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Mathematics

Perimeter, area and volume

Educator section

Memorandum

21.1.2

21.2.3

  • 6; 8; 12
  • 7

21.2.6

21.2.7

a) right-angled or rectangular prism

b) cuboid

a)

b)

Leaner section

Content

Activity: nets [lo 3.4, lo 3.7]

21.2 NETS:

21.2.1 For this activity please bring a cardboard box of any size to school. Cut it open (be careful!) so that you can unfold it flat on your table or desk. Now count how many edges, vertexes and faces it has.

21.2.2 Did you know?

When we cut a cube or any other form open and lay it flat (see sketch) we call the spread-out cube/figure the net of the cube/figure. The dotted lines indicate the folds.

21.2.3 Look carefully at the following net of a cube. Can you draw one or two more nets that will differ from this one?

21.2.4 Now trace the net of the cube above neatly and accurately. Now fold your own cube. Use sticky tape to join the edges together

Complete: A cube has._________ faces, _________ vertexes and _________ edges.

21.2.5 Now modify your cube into a di. Compare this with an actual di if you don’t know where to make the dots!

What is the total number of dots on the opposite faces of a di? __________________

21.2.6 Can you complete the following nets? Loosen the edges of your dice and fold it flat to help you.

a)

b)

c)

d)

e)

21.2.7 Bring any empty cereal box from home to school. Cut it open along the edges and lay it flat. Now answer these questions:

a) What do we call this box you have brought along?

_____________________________________________________________________

b) Can you give a synonym for your answer at (a) ?

_____________________________________________________________________

c) Now draw the net of the cereal box that you have cut open.

d) Can you also draw the net of a rectangular prism in another way?

21.2.8 CLASS DISCUSSION

Which of the following nets, do you think, a manufacturer would rather use? Motivate!

A

B

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

21.2.9 BRAINTEASER!

Two parts of the nets of the following figures are missing. Can you draw them in?

a)

b)

22. Time for self-assessment

  • Colour in the face that is true of your understanding of the work covered::
  • Colour in the face that is true of your understanding of the work covered::
I can explain the difference between 2 and 3 dimensional objects.
I can explain the following concepts:
  • edge
  • vertex
  • face
  • cube
  • rectangular prism
  • layout
I can identify and name different 3 dimensional forms.
I can calculate the number of sides of a 3 dimensional figure.
I can calculate the number of vertices of a 3 dimensional figure.
I can calculate the number of sides of a 3 dimensional figure.
I can draw a cube from different angles.
I was able to complete the di layouts successfully.
I can draw more than 1 layout of a rectangular prism.

Assessment

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.4: We know this when the learner designs and uses nets to make models of geometric solids studied up to and including this grade;

Assessment Standard 3.7: We know this when the learner draws and interprets sketches of solids from different perspectives.

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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