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Geometry Opener(s) 10/20 (10/9 & 11 – 13/14) 10/20 It’s National Brandied Fruit Day, World Osteoporosis Day and World Statistics Day!!! Happy Birthday John Krasinski, Snoop Dogg, Viggo Mortensen, Danny Boyle, Thomas Newman, Tom Petty, Eddie Harris, Empress Michiko of Japan, Mickey Mantle, Joyce Brothers, Art Buchwald, Jean-Pierre Melville, Jelly Roll Morton, Bela Lugosi, Charles Ives, John Dewey, Arthur Rimbaud and Christopher Wren!!! 10/20 What to do today: 1. Do the opener. 2. Be amazed at a blobbiness demo. 3. Fold some paper. 4. Look at Mr. Keys’s iTunes. 5. Discuss how to measure musical success & collate. 6. Discuss successful/non-successful singers & collate. 7. Discuss valid success factors & collate. 8. Discuss ranges of success factors & collate. 9. √ HW. 10. Record HW assignment. 11. Begin a quiz. 12. Do the exit pass. TODAY’S OPENER 1. Two angles are complementary. The measure of one angle is 21 more than twice Agenda the measure of the other angle. Find the 1. Opener (5) measures of the angles. 2. Blobbiness Demo (?) 2. Find the length of each side of the polygon. 3. Individual Work: Paper folding & square labeling (3) 4. Lecture: What’s in my iTunes? (3) 5. Group Work 1: Musical Success – how do you measure it? (8) 6. Discussion 1: Measure collation (6) 7. Group Work 2: Musical Success – who’s successful and not successful? (8) 8. Discussion 2: Personality collation (6) 9. Group Work 3: Musical Success – which factors to consider? (8) 10. Discussion 3: Factor # collation (6) 11. Group Work 4: Musical Success – how much of each factor means success? (8) 12. Discussion 4: Factor ranges collation (6) 13. HW √: Kanji question answering & student board work volunteers (15) 14. HW Assignment: (1) 15. Quiz (15) 16. Exit Pass (5) Standard(s) CCSS-M-G-CO.A.1: Know precise definitions of various geometric figures Essential Question(s) How do I name and label geometric figures? How do I classify/name parts of angles? How do I determine missing angle measures? How do I formulate hypotheses and list criteria for conclusions? How do I prove success? Objective(s) The Last Opener Students will be able to (SWBAT) correlate antiblobbiness with geometry. SWBAT geometrically notate. SWBAT classify and name parts of an angle. SWBAT use the quality of bisection & special angle relationships to determine missing angle measures. SWBAT formulate a hypothesis. SWBAT list criteria to validate a hypothesis. Exit Pass (10/9 – 13/14) The Last Exit Pass ⃡ and 𝑩𝑫 ⃡ are . Find the value of x so that 𝑨𝑪 HOMEWORK Period 1 & 7 Wksht. 1-4, p. 27 & 1-5, p. 30. HOMEWORK Period 3, 5 and 8 Complete take-home angle measure and relationships quiz. Extra Credit Period 1 Period 2A Period 3 Mirian S. (12x) Stephanie L. (2x) Oscar C. Alexis S. (11x) Jocelyn L. (8x) Roxana (2x) Melissa A. (5x) Amal S. (12x) Angel V. Arely T. (3x) Perla (5x) Jose C. Israel H. (7x) Lesley S. (2x) Jaime P. Victor C. Evelyn A. Frank S. Israel A. Joshua P. (7x) Rodrigo F. (2x) Jaclyn C. (4x) Ana O. (3x) Alejandra G. (5x) Griselda Z. (2x) Jiahui Lin (4x) Nadia L. (6x) Fabian R. (6x) Anthony C. (10x) Carolina D. (2x) Gabino G. (3x) Bert F. (2x) Jacob L. Brandon S. (2x) Anthony P. (2x) Daniel P. (2x) Jaime A. William M. (4x) Paul P. (2x) Alicia R. (4x) Gabriela O. (2x) Jocelyn J. Amanda S. (4x) Ronny V. (7x) Luis H. Steffanie P. Sierra (3x) Angie H. (5x) Rosario R. (3x) Claudia M. (6x) Kassandra G. (11x) Sonia Catalina Juan F. Michelle S. (2x) Josue