Performance

For Teachers 9th - 12th Standards
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...
Performance

#### Projectile Motion and Quadratic Functions

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

For Teachers 9th - 12th Standards
Scholars investigate transforming parabolas.  For 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,...
Instructional Video17:08
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Flipped Math

#### Measuring Angles

For Students 9th - 12th Standards
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,...
Worksheet
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Flipped Math

For Students 9th - 10th Standards
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...
Instructional Video19:42
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Flipped Math

For Students 9th - 10th Standards
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...
Instructional Video16:49
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Flipped Math

For Students 9th - 10th Standards
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....
Instructional Video15:36
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Flipped Math

For Students 9th - 10th Standards
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...
Instructional Video24:22
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Flipped Math

For Students 9th - 10th Standards
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...
Performance

#### Maximizing Light Through a Window

For Teachers 9th - 12th Standards
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...
Performance

#### How to Calculate and Analyze the Equation for a Parabolic Path

For Teachers 9th - 12th Standards
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...
Performance

#### How High Can You Throw?

For Teachers 9th - 12th Standards
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,...
Unit Plan
PBS

#### Accessible Shapes

For Teachers 6th - 8th Standards
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....
Interactive
PHET

For Students 8th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

For Students 8th - 10th Standards
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...
Activity
101 Questions

#### Small Trebuchet

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

#### Ellipses: The Ellipse

For Students 11th - Higher Ed Standards
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,...
Interactive
CK-12 Foundation

#### Identification of Angles by Vertex and Ray

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

#### Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

#### Identification of Quadratic Models: UFO Launch

For Students 10th - 12th Standards
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...
Interactive
CK-12 Foundation

For Students 9th - 12th Standards
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...
Assessment
Illustrative Mathematics

#### Building an Explicit Quadratic Function by Composition

For Students 9th - 12th Standards
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...
Assessment
Illustrative Mathematics

#### Identifying Quadratic Functions (Vertex Form)

For Students 9th - 12th Standards
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...
Lesson Plan
West Contra Costa Unified School District

#### Quadratic Equations — What We Know

For Teachers 8th - 10th Standards
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...