Lesson Plan
Curated OER

Standard Form of Quadratic Functions

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

Kitchen Paraboloids

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

Parabolic Paths

For Teachers 9th - 12th Standards
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.
Lesson Plan
Texas Instruments

Let's Play Ball with Families of Graphs

For Teachers 9th - 12th Standards
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
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...
Lesson Plan
Curated OER

Graphs and Ellipses

For Teachers 9th - 12th
High schoolers explore linear graphs, the parabola and the rectangular hyperbola.
Lesson Plan
West Contra Costa Unified School District

Exploring Quadratics and Graphs

For Teachers 6th - 8th Standards
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.
Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

Lesson 5: The Quadratic Formula

For Teachers 9th - 12th
High schoolers 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...
Lesson Plan
Curated OER

Windsail Design

For Teachers 9th - 12th
Students fit quadratic models to windsail designs.  In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size.  Students vary the a-value...
Lesson Plan
Curated OER

Quadratic Formula

For Teachers 10th - 12th
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.
Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
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.
Lesson Plan
Curated OER

Finding the Vertex of a Quadratic Function

For Teachers 9th - 10th
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.
Lesson Plan
Curated OER

A Study of a Quadratic Function

For Teachers 8th - 10th
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.
Lesson Plan
Curated OER

Exploring Quadratic Graphs

For Teachers 7th - 10th
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.
Lesson Plan
Curated OER

Parabolas

For Teachers 10th - 11th
Students review the definition of a parabola. They trace a parabola by locating points the same distance from a point as they are to a line. Students develop an equation for a parabola with its vertex at the origin. Students solve...
Lesson Plan
Curated OER

Parabolas

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

Lesson 1: Exploring Quadratic Graphs

For Teachers 8th - 10th
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...
Lesson Plan
Curated OER

Maximum and Minimum Values

For Teachers 11th
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...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
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...
Worksheet
Curated OER

Graphing Quadratic Functions

For Students 8th - 10th
In this graphing quadratic equations worksheet, students graph 8 quadratic functions. Coordinate grids are included on the worksheet.
Activity
Illustrative Mathematics

Throwing Baseballs

For Teachers 8th - 12th Standards
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...
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
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...
Assessment
Mathematics Assessment Project

Functions

For Students 9th - 11th Standards
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.