Parabolas Everywhere PDF

Preview

Summary

Student see parabolas in the world around them and create equations to fit the everyday object....

Description

Parabolas Everywhere The Real Quadratics of the United States Algebra II Anchor Task Quadratics Unit Name ________________________  Introduction: In this activity, students will find pictures of parabolic curves in the real world using the internet or your camera. Students will save pictures and paste them into GeoGebra to find the vertex and an equation that represents the curve. Students will also need to research the actual dimensions of the object to adjust the scale of their axis.  Objective: Students will use prior knowledge of Quadratics to find the equation of a real-life object.  Activity: 3 Parts ● Teacher Example ● Pair Example ● Individual Example ● Find an example of a real-world parabolic curve and its dimension. (YOU CANNOT USE THE GATEWAY ARCH!) The example can be structural, man-made, or formed by you. ● Open the Desmos Apps and insert the picture into the file. Include the axis and adjust the scale to correspond to the actual size. ● Insert a point for the vertex of your picture. ● Find an additional point that your graph passes through.  ● Calculate the equation in vertex form for the curve using the vertex and the point. ● Expand your equation into standard form. ● Screenshot the final graph with the picture and insert it into pages or Google Document. (You will share your findings.) ● Be prepared to discuss your findings.  Summary: ● Students will turn in a copy of the teacher example, partner example and their picture with the axis and the points labeled as well as the equations they found. ● Students will also give some information about the parabola. For example, what are the dimensions of the parabola?     



Rubric: Parabolas Everywhere 

1

2

3

The picture is of a parabola

No picture is turned in

The picture does not show a Parabola

The picture is of Parabola

Dimensions of the parabola are noted.

No dimensions are given

Dimensions are given incorrectly

Correct Dimensions

The picture is inserted into Desmos correctly

No picture inserted

The picture is distorted and not use correctly

Picture inserted correctly

Vertex and second point are identified correctly

Points are not correctly identified

One point is correctly identified

Both points are correctly identified

The equation in vertex form is computed correctly

No equation is computed

The equation is computed with errors

The equation is done correctly

The equation in standard form is computed correctly

No equation is computed

The equation is computed with errors

The equation is done correctly

The summary document includes a screenshot

No screenshot is included

The screenshot is included but does not include graph on picture

The screenshot is included with a picture and created a graph

The summary document includes both equations

Neither equation is included

One equation is included and correct

Both equations are included and correct



Student Assessment



Teacher Assessment

Total Points



Total Point Value

The picture is of a parabola

3















Dimensions of the parabola are noted.

3















The picture is inserted into Desmos correctly

3















Vertex and second point are identified correctly

3















The equation in vertex form is computed correctly

3















The equation in standard form is computed correctly

3















The summary document includes a screenshot

3















The summary document includes both equations

3















Equations are in both Desmos and summary document

3















The name and location of the parabola are included in the summary document.

3















Teacher Teacher Partner Individual Partner Individual Lead Lead Graph Graph Graph Graph Graph Graph

Score out of 30 Total Points



...