A. (2x) Javier D. Ricardo D. Michelle S. Arslan A. (2x) Cesar O. (4x) Abrahan (2x) Paulina (2x) Omar R. (3x) Period 5 Period 7 Period 8 Cesar H. Maria M. (2x) Jose C. (4x) Rob C. Antonio B. (10x) Rogelio G. (8x) Eraldy B. (7x) Carlos L. (6x) Jesus H. (4x) Jose D. (6x) Brianna (2x) Aurora G. (4x) Erick (2x) Solai (5x) Gary C. Jose G. (4x) Anthony G. Liz L. Alex A. (2x) Zilagi Jonathan Crystal Anthony Rob Eraldy Carmen A. (6x) Ruby L. (8x) Elizabeth A. (2x) Cristian A. (3x) Jennifer G. Jenny Q. (2x) Xochitl R. (2x) Adriana H. (5x) Jocelyn C. (7x) Gabriela G. (6x) Diego P. (13x) Vicente Limon (4x) Jackie B. (6x) Kamil (2x) Gustavo C. (13x) Jose R. (5x) Ana R. (6x) Alfredo (2x) Zelexus Liliana F. (2x) Danny G. Julian E. Jorge L. (2x) Alejandra P. Gerardo L. (2x) Santiago H. (4x) Bianca S. Alejandra G. Yuritzi Jessica T.(10x) Jose E. Esmerelda (5x) Fernando V. (3x) Stephanie (4x) Maria M. (6x) Brian (2x) Saul Andrea N. Lily Ernesto Blanca S. (2x) Jessica C. (2x) Plot these points! NOW… A (-6, 14) B (-6, 7) C (-9, 10) D (-3, 10) E (-11, 7) F (-1, 7) G (-1, 11) H (-12, 1) I (-9, 4) J (-4, 4) J K (-6½ , 1) K L (-6½ , -6) L M (-8 , -4) N (-10, -2) O (-5, -1) P (3, 14) Q (-1, 5) R ( ½ , 8) S (9, 8) T (6, 8) U (3, 1) U W (-½ , 4½) U V (-3, -4) U X (9, -5) Y (-6, 10) 1. Find and name 4 right angles. 2. Find and name 2 lines. 3. Find and name the s within a linear pair. 4. Find and name 2 supplementary s. 5. Find and name 2 complementary s. 6. Find and name an acute . 7. Find and name an obtuse . 8. Find and name a straight . 9. Find and name a reflex . 10. Find and name 2 vertical s. 11. What’s the length & midpoint of 1 diagonal segment? (Show work!) 12. What’s the length & midpoint of 1 horizontal segment? (Show work!) 13. What’s the kanji? 1. Find and name 4 right angles. 2. Find and name 2 lines. 3. Find & name the s w/in a linear pair. 4. Find and name 2 supplementary s. 5. Find and name 2 complementary s. 6. Find and name an acute . 7. Find and name an obtuse . 8. Find and name a straight . 9. Find and name a reflex . 10. Find and name 2 vertical s. 11. What’s the length & midpoint of 1 diagonal segment? (Show work!) 12. What’s the length & midpoint of 1 horizontal segment? (Show work!) 13. What’s the kanji? What makes a successful singer? Record sales Money earned Number of fans #1 on iTunes Award winner Reaches the Top 10 Has a new album Positive things being said about them Effort Arena sales Good music Charity donations Not just a singer! Sponsors Record labels Good vocals Public speaking experience Fan communication & behavior Popularity Meaningful songs Appearance/Good looks Responsible Passionate about singing Good reputation Lyrics Voice People they associate with Style Pursued their dreams Good manager Went beyond others’s expectations Personality Instruments Beat Good role model Let’s pare it down!!! Who’s a successful singer? Eminem Bruno Mars Miley Cyrus Lady Gaga Michael Jackson Justin Timberlake Chief Keefe Paramore Beyonce Rihanna Katy Perry Mariah Carey Drake Justin Bieber Tupac Selena Gomez Brittney Spears One Direction Jenny Rivera The Wanted Ace Successful Future Clara Kelly Rowland Ariana Grande Lil Wayne Who’s an Unsuccessful singer? Selena Gomez Lady Gaga Will Smith Shaq Miley Cyrus Brittney Spears Lil Wayne Justin Bieber Kanye West Chief Keefe Taylor Swift 2 Chainz Chris Brown Rebecca Black Lil Jojo Lil Snoop What makes a successful singer? Record sales Money earned Number of fans #1 on iTunes Award winner Reaches the Top 10 