Pre-Calculus Interactive Notebook Activities and Guided Notes Bundle

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    Description

    ********* If you have purchased our Algebra 2 Bundle you already have a lot of the material contained in this packet. We have a separate small bundle of the Pre-Calculus items that are not included in the Algebra 2 Bundle so that you can purchase the additional notes for Pre-Calc that are not included in the Algebra 2 bundle.********* You can find that bundle here: Pre-Calculus Add On Bundle for Algebra 2

    This HUGE (over 500 pages) Pre-Calculus bundle contains a guided/scaffolded notes, interactive foldable activities, and quick checks for understanding (exit tickets) for 14 units of study, perfect for Pre-Calculus students. There are over 145 focused 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 150 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. This product also contains over 170 quick checks for understanding that can be used as exit tickets or mini-quizzes. 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.

    Bundle contains the following individual units:

    Linear Relations and Functions

    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 foldable activities and 14 Quick Checks for Understanding

    Solving Systems of Equations in Two and Three Variables

    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 foldable activities and 7 Quick Checks for Understanding.

    Introduction to Matrices

    Includes:

    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?

    Plus 11 Interactive Notebook foldable activities and 8 Quick Checks for Understanding.

    Determinants and Multiplicative Inverses of Matrices

    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 Notebook foldable activities and 7 Quick Checks for Understanding.

    Understanding Graphs – Math Journal Activities

    Includes:

    Point Symmetry/Symmetry with Respect to the Origin/Example/Non-Example

    Line Symmetry (x-axis, y-axis, y=x, and y=-x)

    Parent Graph (Cut and Paste)

    Changes to Parent Functions

    Parent Function (Match)

    Are the Ordered Pairs Solutions to the Inequality?

    Steps for Graphing Non-Linear Inequalities

    Solving Absolute Value Inequalities

    Inverse Relations/Functions

    Continuous vs. Discontinuous Functions

    Discontinuous Functions (Infinite, Jump, Point, and Everywhere)

    How do you test for continuity?

    Using the Continuity Test

    Continuity on an Interval

    End Behavior of Polynomial Functions

    When is a function monotonic on an interval?

    Increasing, Decreasing, and Constant Functions

    Examining the Intervals of a Given Function

    Critical Points (Cut and Paste)

    Extrema (Cut and Paste)

    Defining Key Terms: Asymptotes

    Find the Vertical and Horizontal Asymptotes for a Graph

    Using Parent Graphs to Graph New Functions

    Horizontal vs. Slant Asymptote

    Find the Slant Asymptote and Vertical Asymptote for a Graph

    Rational Functions with a Common Factor in the Numerator and Denominator

    Plus 14 Interactive Notebook foldable activities and 18 Quick Checks for Understanding.

    Polynomial and Rational Functions

    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

    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

    Plus 23 Interactive Notebook foldable activities and 14 Quick Checks for Understanding.

    Vectors and Parametric Equations

    Includes:

    What is a Vector? (with Sample Teacher Key)

    Vector Terms (Matching) (with Teacher Key)

    Types of Vectors (Define/Draw) (with Sample Teacher Key)

    Methods for Adding Vectors (with Sample Teacher Key)

    What is a Scalar Quantity? (with Sample Teacher Key)

    Representing a Vector as an Ordered Pair (with Sample Teacher Key)

    Introduction to Unit Vectors (with Sample Teacher Key)

    Vector Operations in Two Dimensions (with Sample Teacher Key)

    Handout: Graphing Ordered Triples in 8 Steps

    Vector and Magnitude for Two Ordered Triples (with Sample Teacher Key)

    Vector Operations in Three Dimensions (with Sample Teacher Key)

    Inner Product-Dot Product in Two Dimensions (with Sample Teacher Key)

    Inner Product-Dot Product in Three Dimensions (with Sample Teacher Key)

    Using the Determinant of a 3x3 Matrix to Find the Cross Product of Vectors in Space (with Sample Teacher Key)

    Using Vectors to Represent Force (with Sample Teacher Key)

    More Vector Terms (Match) (with Teacher Key)

    Vector Equations and Parametric Equations (with Sample Teacher Key)

    Parametric Equations in Linear Forms (with Sample Teacher Key)

    Projectile/Trajectory/Range (with Sample Teacher Key)

    Intro: Using Parametric Equations to Find the Path of a Projectile (with Sample Teacher Key)

    Writing Parametric Equations to Represent the Path of a Projectile (with Sample Teacher Key)

    Representing a Point in Space as a Matrix (with Sample Teacher Key)

    What is a Vertex Matrix? (with Sample Teacher Key)

    What is a Translation Matrix? (with Sample Teacher Key)

    Handout: How do you Translate a Three-Dimensional Shape Using Matrices?

