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Grade 4

Space and shape, patterns, data handling

Module 13

Investigate and compare two-dimensional shapes


  • To investigate and compare two-dimensional shapes by making them and drawing them on a grid [LO 3.3]
  • To make two-dimensional shapes with a focus on tessellation [LO 3.5]


You may work in pairs or in small groups. Use an old cornflake box (or other box) to make strips of cardboard. They must be wide enough for you to be able to punch a hole at both ends. Punch a hole at each end of each strip. Keep all your strips in an old envelope and bring them to the lesson. Also bring a packet of split pins to the lesson.

MAKING 2-DIMENSIONAL SHAPES: revision of properties and to test rigidity.

1. Each group/pair of learners must complete the following and record their findings on the dotted lines provided.

1.1 Triangles.

a) Make a three-sided figure by joining the ends of three strips of equal length by using split pins. Place your triangle on a table or on the floor and hold the corners. Is it possible to change the shape of the figure by pulling the corners (gently)?

b) Make another 3-sided shape with two strips of equal length and one strip of a different length. Pin it with the split pins. Again, place it on the table, hold the corners and try to change the shape by pulling one or more corners. Can the shape be changed?

c) Now make a 3-sided shape with three strips of different lengths. Pin it and place it on the table. Gently try to change its shape by pulling the corners. Can the shape be changed?

d) Pin two short strips of different lengths and make a square corner with them. Use them and one more strip to make a 3-sided shape with one square corner. (If you need to cut the third side to do this, do so.) Once you have pinned it, can the shape be changed?

1.2 Your group should now have four triangles, all of different shapes, but all with three sides. Use them to decorate the walls of your classroom. Make a neat, large label: TRIANGLES.

  • How many sides does any triangle have?
  • Are the sides straight or curved?
  • Is a triangle rigid , or can its shape be changed by pulling the corners?
  • A shape that cannot be changed is said to be rigid. This is why triangles are used in the construction of the frame on which the roof of a house is built. A triangle is strong. Triangles may also be seen in the steel framework of bridges.

Any triangle has three straight sides and is rigid.

2. Quadrilaterals.

2.1 Use four strips of equal length to pin a 4-sided shape. Can it be moved to have square corners and be a square?

2.2 Can the corners be pulled so that they are not square corners, but the shape is still a 4-sided shape with all the sides equal in length?

2.3 Use two long strips and two short strips and see what different quadrilaterals you can make. See if each shape can be changed by gently pulling the corners. Your shapes should include the following shapes:

a) the _______________________

b) a parallelogram

c) the trapezium

d) the ____________________

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
Read about ancient clocks like_ hour glass, water clock and sun dial for a quiz and hand on Activity in the class
Neha Reply

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Source:  OpenStax, Mathematics grade 4. OpenStax CNX. Sep 18, 2009 Download for free at http://cnx.org/content/col11101/1.1
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