Coordinate geometry w/ algebra to solve problems:
-Assn #4:
2) I have started been observing the motion of a bug that is crawling on my graph paper. When I started watching, it was at the point (1,2). Ten seconds later it was at (3,5). Another ten seconds later it was at (5,8). After another ten seconds it was at (7,11).
a)Draw a picture that illustrates what it happening...
b)Write a description of any patterns you notice. What assumptions are you making?
c)Where is the bug 25 seconds after I started watching it?
d)Where is the bug 26 seconds after I started watching it?
Answer:
A)Graph (dont have picture yet)
B) The bug is going on a strait line because the slope of the bug is 3/2
C) At 25 seconds the bug is at (6,9.5)
D) At 26 seconds the bug is at (6,9.8)
A)Graph (dont have picture yet)
B) The bug is going on a strait line because the slope of the bug is 3/2
C) At 25 seconds the bug is at (6,9.5)
D) At 26 seconds the bug is at (6,9.8)
-Assn #10:
4) A bug is moving the line 3x+4y=12 with a constant speed of 5 units per second. Find a parametric equation to describe the line 3x+4y=12. Use your equations to find coordinates for the point that is 3/5ths of the way from (4,0) to (0,3) by substituting T=3/5.
Answer:
X=12+3T--> X=12+3(3/5)=13.8
Y=12+4T--> Y=12+4(3/5)=14.4
X=12+3T--> X=12+3(3/5)=13.8
Y=12+4T--> Y=12+4(3/5)=14.4
Rotation and Reflection:
Reflection: The process we used to find the line of reflection was by using a x-y axis grid. we had an image then we reflected it by moving the point, the exact points, to the other side of either the x-axis, the y-axis, the x then the y-axis or vis versa.
Rotation: The process we used to fine the rotation of an images was by drawing two lines that connected to reflecting images and then drawing a perpendicular bisector for each line and where the two perpendicular bisector meet is where the center of rotation is.
Slice Forms:
For this project we had to design a figure and then make a prism of our shape and then created a slice form of our shape. We learned how to find volume, base area, lateral surface area, height, and surface area.
One thing that I liked about this project was being able to choose what image I wanted to create, making it easier for me to make a prism and slice form. The whole project challenged me because I had 2 weeks to do my project when everyone else had 3- 3 1/2 weeks to complete it. Also putting the slice form together was one of the most challenging things I have ever done in math.