MATHEMATICS 6 Term 1 Week 2- Resulting Images of Shapes (Translation, Reflection, Rotation)

[00:00:12]Hi and hello to all our grade 6 [music] learners out there, especially to our young mathematicians, our math talinos out there. So this video [music] is for you because this is all about your lesson for mathematics for grade [music] 6 for term one week two. Still we are under measurement and geometry, but [music] for this week we're going to draw resulting images of shapes that undergo translation, reflection, and rotation. So for session one we have [music] your pre-lesson.

[00:00:46]So going back to your last topic last week, [music] so tell if each polygon can be tessellated. Write [music] yes if it if it can, no if it cannot.

[00:01:00]All right.

[00:01:06]So for next [music] one, okay your teacher will show a triangle and demonstrate translation, reflection, and rotation. So observe the movement carefully [music] and answer the questions. Okay, so we have here what transformation is shown when the triangles [music] or the triangle slides to another position without turning. So we call that translation. Now and for number two, what transformation is [music] shown when the triangle is flipped to form a mirror image. It is reflection.

[00:01:39]And what transformation is shown when the triangle turns [music] around a fixed point, so that is rotation. So to further understand [music] we have here some a picture, okay? So this is generated from artificial [music] intelligence, okay, from AI. So, for translation, the figure slides to another position [music] without turning. Okay, the triangle moves slides from ABC to Okay, ABC again without [music] turning.

[00:02:10]For reflection, the figure is flipped to form a mirror image. [music] So, the triangle is flipped across the mirror line to form triangle ABC.

[00:02:22]So, >> [music] >> we flip nothing shall that's why again from triangle ABC nothing triangle ACB.

[00:02:29]So, we have the mirror line at the middle. And for rotation, [music] the figure turns around a fixed point. So, from triangle ABC [music] Okay. Uh and it's done turn around to the fixed point O to form triangle um [music] from the top now you A, B, and C. So, now 90% degree >> [music] >> clockwise so now and it's turn or not rotate.

[00:02:58]Now, what is reflection? [music] Reflection can also be called flip now kind of something to go with the Canva or kind of edit now kind of flip now from >> [music] >> facing right side but we need to face the shots on that side. Now, reflection is done when the figure is flipped [music] and produces its mirror image which is being flipped or reflected across a line called [music] the mirror line. This mirror line is also the line of symmetry. The resulting figure or shape [music] must be of the same size and aligned.

[00:03:31]So, we have here some >> [music] >> examples.

[00:03:35]Example one, the figure reflected [music] across a vertical line of symmetry.

[00:03:40]Example two, the figure reflected across a horizontal line >> [music] >> of symmetry or the mirror line.

[00:03:47]Example three Okay, so draw the missing figures. So, each so each of is a reflection of the other across the vertical and horizontal lines of the symmetry. So you can see the solution. It's a mirror image.

[00:04:04]Another example glide [music] reflection so move the object by sliding. So parang reflect lang siya.

[00:04:11]I just like the object.

[00:04:13]Okay for the assessment check the boxes that show reflection. So I am a >> [music] >> check and I think boxes.

[00:04:23]Okay for our ways forward draw the reflections of the [music] following shapes. So your red lines that is the possible answer.

[00:04:32]Okay so for session two Okay.

[00:04:37]So draw the reflections of the following shapes. [music] So I can say reflection in a flip it's like the mirror [music] image. Okay so the red line is the possible answer.

[00:04:50]For translation [music] Okay it can also be called slide. Okay so you reflection >> [music] >> is the flip. Okay now translation is called slide. Translation is done when the figure slides and moves from one place to a [music] slide from one place to another. The resulting figure shape must be of the same size but there is change in the direction. Change >> [music] >> lang siya. You got to be able to go to your shape and size.

[00:05:23]>> [music] >> So we have here some examples. Figure translated to the right okay to the right so slide to the right. The next example figure translated vertically [music] downwards so I can slide down.

[00:05:36]Then example six figure translated to the right and downward slide. Okay downward [music] so slide to the right and down. Okay.

