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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function.  Students...
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Lesson Plan
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Mathematics Assessment Project

Representing Polynomials

For Teachers 8th - 12th Standards
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
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Lesson Plan
Curated OER

Graphing Polynomials

For Teachers 9th - 11th
Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
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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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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Young scholars investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how...
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Lesson Plan
Virginia Department of Education

Transformational Graphing

For Students 9th - 12th Standards
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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Lesson Plan
Curated OER

End Behavior of Polynomial Functions

For Teachers 9th - 10th
Young scholars identify the end behavior of polynomial functions. In this algebra lesson, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect the leading...
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Lesson Plan
Curated OER

Quadratic Functions

For Teachers 8th - Higher Ed
For this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
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Lesson Plan
Virginia Department of Education

Curve of Best Fit

For Teachers 10th - 12th Standards
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
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Lesson Plan
Curated OER

One of the Many Ways

For Teachers 9th - 12th Standards
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
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Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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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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Lesson Plan
Curated OER

Zeros of Polynomials

For Teachers 9th - 12th Standards
Students graph polynomials. In this Algebra II lesson, students investigate the graph of a polynomial to determine the value and the number of zeros. This lesson requires the use of a graphing calculator.
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Lesson Plan
Curated OER

Power Function Inverses

For Teachers 9th - 12th Standards
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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Lesson Plan
Curated OER

Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus instructional activity. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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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
EngageNY

Obstacles Resolved—A Surprising Result

For Students 10th - 12th Standards
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 
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Lesson Plan
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Curated OER

Polynomials: Factors, Roots and Zeroes

For Teachers 9th - 12th Standards
High schoolers factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
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Lesson Plan
Curated OER

Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Lesson Plan
Curated OER

Introduction to Polynomials

For Teachers 7th - 9th
Students analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial
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Lesson Plan
Curated OER

Linear and Quadratic Functions

For Teachers 11th
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
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Lesson Plan
Curated OER

Families of Functions

For Teachers 9th - 12th Standards
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
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Lesson Plan
Curated OER

A Polynomial Quilt

For Teachers 10th
Tenth graders create polynomial quilts. In this polynomials instructional activity, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to...