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UNIT 4 Angles Identifying angles (Page 126-129) Measuring Angles (Page 130-138) Drawing Angles (Page 139-142) Supplementary and Complementary Angles (Page 146-149) Missing Angles in Triangles and Quadrilaterals (Page 150-153) Identifying angles (Page 126-129) https://www.youtube.com/watch?v=NVuMULQjb3o https://www.youtube.com/watch?v=UgfSwlqi4Qg https://www.youtube.com/watch?v=_n3KZR1DSEo There are 5 types of angles. Right Angle Straight Angle Acute Angle Obtuse Angle Reflex Angle Angles are measured in something called degrees. You measure from one ray/arm to another. You use a protractor to measure the degrees in an angle. Parts of an Angle Parts of an Angle Identifying angles (Page 126-129) Right angles always equal EXACTLY 90 degrees. Usually identified by a square on the vertex. Straight angles always equal EXACTLY 180 degrees. Obtuse angles (I like to think obese to help me remember,) are bigger than 90 degrees but less than 180 degrees. Acute angles (I like to think awe cute cause they’re little,) are less than 90 degrees but bigger than 0 degrees. Reflex angles are bigger that 180 degrees (the opposite side of all right, acute and obtuse angles are reflex Practice Identifying angles: Example PAT question Assignment Textbook Pages 127-128, questions 1-5 Measuring Angles (Page 130-138) https://www.youtube.com/watch?v=KtAYV2FqdBE https://www.youtube.com/watch?v=R4giTrUEF2k https://www.youtube.com/watch?v=t4xCOUNEInI You use a protractor to measure the degrees in an angle. Protractors are easy to use once you get the hang of it. Measuring Angles (Page 130-138) Step 1: Decide whether your angle is acute, obtuse, straight, right, or reflex Step 2: Line the vertex of the angle on the center circle/cross section of you protractor Step 3: Pick an ray/arm to be your base line, line your base line with the zero line on the protractor Step 4: Follow the other ray/arm to see where it measures on the protractor, but be careful there will be two numbers and you need pick the correct one by remembering what type of angle you labeled in step 1. If you decided it was an acute angle then the measurement needs to be less than 90 degrees. Protractor Assignment Textbook page 132, questions 2 and 3 Textbook page 136, questions 1- 7 Drawing Angles (Page 139-142) https://www.youtube.com/watch?v=6oiDPXle97c You’ll need a pencil, a protractor, and a ruler Step one: Draw a base line Step 2: Draw a vertex Step 3: Place your protractor on your vertex and base line Step 4: Put a dot on the measurement you are drawing. (Remember what type of angle is it? Acute, obtuse, right, straight?) Step 5: Connect your dot with the vertex Step 6: Double check your work Drawing Angles (Page 139-142) What happens when a question asks you to measure or draw a reflex angle? It’s easier then you think. If an angle was to rotate a full circle that would equal 360 degrees. If you were asked to draw a 200 degree angle, that’s 200 degrees of 360. So you go 360-200= 160 Draw the obtuse angle of 160 and then the exterior angle of that is the reflex angle 200 degrees. Let me show you on the board. Assignment Textbook page 141-142, questions 1-7 Supplementary and Complementary Angles (Page 146-149) https://www.youtube.com/watch?v=DGKwdHMiqCg https://www.youtube.com/watch?v=_7FwqgcCSA0 Complimentary Angles: The easiest what to think of this is a right angle that has been split in two. Complimentary angles always total 90 degrees. Supplementary Angles: The easiest way to think of this is a straight angle that has been split in two. Supplementary angles always total 180 degrees. Complimentary Angles Practice Supplementary Angles Practice Supplementary and Complementary Angles (Page 146-149) Example PAT questions Assignment Worksheet Missing Angles in Triangles and Quadrilaterals (Page 150-153) https://www.youtube.com/watch?v=YnDeYhBoCzs All angles in a triangle total 180 degrees https://www.youtube.com/watch?v=6ApegKO75d0 All angles in a quadrilateral total 360 degrees Missing angle in a Triangle Step 1: Add the two given angles together Step 2: Subtract the answer from step 1 by 180 Step 3: Your answer in step 2 is your missing angle If it’s an isosceles triangle (two sides and angles are exactly the same, you’ll know because they’ll be labeled with the same letter, like X and X) and they only give you the one angle that is different you can subtract that angle from 180 and divide by 2. Let’s do a couple examples on the board. Practice Practice Assignment Textbook page 148-149, questions 1-9 Missing angle in a Quadrilateral Step 1: Add the two given angles together Step 2: Subtract the answer from step 1 by 360 Step 3: Your answer in step 2 is your missing angle Sometimes they give you a more complicated question, like a quadrilateral that also has complimentary/supplementary angles. Don’t panick, just break it down. Figure out the complimentary/supplementary angles and then carry on with the steps above. Practice Missing Angles in Triangles and Quadrilaterals (Page 150-153) Example PAT question Assignment Textbook page 152-153, question 2, 3, 5, 6, 7, 8, 9 Games http://www.math-play.com/Tic-Tac-Toe-Game-ClassifyingAngles/Tic-Tac-Toe-Game-Classifying-Angles.html https://www.studyladder.ca/games/activity/types-ofangles-13177 http://www.mathplayground.com/measuringangles.html http://www.abcya.com/measuring_angles.htm http://www.amblesideprimary.com/ambleweb/mentalmat hs/protractor.html http://www.crickweb.co.uk/ks2numeracy-tools.html#angle http://www.what2learn.com/home/examgames/maths/ang les1/ http://www.softschools.com/math/geometry/quadrilateral s/quadrilateral_angles/