Presentation on theme: "Translate, Rotate, Reflect!"— Presentation transcript:
1Translate, Rotate, Reflect! A Lesson in TransformationsProfessor Davis
2TranslationA translation is the movement of a figure without turning or reflecting!So, the figure moves in a direction. Any direction!But the figure does not turn!
3Let’s Translate! Watch as the Circle TRANSLATES. However, be careful! Translations do not always happen in the direction that seems logical!REMEMBER:If the figure moves, but does not turn, we call that a translation!Watch as the Circle TRANSLATES.The entire figure moves without turning!BONUS Literacy Note! “trans” at the beginning of a wordusually means “movement”TRANSport: Movement of an objectTRANSition: Movement between phasesTRANSplant: Movement of an organism
4Translating on a GraphEach point of the figure moves the SAME DISTANCE in the SAME DIRECTION in a Translation!Now... Translate the figure... “3 Units Down”What is 3 units?Which direction is down?Pick some points! We’ll choose the four corners.Move each of those points down 3 units.Connect the dots to draw the translated figure.Check that your points have all moved 3 units!
5Now, Translate on Your Worksheet! Problem #1 on your WorksheetTranslate the shaded figure...4 Units UpClick to check your answer!The red diamond is exactly 4 units above the shaded diamond!Each red brace is four units[Click to go to the next slide]
6ReflectionThe Line of Reflection is exactly HALFWAY between the Original Figure and the Reflection!A reflection is when a figure is flipped across a pre-determined “line of reflection”!In a reflection, each point of the figure moves the same distance to the opposite side of the line of reflection.The more space between the figure and the line of reflection, the greater distance to the reflection.The part of the figure that is greatest distance from the line of reflection stays the greatest distance from the line of reflection. The closest part stays closest.Original FigureLine of ReflectionReflectedFigureOriginal FigureReflectedFigureLine of ReflectionLine of ReflectionReflectedFigure
7Let’s Reflect! Remember... The distance between the original figure and the Line of Reflection...Is the SAME as the distance between the reflected figure and the Line of Reflection.If the original figure is touching the Line of Reflection...The reflection will be touching the Line of Reflection!Reflections directly to the left or right of the original figure are also the same shape!Reflections directly above the figure and directly below the figure are the same shape!The part of the figure closest to the Line of Reflection will stay the closest part after the reflection.In this triangle, the longest side is the closest to the Line of Reflection. This is true in both the original figure, and the reflection.
8Guess the Reflection! Problem #2 On Your Worksheet Guess the Reflection by drawing theReflected Shape on your Paper!(Click to see if you were correct!)Problem #3 On Your Worksheet[Click to continue to the next slide]
9Reflecting on a GraphEach point on the figure is the same distance from the LINE OF REFLECTION.Now... Reflect the Figure... Across the Line of ReflectionFind the Line of ReflectionMeasure the distance of a point from the Line of ReflectionDraw a point that same distance, in the other direction from the lineRepeat for more pointsConnect the dots!Line of Reflection
10Now, Reflect on Your Worksheet! Problem #4 on your WorksheetReflect the Figure Across the Dotted LineFind the Line of ReflectionMeasure the distance of a point on the edge of the figure, to the Line of ReflectionDraw a point that same distance, in the other direction from the lineRepeat for more pointsConnect the dotsClick to check your answer![Click to continue to the next slide]
11Draw the Line of Reflection! Problem #7 on your WorksheetProblem #8 on your WorksheetProblem #6 on your WorksheetProblem #5 on your WorksheetYou will see two figures. One is shaded, and one has dots.Draw the Line of Reflection!Remember, the Line of Reflection is the SAME DISTANCE from both figures!After you draw a line, measure to both figures to check your answer!Click to see the correct answer![Click to continue to the next slide]
12RotationIn a Rotation, the Center Point stays in the same place, and every other part of the figure moves.The farther a point is from the center of the figure, the further it moves.Literacy BONUS Note! “fUrther” is used for Comparisons of Two Things“fArther” is used with Distance WordsSo...“farther a point is from the center” is distance!“further [the point] moves” is a comparison!
13Describing Rotations Clockwise Rotations are most often described by the terms “Clockwise” or “Counter-Clockwise”.Clockwise
14Describing Rotations Counter-Clockwise Rotations are most often described by the terms “Clockwise” or “Counter-Clockwise”.Counter-Clockwise
16Rotating on a GraphIn a Rotation, the Center Point stays in the same place, and every other part of the figure moves.After rotating on a graph, make sure the edges of the figure are the same distance from the center point [to be sure the figure has not been stretched, shrunk, or reshaped].In this case, the edges of the figures are 3 units from the center.3 Units from center to edge3 Units from center to edgeCenter Point
17Name the Transformation! Problem #11Problem #10Problem #9 On Your WorksheetFigure AName the Transformation that occurred between Figure A [The Original Figure] and Figure B [The Transformation].TranslationReflectionRotationNo Transformation[Click to check your answer!]Figure B