"ICT student textbook/Exploring symmetry with Geogebra" ಆವೃತ್ತಿಗಳ ಮಧ್ಯದ ಬದಲಾವಣೆಗಳು

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#REDIRECT [[ಐಸಿಟಿ ವಿದ್ಯಾರ್ಥಿ ಪಠ್ಯ/ಸಮಮಿತಿಯನ್ನು ಕಲಿಯುವುದು]]
 
 
<div class="noprint" style="float:right; border:1px solid blue;width:300px;background-color:#F5F5F5;padding:2px;">
 
{| cellspacing="0"
 
| [[File:Book.jpg|none|80px|Book image]]
 
| style="padding-left:2px;" | Go to <br /> [[ICT_teacher_handbook/Learning_maths_with_Geogebra|ICT Teacher Handbook]]
 
|}</div>
 
 
 
<u>{{font color|brown|'''<big>Exploring symmetry with Geogebra</big>'''}}</u><br>
 
{{font color|brown|In this activity, you will explore lines of symmetry, reflection and rotation of objects.}}
 
 
 
===Objectives===
 
#Understanding rotation and reflection of geometric constructions
 
#Reflecting objects and drawing lines of symmetry
 
#Identifying lines of symmetry in given shapes visually
 
#Recognizing symmetric and non-symmetric objects
 
 
 
===What prior skills are assumed===
 
# Familiarity with the Geogebra application and tool bar
 
# Able to create different Geogebra sketches using the various functionalities - line, line segment, measurement of angles, measurement of segments, drawing polygons
 
 
 
===What resources do you need===
 
#Computer lab with projection equipment
 
#Handout for [[Learn Ubuntu|Ubuntu]]
 
#Handout for [[Learn LibreOffice Writer|LibreOffice Writer]]
 
#Handout for [[Learn Geogebra|Geogebra]]
 
#Geogebra files
 
#Handout for [[Learn Screenshot|screenshot]]
 
===What digital skills will you learn===
 
# Creating Geogebra files to explore mathematical concepts
 
# Inserting screenshots of Geogebra sketches in a text document and summarizing the mathematics investigation
 
 
 
===Description of activity with detailed steps===
 
====Teacher led activity====
 
Part 1- Locating and drawing lines of symmetry
 
 
 
Look at the following pictures with your teacher.  Identify how many lines of symmetry are there. 
 
 
 
<gallery mode="packed" heights="250px" caption="Figures with symmetry" style="text-align:left">
 
File:Order-3 heptakis heptagonal tiling.png
 
File:Hirschhorn 6-fold-rotational symmetry pentagonal tiling.png
 
File:Exotic pentagonal tiling.png
 
File:Symmetry measure of Reuleaux triangle.svg
 
File:Polyiamond 6-fold rotational symmetry.svg
 
File:Pentagonal tiling with 7-fold rotational symmetry.png
 
File:Diatomeas-Haeckel.jpg
 
</gallery>
 
 
 
 
 
 
 
Your teacher will demonstrate the following:
 
# [[Learn Geogebra|How to insert an image in Geogebra]]
 
# How to draw lines of symmetry to visually inspect symmetry? 
 
 
 
Part 2 - Exploring ideas with symmetry with rotating and reflecting objects, in 2D and 3D
 
 
 
Your teacher will demonstrate the following to you in a Geogebra file:
 
# Drawing a line and rotating it
 
# Drawing a line segment and rotating it
 
# Creating reflections of objects
 
# Rotating polygons and creating new figures
 
See [[Learn Geogebra|Geogebra handout]] for how to rotate objects.  Your teacher may also introduce 3D visualization using Geogebra.
 
 
 
====Student activities====
 
Part 1 - Locating and drawing lines of symmetry
 
#You can insert the images discussed with your teacher and draw the lines of symmetry
 
#In the previous activity on [[ICT student textbook/Drawing with Geogebra|Drawing with Geogebra]], you had made several geometric sketches.  Open those sketches and examine the axes of symmetry in those figures.
 
Part 2 - Exploring symmetry with reflection and rotation
 
# Draw polygon shapes and rotate and reflect the polygon along a line or along a point.  Explore what shapes you can produce.
 
# Use the regular polygon tool and rotate around a point to see what shapes are produced.
 
 
 
=== Portfolio ===
 
# Your Geogebra sketches will be part of the portfolio.
 

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