PBL Pathways
Students and Teachers 2
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...
Curated OER
Polynomial Functions
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....
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
Curated OER
Exponential Growth versus Polynomial Growth
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.
Curated OER
Exploring Solving Equations
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.
EngageNY
Graphing Quadratic Functions from Factored Form
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...
EngageNY
Factoring Extended to the Complex Realm
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...
EngageNY
The Special Role of Zero in Factoring
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...
02 x 02 Worksheets
Factoring
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.
Illustrative Mathematics
Running Time
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...
Curated OER
Differentiation Quiz
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
Curated OER
Multiplicity of Zeros of Functions
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.
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
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...
Curated OER
Multiplying Polynomials using the Distributive property.
Students factor polynomial functions. In this algebra activity, students solve problems through factoring and distribution of the negative sign correctly.
Curated OER
Power Function Inverses
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...
Curated OER
Graphing Nonlinear Equations
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.
Curated OER
Taylor Polynomial Examples
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.
Curated OER
Zeros of Polynomials
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...
Curated OER
Polynomial Rollercoaster
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.
Curated OER
Differentiating Special Functions
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...
Texas Instruments
2B or not 2B a Functions
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...
Curated OER
Rational Functions and Their Graphs
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...
Curated OER
Theory of Polynomials
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.
Curated OER
Math 155 Worksheet 1
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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