Has a new album Positive things being said about them Effort Arena sales Good music Charity donations Not just a singer! Sponsors Record labels Good vocals Public speaking experience Fan communication & behavior Popularity Meaningful songs Appearance/Good looks Responsible Passionate about singing Good reputation Lyrics Voice People they associate with Style Pursued their dreams Good manager Went beyond others’s expectations Personality Instruments Beat Good role model Let’s pare it down!!! Who’s a successful singer? Record Sales Money Earned Number of Fans #1 Songs on iTunes Awards Won Songs Reaching the Top 10 Arena (Concert Ticket) Sales Charity Donations Sponsors Multiple Jobs/Roles Record Labels New/Interview Appearances Best Dressed List Crime Record Clothing/Accessory Line Longevity Eminem Bruno Mars Miley Cyrus Lady Gaga Michael Jackson Justin Timberlake Chief Keefe Paramore Beyonce Rihanna Katy Perry Mariah Carey Drake Justin Bieber Tupac Selena Gomez Brittney Spears One Direction Jenny Rivera The Wanted Ace Successful Future Clara Kelly Rowland Ariana Grande Lil Wayne Who’s an Unsuccessful singer? Selena Gomez Lady Gaga Will Smith Shaq Miley Cyrus Brittney Spears Lil Wayne Justin Bieber Kanye West Chief Keefe Taylor Swift 2 Chainz Chris Brown Rebecca Black Lil Jojo Lil Snoop What makes a successful singer? What’s at the unsuccessful end? What’s at the successful end? 1. Record Sales 1. $100,000 1. $20,000,000 2. Net Worth 2. $20,000 2. $50,000,000 3. Number of Fans 3. Thousands 3. Millions 4. #1 Songs on iTunes 4. 1 4. 5 5. Awards Won 5. 4 5. 10 6. Songs Reaching the Top 10 6. 1 6. 11 7. Arena (Concert Ticket) Sales 7. $5,000 7. $10,000,000 8. Charity Donations 8. No 8. Yes 9. Sponsors 9. None 9. 2 10.Multiple Jobs/Roles 10.No 10.2 11.Record Labels 11.No major label 11.2 12.New/Interview Appearances 12.None 12.10 13.Best Dressed List 13.0 13.2 14.Crime Record 14.7 ‘arrests’ 14.2 ‘arrests’ 15.Clothing/Accessory Line 15.No 15.Yes 16.Less than a year 16.3 years 16. Longevity Who’s a successful singer? Selena Gomez Lady Gaga Will Smith Shaq Miley Cyrus Brittney Spears Lil Wayne Justin Bieber Kanye West Chief Keefe Taylor Swift 2 Chainz Chris Brown Rebecca Black Lil Jojo Lil Snoop Eminem Bruno Mars Michael Jackson Justin Timberlake Paramore Beyonce Rihanna Katy Perry Mariah Carey Drake Tupac One Direction Jenny Rivera The Wanted Ace Successful Future Clara Kelly Rowland Ariana Grande Is Britney Spears is a SUCCESSFUL SINGER? Statements Reasons Britney has record sales of $30,000,000 for 2013 so she may be successful. www.britneyspears.com/ Britney Piece of Me Success Law 1: A successful singer has $20,000,000 or more in record sales. Britney’s net worth is $220,000,000 so she may be successful. http://www.celebritynetworth.com/richestcelebrities/singers/britney-spears-net-worth/Celebrity Networth Success Law 2: A successful singer has a net worth of $50,000,000 or more. Britney has 35,000,000 tweet followers so she may be successful. https://twitter.com/britneyspears Britney Spears Success Law 3: A successful singer has a million or more fans. Britney has won 11 Billboard awards so she may be successful. http://en.wikipedia.org/wiki/List_of_awards_and_nomina tions_received_by_Britney_Spears List of awards and nominations received by Britney Spears Success Law 5: A successful singer has won 10 or more awards. Britney has donated to or supported 12 different charities, primarily the Britney Spears Foundation so she may be