Class 6 Maths |GANITA PRAKASH & RS Aggarwal| Ch-1| 1.5 Sequence of Shapes
Ashu Diwan Classes
[{'start': '1.760', 'end': '8.800', 'text': 'hello kids hope you have covered the exercise 1.4\xa0\nin your practice and now we all are well aware of'}, {'start': '8.800', 'end': '15.040', 'text': 'the sequences You know now that what are the\xa0\ndifferent sequences how they are related to'}, {'start': '15.040', 'end': '22.320', 'text': 'each other and how we have to show them using\xa0\npictures Okay So now we will move further in'}, {'start': '22.320', 'end': '29.200', 'text': 'this chapter and we will learn about the\xa0\npatterns in shapes So this particular part'}, {'start': '29.200', 'end': '37.520', 'text': 'it deal with the patterns in shapes and earlier\xa0\nwe did patterns in sequences Okay So the pattern'}, {'start': '37.520', 'end': '42.240', 'text': 'for the patterns in shapes the other important\xa0\nand basic pattern that occur in mathematics are'}, {'start': '42.240', 'end': '48.720', 'text': 'the patterns of shapes They can be in one two\xa0\nor three dimensions or even in more dimension'}, {'start': '48.720', 'end': '55.760', 'text': 'Now the the branch of maths which deal with\xa0\nthese the study of these patterns and shape'}, {'start': '55.760', 'end': '62.880', 'text': "it is called as geometry Okay So students in your\xa0\nin the further chapters we'll have more things to"}, {'start': '62.880', 'end': '70.000', 'text': 'learn in geometry and we will learn the advanced\xa0\nversion of geometry in the next grades also Okay'}, {'start': '70.000', 'end': '76.240', 'text': 'Now these shape sequences are one important type\xa0\nof shape pattern mathematician that mathematicians'}, {'start': '76.240', 'end': '85.120', 'text': 'study and it is shown here These are few examples\xa0\nof the shape sequences which we have to cover as a'}, {'start': '85.120', 'end': '93.600', 'text': 'part of our grade six leis Okay So the different\xa0\nshapes sequences which are given here are the'}, {'start': '93.600', 'end': '104.000', 'text': 'regular polygons complete graphs stacked squares\xa0\nstaged triangles and the code snowflakes So let us'}, {'start': '104.000', 'end': '113.440', 'text': 'pick all these shape sequences one by one Okay\xa0\nSo the first one we have is regular polygons'}, {'start': '113.440', 'end': '119.200', 'text': 'So students before doing this we should\xa0\nunderstand that what is a polygon what is'}, {'start': '119.200', 'end': '130.080', 'text': "a polygon so polygon is nothing but it's a plain\xa0\n2D shape Okay I'm just writing here Polygon is a"}, {'start': '130.080', 'end': '133.600', 'text': 'plain 2D'}, {'start': '133.600', 'end': '137.600', 'text': 'shape which has'}, {'start': '137.600', 'end': '152.080', 'text': 'minimum which has minimum three sides Okay So\xa0\nit should have minimum three sides It can be'}, {'start': '152.080', 'end': '159.040', 'text': 'more So along with three sides it will have three\xa0\ncorners or you can call as vertices and it will'}, {'start': '159.040', 'end': '167.760', 'text': 'have different angles Okay But the minimum side\xa0\nshould be three and it is always 2D in shape The'}, {'start': '167.760', 'end': '173.920', 'text': 'one which we are doing now they are always 2D in\xa0\nshape So what are the examples the first one is a'}, {'start': '173.920', 'end': '182.960', 'text': 'triangle A triangle is a polygon which has three\xa0\nsides So this is first side second side and the'}, {'start': '182.960', 'end': '192.320', 'text': 'third side These are three sides and these are\xa0\nthe three vertices the corners of a triangle'}, {'start': '192.320', 'end': '200.320', 'text': 'Next we have a quadrilateral A quadrilateral has\xa0\nfour sides and four corners These are the four'}, {'start': '200.320', 'end': '209.600', 'text': 'corners and these are the four sides Squares and\xa0\nrectangles they both are types of quadrilaterals'}, {'start': '209.600', 'end': '214.960', 'text': 'only They have four sides and four corners\xa0\nRight so they are a part they are a form of'}, {'start': '214.960', 'end': '223.840', 'text': 'quadrilateral Next we have pentagon Pentagon has\xa0\nfive sides One more thing kids which we I want'}, {'start': '223.840', 'end': '232.320', 'text': 'you to remember always is when we say penta\xa0\nit means five Okay When we say hexa it is six'}, {'start': '232.320', 'end': '241.840', 'text': 'Then when we say hepta it is seven octa is 8\xa0\nLana is 9 and deca is 10 Okay these things you'}, {'start': '241.840', 'end': '248.080', 'text': 'should always remember in mathematics Now\xa0\ncoming back to pentagon we have five sides'}, {'start': '248.080', 'end': '262.640', 