+
Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
+
Assessment
1
1
Balanced Assessment

Alcohol Level

For Students 9th - 12th Standards
How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.
+
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
+
Lesson Plan
Curated OER

An Introduction to Polynomial Functions

For Teachers 10th - Higher Ed
In this introduction to polynomial function worksheet, learners classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response problem...
+
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
+
Lesson Plan
Curated OER

Piecewise-Defined Functions 1

For Teachers 10th - 11th
In this piecewise-defined function, students explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
+
Lesson Plan
Curated OER

Solving Various Algebraic Equations for Real and Imaginary Roots

For Teachers 10th - 12th
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
+
Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
+
Worksheet
Curated OER

Quadratic Equations

For Students 8th - 10th
In this algebra worksheet  uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided. 
+
Lesson Plan
Curated OER

Graphing Lines & Finding Intercepts 1

For Teachers 9th - 10th
In this graphing lines worksheet, pupils examine given linear equations. They graph each linear equation, and identify the x and y-intercept of each problem. Students create six graphs of given equations.
+
Worksheet
Curated OER

Using a "Natural Function" not a equation to discuss derivatives

For Students 12th - Higher Ed
In this derivative worksheet, students relate the concept of the derivative to the "real world" model of seasons.  Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this model. ...
+
Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35 multip-step problems.
+
Lesson Plan
Curated OER

Discriminating Against the Zero

For Teachers 9th - 12th Standards
Students explore the concept of quadratic equations.  In this quadratic equations lesson plan, students find the roots or zeros of quadratic equations using the quadratic formula.  Students give examples of functions with 2 real,...
+
Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the vertex given...
+
Worksheet
Curated OER

More on Factors, Zeros, and Dividing

For Students 10th - 12th
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.
+
Lesson Plan
Curated OER

Solving Quadratic Equations by Factoring

For Teachers 9th
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
+
Worksheet
Curated OER

Factoring Polynomials

For Students 9th
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
+
Worksheet
Curated OER

Graphing Applications

For Students 7th - 12th
In this graphing applications learning exercise, students derive equations for 4 word problems. Students then define variables, find intercepts, graph the equations, and interpret the slopes.
+
Worksheet
Curated OER

Graphing a Rational Function

For Students 10th - 12th
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function.  A grid for the graph is provided.
+
Worksheet
Curated OER

Linear Equations

For Students 8th - 10th
For this linear equation worksheet, students answer 10 multiple choice questions involving writing the equation of lines and identifying linear equations in the coordinate plane.
+
Worksheet
Curated OER

Graphing Linear Equations

For Students 8th - 12th
In this linear equations worksheet, students graph 2 linear equations using x- and y- intercepts. Students then graph 2 additional equations using the slope and y-intercept method.
+
Worksheet
Curated OER

X-Intercepts

For Students 9th - 10th
In this x-intercepts, students explore the equations of a line, set "y" equal to zero to determine the x-intercept. Explanations and examples are provided. This two-page worksheet contains ten problems.
+
Lesson Plan
Curated OER

More On Graphing Linear Equations

For Teachers 9th - 10th
For this linear equation worksheet, students graph linear equations and identify the x or y-intercept. There are nine graphing equations on this two-page worksheet.
+
Lesson Plan
Curated OER

More Graphing With Intercepts

For Teachers 9th - 10th
In this graphing worksheet, learners graph linear equations. They identify the x or y-intercept. Coordinate planes are available below each equation. Nine problems are provided on this two-page worksheet.