Difference between revisions of "The longest chord passes through the centre of the circle"

Revision as of 09:27, 7 May 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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 [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
+| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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+| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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+| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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+| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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 [http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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 [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 |}
-While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
-= Concept Map =
 __FORCETOC__
-[[File:circles_and_lines.mm]]
+#
-= Textbook =
-To add textbook links, please follow these instructions to:
-([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
-#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter14.pdf Karnataka text book for Class 10, Chapter 14 - Chord properties]
-#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter15.pdf Karnataka text book for Class 10, Chapter 15 - Tangent Properties]
-=Additional Information=
-==Useful websites==
-#[http://www.regentsprep.org/Regents/math/geometry/GP14/PracCircleSegments.htm www.regentsprep.com] conatins good objective problems on chords and secants <br>
-#[http://www.mathwarehouse.com/geometry/circle/tangents-secants-arcs-angles.php www.mathwarehouse.com] contains good content on circles for different classes<br>
-#[http://staff.argyll.epsb.ca/jreed/math20p/circles/tangent.htm staff.argyll]  contains good simulations<br>
-#This is a video showing construction of tangent at any point on a circle
-{{#widget:YouTube|id=LLKFqv71i0s|left}}<br>
-This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondlu
-#This is a video showing construction of tangent from external point and theorem
-{{#widget:YouTube|id=xvXaxx1u-iA|left}}<br>
-This is a resource file created by Suchetha, Mathematics teacher, GJC Thyamangondlu
-#you want see the kannada videos on theorems and construction of circle [http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ವೃತ್ತ_-_ಸ್ಪರ್ಶಕದ_ಗುಣಲಕ್ಷಣಗಳು click here] this is shared by Yakub koyyur GHS Nada.
-==Reference Books==
-= Teaching Outlines =
-Chord and its related theorems
-==Concept #1 Chord==
-===Learning objectives===
-# Meaning of circle and chord.
-# Method to measure the perpendicular distance of the chord from the centre of the circle.
-# Properties of chord.
-# Able to relate chord properties to find unknown measures in a circle.
-# Apply chord properties for proof of further theorems in circles.
-# Understand the meaning of congruent chords.
-===Notes for teachers===
-# A chord is a straight line joining 2 points on the circumference of a circle.
-# Chords within a circle can be related in many ways.
-# The theorems that involve chords of a circle are :
-* Perpendicular bisector of a chord passes through the center of a circle.
-* Congruent chords are equidistant from the center of a circle.
-* If two chords in a circle are congruent, then their intercepted arcs are congruent.
-* If two chords in a circle are congruent, then they determine two central angles that are congruent.
-===Activities===
-#Activity No 1 - [[Circles_and_lines_activity_1|Theorem 1: Perpendicular bisector of a chord passes through the center of a circle]]
-#Activity No 2 - [[Circles_and_lines_activity_2|Theorem 2.Congruent chords are equidistant from the center of a circle]]
-==Concept #2.Secant and Tangent==
-===Learning objectives===
-# The secant is a line passing through a circle touching it at any two points on the circumference.
-# A tangent is a line toucing the circle at only one point on the circumference.
-===Notes for teachers===
-===Activities===
-#Activity #1 - [[Circles_and_lines_activity_3|Understanding secant and tangent using Geogebra]]
-==Concept #3 Construction of tangents==
-===Learning objectives===
-# The students should know that tangent is a straight line touching the circle at one and only point.
-# They should understand that a tangent is perpendicular to the radius of the circle.
-# The construction protocol of a tangent.
-# Constructing a tangent to a point on the circle.
-# Constructing tangents to a circle from external point at a given distance.
-# A tangent that is common to two circles is called a common tangent.
-# A common tangent with both centres on the same side of the tangent is called a direct common tangent.
-# A common tangent with both centres on either side of the tangent is called a transverse common tangent.
-===Notes for teachers===
-===Activities===
-#Activity #1 - [[Circles_and_lines_activity_4|Construction of Direct common tangent]]
-#Activity #2 - [[Circles_and_lines_activity_5|Construction of Transverse common tangent]]
-==Concept #4 Cyclic quadrilateral==
-===Learning objectives===
-# A quadrilateral ABCD is called cyclic if all four vertices of it lie on a circle.
-# In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.
-# If the sum of a pair of opposite angles of a quadrilateral is 180, the quadrilateral is cyclic.
-# In a cyclic quadrilateral the exterior angle is equal to interior opposite angle
-===Notes for teachers===
-===Activities===
-#Activity #1 - [[Circles_and_lines_activity_6|Cyclic quadrilateral]]
-#Activity #2 - [[Circles_and_lines_activity_7|Properties of cyclic quadrilateral]]
-= Hints for difficult problems =
-#Tangents AP and AQ are drawn to circle with centre O, from an external point A. Prove that  ∠PAQ=2.∠ OPQ
-Please click [http://karnatakaeducation.org.in/KOER/en/index.php/Class10_circles_tangents#Problem_1 here] for solution.
-= Project Ideas =
-= Math Fun =
-'''Usage'''
-Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template

Difference between revisions of "The longest chord passes through the centre of the circle"

Revision as of 09:27, 7 May 2019

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