Curated OER
Dorothy and Kansas: A Volume Problem
This learning exercise contains 1 Algebra II scenario where students must determine the volume of a tornado, Kansas, and the space needed to take all of Kansas to OZ. Full explanation with equations are included.
Curated OER
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
Kitchen Paraboloids
Students solve quadratic equations and identify functions. In this algebra lesson, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
Curated OER
Parabolic Paths
Students investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Confocal Conics
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
Curated OER
Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Curated OER
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...
Curated OER
Lesson 5: The Quadratic Formula
Pupils plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Quadratic Formula
Students factor and solve quadratic equations.In this algebra instructional activity, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Finding the Vertex of a Quadratic Function
Students solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
Curated OER
A Study of a Quadratic Function
Young scholars factor and solve quadratic equations. In this algebra lesson, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
Curated OER
Exploring Quadratic Graphs
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Curated OER
Lesson 1: Exploring Quadratic Graphs
Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...
Curated OER
Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
Curated OER
Quadratics: Polynomial Form
Pupils 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...
Curated OER
Quadratics and Graphing
Students use the Nspire software to graph. In this algebra instructional activity, students graph quadratic equations using technology and graphs. They identify the maximum and minimum of each graph.
Curated OER
Graphing Quadratic Functions
In this graphing quadratic equations worksheet, students graph 8 quadratic functions. Coordinate grids are included on the worksheet.
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.
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...