Illustrative Mathematics
Building a Quadratic Function Form
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
Illustrative Mathematics
Identifying Quadratic Functions
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
CK-12 Foundation
Quadratic Functions and Their Graphs: Soccer Ball Trajectory
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...
Radford University
How High Can You Throw?
Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
Curated OER
Dorothy and Kansas: A Volume Problem
This learning exercise contains 1 Algebra II scenario where students must determine the volume of a tornado, Kansas, and the space needed to take all of Kansas to OZ. Full explanation with equations are included.
Curated OER
Parabolic Paths
Students investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
Curated OER
Conic Sections Applications and Properties
In this algebra learning exercise, 11th graders graph parabolas and figure out the major axis and minor axis of the graph. They also find the focus. There are 4 problems on this learning exercise.
Curated OER
Graphing Conics
Students explore conics using four different graphs. In this calculus lesson, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
Curated OER
Maxima Minima Problems
In this algebra worksheet, students find the maxima and the minima of the parabola. They calculate the maximum and minimum area and apply the formulas of polygons to help them solve equations. There are 8 questions with an answer key.
Curated OER
Quadratic Functions
For this algebra worksheet, students factor quadratic equations and graph their resulting parabola. They relate quadratics to real life scenario. There are 20 questions with an answer key.
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
Curated OER
Graphing Polynomial Functions
In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Curated OER
Maxima and Minima
For this algebra worksheet, students discuss the origin of maxima and minima. They solve problems using the maxima and minima and graph parabolas and other functions containing a maxima and minima.
Curated OER
Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
Curated OER
Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
Curated OER
Parabolas in Flight
Students utilize a trajectory formula in order to discover the physics of a thrown ball. In this physics lesson, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the video...
Curated OER
Lesson 5: The Quadratic Formula
Pupils plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Curated OER
Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Curated OER
Translating Parabolas
Students make informed choices among technology systems, resources, and services. They select and apply technology tools for research, information analysis, problem solving, and decision making in content learning.
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and...
Curated OER
Graphing Quadratic Functions
Students graph quadratic functions. In this algebra lesson plan, students identify the vertex and intercepts of a quadratic equations and graph the parabola. They find the axis of symmetry and make a table to find the values of the...
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