Translations

Learning Goals LG: Perform a combination of translations on a single 2-D shape, with and without technology, and draw and describe the image. Kid Friendly: Move shapes left, right, up or down on a grid What I think I already know:

Definition Translation: simply means Moving … without rotating, resizing or anything else, just moving. The shape stays the same but moves somewhere different To Translate a shape: Every point of the shape must move: the same distance in the same direction.

Moving X and Y When translating, or moving, an object on a grid it stays the same. It is like cutting the object of paper and moving it around Every time the shape moves it will have new coordinates The shape can be moved along the x axis and y axis. You need to figure out how it has been moved across the x axis, and then how it has been moved across the y axis

Hmmmm…. Question: Is there a way to translate an object without drawing it twice? On a grid, draw a triangle at these coordinates ( 2,3) (6,3) (4,6) Now I want to move them all one to the right and up two How could you figure out the coordinates of the moved (translated) triangle without drawing each step?

Finding the “Rule” On a grid, draw a triangle at these coordinates ( 2,3) (6,3) (4,6) Now trace that triangle onto the overhead square When a shape has been translated (moved) on a grid, and you can see the before shape and the after shape, you are able to figure out how the object has been translated. Step 1: Look at the x axis. Count how many points it has moved. Determine if it was left or right. Step 2: Look at the y axis. Count how many points it has moved. Determine if it was up or down.

Moving X and Y Example: if we want to say that the shape gets moved 3 Units in the "X" direction, and 4 Units in the "Y" direction, we can write: (x, y) ( x + 30, y + 40) This says "all the x and y coordinates will become x+3 and y+4"

Mollie’s Tidy Bedroom Mollie likes to have everything set up nicely in her bedroom. Lately, though, she has felt like she needs a change. She would like to move her bed further away from her door. She draws up a grid of her room so that she can figure out where to move the bed to. She decides to move it five feet to the left and four feet closer to her window. Draw where her bed has moved to. Write down the new coordinates for each corner of her bed.

Practice – Our Classroo Using graph paper set up a coordinate grid. Imagine this coordinate grid represents our classroom. Draw shape(s) of your choice to symbolize items in the room. The shape(s) must have corners that are on exact lines, therefore they have exact x and y coordinates. Write down the coordinates of each dot (x.y) Decide how you would like to translate each item. On the same graph paper translate the items. Do the second set in a new color from the first.