Friday, January 30, 2009
"Transformations"- Rotations
We turn our papers when drawing rotations because when we rotate the paper, It shows us what quadrant the figure will be. This is predicting where and how the rotation will turn out because it tells us what quadrant the new figure will be in and the coordinates for that figure. A rotated figure doesn't changes in size or shape, but it does change in location. A rotated figure is different from a reflection because a rotated figure is when a shape is rotated either clockwise or counterclockwise, and reflection is a figure that is being flipped over by any line of symmetry. If we rotate a figure 90 degrees clockwise and then 90 degrees counterclockwise, then the figure will stay in the same location. If we rotate a figure 360 degrees counterclockwise, then the figure will also be in the same location. The difference between rotating a figure clockwise and counterclockwise is that the figure will be in a different location.
Monday, January 26, 2009
Poetry
Poetry can be more interesting than prose because it catches people attention. For example, When I read the prose, it became boring and didn't caught my attention. It also used difficult vocabulary words and took a while to get to the point. On the other hand, when I read the poem, right off the back it caught my attention when it began to rhyme. Moreover, it got straight to the point, and got me more interested when I continued to read each stanzard. Therefore, Poetry can be more interesting than prose.
"Transformation"-Reflection
A reflection is like a mirror because a mirror shows the same figure put in a different position. You could reflect an image over the x-axis or y-axis without knowing the exact rules by knowing that when you reflect the image over the x-axis, you change the y coordinates, and when you reflect the image over the y-axis, you change the the x coordinates. Therefore, it's the opposite. The original figure and it's reflection is exactly equal distance from the line of symmetry because nor the size or shape changes, only the position, and the two figures match.
I think that we could determine the line of symmetry if we were given the points of the original figure and the image. When looking at two figures, we know which one is the transformation because one figure is the original, and the other is prime. So the figure that is plotted prime is the transformation figure.
I think that we could determine the line of symmetry if we were given the points of the original figure and the image. When looking at two figures, we know which one is the transformation because one figure is the original, and the other is prime. So the figure that is plotted prime is the transformation figure.
Wednesday, January 14, 2009
"Transformations - Dilations"
A dilated figure does changes in shape, size, and location because of the scale factor. When you zoom into a picture, the figure may get bigger or smaller. Zooming relates to dilations because the figure may change the size in the figure. If a figure undergoes a dilation with a scale factor of 1.5, the figure will get bigger since its greater than 1. If the scale factor is 0.5, then the figure will get smaller because the scale factor is less than 1. Dilations and translations are different because dilations is when you use the factor scale and the shape will either get bigger or smaller and translations is when the figure is the same but in a different location. Multiplying by 1/3 is the same as dividing by 3 because when you multiply 1/3 by a number, you need to divide by 3 after. For example, 6 multiply 1/3 is 6/3. Then when you divide you will get 2. You will get the same answer if you divide 6 by 3, which is equals to 2. Therefore, its the same.
Monday, January 12, 2009
Math Journals part 2- "Transformations Translations"
When looking at two figures, I know which one is a transformation by looking at a change in the size or location, and by looking at which figure is prime. For example, Figure ABC is the original, and figure A 'B' C' is the prime figure since their is a change in shape and location, and its prime. The new points are called coordinate points. Original, same, and locations are words that describe Translations. A translated figure will never change its place because the figure stays the same and slides across a coordinate plane. The figure only changes its location. You can translate a figure without a coordinate plane by subtracting the Y coordinate and/or the X coordinate. For example, if point A is located at (2,8) and A' is located at (3,2), then I subtract 3 from 2 and 2 from 8, which I am left with -1 and 6. I last find the absolute value and my final answer is (1,6).
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