Subscribers can download these resources. Register and Subscribe today.
Thumbnail Image | Description | |
---|---|---|
Definition--Quadratics Concepts--The Discriminant |
<h1>Definition--Quadratics Concepts--The Discriminant</h1><p> This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts. </p> |
|
Definition--Quadratics Concepts--Vertex |
Definition--Quadratics Concepts--Vertex
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts. |
|
Definition--Quadratics Concepts--x-intercept |
Definition--Quadratics Concepts--x-intercept
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts. |
|
Definition--Quadratics Concepts--y-intercept |
Definition--Quadratics Concepts--y-intercept
This is a collection of definitions related to quadratic functions, quadratic equations, and related concepts. This includes general definitions for quadratic functions and equations, as well as terms that relate to these broad concepts. |
|
Desmos Activity: Equations of Parabolas 1 |
Derive the equation of a parabola with a vertex at the origin and focus at coordinates (0, f) using a Desmos graphing calculator. There is a companion worksheet for this activity, which subscribers can download. | |
Desmos Activity: Equations of Parabolas 2 |
Derive the equation of a parabola with Focus at coordinates (a, c) and Directrix at y = c using a Desmos graphing calculator. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection |
|
Desmos Activity: Exploring Quadratic Functions in Standard Form |
Explore quadratic functions in standard form using this Desmos graphing calculator activity. In addition to graphing the parabola, it tracks the coordinates of the vertex and the axis of symmetry. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources |
|
Desmos Activity: Exploring Quadratic Functions in Vertex Form |
Explore quadratic functions in vertex form using this Desmos graphing calculator activity. In addition to graphing the parabola, it tracks the coordinates of the vertex and the axis of symmetry. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources |
|
Desmos Activity: Quadratic Functions 1: y = ax^2 |
In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2. This Desmos template allows students to explore the effect of changes in the coefficient a on the graph of the parabola. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these quadratic functions. |
|
Desmos Activity: Quadratic Functions 2: y = ax^2 + c |
In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + c. This Desmos template allows students to explore the effect of changes in the values of a and c on the graph of the parabola. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these quadratic functions. |
|
Desmos Activity: Quadratic Functions 3: y = ax^2 + bx |
In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + bx. This Desmos template allows students to explore the effect of changes in the values of a and b on the graph of the parabola. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these quadratic functions. |
|
Desmos Activity: Quadratic Functions 4: y = ax^2 + bx + c |
In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + bx + c. This Desmos template allows students to explore the effect of changes in the values of a, b, and c on the graph of the parabola. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these quadratic functions. |
|
Formulas--Discriminant |
Formulas--Discriminant
The formula for the Discriminant. |
|
Formulas--Quadratic Formula |
Formulas--Quadratic Formula
The formula for the Quadratic Formula. |
|
INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation |
INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation
In this Algebra Application, students develop a quadratic mathematical model for calculating the speed of a car based on the length of its skid marks. Using this model, students investigate the corresponding parabola. |
|
INSTRUCTIONAL RESOURCE: Algebra Application: Fireworks Displays |
INSTRUCTIONAL RESOURCE: Algebra Application: Fireworks Displays
In this Algebra Application, students develop a quadratic mathematical model based for the path of fireworks. Using this model, students investigate the properties of parabolas, including orientation, y-intercept, and vertex. |
|
INSTRUCTIONAL RESOURCE: Algebra Application: Landing a Satellite on a Comet |
In this Slide Show, learn about a recent space mission to land a satellite on a comet. Note: The download is a PPT file. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored Form |
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored Form
This slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard Form |
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard Form
This slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex Form |
INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex Form
This slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Complex Roots of Quadratic Equations |
INSTRUCTIONAL RESOURCE: Tutorial: Complex Roots of Quadratic Equations
This slide show shows several worked-out examples that show how to calculate the complex roots of quadratics. |
|
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Quadratic Functions |
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Quadratic Functions
In this Slide Show, use the Desmos graphing calculator to explore quadratic functions. To see the complete collection of Desmos Resources click on this link. |
|
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard Form |
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard Form
In this Slide Show, use the Desmos graphing calculator to explore quadratic functions in standard form. To see the complete collection of Desmos Resources click on this link. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Graphs of Quadratic Functions |
INSTRUCTIONAL RESOURCE: Tutorial: Graphs of Quadratic Functions
In this Slide Show, learn about graphs of quadratic functions. |
|
INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions |
INSTRUCTIONAL RESOURCE: Tutorial: Increasing and Decreasing Quadratic Functions
In this presentation, learn how to identify the increasing and decreasing parts of a quadratic function. Cases include equations in vertex and standard form. |