When a driver slams the brakes on a car, skid marks are created on the road. Accident investigators can measure the length of the skid marks to estimate the speed of the car. This involves using a quadratic function.

In this module, students use a quadratic model to predict the length of skid marks for various car speeds. The derivation of the quadratic model is shown algebraically and graphically. Students then use the model to solve a quadratic equation, given the total stopping distance.

This module assumes that students are familiar with quadratic functions. Students will get a real understanding for how quadratic functions are used in the real world.

Media4Math Classroom is developing a series of instructional modules for reviewing SAT math topics in detail. These modules review the key skills that are tested on the SAT with a two-pronged approach:

1. Review the basics of the math skills required.
2. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.

In this module there is a thorough review of the topic of linear equations. This module covers four key areas:

1. Slope-intercept form
2. Point-slope form
3. Equations for parallel and perpendicular lines
4. Equations in standard form

Students are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the test.

Make sure your students are familiar with these four topics. While there is plenty of opportunity for concept review, the key to succeeding on the SAT math section is to recognize that questions require a good grasp of the concepts.

 

Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach:

1. Review the basics of the math skills required.
2. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.

In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas:

1. Definition of a quadratic function
2. Definition of a quadratic equation
3. Solving quadratic equations algebraically
4. Solving quadratic functions graphically

Students are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT.

Make sure your students are familiar with these four topics. While there is plenty of opportunity for concept review, the key to succeeding on the SAT math section is to recognize that questions require a good grasp of the concepts.

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically.

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-quadratic-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-quadratic-functions

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-quadratic-functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

The definition of the term "Graphs of Exponential Functions."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Graphs of Rational Functions."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Rational Functions."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Square Root."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

Derive the equation of a parabola with a vertex at the origin and focus at coordinates (0, f).

Derive the equation of a parabola with Focus at coordinates (a, c) and Directrix at y = c.

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.

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.

In this graphing calculator activity, have your students explore linear functions of the form y = mx. This Desmos template allows students to explore the effect of changes in the slope have on the graph of the line. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these linear functions.

Note: The download is a PDF worksheet.

In this graphing calculator activity, have your students explore linear functions of the form y = x + b. This Desmos template allows students to explore the effect of changes in the y-intercept have on the graph of the line. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these linear functions.

Note: The download is a PDF worksheet.

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.

Note: The download is a PDF worksheet.

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.

Note: The download is a PDF worksheet.

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.

Note: The download is a PDF worksheet.

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.

Note: The download is a PDF worksheet.

This slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs. Note: The download is a PPT file.

This slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs. Note: The download is a PPT file.

This slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs. Note: The download is a PPT file.

In this Slide Show, use the Desmos graphing calculator to explore rational functions. Note: The download is a PPT file.

In this Slide Show, use the Desmos graphing calculator to explore square root functions. Note: The download is a PPT file.

This slide show shows how to write equations in slope-intercept form for parallel and perpendicular lines. This slide show also includes some sample SAT-style questions. Note: The download is a PPT file.