Unit Plan
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson applies factoring a quadratic equation to other types of polynomials that are in "quadratic form."
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] A review of the three major methods of solving quadratic functions for ''X'' intercepts.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Building Connections

For Teachers 9th - 10th
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphs of Quadratic Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students review of quadratic function graphing methods. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Website
Purple Math

Purplemath: Numerical Approximation of Zeroes: The Midpoint Method

For Students 9th - 10th Standards
Explains the reasoning and methodology for the process of numerically approximating the zeroes of a non solvable polynomial.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.

For Students 9th - 10th Standards
In Spanish. In this unit you will examine the plot of a second -degree polynomial function. You will establish similarities and differences between the graphs of two second-degree polynomial functions from their coefficients.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Interactive Calculus Tool

For Students 9th - 10th
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Activity
Texas Instruments

Texas Instruments: Hurricane Hunters: Tracking Katrina and Rita

For Teachers 9th - 10th
In this activity students can use data collected on Hurricanes Katrina and Rita to study functions, predictions, and probability models. Students will track the two hurricanes to see how the paths of the hurricanes affected the Gulf...
Handout
Purple Math

Purplemath: Polynomial Graphs: End Behavior

For Students 9th - 10th Standards
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
Activity
Texas Instruments

Texas Instruments: Taylor Polynomials

For Teachers 9th - 10th
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
Activity
Texas Instruments

Texas Instruments: Polynomial Multiplication

For Teachers 9th - 10th Standards
This StudyCard set shows that the product of linear functions (polynomial) is usually quadratic. Students discover the exact product and more traditional methods for multiplying polynomials.
Lesson Plan
PBS

Pbs Teachers: Building Boxes [Pdf]

For Teachers 9th - 10th
By determining the dimensions necessary for building a box with the greatest volume, students will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Running Time

For Teachers 9th - 10th
This task provides an application of polynomials in computing. Students are asked to calculate the running time of algorithms for loading images of different sizes. They then graph the running time polynomials and decide which is more...
Handout
Purple Math

Purplemath: Graphing Rational Functions: Introduction

For Students 9th - 10th Standards
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
Activity
Texas Instruments

Texas Instruments: Math Today: Humidity Makes Air Feel Hotter Iii

For Teachers 9th - 10th
Investigate the relationship among humidity, air temperature, and the heat index while learning about modeling data, evaluating functions, and describing the end behavior of a function. Students will use graphing calculator technology to...
Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial and Rational Functions [Pdf]

For Students 9th - 10th Standards
The resource discusses quadratic functions. Topics examined are parabolas, the vertex, the axis of symmetry, and standard form.
Whiteboard
ClassFlow

Class Flow: Functions and Their Graphs

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
Activity
Texas Instruments

Texas Instruments: Translations of Parent Graphs

For Teachers 9th - 10th
This activity utilizes the TI-Navigator and Activity Center to explore translations of a parent graph.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphs of Power Functions

For Teachers 9th - 10th Standards
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Unknown Type
Khan Academy

Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time

For Students 9th - 10th Standards
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra

For Students 9th - 10th Standards
The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem

For Students 9th - 10th Standards
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Handout
Other

If Only Every Function Were a Polynomial

For Students 9th - 10th Standards
This site explains why not every function is a polynomial and discusses infinite series.

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