A Day @ SST : Mathematics
Coordinate Geometry
The Mission
In groups, you embark on a mission to capture “aliens” visiting the earth. Armed with codes left behind by the aliens in their previous trip, you will mark the locations on a GoogleMap that turn out to be straight line paths. They discover a relationship between the codes and are able to describe the paths mathematically using equations.
Through this mission...
You will understand that...
There exists a relationship between points found on lines (that can be described by equations)
You will need to know that...
1. Linear paths can be described with an equation, y = mx + c when placed on a Cartesian plane
2. Steepness of a slope can be described by the gradient (m)
There exists a relationship between points found on lines (that can be described by equations)
You will need to know that...
1. Linear paths can be described with an equation, y = mx + c when placed on a Cartesian plane
2. Steepness of a slope can be described by the gradient (m)
Let's trace their foot steps
On the mission card, you see a set of ‘secret codes’. These codes come in pairs of numbers. Discuss how you would interpret these codes?
You will be using GoogleMap to accomplish this part of the mission.
The student assistant to your group would log in to the GoogleMap.
On the GoogleMap, mark the locations using the symbol assigned.
View ADAy@SST 20111017 PD Session in a larger map
Next...
1. Refer to the location information given to you as well as the path you have traced.
(a) Describe your “path” formed by these locations.
(b) How are these locations related to each other? Are you able to describe them mathematically?
2. Look at the paths taken by other aliens.
(a) Give a general description on the paths taken by this team of aliens that are coming to the earth. (e.g. How do you tell if some of them travel together or would meet up along the way?)
Enter these information under COMMENTS as follows:
You will be using GoogleMap to accomplish this part of the mission.
The student assistant to your group would log in to the GoogleMap.
On the GoogleMap, mark the locations using the symbol assigned.
View ADAy@SST 20111017 PD Session in a larger map
Next...
1. Refer to the location information given to you as well as the path you have traced.
(a) Describe your “path” formed by these locations.
(b) How are these locations related to each other? Are you able to describe them mathematically?
2. Look at the paths taken by other aliens.
(a) Give a general description on the paths taken by this team of aliens that are coming to the earth. (e.g. How do you tell if some of them travel together or would meet up along the way?)
Enter these information under COMMENTS as follows:
- Reporting for {name of alien}
- {Description of Path}
- Sign off by: {names of members}
Learning more about the Paths
To capture the aliens in a more effective and efficient manner, we will use Coordinate Geometry to help us understand their paths better.
Using TI-Navigator, enter the locations of the alien into the system.
The points will be shown at the Operations Centre.
We shall learn to describe the paths mathematically using terms like "Slope" and "y-intercept".
Using TI-Navigator, enter the locations of the alien into the system.
The points will be shown at the Operations Centre.
We shall learn to describe the paths mathematically using terms like "Slope" and "y-intercept".
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