successful. http://www.looktothestars.org/celebrity/britney-spears Look to the Stars Success Law 8: A successful singer has donated to charities. Britney has been a singer and a television host…of The X Factor so she may be successful. http://www.biography.com/people/britney-spears9542229 bio. True Story. Success Law 10: A successful singer has filled 2 or more job roles. Britney made her singing debut in 1998 and has had a single on the charts every year (except 2006) since then…15 years so she may be successful. http://www.billboard.com/articles/list/464875/britneyspears-20-biggest-billboard-hits billboardbiz Success Law 16: A successful singer has been in the business for at least 3 years. Britney is a successful singer. Rule of +7: If a singer fulfills 7 success laws, he or she’s a successful singer. [Rule of -7: If a singer doesn’t fulfill 7 success laws, he or she isn’t a successful singer.] Less than 7 pieces of evidence in improper format. 59-% 7 pieces of evidence in 60+% proper format. Details? 7 pieces of evidence in proper format with 70+% conclusion. Details? 7 pieces of evidence in 80+% proper format with conclusion PLUS POSTER. Details? 7 pieces of evidence in 90%+ proper detailed format with conclusion PLUS POSTER… with illustrations. Name Plane Line Ray Segment Point Collinear Noncollinear Coplanar NonCoplanar Definition A flat 2-dimensional (length and width) surface that extends forever above, below, to the right and to the left and is defined by 3 points. A straight 1-dimensional (length) set of points that extends forever in 2 directions (left and right OR up and down) and is defined by 2 points. A straight 1-dimensional (length) set of points that extends forever in 1 direction (left OR right OR up OR down) and is defined by 2 points, one of which is an initial end point. A straight 1-dimensional (length) set of points that does not extend forever and is delimited by 2 endpoints. A 0-dimensional dot that simply defines a location. An adjective that describes points contained on the same line. An adjective that describes points NOT contained on the same line. An adjective that describes usually non-collinear points contained in the same plane. An adjective that describes points NOT contained in the same plane. Figure Notation Congruent Two geometric figures that have the same SIZE and SHAPE. NOTES: Don’t Dis -Dis (or ‘Midpoints Part 2’) 10-4 How many words can you write down that begin with the prefix ‘dis-‘, meaning apart or away or having a reversing force? disable disarrange disembark disinterred disagree disapprove disentangle dislike disadvantage disbelieve disinfect dislocate disallow discomfort disinformation dislodge disappear discontented disinterest disloyal DISTANCE X Y Given: A Number Line with 2 endpoints distance Objective: Find the Step 1. Write the number values as a difference. Step 2. Put absolute value signs around the difference. Step 3. Subtract the number values and take the absolute value. Formula: | 𝑿 − 𝒀 | or | 𝒀 − 𝑿 | Title: Finding the length of a number line segment (X, Y) (X, Y) (X, Y) Given: A Coordinate Plane with 2 endpoints Objective: Find the distance Step 1. Subtract the two x-coordinates…x1 and x2 . Step 2. Square the difference. Step 3. Subtract the two y-coordinates…y1 and y2 . Step 4. Square the difference. Step 5. Add the two differences. Step 6. Take the square root of that sum. Formula: √(𝐱 𝟐 − 𝐱 𝟏 )𝟐 + (𝐲𝟐 − 𝐲𝟏 )𝟐 Title: Finding the length of a coordinate plane segment What’s new? Why does this work??? 9-26 NOTES: The Bible of Bi- How many words can you write down that begin with the prefix ‘bi-‘? 