Quadratic Function Teacher Resources

High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this instructional activity are designed for business applications and require complex...

I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...

Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...

Patch up any misconceptions about writing functions. Scholars undertake a performance task that has them first examine a pattern in patchwork cushions. They represent the patterns in triangular and rectangular blocks using a table and as...

What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.

Can theaters increase profits by raising or lowering ticket prices? Using data from the National Association of Theater Owners, classes consider this question. The project-based learning activity includes both a profit and revenue...

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...

Make math class feel more real by using real-world data. Scholars research or collect data on several different topics, such as nutrition, the motion of moving objects, cooling curves, and daylight hours. They create scatter plots using...

Will harm come to the child in the video? Find out by modeling the scenario mathematically! Learners represent the situation with a quadratic model before deciding on a maximum height and time the person is in the air. Too low or not...

Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...

Don't let your knowledge of regression analysis regress. Pupils take part in three activities to learn about regression curves. They research and collect data to predict how long it will take a basketball to hit the ground, find a...

In 2016, one in every four fatal car crashes listed speeding as a contributing factor. Pupils view videos of a car trying to come to a quick stop from four different rates of speed. They use context clues to measure and determine the...

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...

Can you determine how far down a rock drops without visual clues? Viewers observe a clip from a movie testing vertical distance only based on sound. They must determine if it is safe to drop down themselves or if it is farther than their...

Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans. 

Let there be plenty of light. For a perimeter of 10 feet, scholars determine the maximum area of a window composed of a rectangle and a semicircle. They draw diagrams and then write and solve equations to find the height and radius for...

Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.

In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.

In this algebra instructional activity, students calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations....

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...

In this algebra learning exercise, students solve quadratic functions through factoring and graphing. They solve for the area of a rectangular area. There are 20 questions.

Students factor trinomials and other quadratic functions. In this algebra instructional activity, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular...