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Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Finding the Real and Complex Roots of a Cubic
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Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Finding the Real and Complex Roots of a Cubic

Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Finding the Real and Complex Roots of a Cubic

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Finding the Real and Complex Roots of a Cubic.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link.

Note: The download is a PDF file.

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To see the complete collection of video transcriptsy, click on this link.

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    Common Core Standards CCSS.MATH.CONTENT.HSN.CN.C.7, CCSS.MATH.CONTENT.HSN.CN.C.8, CCSS.MATH.CONTENT.HSN.CN.C.9, CCSS.MATH.CONTENT.HSF.IF.C.7.C
    Duration 1 minutes
    Grade Range 9 - 12
    Curriculum Nodes Algebra
        • Polynomials
            • Polynomial Functions and Equations
    Copyright Year 2020
    Keywords TI-Nspire, Nspire, TINspire, solving cubics, complex roots

    Princeton Review

    Media4Math's Video Library

    Media4Math's extensive library of videos provides tutorials and applications of algebra and geometry in short-form videos that can easily be incorporated into your lesson plans. these video are aligned to curriculum standards and are meant for student instruction. They can be used in your classroom instruction or you can assign them to students for independent review. Nearly all the videos are closed captioned, providing an additional level of instruction. Many of the videos also include real-world applications of math. Below are brief descriptions of the various video series we offer and links to access these videos.

    • Video Tutorials Library: Consisting of hundreds of short video clips that cover a variety of topics, these videos cover topics and sub-topics for a given concept. This library makes an excellent reference tool for students to independently review. Each video comes with real-world applications of the concept to further contextualize the content. To see the complete library, click on this link. Some of the topics covered in this series include:
      • Polynomial Concepts
      • Algebra Tiles
      • Anatomy of an Equation
      • Counting and Cardinality
    • Algebra Applications Library. This series covers all the key topics from a full-year algebra course and can be used throughout the year. To see the complete video series click on this link. This series focuses on real-world applications of algebraic topics. Each video also includes the use of the TI-Nspire graphing calculator to solve the given problem. All keystrokes are clearly shown. Some of the real-world applications covered include:
      • Earthquake magnitude and intensity
      • Creating an exercise chart
      • Car accident investigation
      • Water pressure and submersibles
      • Animal evolutionary adaptations
      • Mortgages and loans
      • Space travel
      • Green energy
    • Algebra Nspirations Library. This series also focuses on key topics from a full-year algebra course and can be used through the year. This video series uses the Texas Nspirations TI-Nspire as the technology component. All keystrokes are clearly. To see this video library, click on this link. Topics covered include:
      • Data Analysis
      • Functions and Relations
      • Linear Functions and Equations
      • Quadratic Functions and Equations
      • Exponential and Logarithmic Functions and Equations
      • Rational Functions and Equations
      • Probability and Statistics
    • Geometry Applications. This series explores a full year's worth of geometry concepts with compelling real-world applications of geometry. Many of these applications involve architecture. There are also companion GoogleEarth activities to incorporate geography concepts. Too see the geometry applications video series, click on this link. To see the GoogleEarth applications click on this link. Topics covered include the following:
      • Points, lines, and planes
      • Triangles
      • Quadrilaterals
      • Polygons
      • 3D geometry
      • Circles
      • Transformations
      • Coordinate geometry
    • Graphing Calculator Tutorials. Because graphing calculators are used extensively in math classroom, Media4Math has created a series of video tutorials on the use of the Texas Instruments TI-Nspire graphing calculator, as well as the Desmos graphing calculator. These short videos instruct on the use of the calculator in the context of specific math concepts. You will find these videos extremely useful. Here's how to access these resource libraries:
      • The TI asset library can be found by clicking on this link.
      • The Desmos asset library can be found by clicking on this link. This also includes a video series on the use of the Desmos Geometry tools.
    • Closed Captioned Video Library. Our videos also come in a closed captioned format. The format of our closed captions does not interfere with the video content. These closed captions are an ideal supplement to the instruction. To access the closed-captioned library, click on this link.
    • Anatomy of an Equation. This video series provides detailed, line-by-line analysis for equations solving. Specific equations covered include: one-step equations, two-step equations, and quadratic equations. These tutorials are extremely useful when instructing students on the basics of equation solving. To see this video series, click on this link.
    • Brief Reviews. These videos cover a number of pre-algebra topics in short-form video format. To see the complete collection of these videos, click on this link. Some of the topics include:
      • Integers
      • Comparing and ordering integers
      • Integer operations
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      • Variable expressions
      • Order of operations

