CK-12 Foundation
Parabolas: Invisible Graph
Envision the function as the point swings. Given a point connected to another point and a line, pupils trace through an invisible graph. Learners identify the name of the given point and the line and determine the type of conic section...
Curated OER
Bouncing Ball : Function Families
A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
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...
Curated OER
Properties of Parabolas
In this properties of parabolas worksheet, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page worksheet contains 14 problems. Answers are provided...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
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...
Curated OER
Vertex Form of Parabolas
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.
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson plan.
Curated OER
Bouncing Ball
High schoolers collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a...
Curated OER
Find Parabolas through Two Points
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written instructional activity. Learners decide the type of graph represented based on the differences in the function...
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
West Contra Costa Unified School District
Graphing Piecewise Functions
Step up to learn about step functions. The lesson, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and ceiling functions.
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
Quadratic Formula
This worksheet is part of the TI-Nspire lesson on the quadratic formula. Pupils determine the solutions of a quadratic function by looking at a graph and the discriminant. They use the quadratic formula to solve quadratic functions on...
Curated OER
Quadratics and Parabola
In this algebra worksheet, 11th graders graph parabolas using the vertex and axis of symmetry. They apply parabolas to word problems as it applies to paths taken. There are 4 problems with an answer key.
Curated OER
Graphing and Properties of Parabolas
In this graphing learning exercise, students identify the vertex, axis of symmetry, and direction of the opening of a parabola. They graph given equations. This four-page learning exercise contains 18 problems. Answers are provided on...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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.
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas instructional activity, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds...
Curated OER
Quadratic Equations with the CBL 2
Learners practice generating parabolas with a motion sensor while determining the vertex form of the equation. They compare it to the regression equation from the calculator onto a data mate software. Each student completes several...
Curated OER
Parabolas
High schoolers investigate parabolas and their equations. In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator. High schoolers find the axis of symmetry of a parabola. Students...