36
edits
Changes
Jump to navigation
Jump to search
Line 1:
Line 1: + + − + − + − + − + − + − + − + − + − <mm>[[polygons.mm|flash]]</mm>+ − + + − + − + + + + + + − + − + Line 37:
Line 45: + + + + + + + + + + + + + + Line 54:
Line 76: − Line 66:
Line 87: − + − + − + − + − + + + Line 132:
Line 155: − + − + − + − + Line 192:
Line 215: − + − + Line 249:
Line 272: + + + + + + + + + + + + + + + + + + + + + + + + + Line 257:
Line 305: + +
→Angle sum property
<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;">
''[http://karnatakaeducation.org.in/KOER/index.php/ಬಹು_ಭುಜಾಕೃತಿಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
<!-- This portal was created using subst:box portal skeleton -->
<!-- This portal was created using subst:box portal skeleton -->
<!-- BANNER ACROSS TOP OF PAGE -->
<!-- BANNER ACROSS TOP OF PAGE -->
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
|-
|-
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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:_History The Story of Mathematics]
[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]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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]
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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/Text_Books#Mathematics_-_Textbooks Textbooks]
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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:_Question_Papers Question Bank]
[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'''].
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==
==Concept map==
{{#drawio:mmPolygons|interactive}}
= Textbook =
== Textbook ==
To add textbook links, please follow these instructions to:
To add textbook links, please follow these instructions to:
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
=Additional Information=
==Additional Information==
==Useful websites==
=== Resources ===
==== Resource Title ====
[http://www.mathopenref.com/tocs/polygontoc.html Polygons]
===Useful websites===
1. http://www.wyzant.com/resources/lessons/math/geometry/quadrilaterals/polygons . This website is good for referring to the theory regarding polygons.
1. http://www.wyzant.com/resources/lessons/math/geometry/quadrilaterals/polygons . This website is good for referring to the theory regarding polygons.
==Reference Books==
===Reference Books===
= Teaching Outlines =
== Teaching Outlines ==
# Introduction to polygon
# Introduction to polygon
# Characteristics of polygons.
# Characteristics of polygons.
# Types of polygons.
# Types of polygons.
==Building prior competencies==
Many student are entering Class 9 without adequate understanding of prior concepts like angles, line, etc.
Therefore, the following sequence of lessons has been suggested with a combination of hands-on activities, Geogebra work to build those concepts in students.
[[File:Polygon_prior_competencies_upload.mm|flash]]
The following Geogebra files are used with associated lessons:
#[[:File:0. Angles introduction.ggb|Angles introduction]]
#[[:File:1. Complementary angles demonstration.ggb|Complementary angles]]
#[[:File:2. Supplementary angles demonstration.ggb|Supplementary angles]]
#[[:File:3. parallellines-2.ggb|Activity with parallel line]]
#[[:File:4. Introduction to a triangle.ggb|Demonstration of triangle]]
#[[:File:5. Introduction to a polygon.ggb|Polygon]]
==Concept #1. Introduction to polygons and nomenclature.==
==Concept #1. Introduction to polygons and nomenclature.==
===Learning objectives===
===Learning objectives===
[[File:naming polygons.jpeg|400px]]
[[File:naming polygons.jpeg|400px]]
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
*Prerequisites/Instructions, if any:
*Prerequisites/Instructions, if any:
# The students should know that lines intersect to form figures.
# Lines intersect to form figures.
# In other words plane closed figures have atleast 3 sides.
# Plane closed figures have atleast 3 sides.
# The intersecting points of two lines is known as a vertex and the lines are the edges/sides.
# The intersecting points of two lines is known as a vertex and the lines are the edges/sides.
# The student should know the meaning of greek numerals uni, bi, tri ....etc.
# Meaning of greek numerals uni, bi, tri ....etc.
*Multimedia resources: Laptop
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by Maths stf teachers.
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by '''Smt Sarah Zakiya Madam, GUHS, Yellagondapalya.'''
