SlideShare a Scribd company logo
Graphics for Learning in
Geometry
By Liam Downey
Graphics and copyright
Mnemonic Graphic
• A simple mnemonic graphic, but of exceptional use to students.
Instead of having to memorize six steps (parenthesis, exponents,
multiplication, division, addition, and subtractions) the students need
only memorize 2 syllables (pem, das). This graphic alone would be an
excellent scaffolding tool to use as a poster in the classroom to keep
students comfortable in the proper order of operations.
Graphics and copyright
Decorative Graphic
• This is a common themed graphic found in middle and high school
mathematics classes, yet as warned in the reading, these can be more
distracting than beneficial. As an educated professional, we know that
the square root of negative 1 is i, but to put that fact in a geometry
class at the high school level is likely just to add extra clutter, as the
students will not be working with i. Worse yet, it could confuse them
further, as they likely have learned that one cannot take the square
root of a negative number, and now they see it on a poster everyday
that they can.
Graphics and copyright
Interpretive Graphic
• For the construction unit of a geometry course, this graphic would
serve as a diagram of the parts of a perpendicular line, constructed
with only a compass and a straight edge. No order of steps is listed,
preventing this from crossing over into being a transformational
graphic.
Graphics and copyright
Relational Graphic
• This graphic is a review of algebraic properties that come into play
again in the proofs section of a geometry class. It is important for
students to remember the relation between 3+2 and 2+3, as the
communicative property of addition, and 2+3=5 as the substitution
property. Both of those are necessary properties for the execution of
basic proofs.
Graphics and copyright
Transformational Graphic
• This transformational graphic is a nice little animated example of the
relation between pi and circumference. From this graphic alone, a
student may be able to deduce the equation for circumference in
relation to radius.
Graphics and copyright
Organizational Graphic
• Without getting into the numbers behind the shapes, this graphic
shows why a circle is so much easier to work with than an ellipse,
hyperbola, etc. Just by looking at it, a student can tell that a circle lays
flat, while the other shapes have some degree of slope that must be
accounted for. It also provides a visual representation for which of the
shapes could trend towards infinity mathematically, and which are
bounded
Graphics and copyright
Representational Graphic
• The best use I can think of for this graphic is to project large scale,
while the students hold their calculators in their hands. The number
of keys on a modern calculator can be daunting, but with a
Representational Graphic, the teacher can point to a large scale
example visible to the whole class, to draw each students’ attention
to where a particular key is located.
Copyright and the Teacher
• The main rule for using material seems to be “never deny a profit.”
Any material a teacher wishes to use must be common domain or
purchased properly and used in such a small part that it does not
render the purchase of the actual material pointless. A good rule of
thumb is 10% of a music clip, picture catalogue, video, etc. can be
used. An exception is media that has the explicit use of instructional
purposes, but not entertainment or reward.

More Related Content

DOCX
Maths concept map
PPTX
Exponents and powers--Part1
PPTX
Addition subtraction pd
PPTX
MATHS: KS2 Geometry 23.04.15
DOCX
Innovative work rasiya
DOCX
Innovative work 1
PPTX
Mathematics at roxy
PPT
Guage student learning presentation
Maths concept map
Exponents and powers--Part1
Addition subtraction pd
MATHS: KS2 Geometry 23.04.15
Innovative work rasiya
Innovative work 1
Mathematics at roxy
Guage student learning presentation

What's hot (17)

PPT
Alt Algrthm Add Subt
PDF
Mathematic homework help
PDF
Fwm number line slides
DOCX
Assignment on methodology
PDF
4th_math_30min_1-10-15edits
PPTX
Pythagoras Theorum
PPTX
Real Life Applications of Mathematics
DOCX
Lesson plan in mathematics grade 10
PDF
CURRICULUM SHARING .pdf
PPTX
Multiply and Divide, Big and Small
PPTX
Unit 4 review irrational numbers
PPTX
Teaching touch math basics
PPT
M2910 v M2920
PDF
Multilink
PPTX
Curriculum links
PPT
ch12lectPP420
PDF
Year+8+extension+measurement+homework+task+blooms by kate johns
Alt Algrthm Add Subt
Mathematic homework help
Fwm number line slides
Assignment on methodology
4th_math_30min_1-10-15edits
Pythagoras Theorum
Real Life Applications of Mathematics
Lesson plan in mathematics grade 10
CURRICULUM SHARING .pdf
Multiply and Divide, Big and Small
Unit 4 review irrational numbers
Teaching touch math basics
M2910 v M2920
Multilink
Curriculum links
ch12lectPP420
Year+8+extension+measurement+homework+task+blooms by kate johns
Ad

