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| − | <!-- This portal was created using subst:box portal skeleton -->
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| − | <!-- BANNER ACROSS TOP OF PAGE -->
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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; "|
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| − | [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story 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:_Philosophy Philosophy of Mathematics]
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| − | [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; "|
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| − | [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; "|
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| − | [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School 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; "|
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| − | [http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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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; "|
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| − | [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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| − | |}
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| − | While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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| − |
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| − | = Concept Map =
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| | __FORCETOC__ | | __FORCETOC__ |
| − | [[File:square.mm|flash]]
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| − |
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| − | = Textbook =
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| − | To add textbook links, please follow these instructions to:
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| − | ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
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| − |
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| − | =Additional Information=
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| − | ==Useful websites==
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| − | ==Reference Books==
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| − |
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| − | = Teaching Outlines =
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| − |
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| | ==Concept #1. Introduction to a square and its properties== | | ==Concept #1. Introduction to a square and its properties== |
| | [[File:square.jpeg|100px]] | | [[File:square.jpeg|100px]] |
| | | | |
| − | ===Learning objectives===
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| − | # A square is a 4-sided regular polygon with all sides equal and all internal angles 90°
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| − | # A square is the only regular quadrilateral.
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| − | # It can also be considered as a special rectangle with both adjacent sides equal.
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| − | # Its opposite sides are parallel.
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| − | # The diagonals are congruent and bisect each other at right angles
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| − | # The diagonals bisect the opposite angles.
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| − | # Each diagnol divides the square into two congruent isosceles right angled triangles.
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| − | # A square can be inscribed in a circle.
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| − | # A circle can be inscribed in a square touching all its sides.
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| − |
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| − | ===Activity No # Pull me to see if I still remain a square===
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| − | {| style="height:10px; float:right; align:center;"
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| − | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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| − | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | *Estimated Time:15 minutes.
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| − | *Materials/ Resources needed: Geogebra file, laptop, projector and a pointer.
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| − | *Prerequisites/Instructions, if any:
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| − | # The students should have prior knowledge of lines, vertices, angles and plane figures.
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| − | *Multimedia resources: Laptop.
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| − | *Website interactives/ links/ / Geogebra Applets :This geogebra is from the website : http://www.geogebratube.org/material/show/id/2474
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| − |
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| − | *Process:
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| − | # The teacher can project the geogebra file, move the red dot and ask the students if it still is a square.
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| − | # Let them reason out for the answers.
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| − | *Developmental Questions:
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| − | # What figures do you see ?
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| − | # On moving the red dot, what figure is it now ?
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| − | # Is it still a square ?
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| − | *Evaluation:
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| − | # What are the properties of a square ?
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| − | *Question corner:
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| − | # Is rectangle a square ?
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| − | # Is parallelogram a square ?
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| − | # Are all squares parallelograms ?
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| − | # Can a square be considered as a type of kite ?
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| − | # Differentiate a square and a rhombus.
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| − |
| |
| − | ===Activity No # 2. Properties of a square===
| |
| | {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| Line 87: |
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| | *Multimedia resources: Laptop | | *Multimedia resources: Laptop |
| | *Website interactives/ links/ / Geogebra Applets : This geogebra file has been created by ITfC-Edu-Team | | *Website interactives/ links/ / Geogebra Applets : This geogebra file has been created by ITfC-Edu-Team |
| − | <ggb_applet width="1282" height="601" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> | + | <span> </span> |
| | + | |
| | + | <span></span><div id="ggbContainer0ebd524a49d5348f38a30adf96a47191"></div><span></span> |
| | *Process: | | *Process: |
| | # The teacher can use this geogebra file while teaching the properties of a square. | | # The teacher can use this geogebra file while teaching the properties of a square. |
| Line 113: |
Line 41: |
| | ==Concept #2. Measurements in a square.== | | ==Concept #2. Measurements in a square.== |
| | ===Learning objectives=== | | ===Learning objectives=== |
| − | # Four sides of a square are equal.
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| − | # Adjacent sides are at right angles with each other.
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| − | # The area of a square is side x side sq units.
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| − | # The perimeter of a square is the length of distance around its boumdary which is 4 times its side.
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| − |
| |
| − | ===Notes for teachers===
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| − | ===Activity No # Understanding the area of a square ===
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| − | {| style="height:10px; float:right; align:center;"
| |
| − | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
| |
| − | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
| |
| − | *Estimated Time: 20 minutes.
| |
| − | *Materials/ Resources needed:
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| − | # Laptop, geogebra file, projector and a pointer.
| |
| − | *Prerequisites/Instructions, if any
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| − | *Multimedia resources: Laptop
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| − | *Website interactives/ links/ / Geogebra Applets : This geogebra file was created by ITfC-Edu-Team
| |
| − | <ggb_applet width="1280" height="600" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
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| − | *Process:
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| − | # The teacher can project the geogebra file and explain about the formula for area and perimeter of a square.
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| − | *Developmental Questions:
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| − | # Identify the shape ?
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| − | # What is the measure of each small square ?
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| − | # What is the area of each small square ?
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| − | # What is the area of the bigger square ?
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| − | # What is the perimeter of the small square ? and larger square ?
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| − | *Evaluation:
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| − | # What do you understand by the terms area and perimeter ?
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| − | *Question Corner:
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| − | # How do you find the area and perimeter of an irregular shape ?
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| − | # Explain the association of the term 'square' in the unit square cm.
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| − |
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| − | ==Concept # 3. Construction of a square.==
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| − | ===Learning objectives===
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| − | # Construction of a perfect square.
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| − | # Use of equal radius arcs to get equal sides of a square in the construction protocol.
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| − | # Use of perpendicular lines to draw sides of a square.
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| − | ===Notes for teachers===
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| − | ===Activity No # 1. Constructing a square.===
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| − | {| style="height:10px; float:right; align:center;"
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| − | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
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| − | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | *Estimated Time :40 minutes
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| − | *Materials/ Resources needed : White paper, compass, pencil and scale.
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| − | *Prerequisites/Instructions, if any:
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| − | # Basics of square, circle and constructing perpendicular lines should have been covered.
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| − | *Multimedia resources
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| − | *Website interactives/ links/ / Geogebra Applets:
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| − | This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html
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| − | *Process:
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| − | [[File:sq const.jpeg|300px]]
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| − |
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| − | # To construct a square of a given length, draw a line segment AB of given length.
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| − | # Draw perpendicular to the line AB at A.
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| − | # Taking AB as radius draw a circle with A as centre.
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| − | # The circle intersects the perpendicular at a point. Name the intersecting point as C.
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| − | # Similarly draw perpendiculars to AC at C. You get third side of the square.
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| − | # To get the fourth side of the square construct a perpendicular to AB at B.
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| − | # Name the two intersecting perpendiculars as D.
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| − | # ABCD would be the required square.
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| − | *Developmental Questions:
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| − | # For what measure are you drawing a square ?
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| − | # What is a perpendicular line ?
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| − | # Why are we constructing perpendicular lines for constructing a square ?
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| − | # What is the purpose of drawing a circle ?
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| − | # How do we determine the fourth vertex of the square ?
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| − | *Evaluation:
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| − | # What are perpendicular lines ?
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| − | # Why is a circle being drawn ? Which purpose would it solve ?
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| − | *Question Corner
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| − | # Can a square be constructed without using a compass ?
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| − |
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| − | = Hints for difficult problems =
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| − |
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| − | = Project Ideas =
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| − |
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| − | = Math Fun =
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| − |
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| − | '''Usage'''
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| − |
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| − | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
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