<ggb_applet width="1282" height="601" version="4.0" ggbBase64="UEsDBBQACAAIAEJikkMAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfdGh1bWJuYWlsLnBuZ2VVeVRSaRxFU0SNEZckrYSDtMxI5uSogwlpIw2aS6tpgpaZmIqZmUqiUdgxJE3LrGyxNCkPolGK0nZSsY3QJJCUSNsMpY1wJah5NM3M6cwf7/vOed/v/e793e/e81irI/6E2rjagEAgaAgxeC2w3wMeEgQMrB5NejEIBA4ICQ5anzvw7ow41SkWdodS99lg1Sg6Vlh2u2tbxsKVO19WIy2cns5mdqijDjBehLbzYF62QUFO7SVN4ZCT99FHj9PC3BLQdmvsRzn+2JDISM4uzs18iv50fOf5yGFZ83j+1rpb/uSj3RKJhPWOLxBUFlOrFOmWsQqt8CEhnUbr19fMmTOn/gmH9i7q8u551WLSqzt37/KWXGturvihNDNTqq/hcrk/lBZ31Vx6KA3sTavZxVuV1fjm48Dbt2mSqu7dOD2+paSxpLQUrFN/HpvbmmSQns9+nSkcwR8uKdkw/bqqp7Oz06dArus35HnqT9cSrRAkUSKsBK3cWlCAn6X8rUllI2h8ueuk7WQ2PxNbPpFd7k0J7j6r4ssV3WccsTtXvDLQytnwnLjHWxXpH24Oj5eWGrHXo7+8T8C6IBdGFs/FojLH1AUM9Y6ZuCWY9VYdjeRwxuxl5qIPoJ3pp/yOuJjH6hCDDeQ2ZKY+iw7u1dWvS9NdkYh9l0wNdSBY8porKLi7oix6MYZ/DzkyMDE2JrMgUigLXdAeLoVRjh/bLR242wVkMlmqUi02Go1Het7wVj7JTk6GsORhLB8cbt7s1Ae9l6TCZ9tkwrOdqa5hvT5nNHvG8lPmkB+f8vY/fCuyx9vbe7fiULz/mCubzQ6fjFkG6wAUEba2bgytW8uh952XLhvdiKuWUN7U9BAxACTBf2oItaU8AmqOb0MyGXaeR7bBUmAmLrb0jPKwBHvkEJN9AvTcdt3fu0frENMW7Qx8dFL0i5NN32JYFTVNaR3GZlC590Wiwt1c1nbHZE7PNVy60rycUN2CuyOgdtKzPfUPTTqYsyzxbcRF/EXSdiv4r2b7ReYIUlnQbSv4/aUQHwjQdUGgetgSQVr9jYoc+R/HmPJSU/FcB6QAt0J/MTXtM1UmKI9rqK//WXNrgWSPZCImj+s60vWgqmeAm6hUJOKXwfM5YDMECckH+lvPd5404XzHFFlAlDeASUyjEq64Fs4Exj8HZuGyIgOQL8vuXuA1NKwn+xl0Qb4y5E8yJJ6IyV95123oHRJyOGNzs0Yn/8M3Kf3ZYF+f8+lx+5Q9ZGOMQjIYLRXygxKwKP6T4Vn9T59mucZ79CdJKGe9xpcHTC9i43WF9aoox+IsADIM/HyHbr+d55MugAxa2YUK/Mat48y3Q8ZliS2+LTBhH6BBCGYpoMt+VwvgOhrAQaZ3CeaAXTaFJ/s8t15X5DZjxgyoikVIoKEAVQlfDPbY7LeIEY2m1quOeBHMcmMyUTnvDwbQPjmqwqErwNYIjQbVuoNN/4LJHB+NnNYfG6xKLFvNmIpjBuQiPw1LIhgzobz7klPq9BQYOiqDPo3K/PAsIkOdO/m+KIDe5uhFxKArJ81qpKPGz6OgXl1LKio21gJi9kIL5+DpMJohd/nvWTfowmt5zsI8P+XUJrlvKj5v+lisqu/mzlp/4Cz/Ot8PMRvm4ta94FaUQFLVExeKUfXlTzT4Bh4SSbXa2oPPnKfHbVmvW/5nMRbeIAL81GyN1grX9ldoFHvvaRSDTMajBu2ovHXI8KIr1MsvlcmMVRIM+n0FIxO57rwFe1/q9nbtcscfD52vEUB1/UL11RzljckP4myQLMlunuvcXkXWcS4p6dRxapydtDFdk6LNX50RPL/SpRofkrEjWOOMrixyEF9EGft4o1RVGwoXcHY5nKavQKnEKBWcVbdPq15jHLq0kP/wURzvgCW6MsdBXDQTyO/rKe0NkhDFr22dzFG1lJbSve4h03T+F1d5HCsmXav4ytVUimcJ6dhI6ItYaMc3g8pMgUv0gcSfAJyRG3eBaefpAB9xd3cHdBjw3KKMOCcoaa66JLtKVT6i2PgqKdQNyRfk6FQ8nE34Pp23C2CWIFOiidHMy2wgcQetYe9NiSqLNjV3YKPm/VMQxSz7FzVY8NXc3tjE84UWqoHfCSiEEBHcuGLz/r8AUEsHCNHXYXk+BgAAdQYAAFBLAwQUAAgACABCYpJDAAAAAAAAAAAAAAAAFgAAAGdlb2dlYnJhX2phdmFzY3JpcHQuanNLK81LLsnMz1NIT0/yz/PMyyzR0FSoruUCAFBLBwhFzN5dGgAAABgAAABQSwMEFAAIAAgAQmKSQwAAAAAAAAAAAAAAAAwAAABnZW9nZWJyYS54bWzdWt1y47YVvt48xRle9MqmAILgz1bejNfrZD3j2G7sdLa96YAkLCOmSIWkbGknL9Cn6Lv1SXoAkBQl/0Taddw2GtsgiAOcc77zS8rjbxfTHO5kVauyOHCoSxyQRVpmqpgcOPPmej9yvn33zXgiy4lMKgHXZTUVzYHja0qVHTgJDa5lLPl+krBk35eJt5+ICKdpSnjAI+lnsQOwqNXbojwTU1nPRCov0xs5FadlKhrD+KZpZm9Ho/v7e7dj5ZbVZDSZJO6izhxAMYv6wGkv3uJxa5vumSH3CKGjTz+c2uP3VVE3okilA1qFuXr3zZvxvSqy8h7uVdbcoMJe5DlwI9XkBpUKOXNgpKlmiMhMpo26kzXuHUyN0s105hgyUej1N/YK8l4fBzJ1pzJZHTjEpV5IfU4iHhHmM49yB8pKyaJpiWnLdNQdN75T8t6eq68MS9+BpizzROgj4ddfwSMegT09UDt4OASBXSL2HmF28Ozg24FbGt9u9y2pb2l8S+MjEHeqVkkuD5xrkdeIoSquK7RfP6+bZS6NPO2Nlfp0D3Wq1WckRn4OWNBR8D2y5xPza3UeKEgHHJtqviPDjh0adEt+3ldpyJ7Uz3tKv+AZhlbhrRTkA36c7Jkf8/uAI3tOxU2Odv51DAP/VVQcj7r4GLchAfWNpm3dppHTWgcJi4HH2tcpcAyIIETX5kBjHEIPMASAcvA5TmkEgR5DYCEu+MAgAk1HGZiI4BH+8UNzWAAcD9N3QwxEoMjIB86AmkDyAcMHTDBiYHoMKTgHjps0e+rpI1gAfoAzFoGPMuo4DCkSMtyIc2TvAaPA9GYaghdAoM+jvo7vINKi45EeBAQCqg/EUMYwtiGM9BEwrU3QwqWK2bxZgyidZt1lU856WyA1JqFVrrNJaS0VvhnnIpE5lodLbUmAO5HraDCMrsuigT4Q7b1JJWY3Kq0vZdPgrhp+FnfiVDRy8R1S1x1vQ5uWRX1Rlc1Rmc+nRQ2QljnpZS5zOrj2eqlxwgYL/nCBDxaCwXX4KN8SV2BeS+RfVnVHLrLsRFOs0gIieV7ky/eVFLezUq2rMR6ZSjOW8zRXmRLFX9FZNReNCwwKD1kVHh7FnSRllV0ua3RhWPxdViVS+oEbBB5ljPqe70cEzbq0SywK3MijYUBiGnh+rFNMnQodfYy7YUxipA69KCQ+1pzlk0uGtbzrTSQWcqXtpFK9s+jrk/p9mWf9stH/SMyaeWV6BkyMlVbqsJjk0viIiWwsyOltUi4urXMwe9bVcoYzYgVIJgZ3wNzgcZR30o6JHQ2NlqynIoaGGArSeZvK+nUae4bCjIkdDRW6rxWt1ZR2WlLSsVG1yWjEaeOmy1ba+XV5nxeqOe0mjUpvV6rqDWfzaSJ7F1o/k77UmePRho+Nb2VVyLx1abTlvJzXNkIH3p7JVE1xahdaSIQ2108ogL2byUklO8Fz049ZwMwqGTrrg9vmqO+qcnpS3F2hL2wIMB51Uo7rtFIz7XKQYBm4lSuvylQtsIpkw306BlH1VFcLhKfR0GB0zpubsjIdFyYVHHXo5XKK7RU0xr2K+VRWKu2BFqZ1Q6HmrdzMbSXXKEOZ/IzZri+Ids/KjLj8hAOCyGc3wjR8rZuJpazWoDGn/VBmLeOWrs51pwhTZfuKqVgYTwSR1JgIG2yW0RbFqlm2knWJhBDdiuMWHsT6anngxFxfXKvFAFEESX1GpxBr2qwiocEkfYvtZ206o6YNTHPxUWWZLHpxRYHuY4yAaWpm3XMmpfXsfuMMtTcJYWD41i4PLGRySI/1ofO8LQau/JQxTN7ozUG2NAd5XD9tz+00bEOi1tYIXMaJZ8yx77kx45EDn+0Tln3C0DrrbLhWQe3djZDaFrj3fwjg4t8HuLScTkWRQWGa0YsyX07Kwlm1R4JozwNBNY4gPJ0nLFTzpluf4S5qaZKW5h96ju0HpheBnceRZdsye