Illustrative Mathematics
Identifying Quadratic Functions (Vertex Form)
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
Flipped Math
Quadratics in Vertex Form
It looks different, but yet the same. Scholars view a video that introduces them to the vertex form for a quadratic equation. Pupils realize that though the equation looks different, its graph is still a parabola, and the key features...
EngageNY
Are All Parabolas Congruent?
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.
Flipped Math
Quadratics in Standard Form
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....
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.
Flipped Math
Unit 10 Review: Quadratics
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...
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...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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...
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...
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...
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.
Concord Consortium
Concord Consortium: Quadratic Functions in Vertex Form
Given the equation of a quadratic function in vertex form, students learn to identify the vertex of a parabola from the equation, and then graph the parabola.
Texas Instruments
Texas Instruments: Vertex Form of a Parabola
This set of multiple choice questions asks students to identify parabolas in vertex form, to find the vertices of parabolas, and to determine if their graphs open up or down. Solutions are included.
Texas Instruments
Texas Instruments: Quadratic Equations With the Cbl 2
Students will generate parabolas using the motion sensor. They will then determine the vertex form of the equation and compare it to the regression equation from the calculator.
University of Georgia
University of Georgia: Writing Quadratic Equations
In this lesson, students will learn how to find an equation of a quadratic function when given the vertex of the parabola, and how to find the equation that defines a quadratic function when given three points.
Texas Instruments
Texas Instruments: Exploring Quadratic Data With Transformation Graphing
Students practice with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.
Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola. Students...
Khan Academy
Khan Academy: Features of Quadratic Functions: Strategy
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ('roots') of the function, and the vertex of the parabola.
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ('roots') of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.