Viewers also liked (19)

PPTX
Osos de peluches (1)
PPTX
Políticas educativas internacionales
DOCX
1 trabajo de sociología p.
PPTX
PDF
Acquisition of the KC-46 Pegasus
PPTX
TRABAJO PRACTICO: APRENDIZAJE UBICUO
PPTX
Diseño del Proyecto
PDF
LABARDO Profile (V3.4-2016)
PPTX
Políticas educativas internacionales
PPTX
Políticas educativas internacionales
PPTX
Prezentatsia patriotichne vikhovannya
DOCX
Proyecto emisora escolar
PPT
Science learning
PPTX
Análise guernica 001
PPTX
Introducción a la informática
PDF
SU2C Project
PPTX
Prezentatsiya grupi promintsi
Osos de peluches (1)
Políticas educativas internacionales
1 trabajo de sociología p.
Acquisition of the KC-46 Pegasus
TRABAJO PRACTICO: APRENDIZAJE UBICUO
Diseño del Proyecto
LABARDO Profile (V3.4-2016)
Políticas educativas internacionales
Políticas educativas internacionales
Prezentatsia patriotichne vikhovannya
Proyecto emisora escolar
Science learning
Análise guernica 001
Introducción a la informática
SU2C Project
Prezentatsiya grupi promintsi
Ad

Similar to Graphics and copyright (20)

PPT
Graphic organizers
PPTX
Grade 5 Math
PDF
Math menu hweo
PDF
Instrumentation in Teaching Mathematics
PPTX
Graphic inquiry
PPTX
Audio visual
PPTX
Graphing Performance Task
PDF
Newsletter Oct 2021
PDF
Jan 2013
PPTX
Concretisation and abstract ideas in Mathematics.pptx
PPT
Graphic Organizers PPT.ppt
PPT
Graphic Organizers Powerpoint Presentation
PDF
Multi modal think board details
PPTX
Graphic aids....present
PPTX
Dylan DeNuzzo- MAT tech PPT
PPT
Hands on Geometry for K-2 Learners
PPTX
educationalmedia-200415032837.pptxacon..
PPTX
USE OF DIAGRAMS IN TECHNICAL WRITING
PPTX
Educational media( a.v aids)
Graphic organizers
Grade 5 Math
Math menu hweo
Instrumentation in Teaching Mathematics
Graphic inquiry
Audio visual
Graphing Performance Task
Newsletter Oct 2021
Jan 2013
Concretisation and abstract ideas in Mathematics.pptx
Graphic Organizers PPT.ppt
Graphic Organizers Powerpoint Presentation
Multi modal think board details
Graphic aids....present
Dylan DeNuzzo- MAT tech PPT
Hands on Geometry for K-2 Learners
educationalmedia-200415032837.pptxacon..
USE OF DIAGRAMS IN TECHNICAL WRITING
Educational media( a.v aids)

Recently uploaded (20)

