radian Measures and Their Degree Equivalents

Length of an Arc

Area of a Circular Sector

Angular and Linear Velocity

Properties of the Graph y = sin x

Properties of the Graph y = cos x

Finding the Amplitude and Period of Sine and Cosine Functions

Phase Shifts

Midline

Vertical Shifts

Graphing Sine and Cosine Functions

Properties of the Graph of y = tan x

Properties of the Graph y = cot x

Properties of the Graph y = csc x

Properties of the Graph y = sec x

Period of Trigonometric Functions

**Arithmetic Sequences and Series**

Terms to Know for Arithmetic Sequences

Arithmetic Sequences: Finding the Next Terms

Arithmetic Sequences: Finding the nth Term

Arithmetic Sequences: Write an Equation for the nth Term

Finding Arithmetic Means

Arithmetic Sequence vs. Arithmetic Series

Two Formulas for Finding the Sum of an Arithmetic Series

Find the Sum of an Arithmetic Series

Find the First Term in the Arithmetic Series

Find the First Few Terms in the Arithmetic Series

What is Sigma Notation?

Two Ways to Evaluate a Sum in Sigma Notation

**Geometric Sequences and Series**

Geometric Sequences

Geometric Sequences: Finding the Next Terms

Geometric Sequences: Finding the nth Term

Geometric Sequences: Write an Equation for the nth Term

Find a Term in the Sequence Given a Term in the Sequence and the Common Ratio

Finding Geometric Means

Geometric Sequence vs. Geometric Series

Two Formulas for Finding the Sum of a Geometric Series

Find the Sum of a Geometric Series

Finding the Sum of a Geometric Series When You are Not Given n

Find the First Term of a Geometric Series

Find the Indicated Term of a Geometric Series

What is Sigma Notation?

Two Ways to Evaluate a Sum in Sigma Notation

Finding the Sum of an Infinite Geometric Series

What is Sigma Notation?

Two Ways to Evaluate a Sum in Sigma Notation

Finding the Sum of an Infinite Geometric Series

What is Sigma Notation?

Sum of an Infinite Geometric Series in Sigma Notation

Please see individual units for detailed previews.

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