1. UNIT 4

2.  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) Angles

3.  https://www.youtube.com/watch?v=NVuMULQjb3o https://www.youtube.com/watch?v=NVuMULQjb3o  https://www.youtube.com/watch?v=UgfSwlqi4Qg https://www.youtube.com/watch?v=UgfSwlqi4Qg  https://www.youtube.com/watch?v=_n3KZR1DSEo 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. Identifying angles (Page 126-129)

4. Parts of an Angle

7.  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 angles) Identifying angles (Page 126-129)

8. Practice

9. Identifying angles: Example PAT question

10.  Textbook Pages 127-128, questions 1-5 Assignment

11.  https://www.youtube.com/watch?v=KtAYV2FqdBE https://www.youtube.com/watch?v=KtAYV2FqdBE  https://www.youtube.com/watch?v=R4giTrUEF2k https://www.youtube.com/watch?v=R4giTrUEF2k  https://www.youtube.com/watch?v=t4xCOUNEInI 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)

12. 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. Measuring Angles (Page 130-138)

14. Protractor

15.  Textbook page 132, questions 2 and 3  Textbook page 136, questions 1- 7 Assignment

16.  https://www.youtube.com/watch?v=6oiDPXle97c 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)

17.  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. Drawing Angles (Page 139-142)

18.  Textbook page 141-142, questions 1-7 Assignment

19.  https://www.youtube.com/watch?v=DGKwdHMiqCg https://www.youtube.com/watch?v=DGKwdHMiqCg  https://www.youtube.com/watch?v=_7FwqgcCSA0 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. Supplementary and Complementary Angles (Page 146-149)

20. Complimentary Angles Practice

21. Supplementary Angles Practice

22. Supplementary and Complementary Angles (Page 146-149) Example PAT questions

23. Worksheet Assignment

24.  https://www.youtube.com/watch?v=YnDeYhBoCzs https://www.youtube.com/watch?v=YnDeYhBoCzs  All angles in a triangle total 180 degrees  https://www.youtube.com/watch?v=6ApegKO75d0 https://www.youtube.com/watch?v=6ApegKO75d0  All angles in a quadrilateral total 360 degrees Missing Angles in Triangles and Quadrilaterals (Page 150-153)

25.  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. Missing angle in a Triangle

26. Practice

28.  Textbook page 148-149, questions 1-9 Assignment

29.  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. Missing angle in a Quadrilateral

30. Practice

31. Missing Angles in Triangles and Quadrilaterals (Page 150-153) Example PAT question

32.  Textbook page 152-153, question 2, 3, 5, 6, 7, 8, 9 Assignment

33.  http://www.math-play.com/Tic-Tac-Toe-Game-Classifying- Angles/Tic-Tac-Toe-Game-Classifying-Angles.html http://www.math-play.com/Tic-Tac-Toe-Game-Classifying- Angles/Tic-Tac-Toe-Game-Classifying-Angles.html  https://www.studyladder.ca/games/activity/types-of- angles-13177 https://www.studyladder.ca/games/activity/types-of- angles-13177  http://www.mathplayground.com/measuringangles.html http://www.mathplayground.com/measuringangles.html  http://www.abcya.com/measuring_angles.htm http://www.abcya.com/measuring_angles.htm  http://www.amblesideprimary.com/ambleweb/mentalmat hs/protractor.html http://www.amblesideprimary.com/ambleweb/mentalmat hs/protractor.html  http://www.crickweb.co.uk/ks2numeracy-tools.html#angle http://www.crickweb.co.uk/ks2numeracy-tools.html#angle  http://www.what2learn.com/home/examgames/maths/ang les1/ http://www.what2learn.com/home/examgames/maths/ang les1/  http://www.softschools.com/math/geometry/quadrilateral s/quadrilateral_angles/ http://www.softschools.com/math/geometry/quadrilateral s/quadrilateral_angles/ Games