Curated OER
Completing the Square
Students explore problem solving through completing the square of a number. After a teacher demonstration, students solve squares of problems by beginning with simple squares and then culminating in solving a squared polynomial. ...
Curated OER
The Discriminant
In this discriminant worksheet, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
Curated OER
Perfect Squares and Factoring
In this perfect square worksheet, students factor perfect square trinomials and polynomials. They identify trinomials and polynomials that are perfect squares. This one-page worksheet contains 21 problems.
Curated OER
Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
Curated OER
Unit II - Version 5.0 - Worksheet 1 - Time & Distance
In this time and distance worksheet, students read story problems and determine the distance between points. They factor polynomials and solve exponential equations. Students simplify equations through factoring. This seven-page...
Curated OER
The Rational Root Theorem
In this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
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Radicals
In this algebra activity, students solve problems with roots and identify the parts of the graph that is continuous. There are 6 questions.
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Polynomial Functions
For 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...
EngageNY
Obstacles Resolved—A Surprising Result
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.
Curated OER
Watch Your P' and Q's
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, learners 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. Learners...
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Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Curated OER
More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. In this finding zeros of polynomials worksheet, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...
HHS Math
Assignment 1.6: Solving Quadratic Equations
Practice solving different types of quadratic equations with these three worksheets. Problems include equations already factored, simple square root problems, and problems requiring different factoring techniques where the highest degree...
Curated OER
Factoring Trinomials
Students factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
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Factoring Perfect Squares
In this factoring learning exercise, students factor perfect squares. Explanations and examples are provided at the beginning of the learning exercise. This two-page learning exercise contains ten problems.
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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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Quadratic Rules and Graphs
Students identify the properties of quadratic equations. For this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Solving Square Root and Other Radical Equations
In this Algebra II learning exercise, 11th graders solve equations involving radical equations. The learning exercise provides an explanation and worked examples. The two page learning exercise contains three problems. Solutions are...
Virginia Department of Education
Curve of Best Fit
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...
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.