PDF
Saundersa Comprehensive Review for the NCLEX-RN Examination.pdf
PDF
Physiotherapy_for_Respiratory_and_Cardiac_Problems WEBBER.pdf
PDF
3rd Neelam Sanjeevareddy Memorial Lecture.pdf
PDF
VCE English Exam - Section C Student Revision Booklet
PDF
Microbial disease of the cardiovascular and lymphatic systems
PPTX
Pharma ospi slides which help in ospi learning
PDF
Anesthesia in Laparoscopic Surgery in India
PPTX
Introduction_to_Human_Anatomy_and_Physiology_for_B.Pharm.pptx
PDF
Basic Mud Logging Guide for educational purpose
PDF
2.FourierTransform-ShortQuestionswithAnswers.pdf
PPTX
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
PPTX
Cell Structure & Organelles in detailed.
PPTX
IMMUNITY IMMUNITY refers to protection against infection, and the immune syst...
PDF
Pre independence Education in Inndia.pdf
PPTX
human mycosis Human fungal infections are called human mycosis..pptx
PDF
O7-L3 Supply Chain Operations - ICLT Program
PPTX
Institutional Correction lecture only . . .
PPTX
Microbial diseases, their pathogenesis and prophylaxis
PDF
RMMM.pdf make it easy to upload and study
PDF
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape
Saundersa Comprehensive Review for the NCLEX-RN Examination.pdf
Physiotherapy_for_Respiratory_and_Cardiac_Problems WEBBER.pdf
3rd Neelam Sanjeevareddy Memorial Lecture.pdf
VCE English Exam - Section C Student Revision Booklet
Microbial disease of the cardiovascular and lymphatic systems
Pharma ospi slides which help in ospi learning
Anesthesia in Laparoscopic Surgery in India
Introduction_to_Human_Anatomy_and_Physiology_for_B.Pharm.pptx
Basic Mud Logging Guide for educational purpose
2.FourierTransform-ShortQuestionswithAnswers.pdf
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
Cell Structure & Organelles in detailed.
IMMUNITY IMMUNITY refers to protection against infection, and the immune syst...
Pre independence Education in Inndia.pdf
human mycosis Human fungal infections are called human mycosis..pptx
O7-L3 Supply Chain Operations - ICLT Program
Institutional Correction lecture only . . .
Microbial diseases, their pathogenesis and prophylaxis
RMMM.pdf make it easy to upload and study
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape

Graphics and copyright

  • 1. Graphics for Learning in Geometry By Liam Downey
  • 3. Mnemonic Graphic • A simple mnemonic graphic, but of exceptional use to students. Instead of having to memorize six steps (parenthesis, exponents, multiplication, division, addition, and subtractions) the students need only memorize 2 syllables (pem, das). This graphic alone would be an excellent scaffolding tool to use as a poster in the classroom to keep students comfortable in the proper order of operations.
  • 5. Decorative Graphic • This is a common themed graphic found in middle and high school mathematics classes, yet as warned in the reading, these can be more distracting than beneficial. As an educated professional, we know that the square root of negative 1 is i, but to put that fact in a geometry class at the high school level is likely just to add extra clutter, as the students will not be working with i. Worse yet, it could confuse them further, as they likely have learned that one cannot take the square root of a negative number, and now they see it on a poster everyday that they can.
  • 7. Interpretive Graphic • For the construction unit of a geometry course, this graphic would serve as a diagram of the parts of a perpendicular line, constructed with only a compass and a straight edge. No order of steps is listed, preventing this from crossing over into being a transformational graphic.
  • 9. Relational Graphic • This graphic is a review of algebraic properties that come into play again in the proofs section of a geometry class. It is important for students to remember the relation between 3+2 and 2+3, as the communicative property of addition, and 2+3=5 as the substitution property. Both of those are necessary properties for the execution of basic proofs.
  • 11. Transformational Graphic • This transformational graphic is a nice little animated example of the relation between pi and circumference. From this graphic alone, a student may be able to deduce the equation for circumference in relation to radius.
  • 13. Organizational Graphic • Without getting into the numbers behind the shapes, this graphic shows why a circle is so much easier to work with than an ellipse, hyperbola, etc. Just by looking at it, a student can tell that a circle lays flat, while the other shapes have some degree of slope that must be accounted for. It also provides a visual representation for which of the shapes could trend towards infinity mathematically, and which are bounded
  • 15. Representational Graphic • The best use I can think of for this graphic is to project large scale, while the students hold their calculators in their hands. The number of keys on a modern calculator can be daunting, but with a Representational Graphic, the teacher can point to a large scale example visible to the whole class, to draw each students’ attention to where a particular key is located.
  • 16. Copyright and the Teacher • The main rule for using material seems to be “never deny a profit.” Any material a teacher wishes to use must be common domain or purchased properly and used in such a small part that it does not render the purchase of the actual material pointless. A good rule of thumb is 10% of a music clip, picture catalogue, video, etc. can be used. An exception is media that has the explicit use of instructional purposes, but not entertainment or reward.