'text': '1 2 3 4 5 and we have five vertices Okay\xa0\nSimilarly hexagon we have six vertices and'}, {'start': '262.640', 'end': '275.200', 'text': 'we have six sides 1 2 3 4 5 6 Hapta we have\xa0\nseven sides 1 2 3 4 5 6 7 and again we have'}, {'start': '275.200', 'end': '285.120', 'text': 'seven vertices 1 2 3 4 5 6 7 Similarly in\xa0\nocta we have eight sides and eight vertices'}, {'start': '285.120', 'end': '294.240', 'text': 'In nona we have nine vertices nine sides In deca\xa0\nwe have 10 vertices and 10 sides It also goes on'}, {'start': '294.240', 'end': '303.040', 'text': 'Okay So these are our regular polygons The minimum\xa0\nor the smallest poly the polygon having the'}, {'start': '303.040', 'end': '310.240', 'text': 'minimum number smallest number of side is three\xa0\nwhich is a triangle Okay It starts with three'}, {'start': '310.240', 'end': '318.960', 'text': 'Now this was one type of a shape sequence The\xa0\nnext one we have have is complete graphs So'}, {'start': '318.960', 'end': '328.080', 'text': "kids for graphs I'm writing here for graphs\xa0\nwe should have minimum two corners Okay for"}, {'start': '328.080', 'end': '341.200', 'text': 'graphs we should have we should have minimum two\xa0\ncorners or you can say two points minimum two'}, {'start': '341.200', 'end': '353.440', 'text': 'corners or points Okay this is the first first\xa0\nthing and second thing is all the corners all the'}, {'start': '353.440', 'end': '364.880', 'text': 'corners are connected to each other\xa0\nthrough lines connected to each'}, {'start': '364.880', 'end': '377.520', 'text': "other Through lines okay I'll explain how\xa0\nthrough lines Now they should have minimum"}, {'start': '377.520', 'end': '386.080', 'text': 'two corners So if you look at this this is K2 We\xa0\nare representing it with this notation Two points'}, {'start': '386.080', 'end': '391.280', 'text': 'and they should always be connected Every point\xa0\nshould be connected So this is the connecting'}, {'start': '391.280', 'end': '398.880', 'text': 'line Okay This is a graph of two points Now\xa0\nthis is a graph of three points We are taking'}, {'start': '398.880', 'end': '404.560', 'text': 'three points here and every point is connected\xa0\nto every another point This is connected to this'}, {'start': '404.560', 'end': '411.840', 'text': 'This is connected to this Similarly this point is\xa0\nconnected to the other two points And here also'}, {'start': '411.840', 'end': '418.320', 'text': 'okay this is a graph of three points Next one\xa0\nwe have graph of four points So we have taken'}, {'start': '418.320', 'end': '428.240', 'text': 'four points 1 2 3 4 Now we have to connect them\xa0\nI will connect this with uh this particular dot'}, {'start': '428.240', 'end': '437.280', 'text': 'with this one using line one line two line\xa0\nthree with this Similarly if I come here I'}, {'start': '437.280', 'end': '445.600', 'text': 'will connect using one This is connected two\xa0\nand three for this line And similarly this'}, {'start': '445.600', 'end': '453.280', 'text': 'is connected to this point This point and here\xa0\nalso I have to connect And the last one is here'}, {'start': '453.280', 'end': '459.760', 'text': 'This should also be connected So all the points\xa0\nshould be connected If I will see this the one'}, {'start': '459.760', 'end': '467.520', 'text': 'with the five points again first all these are\xa0\nconnected from outside Now this point I have to'}, {'start': '467.520', 'end': '484.240', 'text': 'connect to 1 2 3 4 Every other point similarly\xa0\nhere 1 2 3 4 Coming here 1 2 3 4 Okay this one 1'}, {'start': '484.240', 'end': '492.080', 'text': '2 3 4 So we see here that every point is connected\xa0\nwith every another point and same here we have all'}, {'start': '492.080', 'end': '500.640', 'text': 'these points connected with each other This is\xa0\na graph Okay Next we have stacked squares Okay'}, {'start': '500.640', 'end': '511.360', 'text': 'kids So what is stacked stacked means one above\xa0\nthe other Okay Stacked means one above the other'}, {'start': '513.040', 'end': '519.440', 'text': 'So in the case of stacked squares we have the\xa0\nfirst the square will always have four sides'}, {'start': '519.440', 'end': '526.720', 'text': 'Okay So the the first square is this one Then we\xa0\nare stacking more squares to it So this is one We'}, {'start': '526.720', 'end': '534.320', 'text': 'are adding three more squares to it Okay And this\xa0\nbecome the bigger square Now again we are adding'}, {'start': '534.320', 'end': '540.960', 'text': 'two We had this square We are adding more squares\xa0\nto it and it become a bigger square and it goes