Team+10

=__Inquiry question:__= =What is the relationship between distance and time on your bus route? What is the average speed? Is this a linear relationship? Why or Why not?= 
 * Massachusetts Curriculum Standards**

8.P.1 Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions, e.g., compounding.

8.P.4 Create and use symbolic expressions and relate them to verbal, tabular, and graphical representations.

8.P.5 Identify the slope of a line as a measure of its steepness and as a constant rate of change from its table of values, equation, or graph. Apply the concept of slope to the solution of problems.

8.P.6 Identify the roles of variables within an equation, e.g., y = mx + b, expressing y as a function of x with parameters m and b.

8.P.8 Explain and analyze—both quantitatively and qualitatively, using pictures, graphs, charts, or equations—how a change in one variable results in a change in another variable in functional relationships, e.g., C = π d, A= π r 2 (Aas a function of r), A rectangle = lw (A rectangle as a function of l and w).

8.P.9 Use linear equations to model and analyze problems involving proportional relationships. Use technology as appropriate.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">8.P.10 Use tables and graphs to represent and compare linear growth patterns. In particular, compare rates of change and x- and y-intercepts of different linear patterns.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">8.M.5 Use models, graphs, and formulas to solve simple problems involving rates, e.g., velocity and density.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">10.P.1 Describe, complete, extend, analyze, generalize, and create a wide variety of patterns, including iterative, recursive (e.g., Fibonacci Numbers), linear, quadratic, and exponential functional relationships.

10.P.2 Demonstrate an understanding of the relationship between various representations of a line. Determine a line’s slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graph or a geometric description of the line, e.g., by using the “point-slope” or “slope y-intercept” formulas. Explain the significance of a positive, negative, zero, or undefined slope.

10.P.7 Solve everyday problems that can be modeled using linear, reciprocal, quadratic, or exponential functions. Apply appropriate tabular, graphical, or symbolic methods to the solution. Include compound interest, and direct and inverse variation problems. Use technology when appropriate.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">AI.P.3 Demonstrate an understanding of relations and functions. Identify the domain, range, dependent, and independent variables of functions.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">AI.P.4 Translate between different representations of functions and relations: graphs, equations, point sets, and tabular.

<span style="background-color: transparent; color: #000000; font-family: Times New Roman; font-size: 10pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">AI.P.5 Demonstrate an understanding of the relationship between various representations of a line. Determine a line’s slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graph or a geometric description of the line, e.g., by using the “point-slope” or “slope y-intercept” formulas. Explain the significance of a positive, negative, zero, or undefined slope. (10.P.2) Type in the content of your page here.

=__Project Description:__=
 * 1) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Students will write down their own bus route to school.
 * 2) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> Students will go to google maps and highlights the path of their bus route, Copy and save bus route using Jing
 * 3) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Students will use instructions to export maps of bus routes from google maps to google earth.
 * 4) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> Students will save web page of google earth using Jing
 * 5) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> Find the distances between the bus stops using the ruler tool on google earth.
 * 6) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Save the virtual bus route on google earth as a video to be imported and embedded in glogster
 * 7) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Each student will record the times on their individual bus routes between bus stops on a chart.
 * 8) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;"> Make chart of Distance vs Time for each stop along the route.
 * 9) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Graph the points for the distance vs time of the bus route on a coordinate graph.
 * 10) <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Draw the best approximation (fitted line) of bus route
 * 11) ====Determine the average speed (d/t)====
 * 12) ====Develop a linear relationship and write a linear equation for the data points.====
 * 13) ====Does the slope of fitted line compare with the calculation of the average speed?====
 * 14) ====<span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline;">Make glogster of project using tools from google maps, google earth, Jing, and glogster====

=__**Technology Materials:**__=

- graphing websites for presenting data
=__**Final Product:**__= ====Students will create a presentation using VoiceThread, Glogster, or another type of presentation media to display the information obtained when exploring the linear relationship of distance vs time for their bus routes. Students should include all maps and graphs, calculations, and data obtained in the course of the project.====

=__**Example:**__=

This Glogster could be used as an example for student work or as a way to introduce the assignment.
[|here it is!]