1. bipolar 2. bisexual 3. binoculars 4. bifocals 5. biannual, bimonthly, biweekly, bicentennial 6. binary 7. bipolar 8. bisexual 9. binoculars 10. bifocals 11. biannual, bimonthly, biweekly, bicentennial 12. binary X Given: A Number Line with 2 endpoints 13. bipolar 14. bisexual 15. binoculars 16. bifocals 17. biannual, bimonthly, biweekly, bicentennial 18. binary Y Objective: Find the midpoint Step 1. Add the number values for the two segment endpoints. Step 2. Divide by 2. Formula: 𝑿+𝒀 𝟐 Title: Finding the midpoint of a number line segment A B Given: A Coordinate Plane with 2 endpoints Step 1. Step 2. Step 3. Step 4. Formula: Objective: Find the midpoint Add the X coordinates of the segment endpoints. Divide by two. Add the Y coordinates of the segment endpoints. Divide by two. 𝑿𝟏 + 𝑿𝟐 𝒀𝟏 + 𝒀𝟐 ( , ) 𝟐 𝟐 Title: Finding the midpoint of a coordinate plane segment What’s new? NOTES: Rays, Angles & Protractors Name Definition 2. Angle () An initial point or endpoint with an infinite number of points extending in one direction. 2 rays that share the same endpoint. 3. side Each ray that makes up the angle. 4. Degree 1/360th of a full circle. 1. Ray 5. Degree measure How open/closed the angle is in degrees. Figure 10/7 Notation ⃡𝐼𝐹 BED ⃡𝐼𝐹 ° 23° 6. arc The curved line inside an angle that distinguishes its interior from its exterior. A curved line touching the two rays of an angle. 7. Vertex of an The endpoint of the two sides of an angle. A single uppercase printed letter: the middle letter of a named angle. (B in ABC) 8. Interior of an The inside of an angle, denoted by the arc. (yellow) 9. Exterior of an The outside of an angle, denoted by the ABSENCE of an arc. (green) 10.Right An angle formed by 2 perpendicular rays, its measure equal to 90°. mABC = 90° 11.Acute An angle formed by 2 rays, its measure less than 90°. mABC < 90° 12.Obtuse An angle formed by 2 rays, its measure greater than 90°. 180 > mABC > 90° 13.Reflex An angle formed by 2 rays, its measure greater than 180°. 360 > mABC > 180° 14.Straight An angle formed by 2 opposite rays, its measure equal to 180°. mABC = 180° 15.Congruent s 2 angles that have the same degree measure. ABC ≅ DEF 16. Bisector A ray with an endpoint that is identical to the vertex of an angle and which divides that angle in half. 17.Adjacent s 18.Complementary s 19.Supplementary s 20.Vertical s 21.Linear Pair BG 10/14/14 Copying & Bisecting an Angle Copying an Angle 1. Draw a ray. 2. Label its endpoint U. 3. Draw another non-collinear ray that shares the 1st ray’s endpt. 4. Draw another separate ray… far away from the angle. 5. Label its endpt. L 6. Draw an arc in your from 1 side to the other. (Don’t change your compass’s width!) 7. Label the intersection points B and G. 8. Draw the same arc on your 3rd ray. 9. Label its intersection point Y. 10.Draw a 2nd arc in your with compass pt. on G and pencil point on B. (Don’t change your compass’s width!) 11.Draw the same arc on your 3rd ray. 12.Label the intersection point F. 13.Connect L to F. Bisecting an Angle 1. Draw an angle. 2. Label its vertex A. 3. Draw an arc in your angle from one side to the other. 4. Label the intersection pts. W and P. 5. Draw an arc with your compass pt. on W, at least ½ -way across the interior. (Don’t change your compass’s width!) 6. Draw the same arc from your P. 7. Label the intersection point of those 2 arcs S. 8. Connect A to S.