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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
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Worksheet
Curated OER

Polynomial Functions

For Students 11th
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Lesson Plan
Curated OER

Exponential Growth versus Polynomial Growth

For Teachers 9th - 12th Standards
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
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Lesson Plan
Curated OER

Exploring Solving Equations

For Teachers 8th - 11th Standards
Put out by Texas Instruments, this activity involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this activity.
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Lesson Plan
EngageNY

Graphing Quadratic Functions from Factored Form

For Students 9th - 10th Standards
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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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
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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Assessment
1
1
Illustrative Mathematics

Running Time

For Students 9th - 12th Standards
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
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Lesson Plan
Curated OER

Differentiation Quiz

For Teachers 11th - 12th
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
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Lesson Plan
1
1
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

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

Multiplying Polynomials using the Distributive property.

For Teachers 9th - 10th
Students factor polynomial functions. In this algebra activity, students solve problems through factoring and distribution of the negative sign correctly.
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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

Graphing Nonlinear Equations

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

Taylor Polynomial Examples

For Teachers 9th - 12th Standards
Students graph Taylor polynomials. In this calculus lesson, 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

Zeros of Polynomials

For Teachers 9th - 12th Standards
High schoolers graph polynomials. In this Algebra II instructional activity, students investigate the graph of a polynomial to determine the value and the number of zeros. This instructional activity requires the use of a graphing...
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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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Worksheet
Curated OER

Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
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Lesson Plan
Texas Instruments

2B or not 2B a Functions

For Teachers 9th - 12th Standards
Learners use their graphing calculators to view graphs of equations. They tell if each equations is or is not a function and are shown pre-set graphs on their graphing calculators. They use the Quick Poll feature to indicate if the graph...
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Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page activity contains explanation of topic, several...
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Worksheet
Curated OER

Theory of Polynomials

For Students 9th - 11th
In this polynomial worksheet, students find all zeros of polynomials. They write polynomials as the product of linear fractions. This two-page worksheet contains 27 problems. The second page provides answers.
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Worksheet
Curated OER

Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus worksheet, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page worksheet contains six problems.  Answers are not included. 

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