Learning Objective We will determine1 how to use Translation to draw a preimage and image of a figure on the coordinate plane. What are we going to do? What is determine means?_______. CFU Activate Prior Knowledge A translation is a transformation in which all the points of a figure are moved the same distance in the same direction. Use coordinate notation to describe the transformation of Students, you already know how to translate coordinate points. Today, we will learn how to use vectors to translate coordinate points. Make Connection 1 Figure out Vocabulary

A vector can also be named using component form: Skill Development/Guided Practice 1 A vector can also be named using component form: 〈a, b〉 vector * Denoted with angle brackets Horizontal change (Left/Right) Vertical change (Up/Down) The component form for PQ is 〈5, 3〉. Pair-Share: What is a Vector? CFU 1 The size Vocabulary

Skill Development/Guided Practice (x, y) The vector given in magnitude and direction in component form, which is an ordered pair that describes the changes in the x- and y-values. Vector <x, y> component form:

. . . . B A C 1. Translate the preimage along the vector . Skill Development/Guided Practice A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The resulting figure is called the image. A vector is a set of directions telling a point how to move. Steps to find Translation 1 2 3 4 How did I/you know which point to choice? How did I/you know when to add or subtract? How did I/you plot the pre-image points? CFU 1 2 3 Choose a point. Apply the rule. Add/Subtract X & Y-coordinates. Plot the Image points 1. Translate the preimage along the vector . 2. Translate the preimage along the vector . In words: “Shift the triangle 3 units right and 5 units up.” 5 units . B 3 units . . 4 units . A C -5 units

. Vector: <__ ,__> Vector: <4, -1> Skill Development/Guided Practice A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The resulting figure is called the image. A vector is a set of directions telling a point how to move. Steps to find Translation 1 2 3 4 How did I/you know which point to choice? How did I/you know when to add or subtract? How did I/you write the vector rule? CFU 1 2 3 Choose a point. Apply the rule. Add/Subtract X & Y-coordinates. Write the Vector 1. Triangle ABC is translated to create the image A'B'C'. 2. Triangle ABCD is translated to create the image A'B'C‘D’. How far does each point the preimage move to make the image? 4 Right __ Unit(s) to the ____ 2 Right _ Unit(s) to the ____ 5 Down 1 Down Vector: <__ ,__> 2 -5 Vector: <4, -1> . Preimage image

. .A’ .R’ .C’ .B’ .T’ .S’ 2. Triangle ABC is translated along vector Skill Development/Guided Practice A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The resulting figure is called the image. A vector is a set of directions telling a point how to move. Steps to find Translation 1 2 3 4 How did I/you know which point to choice? How did I/you know when to add or subtract? How did I/you plot the pre-image points? CFU 1 2 3 Choose a point. Apply the rule. Add/Subtract X & Y-coordinates. Plot the pre-image points 1. Triangle RST is translated along vector to create the image R'S'T'. What are the coordinates of the vertices of the image? 2. Triangle ABC is translated along vector to create the image A‘B‘C'. What are the coordinates of the vertices of the image? . . 8 7 6 5 4 3 2 1 3 units 3 units (5, 5) .A’ A’: B’: C’: (5, 6) 4 units (9, 2) 4 units .R’ (4, 2) (8, 3) .C’ .B’ Component Form .T’ .S’ (5, 3) 4 units < x +3, y - 4 > 2 units Component Form <x+4, y-2> 0 1 2 3 4 5 6 7 8 9

Relevance Reason #1: World of Vectors Denoting both direction and magnitude, vectors appear throughout the world of science and engineering. In sports, a quarterback's pass is a good example, because it has a direction (usually somewhere downfield) and a magnitude (how hard the ball is thrown). Relevance Reason #2: Know how to find & use Vector will help you do well on tests: (PSAT, SAT, ACT, GRE, GMAT, LSAT, etc..). Sample Item Check for Understanding Does anyone else have another reason why it is relevant to use vector? Which reason is most relevant to you? Why?

What did you learn today about how to use Vector Translation to draw a preimage and image of a figure on the coordinate plane. Word Bank Vector Initial Point Terminal point Translation Component Form SUMMARY CLOSURE Today, I learned how to __________________ ______________________________________________________________.