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  • GETSenPhaseMaths display tagshide tags

    This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

    Review Status: In Review

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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.

Figure 1
Figure 1 (graphics1.png)
Figure 2
Figure 2 (graphics2.png)

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?

Figure 3
Figure 3 (graphics3.png)

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)

Figure 4
Figure 4 (graphics4.png)

b)

Figure 5
Figure 5 (graphics5.png)

c)

Figure 6
Figure 6 (graphics6.png)

d)

Figure 7
Figure 7 (graphics7.png)

e)

Figure 8
Figure 8 (graphics8.png)

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

Figure 9
Figure 9 (graphics9.png)

B

Figure 10
Figure 10 (graphics10.png)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

21.2.9 BRAINTEASER!

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

a)

Figure 11
Figure 11 (graphics11.png)
Figure 12
Figure 12 (graphics12.png)

b)

Figure 13
Figure 13 (graphics13.png)
Figure 14
Figure 14 (graphics14.png)

22. Time for self-assessment

  • Colour in the face that is true of your understanding of the work covered::
Table 1
  • 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. graphics15.png graphics16.png graphics17.png
I can explain the following concepts:      
  • edge
graphics18.png graphics19.png graphics20.png
  • vertex
graphics21.png graphics22.png graphics23.png
  • face
graphics24.png graphics25.png graphics26.png
  • cube
graphics27.png graphics28.png graphics29.png
  • rectangular prism
graphics30.png graphics31.png graphics32.png
  • layout
graphics33.png graphics34.png graphics35.png
I can identify and name different 3 dimensional forms. graphics36.png graphics37.png graphics38.png
I can calculate the number of sides of a 3 dimensional figure. graphics39.png graphics40.png graphics41.png
I can calculate the number of vertices of a 3 dimensional figure. graphics42.png graphics43.png graphics44.png
I can calculate the number of sides of a 3 dimensional figure. graphics45.png graphics46.png graphics47.png
I can draw a cube from different angles. graphics48.png graphics49.png graphics50.png
I was able to complete the di layouts successfully. graphics51.png graphics52.png graphics53.png
I can draw more than 1 layout of a rectangular prism. graphics54.png graphics55.png graphics56.png

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.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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