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| image from Deepika Gupta's Blog |
In Mme. Fernandes' class today, we explore some of the basic concepts & required skills in Geometry/Spatial sense, particularly about Cartesian Plane and Transformations through game simulations~
What do you already know about Cartesian Plane?
What do you already know about Transformations?
What are some of your new learnings today?
Please share your thoughts with us in the comment area below.
What do you already know about Cartesian Plane?
ReplyDeleteWhat do you already know about Transformations?:
I know that transformations consist of three different things, Turn (Rotation), Flip (Reflection) and Slide (Translation). A transformation can be described using these three changes.
What are some of your new learnings today?
I learned that a "Figure" is the original image, whereas an "Image" is an altered version of the figure.
thank you for sharing your new learnings~ since your last comment, we have learned another type of transformation: dilation. How is dilation different than the other types of transformations?
Deletealso, you probably already know LOTS about Cartesian Plane (remember, the Battle Ship game we played) Any questions?
What do you already know about the Cartesian Plane?
ReplyDeleteThe Cartesian Plane is a system that consist of 2 intersecting line(x and y axis)that form 4 quadrants. It is used to plot coordinates.The x and y axis consists of positive and negative numbers.
What do you already know about transformations?
There are 3 different types of transformations which can be used to alter a figure.
Rotations: Rotations are turns that are rotated about a specific point directly on or of of the figure. You can rotate a shape 90, 180, 270 or 360 degrees counterclockwise or clockwise.
Translations: Translations is when you slide or translate the figure onto a another section or quadrant of a grid. An example of a translation can be "move 2 squares up".
Reflection: Reflections are when you flip or reflect the figure about a mirror line. The image is the mirror image of the figure so both image and figure should be opposite to each other.
What are some of you new learning today?
Some new terminology that I learned was ordered pair, quadrants, coordinate etc. These are all revelent in the usage of the Cartesian Plane.
~ SHALINDREE
hi Shalindree
Deletethank you for your comments; Can you share with us what you have learned about those new terminologies mentioned in your last comments? (ie. what are the significance of the quadrants?)
A Cartesian plane is a 4 quadrant grid, and the sides on both the x and y axis are labeled. Transformations are things that you do to a figure to make an image, such as rotation, reflection, and translation. Since we just began the unit, we are mostly reviewing previous grade material.
ReplyDeleteEsam
thank you for your comment, Esam. You are correct that many things mentioned in this unit are reviews from past concepts learned. However, we are also learning to graph these transformations directly on the grid while figuring out any relevant relationship between the ordered pairs when subjected to certain transformation. Please share your insight in anything you have concluded with your peers from our in-class investigation.
Deletecheers!
ReplyDeleteWhat do you already know about Cartesian Plane?
A Cartesian plane is a coordinate drawn plane that is drawn and sketched on the Cartesian grid system. What I know about the system is a system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). There are 4 quadrants on the grid with positive and negative numeric.
What do you already know about Transformations?
Transformations is a geometry based nit which shows the understanding of the movement of shapes and etc. In mathematics, a transformation could be any function mapping shapes and objects. There few types of linear transformations like translation, reflections and rotation.
A Cartesian plane is a coordinate drawn plane that is drawn and sketched on the Cartesian grid system. A Cartesian plane shows a coordinate to draw a specific shape in limited amount of area given. There are two perpendicular lines that meet. There are always 4 quadrants built after the lines meet. The first quadrant consists of positive and positive coordinates. The second quadrant consists of negative and positive coordinates. The third quadrant consists of negative and negative coordinates. The fourth quadrant consists of positive and negative coordinates.
DeleteWhat i already know about Cartesian planes is that there are 4 quadrants in which in order to describe a location you do it in coordinates. When saying a coordinate you must start with the x axis then the y axis. What i know about transformations is that it is the movements the figure must make in order to become an image. Some of my new learning is that you must be specific when describing transformations so that your reader can visualize what transformation did the figure do
ReplyDeletehi Hani
Deletethank you for your reflection/comment; I agree with you that you have to be very specific when describing a series of movements/transformation in order to correcting direct the image from the figure. =)
Cartesian Plane:
ReplyDeleteA Cartesian Plane is an unbounded two-dimensional shape. Any line joining two points on a plane lies wholly on that plane. The Cartesian Plane consists in two axes that divide the plane into four sections called "quadrants". There are 4 quadrants. (Top-right, Top-left, Bottom-right, Bottom-left)
Transformations:
Transformations is the movement of a polygon and/or figure. For example, some transformations that we have learned so far is translation, rotation and reflection. These are in mathematical terms. We usually call them slide, turn and flip. Recently, we have learned a new one called dilation. This is when a polygon/shape changes its size, either growth or shrink.
What do you already know about Cartesian Plane?
ReplyDeleteA Cartesian Plane is a plane in which all points can be described in Cartesian coordinates.
What do you already know about Transformations?
Transformations are math based movements which shows the understanding of the process of the shapes etc.
Cartesian plane:
ReplyDeleteCartesian Planes are in quadrants. There are 4 quadrants (Top-right, Top-left, Bottom-right, Bottom-left). Quadrants consist in 2 axis, x-y axis. These are used to identify where the point is. For example, when calling out x-y axis, we call this ordered pairs. Ordered pairs start from x axis to y axis (Horizontal line to vertical line).
Transformation:
There are quite a few transformations that we have learned in class. The basic ones are slide, turn and flip. In mathematical terms, it would be called translation, rotate and reflect. Recently we have learned a new one called dilation. This is in mathematical terms but if you were to say it in a life style, it would be called enlarge or shrink. Dilation is the change in size of a shape/polygon.