[00:05:46]Another example okay slide [music] the figure two units to the right and three units upward. Okay, so step one, plot the vertices of the new triangle by sliding [music] them two units to the right and three units upward. So mas madali kapag [music] may may meron tayong graph. Now, connect the points to form the figure. So e e ang tawag dito? Itatapat lang siya.

[00:06:10]>> [music] >> Now, para same yung size and shape. So nag babago lang yung >> [music] >> um position.

[00:06:18]Okay, so for our assessment, draw the resulting [music] figure following the direction of the movement. So translate Okay, the figure two units to the [music] left. Translate the figure three units to the right.

[00:06:31]Okay.

[00:06:33]The next, draw the resulting figure again. For number three, translate the figure two units to the right [music] and three units upward.

[00:06:41]Okay, and then translate figure three units to the right and three units downward.

[00:06:48]So, same thing [music] with continue the pattern by drawing the resulting figures.

[00:06:53]For our [music] ways forward, draw the resulting figure following the direction >> [music] >> of the movement.

[00:07:00]Okay, so translations four right and then your number two, three right and two down.

[00:07:08]All right. So, for number three, [music] three left and then for number four, four right and three [music] down.

[00:07:18]All right. So, for session three, okay, we have a pre-lesson about translation.

[00:07:23][music] Okay, slide. Okay, now put a check in the box that shows translation.

[00:07:37]Okay, and another one, okay, [music] is rotation. So, rotation can also be called turn. Rotation is done by turning or rotating the figure around a fixed [music] point or center. The rotation can be done either clockwise or counter-clockwise. [music] For example, so rotate triangle ABC around point by 1/4 [music] turn clockwise. So, step one, identify the fixed point. The fixed point is A. Now, [music] step two, draw the axis and direction of the rotation. Draw a horizontal and vertical line intersecting at the fixed point [music] and draw an arrow about an axis about the axis following the direction >> [music] >> of the rotation. Step three, keep the fixed point in place, rotate the side of the figure where the fixed [music] point is located according to the intended rotation. And then step four, draw the rotated figure.

[00:08:39]Here's another example. [music] Okay, [music] so for our assessment, draw the resulting figure following the direction [music] of the rotation.

[00:08:55]So, we have here uh the possible >> [music] >> answer.

[00:08:59]Okay.

[00:09:05]And for our ways forward, rotate the shaded object about the point marked.

[00:09:13]You will rotate it in a minute.

[00:09:29]>> [music] >> And now we have some possible answers generated through AI.

[00:09:40]>> [music] >> Okay, for session four, Okay, for our pre-lesson, put a check in the box [music] for the correct answer.

[00:09:50]So, which image shows a reflection?

[00:09:58]Which image shows a [music] rotation?

[00:10:05]And which image shows a translation?

[00:10:10]Now, write r e if the pattern shows reflection, t if the pattern shows translation, and r o if the pattern shows rotation.

[00:10:20][music] Okay, so for our assessment, [music] okay, tell how each figure was moved.

[00:10:30]Write translation, rotation, or reflection. But, of course, >> [music] >> um the answer is given, but of course, it's just a guide. You just need also, [music] okay, you need still to figure out how that happened. All right?

[00:11:04]Okay, for your last activity, draw the following shapes and show the indicated transformation. [music] Describe how the shape moves or changes after the transformation. [music] Number one, triangle translation, slide the [music] triangle five spaces to the right without turning it. Number two is square, [music] reflection, flip the square over a vertical line to create a mirror image. Number three is rectangle, [music] rotation. Turn the rectangle clockwise around a fixed point. Number four is circle translation. Move the circle four [music] spaces upward without changing its size. Five is pentagon reflection. [music] Reflect the pentagon across a horizontal line. And number six rotation. Rotate the hexagon hexagon one half turn >> [music] >> around point. So, we have here some possible answer key based on [music] the description given a while ago.

[00:12:09]All right. And with that, I would like to say thank you so much >> [music] >> for being with me. I hope reflection, translation, and rotation is clear to you. [music] Thank you so much and see you again next week. This is teacher Isa. Bye-bye.