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all right this is Monday's workbook pages today you have Pages 55 and 57 Serena start with page 55 55 page that is teaching you an important concept about triangles and something about the angles in a triangle has modify the directions a little bit. they're asking you to measure all three angles in the Triangle anime ask you to redraw all together is sort of what they're thinking we're just going to talk about that on the first triangle ABCs of first thing you want to do is identify where is angle ABC is a vertex protractor to make sure that it is 90 degrees if you light it up zero. Right comes out at 90 so yes ABC is can an angle be so a is the vertex the lineup either this side or this side with zero I'm going to light it up this way putting the TV on point a Having. Side of the triangle line up with the zero here so now remember it's a 02 direction we're going to follow the interstate and it's a little tough to see the triangle line there because follow that around and you'll see that the side of a triangle if you can see it comes out at about 45 degrees right in the middle of 40 and 50 third angle that's left on your protractor so that you can make this side or the side with zero WYDOT protractor up on there so that the vertex are cyber attacks here's a side of the triangle and then I'm watching it open this way to the zero tier were following these numbers and there's that side of the again about 45 degrees now when they say redraw those angles in the boxes they're imagining you drawing a 90 degree angle in a 45 degree angle next to it and then instead we're going to get the same results in our Thinking by adding these three angles together this is not my month or so we have a 90° angle 45° angle and we have another 45 degree angle left 0 + 5 + 5 + 10 + 1 + 1 + 9 + 10 + 4 + 1414 + 4 so all of our angles in the triangle add up to 180 degrees out there and move on different looking triangles difference 8 + we're going to start with angle ABC see I'm looking at that again that looks like a rat Serena slides protractor upside down the time making the vertex and we see the zero lines up here and yes the side of the triangle is to 0 or this side if it doesn't matter if your choice I think this way because the curve of the book is always challenging in this might be it and lineup 2018 I need to rotate my protractor to zero 0 here I have point swallow these numbers so I get here looks like it's about 30° Serenity say DAC is the one more to measure that's angle can find the best way to get the protractor lined up I think I'm going to go this way so I have this side is lying. The cereal putting that upside down t on point C you have to follow the zero until you see the side of a triangle and I know it's tough to pick out the side of the triangle say got so many but look for that letter V and there it is if I follow that up kind of imagined it extending it looks like it was hit at about 60 degrees 60 degrees add all three angles together 3060 9 + 3 is 1212 + 6 the angles in a triangle add up to 180 degrees right triangle starting with angle a right angle as well I'm going to have to cook in a way that makes it easier irritated so you have zero and even though this one I don't think it was quite as obvious as looking at it kind of an optical illusion we're going to write 90 degrees for that angle angle BAC in Salina Napa Sierra the T-Bones on point bird tattoos on the T this side is lined up with the zero we're measuring from here so you want to start with the zero in the outer scale follow it along until we get to this by and it looks like the side comes out at about 77 degrees can last one angle ACB small angle not open very wide the point C is armor text already other line segment comes out there it is at about 20 degrees Ronaldo together 9070-20 00 09 from 7 a.m. 6182 added up to 180 degrees and that is something that you need to learn the three angles of a triangle no matter what type of triangle it is there always always always going to add up to 180 degrees does not have to be a right triangle with a right angle triangle when you add up to 3 end 180 degrees in the future in rotation when you think about it son or rotation I I kind of picked her up whenever I think about this but you can also picture of Full Circle protractor whatever is going to help you make sense of it if we picked her out of all the numbers but if we are facing 12 and we rotate a circle we rotate to go all the way around we will be back at 12 so we don't have to go a full circle we can do a half a circle so we do I have wrote ain't going to have turn halfway around you would be at the number 6 if we did a forced rotation of fourth we would be at the number 3 1/4 of the way around if we did 3/4 turn we would be at what what do you think 3/4 turn of 4th to 4th 34 Suite B at the 9 Can albuterol turns in the clockwise Direction clockwise meaning the way that the spa cancel counter clockwise counterclockwise mean you had in the other direction so if I do 1/4 turn counter-clockwise it would look like that now all of this can also be 12 is like the top of a circle protractor meaning here's 0° but here also is 360° if I go a fourth of a turn a fourth of a way around would be 90° like a right angle halfway around the circle 3/4 think about counting 90 + 90 + 98 would be 270° so we can talk fractions of 4 that have to force 380 degrees we will talk more about it but it says find the measure of each angle so if you make a half turn now they're starting to turn halfway around the circle halfway you've done a hundred and eighty degrees off of circle 280 isn't straight line if you go 3/4 of the way. all the way around so it's 90 180 and then 180 + 90 is what is 70° I'm here we're going to write in the the fraction or the kind of turn it is so we can see this is a 90° angle what fraction of a whole turn is it what fraction of a circle is a 1/4 turn 1/4 - 90 degrees and what kind of turn is this we would say this is a full turn all the way around the circle is 360 so that's the end of your workbook pages say you do have a class work Mark page 7 that's required and review multiplication and reviewed I'm going to have you do this for I do want to review 1 vocab words here with you most so we started early in the year factors and multiples factors are the numbers that multiply together to equal a product multiples are the answers when you're multiplying a number by another number so if it's a multiple of 7 7 times a number and get that as an answer so to decide if it's a multiple of 7 you're going to say just seven times something times a whole number equals 16 and 7 7 * 3 is 7 times a number equals 48 7 times a number to get 42 42/7 times a number equals 35 times 527 times a number equals 7 * 11470 6427 no 77 * 10 oz are the multiples of multiplication to finesse on your us

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