1,774
edits
Changes
Jump to navigation
Jump to search
ICT student textbook/Exploring symmetry with Geogebra (view source)
Revision as of 13:45, 25 March 2017
, 13:45, 25 March 2017→Description of activity with detailed steps
{{Navigate|Prev=Getting introduced to triangle properties|Curr=Exploring symmetry with Geogebra|Next=Educational applications for learning your subjects level 2 learning check list}}
<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
The following Geogebra files will be used for this class.
====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.
<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
The following Geogebra files will be used for this class.
====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.