MHSB - 7 - Maths :: Geometric construction

Go To:MSCERT-Mathematics-Grade 7

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Course Content / Subtopic list:

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

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