Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle

Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
Pre-Calculus Interactive Notebook Activities and Scaffolded Notes Bundle
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14 Products in this Bundle
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    Bundle 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 410 pages) Pre-Calculus bundle contains a scaffolded notes and interactive notebook activities for 14 units of study, perfect for Pre-Calculus students. There are over 145 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 70 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.

    We are in the process of adding Quick Checks for Understanding to the units in this bundle.

    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

    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

    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

    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

    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 Fnd 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

    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.

    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.

    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 6 Interactive Notebook foldable activities

    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

    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

    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

    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.

    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.

    Related Products
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    Algebra Bundle
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    Simple Proofs in Geometry Bundle
    Algebra 2 Bundle
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    Total Pages
    474 pages
    Answer Key
    N/A
    Teaching Duration
    1 Year
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