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# Algebra 2 - Interactive Notebook Activities and Scaffolded Notes

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This HUGE (over 500 pages) Algebra 2 bundle contains a full-year of scaffolded notes and interactive notebook activities for 15 units of study, perfect for Algebra 2 students. There are over 195 scaffolded note activities that 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. There are over 115 interactive notebook activities which 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. You can personalize these for your learners. This bundle is perfect to use with any textbook or e-book curriculum and great for engaging all types of learners.

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

***We are in the process of adding Quick Checks for Understanding to each unit in this bundle.

Bundle contains the following individual units:

Solving Equations and Inequalities **Updated 7/21/17
Includes:

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)
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
Plus 9 Interactive Notebook activities

Linear Relations and Functions **Updated on 7/25/2017
Includes:

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
Plus 12 Interactive Notebook Activities

Solving Systems of Equations in Two and Three Variables **Updated on 7/27/2017
Includes:

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
Plus 10 Interactive Notebook Activities

Introduction to Matrices **Updated on 8/7/2017
Includes:

What is a Matrix?
What are Equal 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?
Plus 11 Interactive Math Notebook Foldable Activities

Determinants and Multiplicative Inverses of Matrices **Updated on 8/13/2017
Includes:

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
Plus 7 Interactive Math Notebook Foldable Activities

Polynomials **Updated on 8/30/2017
Includes:

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?
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 Binomials with Radical Terms Using the F.O.I.L. Method
Using a Conjugate to Rationalize a Denominator
Evaluating Expressions with Rational Exponents
Expressions with Rational Exponents
Solve a Radical Equation (Square Root)
Solve a Radical Equation with an Extraneous Solution
Solve a Radical Equation (Cube Root)
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
Multiplying Complex Numbers Using the F.O.I.L. Method
Using a Conjugate to Divide Complex Numbers
Plus 30 Interactive Notebook activities

Includes:

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
Estimating Roots After Graphing a Quadratic Equation
Write an Equation Given Roots
Steps for Completing the Square
Solving a Quadratic Equation by Completing the Square
What can the discriminant tell you about the roots of a quadratic function?
Write a Quadratic Equation in Vertex Form
Write an Equation Given the Vertex and a Point on the Parabola
Plus 13 Interactive Notebook Activities

Polynomial and Rational Functions **Updated on 9/21/2017
Includes:

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
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
Plus 23 Interactive Notebook Activities

Conic Sections **Updated on 10/15/2017
Includes:

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)
Plus 12 Interactive Notebook Activities

Rational Expressions and Equations **Updated on 11/1/2017
Includes:

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 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
Plus 13 Interactive Notebook activities

Exponential and Logarithmic Functions **Updated on 11/13/2017
Includes:

Review: Properties of Exponents
Simplifying Exponential Expressions
Evaluating Exponential Expressions
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
Plus 13 Interactive Math Notebook Foldable Activities

The Trigonometric Functions
Includes:

Parts of an Angle (Match)
Positive and Negative Angles
Standard Position
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
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
Plus 13 Interactive Math Notebook Foldable Activities

Graphing Trigonometric Functions
Includes:

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
Plus 7 Interactive Notebook Foldable Activities

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
Plus 10 Interactive Notebook Foldable Activities

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
Plus 13 Interactive Notebook activities

Please see individual units for full-length previews.

These units can be used for introducing topics or to reflect/review what you have covered in class discussion. The problems listed in this activity packet build nicely on each other if introduced in the order that they appear. Our students enjoy filling them out and organizing them in their math journals so that they can refer back to them throughout the year. These activities are a great way to promote writing in math.

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534 pages
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Teaching Duration
1 Year
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