Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry.  Solutions are provided.

Get ready to set the standard! Pupils watch a video on how to graph a parabola from a quadratic in standard form without converting the form. Scholars learn how to find the axis of symmetry from the equation and from there the vertex....

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...

This is a teacher page for a lesson and does not include any materials to support the lesson. Students graph quadratic equations with a coefficient of one and create a table of values to graph a quadratic equation. They plot the values...

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...

For this graphing worksheet, high schoolers identify the vertex, axis of symmetry, and direction of the opening of a parabola.  They graph given equations.  This four-page worksheet contains 18 problems.  Answers are...

In this graphs of parabolas worksheet, 10th graders solve 10 different problems that include the graphs of various parabolas. First, they graph the parabola given the equation to determine which way the parabola opens. Then, students...

Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...

Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...

Everything one wanted to know about parabolas in one place. Pupils work 27 problems as a review of the unit on quadratics. Problems range from determining key features of the function and using that information to graph the parabola, to...

This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...

In this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...

In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...

Using their Ti-Nspire to determine the solutions of parabolas, high schoolers explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  High schoolers determine the the axis of symmetry...

Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...

For this quadratic equation worksheet, students graph each quadratic equation, name the axis of symmetry, name the vertex, and identify the solutions of the equation. There are 12 problems on this page.

Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...

Students graph quadratic equations. They use interactive graphs, on CD-ROM, to answer specific equations. Students identify the vertex of a parabola and the axis of symmetry.

Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...

In this quadratic functions worksheet, students solve and complete 16 various types of problems. First, they find the information for each equation and graph each problem on a grid. Then, students write the quadratic functions in...

Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the learning exercise focuses on application type problems. 

High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...

Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...

Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...