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Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
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Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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Unit Plan
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Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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Lesson Plan
EngageNY

Interpreting Quadratic Functions from Graphs and Tables

For Students 9th - 10th Standards
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
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Lesson Plan
Curated OER

Exploring Power Functions 1

For Teachers 9th - 12th Standards
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Lesson Plan
Curated OER

Functions in Motion

For Teachers 6th - 9th
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
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Lesson Plan
Curated OER

Exploring Power Functions 2

For Teachers 9th - 12th Standards
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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Worksheet
Curated OER

Graphing Polynomial Functions

For Students 9th
In this polynomial functions worksheet, 9th graders solve and complete 22 various types of problems. First, they describe the end behavior of each function. Then, students state the maximum number of turns the graph of each function...
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Lesson Plan
Curated OER

Graphical Analysis

For Teachers 9th - 12th Standards
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
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Lesson Plan
Curated OER

Termite Trail Marking Behavior

For Teachers 9th - 12th
Learners examine termites and their trail-marking behaviors. They draw lines on paper with various ink pens and experiment to see which types of ink the termites follow--or which inks do and do not elicit trail marking behavior.
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Lesson Plan
Curated OER

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Lesson Plan
Curated OER

Eighty-Six Various Polynomial Function Problems

For Teachers 11th - Higher Ed
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
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App
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Model Me Kids

Model Me Going Places 2

For Students K - 12th
Social stories are wonderful teaching tools specifically designed for learners with Asperger's, autism, PDD-NOS, non-verbal learning disabilities, or other developmental disabilities. They are used to model appropriate social behaviors...
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Assessment
Mt. San Antonio Collage

Quiz 2: Polynomials

For Students 9th - 12th Standards
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
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Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Lesson Plan
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Curated OER

Multiplicity of Zeros of Functions

For Teachers 9th - 12th Standards
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
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Worksheet
Curated OER

Graphing Radical Functions-A Graphic Introduction

For Students 11th
In this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior.  students use that information to transform the graphs of root functions.  The three...
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Worksheet
Curated OER

Functions

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the end-behavior...
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Lesson Plan
Curated OER

Reciprocals of Quadratic Functions

For Teachers 11th
Eleventh graders investigate inverse functions.  In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Worksheet
Math Guy

Algebra 2 Practice Final

For Students 9th - 12th Standards
Work out to Algebra II with the 50-question activity that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
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Lesson Plan
Curated OER

Polynomial Functions

For Teachers 11th - 12th
Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation for each...