8Relm1nEXvgk4EYPh+IO1uaU2NqPTywtcd3MfbTLlnLiZ71oiRf5pTPibqjW65ci7T5Ed1q/WM8LHIjErLVzeiZFPkblpG/FHZLbSu4ms5ylaqm96hcB8BJ0WA9l6agPSzTt1LOdH90XlxVoqj1ixdLMyj/W9pAe+n/jhUwqjl2nyH2tJRxbGu5DXbq+utWoTbwYzfCD/NoTFnMQ3zI/KPYJf2vW0XMFypXolquqzA015PW4sY8+x5xY6JfNXEeMszWD3rs/xvzrFfToy8zjn4HMrFDYoff0TahG/W1kriMhaHHwigK/CDAheBlOo7FrELj6bLeNcNy0aDv4cKB86df5mXz50OAqx9PDs++Pz2Gj4eXwODy5MPxpV00B64jrU9w1o/bGmx8DMiU7TL0c3hLLeDf//wXsO179B2NUTeiai40VmC7O+KTwYe2dYWRtQ8bWuC3QfU2QL38y0+HP1pE/V0R9V4GUf/1ELUYMpeGa1Ug3A1DtoHhxfHZ1eH352cGRb4riuxlUOSv6JdrH5sbfJcGu6Hob6D48fhTD+LlyaddYfRfBsbgtWDkLpa8B+HNXW83FPk6imdwfnR13sEY7QoifxkQo9cDMXokR1IsU48031tjGmzmyOOLVXyHu2IavAym4Ss6JnnMMeNoNxTDDRTPDs96x4x3BTF8GRDjVwQxeBFfjDZQ/HB8ZFxR1SAAKNnXQH6Ai/PTv+Ht7QGNXgbQ7m32ayDK/LYD8nfMkfEahi1UOzhf/GVtevcNw1cjYb7zqmWlrlffD9nvOAKne455CjTCooANnU+/u3VJyPmTII6Gb8HNl03tv0u8+w9QSwcIFZoEWjEIAADLIQAAUEsBAhQAFAAIAAgAQmKSQ9HXYXk+BgAAdQYAABYAAAAAAAAAAAAAAAAAAAAAAGdlb2dlYnJhX3RodW1ibmFpbC5wbmdQSwECFAAUAAgACABCYpJDRczeXRoAAAAYAAAAFgAAAAAAAAAAAAAAAACCBgAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc1BLAQIUABQACAAIAEJikkMVmgRaMQgAAMshAAAMAAAAAAAAAAAAAAAAAOAGAABnZW9nZWJyYS54bWxQSwUGAAAAAAMAAwDCAAAASw8AAAAA" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<span> </span>
<span></span><div id="ggbContainerfbad5ae84c119793e6125f6c6fe3c642"></div><span></span>
*Process:
*Process:
# The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
# The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
# Sheets of paper, scale, compass, protractor, pencil.
# Sheets of paper, scale, compass, protractor, pencil.
*Prerequisites/Instructions, if any:
*Prerequisites/Instructions, if any:
# The students should know to draw different polygons and their names.
# Knowledge of different polygons and their names.
# They should have the requisite formulae needed to do the calculations.
# Requisite formulae needed to do the calculations.
# They should have the skills to perform and tabulate calculations accurately.
# Skills to perform and tabulate calculations accurately.
*Multimedia resources:
*Multimedia resources:
*Website interactives/ links/ / Geogebra Applets:
*Website interactives/ links/ / Geogebra Applets:
