MHSB - 7 - Maths :: Geometric construction

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Go To:MSCERT-Mathematics-Grade 7

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Course Content / Subtopic list:


  1. Angle Bisector,Perpendicular Bisector Of A Line Segment, Properties Of Angle Dividers Of Triangle
  2. Triangle Structure
  3. Congruence Of Segment,Angles And Circles

English Medium

English medium textbook

Marathi Medium

Marathi medium textbook

Lesson Plan

[Contributor - Kripa S]


Objective: To learn to construct triangle, learn about congruence of segments, angles and circles

Subtopics to be covered:

- Perpendicular bisector, angle bisector construction

- Construct when 2 sides and an angle given

- Construct when 2 angles and included side given

- Construct when for a rightangled triangle, one side and hypotenuse given

Learning Oucome:

- Students can construct a triangle based on information given

- Students can identify two congruent line segments, angles and circles



Videos

[Contributors - Kripa S, Rupa Sarda]


https://www.youtube.com/watch?v=k0bc6szSo08 (Construction - Marathi)

https://www.youtube.com/watch?time_continue=3&v=79jI4LBUy4c (Angle Bisector - Marathi)

https://www.youtube.com/watch?v=kIcaI3LaOkU (Triangle - Angel Bisector - Marathi)

https://www.youtube.com/watch?v=LVvplYWWzQU (How to construct angle of giving measure - Marathi 1)

https://www.youtube.com/watch?v=k0bc6szSo08 (How to construct angle of giving measure - Marathi 2)

https://www.youtube.com/watch?v=mKXqOklRytQ (How do we Construct a Perpendicular Bisector of a Line Segment? - English)

Images

[Contributor - Kripa S]


https://i.ytimg.com/vi/yTFfWMCZYK4/maxresdefault.jpg (Geometry Box)

https://upload.wikimedia.org/wikipedia/commons/thumb/3/32/Geom_compass_ruler.png/800px-Geom_compass_ruler.png (how to use a ruler, compass)

http://www.technologystudent.com/images7/obliq3.gif (Use of set squares)

http://www.helpingwithmath.com/images/geometry/angles_measuring11.gif (use of protractor)


Activities

[Contributor - Kripa S]


1. 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.

2. Make a team of 2-3 students. On student draws a line and other student has to measure, third student will confirm if the measurement is correct. Repeat this step 4-5 times. This way the students can learn how to use the scale

3. Make a team of 2-3 students. On student draws an angle and other student has to measure, third student will confirm if the measurement is correct. Repeat this step 4-5 times. This way the students can learn how to use a protractor


Additional Aids

[Contributor - Niranjan Kadam]

https://drive.google.com/open?id=0BzNF2YyqQxJ-NEhRbWtmOFdUcVk

Transliteration

[Contributor - Satish Kothari]

Term Transliterated Term Translated Term
geometrical constructions जोमेट्रिकल कंस्ट्रक्शंस भौमितिक रचना
line लाइन रेषा
line segment लाइन सेगमेंट रेषाखंड
angle एंगल कोन
degrees डिग्रीज अंश
bisector बिसेक्टर दुभाजक
length लेंग्थ लांबी
compass कंपास रेखांकित करण्यासाठी होकायंत्र
triangle त्रिंगल त्रिकोण
concurrent काँकररेन्ट समवर्ती, एकसंपाती
point of concurrence पॉईंट ऑफ काँकररेन्स एकसंपाती
interior इंटिरियर आतील बाजू
perpendicular परपेंडीकलर काटकोनात असलेला
intersect इंटरसेक्ट छेदणे
ruler रुलर फूटपट्टी
vertices वरटाईसेस शिरोबिंदू
distance डिस्टेन्स अंतर
incentre इनसेंटर अंतरमध्य
circumcentre सर्कमसेंटर परिकेंद्र,परिमध्य
equidistant इक्विडिस्टन्ट समतोल
right angled राइट एंगल्ड उजव्या कोरीव
number नंबर संख्या
isosceles triangle आईसोसिलेस ट्राईएंगल समद्विभुज त्रिकोण
equilateral triangle ईक्विलाटरल ट्राईएंगल समभुज त्रिकोण
scalene triangle स्केलेन ट्राईएंगल विषमभुज त्रिकोण
intersection इन्टरसेकशन छेदनबिंदूला
identical आयडेनटिकल तंतोतत जुळणारा
sum सम बेरीज
hypotenuse हायपोटेनस कर्ण
arc आर्क कंस, वर्तुळाकार रेषेचा भाग
radius, radii रेडिएस त्रिज्या
shapes शेप्स आकार
trace ट्रेस सावकाश कोरुन काढणे, आराखडा काढणे
congruent कॅानगृएन्ट एकरुप
transparent ट्रान्सपेरेन्ट पारदर्शक
edges एजे्स कडा

Worksheets

[Contributor - Niranjan Kadam]

https://drive.google.com/open?id=0BzNF2YyqQxJ-Wng0Q2pxMWprMm8

Worksheets [Version 2021]


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2523_ST+4216_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2523_ST+4218_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+2523_ST+4219_V1.pdf (Worksheet 3)


Answer Keys [Version 2021]


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2523_ST+4216_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2523_ST+4218_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+2523_ST+4219_V1.docx (Answerkey 3)



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