    Handout: Reflection Matrices

    Handout: How do you Complete the Reflection of a Three-Dimensional Shape Using Matrices?

    Handout: Review-Steps for Multiplying Matrices

    Plus 13 Interactive Notebook foldable activities and 18 Quick Checks for Understanding.

    Introduction to Graphing Polar Coordinates and Classical Curves

    Includes:

    Label the Degree Measures on the Polar Coordinate System

    Label the Radian Measures on the Polar Coordinate System

    Polar Coordinate System Terms (Match)

    Graph a Polar Coordinate in Radians

    Graph a Polar Coordinate in Degrees

    How do you Graph Polar Coordinates with a

    Negative Angle Value?

    Multiple Representations of a Polar Coordinate (Radians)

    Multiple Representations of a Polar Coordinate (Degrees)

    Graphing Basic Polar Equations

    Distance Formula for the Polar Plane

    How to use www.desmos.com to Graph Polar Equations

    Graphs of Polar Equations

    Graphs of Polar Equations (Classical Curves-Rose Curve)

    Graphs of Polar Equations (Classical Curves-Lemniscate Curve)

    Graphs of Polar Equations (Classical Curves-Limacon Curve)

    Graphs of Polar Equations (Classical Curves-Cardiod Curve)

    Graphs of Polar Equations (Classical Curves-Spiral of

    Archimedes Curve)

    Classical Curves Overview (Cut and Paste)

    Plus 5 Interactive Notebook foldable activities and 5 Quick Checks for Understanding.

    Polar Coordinates and Complex Numbers

    Includes:

    Review of Trigonometric Values

    Forms of a Linear Equation (Standard/Rectangular, Normal Form, Polar Form)

    Changing Polar Coordinates to Rectangular Coordinates

    Changing Rectangular Coordinates to Polar Coordinates (x is positive)

    Changing Rectangular Coordinates to Polar Coordinates (x is negative)

    Example: Changing a Polar Equation to Rectangular Form

    Example: Changing Rectangular Form to a Polar Equation

    Polar Form of a Linear Equation

    Example: Changing a Polar Equation in Linear Form to Rectangular Form

    Operations with Complex Numbers

    Powers of i

    Graphing a Complex Number

    Absolute Value of a Complex Number

    Polar Form of a Complex Number

    Changing a Complex Number to Polar Form in 4 Steps

    Graphing a Complex Number in Polar Form

    Changing a Number from Polar Form to Rectangular Form

    Product of a Complex Number in Polar Form

    Quotient of a Complex Number in Polar Form

    De Moivre’s Theorem

    Steps for Finding the Power of a Complex Number

    Steps for Finding the Principle Root of a Complex Number

    Plus 12 Interactive Notebook foldable activities and 17 Quick Checks for Understanding.

    Conic Sections

    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?

    Steps for Determining Whether a Quadrilateral with Given Vertices is a Parallelogram (Worksheet)

    Equations of Circles

    Draw a picture of a circle that is tangent to the x-axis.

    Draw a picture of a circle that is tangent to the y-axis.

    Circles: Standard Form and Graphing

    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.

    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.

    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.

    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 foldable activities and 12 Quick Checks for Understanding.

    Exponential and Logarithmic Functions

    Includes:

    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: 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

    Formula: Doubling Time of an Investment

    Plus 13 Interactive Notebook foldable activities and 14 Quick Checks for Understanding.

    The Trigonometric Functions

    Includes:

    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

    Plus 13 Interactive Notebook foldable activities and 17 Quick Checks for Understanding.

    Graphing Trigonometric Functions

    Includes:

    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

    Plus 7 Interactive Notebook foldable activities and 16 Quick Checks for Understanding.

    Basic Trigonometric Identities and Equations

    Includes:

    Unit Circle Review

    Review: Frequently Used Values from the Unit Circle

    Use the Frequently Used Values from the Unit Circle Table to Find the Value of Each Expression

    Basic Trigonometric Identities

    Match the Basic Trigonometric Identity Pairs

    Using Reciprocal Identities to Find the Value of Trigonometric Functions

    Finding the Value of a Trigonometric Function

    Sometimes You Need to Use More Than One Identity

    Symmetry Identities

    Using Substitution with the Symmetry Identities

    Expressing Values as Trigonometric Functions of an Angle in Quadrant I

    Opposite-Angle Identities

    Using Opposite Angle Identities

    Beginning: Use Trigonometric Identities to Simplify Trigonometric Expressions

    Advanced: Use Trigonometric Identities to Simplify Trigonometric Expressions

    Verifying Trigonometric Identities

    Simplifying Trigonometric Equations

    Plus 7 Interactive Notebook Foldable Activities and 7 Quick Checks for Understanding.

    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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    Total Pages
    525+
    Answer Key
    Included
    Teaching Duration
    1 Year
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