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    Percents: Fraction-Percent Conversion Measures of Central Tendency: Weighted Mean Percents: Calculating Tax
    Integers: Variable Expressions with Integers Anatomy of an Equation: Two-Step Equations 11 Integers: Dividing Integers
    Slope Formula: Positive Slope, Coordinates in Quadrant IV Geometry Applications: Transformations, Segment 1: Translations and Rotations. Algebra Nspirations: Linear Functions, Segment 3
    TI-Nspire Mini-Tutorial: Midpoint Formula Template TI-Nspire Mini-Tutorial: Finding the Median of a Data List Algebra Nspirations: Rational Functions and Expressions
    Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude. Anatomy of an Equation: Quadratic Equations 4 Geometry Applications: Points and Lines, Segment 1: Introduction
    Place Value--Making Tens Fractions: Multiplying Three Fractions TI-Nspire Mini-Tutorial: Composite Functions, Linear to Polynomial
    Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage? Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss Algebra Applications: Linear Functions, Segment 1: Introduction
    Geometry Applications: Polygons, Segment 3: Composite Figures Anatomy of an Equation: One-Step Multiplication Equations Algebra Nspirations: Solving Systems of Equations, Segment 1
    Rational Numbers: Multiplying Rational Numbers Algebra Tiles: Solving Two-Step Equations Using Algebra Tiles Algebra Applications: Rational Functions, Segment 3: Hubble Telescope
    Ratios, Proportions, and Percents: Calculating Percents Ratios: Numerical Models for Ratios Integers: Integers and Exponents
    Measures of Central Tendency: Finding the Mean of a Data Set I Desmos Geometry Exploration: Points Algebra Applications: Exponential Functions, Segment 2: What Is an Earthquake?
    TI-Nspire Mini-Tutorial: (CAS) Solving a Cubic Algebraically and Graphically Algebra Applications: Systems of Equations Slope Formula: Positive Slope, Coordinates in Quadrant II
    Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage? Algebra Nspirations: Exponents and Exponential Functions Algebra Nspirations: Solving Systems of Equations, Segment 3
    TI-Nspire Mini-Tutorial: Composite Functions, Linear to Rational Geometry Applications: Transformations Geometry Applications: 3D Geometry, Segment 2: Pyramids
    The Distributive Property: a(x - b), all constants positive One-Step Equations: Multiplication Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles
    Ratios and Rates: Rates from Data TI-Nspire Mini-Tutorial: Composite Functions, Linear to Radical Desmos Geometry Exploration: Lines, Rays, Segments
    Anatomy of an Equation: Quadratic Equations 5 TI-Nspire Mini-Tutorial: Finding the Zeros of a Quadratic Function Using TRACE Feature Algebra Applications: Rational Functions
    The Distributive Property: a(x + b), all constants positive Anatomy of an Equation: Two-Step Equations 7 TI-Nspire Mini-Tutorial: Creating a Random Number Table
    Linear Functions: Negative Slope, Positive y-Intercept Quadratics: Using the Discriminant to Test for Solutions to Quadratic Equations Algebra Applications: Quadratic Functions, Segment 4: Medicine
    Measures of Central Tendency: Finding the Median of a Data Set Algebra Applications: Data Analysis, Segment 1: Introduction Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths
    The Distributive Property: a(bx + c), a negative, b and c positive Geometry Applications--What Are Prisms? Measures of Central Tendency: The Mean and Normally Distributed Data
    Algebra Applications: Systems of Equations, Segment 1: Profit and Loss Desmos Geometry Exploration: Intersecting Lines and Planes Place Value--Counting by 10's
    Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids Place Value: Comparing and Ordering Decimals Using Place Value Measures of Central Tendency: Mean of a Probability Distribution
    Percents: The Percent One Number is of Another Algebra Nspirations: Functions and Relations TI-Nspire Mini-Tutorial: Exploring Quadratic Functions in Standard Form Using Sliders
    Integers: Comparing and Ordering Integers Algebra Applications: Quadratic Functions, Segment 1: Introduction One-Step Equations: Subtraction
