Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
Radford University
Projectile Motion and Quadratic Functions
Model the flight of a ball. Small groups collect time data for how long it takes to toss a ball between two people. The teacher leads a discussion about projectile motion to get the class thinking about how to calculate the equation of...
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, 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 maximums,...
Flipped Math
Measuring Angles
An informative presentation shows pupils how to name and measure angles. Scholars revisit the different types of angles and their definitions and use their knowledge of what an angle bisector is to solve algebraic problems. At the end,...
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...
Flipped Math
Modeling with Quadratics
Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...
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....
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...
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...
Radford University
Maximizing Light Through a Window
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...
Radford University
How to Calculate and Analyze the Equation for a Parabolic Path
Working in groups, pupils plot three points on the coordinate plane representing three different parabolic paths. Using a calculator, they determine the quadratic regression equation for their models. Each team then figures out the...
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,...
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
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...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
101 Questions
Small Trebuchet
Travel back to medieval time where learning is just a stone's throw away! A video introduction shows a trebuchet (catapult-like machine) as it launches a rock into a lake. Learners use their quadratic modeling skills to predict the...
CK-12 Foundation
Ellipses: The Ellipse
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
CK-12 Foundation
Identification of Angles by Vertex and Ray
Angle ABC is not the same as angle BCA, but it is the same as angle CBA. Help your classes understand naming conventions of angles and, more importantly, the importance of naming angles correctly. Scholars practice the parts of the angle...
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...
CK-12 Foundation
Identification of Quadratic Models: UFO Launch
Build conceptual understanding of graphs of quadratic functions with an out-of-this-world resource. An interactive lesson allows learners to manipulate a graph that models the launch of a UFO. The lesson focuses on the key features of...
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...
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...
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...