Please pick up a new book on the back table.

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1 Please pick up a new book on the back table. Use the graphing side of your whiteboard or get graph paper from the counter in the black trays plot the following points: 1. ( 3, 5) 2. (4, 0) 3. ( 5, 2) 4. (0, 2) Find the coordinates of points: 5. A What is another name for point? 8. What quadrant is point A in? Wobble Chairs: Abby, ryan, & Alex K A Warm Up

2 Content Objective I can translate and reflect objects on a coordinate grid. Language Objective I can explain how a rule cause a figure to translate. Assignment 7.1A and Graph Mug & Make Zug Table ue Quiz 7.1 and Vocab Quiz 7 after lesson 7.1 Lesson 7.1A Planner

3 Introduction: 1. Coordinate Grid: a plane formed by two number lines that intersect at their zero points. 2. Origin: The intersection of the x axis and y axis on a coordinate plane. 3. Quadrants: Four regions bounded by the x and y axes on a coordinate plane. 4. X axis: The horizontal number line on a coordinate plane. 5. Y axis: The vertical number line on a coordinate plane. Graphing Points In this lesson we will be graphing points on a coordinate plane or grid. Remember that a coordinate plane is formed when a horizontal number line and vertical number line are combined and intersect at their zero points. The point of intersection is called the origin of the graph and is designated as (0, 0). Quadrant II The first number in a coordinate pair (ordered 6 pair) tells you how many steps to move left (if negative) or right (if positive) and is plotted 8 on the x axis (horizontal). The second number 10 Quadrant III in the pair tells you how many steps to move up (if positive) or down (if negative) and is plotted on the y axis (vertical). Start at the origin (intersection of the two number lines). Transformations are changes in a figure s position on a coordinate plane, size, or orientation in relation to a position on the coordinate plane x axis 2 4 y axis Quadrant I Quadrant IV

4 Lesson 7.1 A Transformations Translations & ilations I can plot coordinate pairs on a coordinate grid I can translate and reflect objects on a coordinate grid. A transformation is a change of size, position, or orientation of an object. There are four types of transformations: ilations, Translations, Reflections, and Rotations. A dilation is when you change the size of a figure (shape). The eye doctor dilates your eyes to help examine (check) your eyes. ilations cause an object to grow larger or smaller while remaining similar in shape. Translations are when figures are slid to a new location. Figures can slide left, right, up, down, or in combinations. Translations are used by computer programmers to move cartoon characters across a screen or to move objects in a video game. Reflections are when figures are flipped over a line of symmetry. The reflected figure is congruent (same size and shape) to the original figure. Rotations are when figures are turned (clockwise or counterclockwise) around a fixed (non moving) point. In later lessons you will be introduced to Mug Wump, who is a computer generated character. Here is a hat that Mug wears. y 1. Give the coordinates for Mug's hat. 2. Find the coordinates for the other hats using Mug's coordinates. 3. Plot the points to create the other hats. 4. elow the table write down anything you notice about graphs of the hats. x The original figure is called the object or pre image and the new figure is called an image. Note: When finding the hats always use Mug's coordinates for x and y RoTations Translations U ilations L ReFlections R A N i i L N R n d ips s G y s (3, 4) (0, 5)

5 Mug's Hat Hat 1 Hat 2 Hat 3 Hat 4 Hat 5

6 Mathematically Similar ~ Congruent Not Congruent Mug's Hat Hat 1 Mug's Hat Hat 3 Hat 2 F C AG Mug's Hat Hat 4 Hat 5 F AG F C AG Mug's Hat C

7 When we write a rule we use a special notation. The rule for translating Mug's Hat to Hat 1 is (x, y) (x+2, y+3). We will use this notation to answer the following problems. 1a.) How does a hat translate (move) to the right? 1b.) How does a hat translate (move) up? 2a.) Look at Hat 2, what does subtracting from the x coordinate do to the location of the hat? 2b.) Predict what subtracting from the y coordinate would do to the location of the hat. 3a.) What does multiplying the x and y coordinates by 0.5 do (look at Hat 4)? 3b.) What do we call the number we multiply the x and y coordinates by? 3c.) Predict the rule that would triple the length and height. 4a.) Which hat or hats are not similar to Mug's? 4b.) xplain why the hat or hats are not similar to Mug's. 5.) Write a hat rule that will make a hat the same size as Mug's, but moved up 2 units on the grid. 6.) Write a hat rule that makes a hat grow in size (dilate). 7a.) What rule would make a hat grow 5 times as wide as Mug's hat, but stay the same height? 7b.) Would the new hat be similar to Mug's? 8.) What rule would make a hat with line segments 1 / 3 the length of Mug's hat? 9.) What rule would make a hat with line segments twice as long as Mug's hat and moved 8 units to the right?

8 Coordinates of Game Characters 1.) raw Mug on the coordinate plane on the next page. 2.) Fill in the table for Zug using Mug's points. 3.) Use your table to draw Zug on the coordinate plane. 4.) When done with this table, turn the page and work on the next one. o Not Connect These 2 Points!

9 Mug Wump Zug

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