on'}, {'start': '540.960', 'end': '548.320', 'text': 'So this is a stacked square sequence Similarly we\xa0\nhave stacked triangles Now instead of squares we'}, {'start': '548.320', 'end': '557.360', 'text': 'are taking triangles And these triangles they are\xa0\nstacking up Okay First we had one this now we are'}, {'start': '557.360', 'end': '566.720', 'text': 'stacking more to it 2 3 4 Similarly or you can\xa0\nalso do it downwards That one we had now 1 2 3'}, {'start': '566.720', 'end': '576.160', 'text': 'Okay So this is how we are stacking the triangles\xa0\nand it goes on Next we have quotes douflick What'}, {'start': '576.160', 'end': '584.560', 'text': 'we are doing here is first of all we should the\xa0\nminimum the minimum shape it can take is a form'}, {'start': '584.560', 'end': '592.160', 'text': 'of a triangle So we have one triangle here Now I\xa0\nwill tell you how we are doing this We have this'}, {'start': '592.160', 'end': '597.840', 'text': 'triangle'}, {'start': '597.840', 'end': '607.360', 'text': 'Sorry Now what we have to do to get the second\xa0\nform is we will make one triangle on either side'}, {'start': '607.360', 'end': '620.560', 'text': "1 2 I'll do one thing I'll make it a little\xa0\nbigger triangle Okay This is little small"}, {'start': '620.560', 'end': '628.640', 'text': "Okay So I making one triangle here one triangle\xa0\nhere and one triangle here So when I'm doing this"}, {'start': '628.640', 'end': '639.680', 'text': "when I'm making this triangle now what I have\xa0\nto do i have to erase this part 1 2 and 3 So"}, {'start': '639.680', 'end': '649.600', 'text': 'if you see we are getting the next shape here\xa0\nOkay this is the next shape we have got here'}, {'start': '649.600', 'end': '655.120', 'text': 'Now to get the next shape what we will do is\xa0\nnow again on either side of this we will make a'}, {'start': '655.120', 'end': '664.800', 'text': 'triangle I will make one here I will make one here\xa0\nI will make one here I will again make one here'}, {'start': '664.800', 'end': '670.400', 'text': 'Here'}, {'start': '670.400', 'end': '681.200', 'text': 'here Okay And here also we will\xa0\ndo And then what we are going to'}, {'start': '681.200', 'end': '688.640', 'text': 'do is we are again going to erase\xa0\nthe middle part of this So it will'}, {'start': '688.640', 'end': '706.320', 'text': 'be something like this 1 2 3 4 5 6\xa0\n7 9 10 11 and 12 Let me correct it a'}, {'start': '706.320', 'end': '723.760', 'text': 'bit Okay So what we have to do here is that we\xa0\nhave to further go on dividing this If we want'}, {'start': '723.760', 'end': '731.920', 'text': 'more we will go on dividing this So this is\xa0\nhow we have to make this triangle We have to'}, {'start': '731.920', 'end': '738.560', 'text': 'make this code snowflake pattern Okay So I hope\xa0\nthis is clear We know the polygons now They are'}, {'start': '738.560', 'end': '745.520', 'text': 'plain 2D shape and the minimum shape they can take\xa0\nis a form of a triangle Also square and triangle'}, {'start': '745.520', 'end': '752.240', 'text': 'a square and a rectangle they are a form of a\xa0\nquadrilateral because they have four sides and'}, {'start': '752.240', 'end': '762.080', 'text': 'they have four vertices also Okay Next we have\xa0\npentagon So what we have in pentagon a pentagon'}, {'start': '762.080', 'end': '768.400', 'text': 'can take it can have five sides five vertices\xa0\nand so on And in the case of complete graph'}, {'start': '768.400', 'end': '774.880', 'text': 'what we did minimum we should have two points and\xa0\nevery point should be connected to each other So'}, {'start': '774.880', 'end': '780.560', 'text': 'minimum we have two points then goes three and\xa0\nwe see in every shape every point is connected'}, {'start': '780.560', 'end': '788.720', 'text': 'to every other point here Right for 3 4 5 and six\xa0\nfor stacked square stack means one above the other'}, {'start': '788.720', 'end': '797.440', 'text': 'So we can stack these squares like this Next we\xa0\nhave the stack triangles Here in the case of stack'}, {'start': '797.440', 'end': '804.320', 'text': "triangles we are stacking the triangles instead\xa0\nof squares It's same how we did for squares Last"}, {'start': '804.320', 'end': '810.800', 'text': 'one we have coach snowflake What we are doing\xa0\nhere is the minimum we have as a triangle Now'}, {'start': '810.800', 'end': '817.600', 'text': 'each part of side we have to divide Okay we will\xa0\nmake another triangles and further divisions we'}, {'start': '817.600', 'end': '825.920', 'text': 'can do as we will move further to it Okay kids\xa0\nSo we have done this table that uh how this.'}]