    Fractions: Adding Fractions by Using Equivalent Fractions I Percents: Applications of Percent -- Grade Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square
    Percents: Percents and Multiples of Numbers Algebra Nspirations: Inequalities Geometry Applications--Antiprisms
    Slope Formula: Negative Slope, Coordinates in Quadrants III and IV TI-Nspire Mini-Tutorial: Finding the Intersection Point of Two Graphs Fractions: Multiplying Two Fractions
    TI-Nspire Mini-Tutorial: Finding the Zeros of a Quartic Function Using Function Intersection TI-Nspire Mini-Tutorial: Matrix Addition and Multiplication (3 x 3 Matrices) Fractions: Multiplying by Fractions Greater Than 1
    Anatomy of an Equation: Two-Step Equations 10 Two-Step Equations: Multiplication and Subtraction Anatomy of an Equation: One-Step Addition Equations
    Fractions: Dividing Unit Fractions by Whole Numbers Fractions: Adding Mixed Numbers by Using Equivalent Fractions II Geometry Applications: 3D Geometry
    Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles Ratios: Equivalent Ratios TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions
    TI-Nspire Mini-Tutorial: Graphing a Scatterplot Using a Graphs and Geometry Window Place Value: Comparing and Ordering Whole Numbers Using Place Value Algebra Tiles: Solving One-Step Equations Using Algebra Tiles
    Anatomy of an Equation: Two-Step Equations 9 Ratios and Proportions: What Are Proportions? Slope Formula: Negative Slope, Coordinates in Quadrant III
    Fractions: Adding Fractions by Using Equivalent Fractions II The Distributive Property: a(bx - c), all constants negative Algebra Nspirations: Inequalities, Segment 3
    Fractions: Dividing Two Fractions TI-Nspire Mini-Tutorial: (CAS) Solving a Quadratic Algebraically and Graphically Fractions: Subtracting Mixed Numbers by Using Equivalent Fractions I
    Percents: Calculating Commissions and Tips TI-Nspire Mini-Tutorial: Graphing a Linear Function Geometry Applications: Polygons, Segment 1: Introduction
    Linear Functions: Positive Slope, Zero y-Intercept Algebra Nspirations: Variables and Equations, Segment 3 Fractions: Subtracting Mixed Numbers by Using Equivalent Fractions II
    Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry. Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths Algebra Nspirations: Data Analysis and Probability, Segment 1
    Percents: Percent Increase TI-Nspire Mini-Tutorial: Exploring Radical Function Graphs with Sliders Anatomy of an Equation: Two-Step Equations 5
    Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles
    TI-Nspire Mini-Tutorial: Composite Functions, Linear to Trigonometric TI-Nspire Mini-Tutorial: Using the Coordinate TRACE Feature Algebra Applications: Quadratic Functions, Segment 2: Pyrotechnics
    TI-Nspire Mini-Tutorial: Exploring Logarithmic Graphs with Sliders Linear Functions: Positive Slope, Negative y-Intercept TI-Nspire Mini-Tutorial: A Probability Simulation of Rolling Two Dice Multiple Times (with Histogram)
    Algebra Applications: Exponential Functions TI-Nspire Mini-Tutorial: (CAS) Finding the Real and Complex Roots of a Cubic TI-Nspire Mini-Tutorial: Composite Functions, Linear to Exponential
    Geometry Applications: Quadrilaterals, Segment 1: Introduction Quadratics: Solving Quadratic Equations with One Solution Measures of Central Tendency: Sample Mean
    Place Value: Rounding Whole Numbers Integers: Adding Integers TI-Nspire Mini-Tutorial: Composite Functions: Linear to Quadratic
    Anatomy of an Equation: Two-Step Equations 6 Algebra Applications: Inequalities, Segment 1: Hybrid Cars Rational Numbers: Rational Numbers and Irrational Numbers
    Algebra Applications: Variables and Equations, Segment 3: River Ratios Ratios and Rates: Converting Measurement Units TI-Nspire Mini-Tutorial: Composite Functions, Linear to Quartic
    TI-Nspire Mini-Tutorial: Finding the Zeros of a Cubic Function Using Function Intersection Counting On Integers: Numerical Expressions with Integers
    Anatomy of an Equation: Linear Equations in Standard Form to Slope-Intercept Form 2: Ax + By = -C Linear Functions: Positive Slope, Positive y-Intercept Rational Numbers: Dividing Rational Numbers
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