Translation
What is a translation? What song would we play in class for a translation?
A translation is a slide on a coordinate plane. The song is "Cha-Cha Slide" by DJ Casper.
What is a reflection? What song(s) would we play?
A reflection is a flip over an axis. The songs are "Man in the Mirror" by Michael Jackson or "Reflection" by Christina Aguilera.
What are coordinates?
Coordinates are a set of values that show an exact location.
How many quadrants does a coordinate plane have?
A coordinate plane has 4 quadrants.
What are the coordinates of the origin?
The coordinates of the origin are (0,0).
Joy made a square. The coordinates of point K are (8,2). She wants to move the square 9 units to the left and 4 units down. What are the coordinates of point K'?
The coordinates of point K' will be (-1,-2).
Samantha made a shape. The coordinates of point T are (9,-6). She wants to reflect the shape across the x-axis. What will be the coordinates of T'?
The coordinates of T' will be (9,6).
How is an ordered pair written?
An ordered pair is written (x, y).
What is the origin?
The origin is where the x-axis and the y-axis intersect. The origin is the starting point for graphing and locating coordinates.
The coordinates of point A are (-3,4). If you want to reflect it over the y-axis what will be the new coordinates of point A?
The new coordinates of point A will be (3,4).
Mikala made a triangle the points were A (1,1) B (2,3) C (4,1). Mikala moved the triangle 3 units down and 2 units to the right. What are the coordinates of B'?
The coordinates of B' will be (4,0).
Lindsey made a diamond and she wants to flip it over the y-axis. If the shape is in quadrant III, what quadrant will it be in when flipped over the y-axis?
The shape will be in quadrant IV.
What direction does the x-axis run?
The x-axis runs left to right.
On the x-axis, what value do the numbers to the left of the origin have?
The numbers to the left of the origin on the x-axis are negative.
You start at the origin. You move 12 units left and 7 units up and that will be point S. What are the coordinates of point S?
The coordinates of point S will be (-12, 7).
Daniel made a triangle. The ordered pairs are M (4,5) N (5,6) O (6,7). He wants to move it 2 units to the left and 8 units down. What will be the coordinates of N'?
The coordinates of N' will be (7,-2).
Leslie made a triangle. The ordered pairs are L (4,5) D (5,6) A (6,5). She wants to reflect the shape across the x-axis. What will be the new coordinates of points L', D', and A'?
L' (4,-5)
D' (5,-6)
A' (6,-5)
What words would you attach to this translation rule (x,y) --> (x+2, y-1)?
This translation rule means that x moves right 2 and y moves down 1.
What 2 types of numbers do a coordinate plane have?
A coordinate plane has positive and negative numbers.
Your house is at point C (4,8). If you walk 3 units to the right and 2 units up to go to your friend's house, which is point H, what are the coordinates of your friend's house?
The coordinates of point H are (7,10).
James translated a figure 6 units to the right and 3 units up, which is point G'. The coordinates of point G' are (8,10). What are the coordinates of point G?
The coordinates of point G are (2,7).
Alex made a shape. The coordinates of point Y' are (7, 2). He reflected the shape across the y-axis. What are the coordinates of point Y?
The coordinates of point Y are (-7, 2).
What is a quadrant?
A quadrant is any of the four equal areas made by the y-axis and the x-axis.
In quadrant II, what are the coordinates of a point (are the x-coordinate and y-coordinate positive or negative)?
In quadrant II, the x-coordinate is negative and the y-coordinate is positive.
Michael reflected point V across the y-axis. The coordinates of point V' are (2,-7). What are the coordinates of point V?
The coordinates of point V are (-2,-7).