Unit 6 Slides PDF

Table of Contents Day 1: Symmetry and introduction to transformations Day 2: Translation, reflection, rotation, dilation Day 3: Group activity, catch up Unit 6, Day 1 Symmetry, introduction to transformations  Warm Up Think about what the star on the...

Table of Contents Day 1: Symmetry and introduction to transformations Day 2: Translation, reflection, rotation, dilation Day 3: Group activity, catch up Unit 6, Day 1 Symmetry, introduction to transformations  Warm Up Think about what the star on the ball would look like as the ball rolls. How often would a point of the star be pointing upwards? Use the sentence stem: I think a point of the star would be pointing upwards _______ because _____________. Symmetry is like a mirror image. When an image looks identical to the original image after the shape is being turned or flipped, then it is called symmetry. It exists in patterns. You can find examples of symmetry everywhere around you. There are two main types of symmetry that we use in math: Reflectional symmetry means that an object is mirrored across a line of reflection. Objects can have one or more lines of reflectional symmetry. Rotational symmetry means that if you turn a shape, it looks the same as the original. Rotational symmetry will include a degree of rotation, how many degrees you have to turn the shape for it to be symmetrical. * Identify which figures below have reflectional symmetry and what the line of reflection is (some may have more than one!). * Identify which figures below have rotational symmetry and what the degree of rotation is (some may have more than one!). To transform an image is to change it in some way. The four types of transformation are: ★ Translation: to slide or glide an object across a plane. ★ Reflection: to reflect or mirror across a line of reflection. ★ Rotation: to turn or rotate an object a certain number of degrees. ★ Dilation: to grow or shrink by a specified scale factor. When we do transformations, we start with a pre-image. Once the transformation has been done, the result is the image. A pre-image triangle with vertices ABC will have an image triangle with vertices A’B’C’. We will go more into each of these transformations in the next class. Now we are going to play Transformation Golf in Desmos. Go to student.desmos.com and type in the class code to join: A8QP2W Assignment 6.1 Due before the next class. You can redo it before it’s due for full credit, but after the start of the next class, you can earn a max of 80 on it through test day, then it’s a 0.  Unit 6, Day 2 Translation, Reflection, Rotation, and Dilation  Warm Up Determine which kind(s) of symmetry each vowel has: A E I O U Which consonants in the alphabet DON’T have any symmetry? Translation is when we take a pre-image and slide it across a plane. There will be a given direction and distance. The shape and orientation of the image remains the same. Reflection is when we take a pre-image and reflect it across a line of reflection. Each point of the image will be the same distance from the line of reflection as the pre-image is. The shape stays the same, but the orientation changes. Rotation is when we take a pre-image and turn it a certain number of degrees around an indicated point of rotation. The shape stays the same, but the orientation changes. Dilation is when we take a pre-image and grow (scale factor >1 or