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Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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Lesson Plan
Curated OER

Graphing Polynomials of Higher Degree

For Teachers 10th - 12th
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
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Lesson Plan
Curated OER

Asymptotes and Zeros

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Students approximate the solutions to rational equations and inequalities by graphing.
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Lesson Plan
Curated OER

Piecewise-Defined Functions 1

For Teachers 10th - 11th
In this piecewise-defined function, young scholars explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
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Lesson Plan
Curated OER

Newton's Method

For Teachers 9th - 12th Standards
Student approximate the roots of E using Newtons Method. In this calculus lesson, learners calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Worksheet
HHS Math

Group Worksheet 1F - Graphing and Finding Zero

For Students 9th - 11th Standards
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
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Worksheet
Curated OER

A Shortcut for Multiplying Large Numbers

For Students 7th - 9th
For this multiplying large numbers worksheet, students read about a shortcut to use when numbers have zeros and are large. They learn to remove the zeros and multiply the non-zero numbers and then add the total number of zeros. They...
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Worksheet
Curated OER

Complex Analysis: Residue Theorem

For Students Higher Ed
In this residue theorem, students classify singularities of functions and use the Cauchy Residue Theorem to evaluate integrals. This two-page learning exercise contains approximately 14 problems.
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Assessment
EngageNY

Mid-Module Assessment Task - Algebra 2 (Module 1)

For Students 10th - 12th Standards
Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Lesson Plan
Curated OER

Watch Your P' and Q's

For Teachers 9th - 12th Standards
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
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Lesson Plan
Curated OER

The Quest for Roots of Higher Order Equations

For Teachers 9th - 12th Standards
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
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Worksheet
Curated OER

2D Wavelet Transform

For Students 12th - Higher Ed
In this 2D wavelet transform worksheet, students compute 9 different types of problems related to using wavelets. They select a set of orthogonal filters, load in any image they want, and compute by the given command. Then, students...
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Assessment
1
1
Balanced Assessment

Alcohol Level

For Students 9th - 12th Standards
How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.
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Activity
Fall River Schools

Parabolas Are All Around Us

For Students 9th - 12th Standards
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...
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Lesson Plan
Curated OER

Polynomial Divisions

For Teachers 8th - 10th
Young scholars factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
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Worksheet
Curated OER

Unit 1, Worksheet 2, Calculator Worksheet

For Students 6th - 9th
In this calculator worksheet, students explore place value, standard notation, and exponential notation. They add, subtract, multiply and divide positive and negative integers with and without a calculator. This three-page worksheet...
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Lesson Plan
Curated OER

The Box Problem

For Teachers 8th - 10th
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
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Worksheet
Curated OER

Numerical Analysis: Introduction to Root Finding

For Students Higher Ed
In this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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Worksheet
Curated OER

Counting Significant Digits

For Students 8th - 12th
In this significant digits worksheet, students are given twelve measurements and they determine the total number of significant digits in each given number.
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Lesson Plan
Curated OER

Standard Linear Form

For Teachers 9th
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
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Lesson Plan
Curated OER

The Box Problem

For Teachers 9th - 12th
Students investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a line...
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Lesson Plan
Curated OER

Newton's Method

For Teachers 10th - 12th
Learners investigate the Newton Method of solving for zeroes of equations. They apply the method to a variety of different problems including the examples provided in the lesson plan. Students find approximations for the roots of an...