APSB - 7 - Maths :: Lines and angles
Go To: APSB-Mathematics-Grade 7
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[Author - Kripa S]
Objective: Introduce different types of angles and lines and their properties
Subtopics to be covered:
- Difference between line and line segment
- Types of Angles -> complementary, supplementary, adjacent, linear pair, vertically opposite, corresponding, alternate, interior, exterior
- Tyles of lines -> intersecting, parallel, perpendicular, transversal
Learning Outcome:
- Students can identify type of line or angle from a given set
- Students can solve problems to find measure of angles in a given figure
[Author - Kripa S]
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7TM_MAT.pdf#page=78 (Telangana Board) (Telugu Medium)
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (Telugu Medium)
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7EM_MAT.pdf#page=77 (Telangana Board) (English Medium)
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (English Medium)
[Author - Vinaya Santhosh]
https://te.khanacademy.org/video?lang=te&format=lite&v=m9EVjKgu-_o ( (Khan Academy) Angles at the intersection of two lines )
[Author - Kripa S]
https://static.studyladder.com/cdn/course/19/ce6062a85a2e.jpg (types of lines)
http://study.com/cimages/multimages/16/line_vs._line_segment_.png (line vs line segment)
https://www.skillsyouneed.com/images/geo/corresponding-angle.png (angles made by transversal)
https://i.ytimg.com/vi/NxIRHn7tR7I/hqdefault.jpg (corresponding angles)
[Author - Kripa S]
1. Share examples of point, line segments from daily life. (example: star, bat, tubelight, side of a fan, bench, door etc)
2. Make 8-10 chits of different types of angles. Hand over one chit to one bench and ask them to enact what angle they are. Eg: If it is an acute angle, the students will stand close to middle student, if it is an obtuse angle, the students will stand far away from the middle student. If it is right angle, the students will stand on his one side and in front to depict 90 deg.
3. Take a ruled sheet of paper. Draw (in thick colour) two parallel lines l and m. Draw a transversal t to the lines l and m. Place a tracing paper over the figure drawn. Trace the lines l, m and t. Slide the tracing paper along t, until l coincides with m. You find that angle '1' on the traced figure coincides with angle '2' of the original figure. Observe and see if there are any other angles that are coinciding.
[Author - Meghana Bommi Reddy]
https://drive.google.com/open?id=0BzNF2YyqQxJ-d0t0R0VLVTF1bFk (answerkey1)
Term' | Transliterated Term | Translated Term | |
Complementary angles | ంప్లీమెంటరీ ఆంగ్లెస్ | బహుమాన కోణాలు | |
Supplementary angles | సప్లిమెంటరీ ఆంగ్లెస్ | అనుబంధ కోణాలు | |
Acute Angle | అక్యూట్ అంగెల్ | తీవ్రమైన కోణం | |
Obtuse Angle | ఒబ్తుసే ఆంగ్లెస్ | గురు కోణం | |
Right Angle | రైట్ అంగెల్ | లంబ కోణం | |
Adjacent angles | అడ్జసెంట్ ఆంగ్లెస్ | పక్కనే ఉన్న కోణాలు | |
Transversal | ట్రాన్సవెర్సల్ | ెర్సల్ | |
Vertex | వెర్టెక్స్ | శీర్షం | |
Opposite | ఆపొసిట్ | వ్యతిరేక | |
Corresponding angles | ెస్పాండింగ్ ఆంగ్లెస్ | సంబంధిత కోణాలు | |
Interior | ఇంటీరియర్ | అంతర్గత | |
Exterior | ఎక్సటెరియర్ | బాహ్య | |
Line | లైన్ | రేఖ |
[Author -Meghana Bommi Reddy, Prasad Kaggullu]
https://drive.google.com/open?id=0BzNF2YyqQxJ-RlV0RjB2THpiQ0E (worksheet1)
https://drive.google.com/open?id=0B4m07xnDF8JpYUlZZVBVZFItcFU (worksheet2)
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