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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
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Curated OER

Going Back to Your Roots

For Teachers 9th - 12th Standards
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
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Lesson Plan
02 x 02 Worksheets

Factoring

For Teachers 8th - 11th Standards
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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Lesson Plan
1
1
EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
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Lesson Plan
Curated OER

Interesting Properties of Cubic Functions to Discover Graphically or Numerically

For Teachers 9th - 12th Standards
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function.  They...
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Lesson Plan
Curated OER

Graphing Nonlinear Equations

For Teachers 6th - 7th
Students graph non-linear equations. In this algebra lesson, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
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Lesson Plan
Curated OER

Minimum and Maximum of a Graph

For Teachers 9th - 11th
Students find the solutions of polynomials through graphing. In this algebra instructional activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Young scholars model data using quadratic equations. In this algebra instructional activity, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Lesson Plan
Curated OER

Taylor Polynomial Examples

For Teachers 9th - 12th Standards
Young scholars graph Taylor polynomials. In this calculus lesson plan, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Lesson Plan
Curated OER

Polynomial Rollercoaster

For Teachers 9th - 12th Standards
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
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Lesson Plan
Curated OER

Products of Linear Functions

For Teachers 8th - 10th
Students investigate the horizontal intercepts of functions. For this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
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Lesson Plan
Curated OER

Functions

For Teachers 7th - 10th
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
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Lesson Plan
Curated OER

Applications Of Rational Functions

For Teachers 9th - 12th
Young scholars engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction....
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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

Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
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Lesson Plan
Curated OER

Stretching the Quads

For Teachers 9th - 12th Standards
Scholars investigate transforming parabolas.  In this transforming parabolas instructional activity, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds...
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Lesson Plan
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Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one and...
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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Lesson Plan
Curated OER

Absolute Value of Linear Functions

For Teachers 9th - 10th
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...