Please refer to this website for more clarity on this activity :http://www.mathsisfun.com/geometry/regular-polygons.html
Please refer to this website for more clarity on this activity : http://www.mathsisfun.com/geometry/regular-polygons.html
*Process:
*Process:
# Use the formulas listed in learning objectives above to make a table of Side, Apothem and Area, compared to a Radius of "1":
# Use the formulas listed in learning objectives above to make a table of Side, Apothem and Area, compared to a Radius of "1":
*Materials/ Resources needed: Chart papers, scissors, pencil, scale.
*Materials/ Resources needed: Chart papers, scissors, pencil, scale.
*Prerequisites/Instructions, if any
*Prerequisites/Instructions, if any
# The students should have understanding of basic shapes like square, rectangle, parallelogram, triangle and trapezium.
# An understanding of basic shapes like square, rectangle, parallelogram, triangle and trapezium.
# They should be able to draw mentioned shapes accurately and cut exactly on boundaries.
# Ability to draw mentioned shapes accurately and cut exactly on boundaries.
*Multimedia resources
*Multimedia resources
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
= Hints for difficult problems =
= Hints for difficult problems =
[[:File:polygon problem.odt]]
==Angle sum property==
CLASS IX TOPIC POLYGONS
ADDITIONAL PROBLEMS (problem no 3 )
A polygon has 'n' sides .Two of it's angles are right angles and each of remaining angle isFind the value of 'n'.
Step 1;(Students must understand the problem)
In a polygon of side 'n' two angles are and other angles are each. We must find out value of 'n'.
Step 2(Students know the formula for sum of angles of polygon of side 'n')
(2n-4)right angles.
Step 3(Sum of the angles is equal to what?)
There are 'n' angles in a polygon of side 'n'.Out of 'n' angles 2 angles are right anles and other (n-2) angles are each.
(2n-4) <math>90^0</math> = (n-2)<nowiki><math>\144^0+(2)(90^0)how to open the bracket and substitute the values)</nowiki>
2n x - 4 x =
= (Brings similar terms at one side of the equation)
= (Add and substract and simplify)
=
n = (Devide and simplify)
n = 7
= Project Ideas =
= Project Ideas =
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[[Category:Polygons]]