Illustrative Mathematics
Graphs of Quadratic Functions
Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...
Curated OER
Maximize area
For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...
Curated OER
Writing Equations of Parabolas
In this algebra activity, students are given the vertex and focus of each parabola and asked to write the equation of the parabola. They are given the directrix and vertex and asked to write the equation of the parabola. There are 24...
Curated OER
Make Up Test on Solving Quadratics
For this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
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Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
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Parabola With Horizontal Directrix
Students find the vertex, directrix, and focus of a parabola and graph parabolic functions. They solve problems involving parabolas after a demonstration lesson by the teacher.
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Parabola with Horizontal Directrix
Pupils find the vertex, directrix, and focus of a parabola. They graph parabolic functions and solve application problems involving parabalas.
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Parabolas
Students review the definition of a parabola. They trace a parabola by locating points the same distance from a point as they are to a line. Students develop an equation for a parabola with its vertex at the origin. Students solve...
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Parabolas
Students review four types of parabolas. They discuss y=x^2-4x. Students practice working this problem by completing the square. They identify the vertex, focus and directrix of the parabolic formula. Students work several problems...
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Parabola
In this parabolas activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
Flipped Math
Intro to Quadratics
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...
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...
PHET
Graphing Quadratics
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...
Radford University
Discovering Quadratics
Get to know quadratics from a couple of different perspectives. Classmates work in small groups to determine the optimal cooking time for microwave popcorn. Group members pop bags of popcorn for different times and collect data on the...
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? In this cute maximizing-area lesson plan, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...
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Parabolas
In this parabolas worksheet, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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Lesson #150 Parabolas
Students investigate graphing. In this parabola lesson, students review finding the vertex, focus, and diretex of a parabola. An assignment is listed, but not included with the lesson.
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Quadratics: Polynomial Form
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
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Properties of a Parabola
In this algebra instructional activity, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
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Graphs of Quadratic Functions Section 11.6
In this graphing worksheet, students graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function. There...
Curated OER
Graphs of Quadratic Equations
In this math worksheet, students solve the problems that ask for the graph of the parabola. They interpret the quadratic equation for its solutions.
Curated OER
Writing in the Math Classroom
Students determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations instructional activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...