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Nets of pyramids

Source: licencja: CC 0.

Siatki ostrosłupów

Learning objectives

  • You will learn the notion of the net of the pyramid.

Learning effect

  • You identify pyramids on the basis of their nets.

  • You draw the nets of the pyramid.

  • You use English to describe the elements of the pyramid on the basis on its net.

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nagranie abstraktu

You learn about how to define the pyramidpyramidpyramid.

Today you are going to identify the pyramid on the basis of its netnetnet.

You can observe different kinds of pyramids around you, e.g. roofs of the houses, the pyramids, Christmas decorations, containers, candles.

Task 1
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nagranie abstraktu

Put on 3D glasses and look at the drawing below.

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Ilustracja interaktywna przedstawia dwie różne siatki tego samego ostrosłupa o podstawie kwadratu oraz ostrosłup o podstawie kwadratu. Na ilustracji widoczne są numery, a na nich podpisy. 1. The net of the pyramid with the base of a quadrangle {audio}, 2. The pyramid {audio}.
The net of the pyramid with a quadrangle base
Source: GroMar, licencja: CC BY 3.0.

The netnetnet of the pyramidpyramidpyramid with a quadrangle basebasebase.

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Source: GroMar, licencja: CC BY 3.0.

Answer the following questions:

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nagranie abstraktu
  • How many figures does the quadrangular pyramid netnetnet consist of? >What are these figures?

  • Is there only one way to draw the net of the pyramid?

Task 2
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nagranie abstraktu

Draw the net of the tetrahedrontetrahedrontetrahedron with the edge length of 2 cm. Then answer the question: How many equilateral trianglestriangletriangles does the net consist of?

Task 3
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nagranie abstraktu

Look at the drawings below and answer the questions:

  • What is the name of the pyramidpyramidpyramid you can see?

  • How many faces does the pyramid have?

  • How many basebasebase edges does the pyramid have?

  • How many vertices does the pyramid have?

a) The net of the pyramid with the base of a triangletriangletriangle.

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Source: GroMar, licencja: CC BY 3.0.

b) The net of the pyramid with the base of a quadrangle.

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Source: GroMar, licencja: CC BY 3.0.

c) The net of the pyramid with the base of a pentagon.

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Source: GroMar, licencja: CC BY 3.0.

d) The net of the pyramid with the base of a hexagon.

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Source: GroMar, licencja: CC BY 3.0.
Task 4

An extra task:

Draw the net of the regular hexagonal pyramid. 

Remember:

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nagranie abstraktu

The netnetnet of the pyramid consists of:

  • one polygonpolygonpolygon which is the base of the pyramid,

  • triangles which are the lateral faces of this pyramid.

The number of the triangles depends on the polygonpolygonpolygon base, for example the pyramid net with the base of a pentagon consists of the pentagon and five triangles.

Check what they you have learned by doing the following tasks. 

Homework:

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nagranie abstraktu

Design the net of the tetrahedrontetrahedrontetrahedron. Cut it out of paper and glue together to make the modelmodelmodel of the pyramid.

Exercises

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Exercise 1
Wersja alternatywna ćwiczenia: Determine which sentence is true. Możliwe odpowiedzi: 1. The net of the pyramid consists of one polygon which is the base of the pyramid, triangles which are the lateral faces of this pyramid., 2. The number of the triangles doesn’t depend on the polygon base of the pyramid.
Exercise 2

Draw the net of the quadrangular pyramid with the square base with the side of 5 cm on the cardboard. The lateral edges are 6 cm long.

Cut it out of paper and glue together to make the modelmodelmodel of the pyramid.

Remember to draw some folds which enable you to glue the solidsolidsolid.

Exercise 3

Draw two different nets of the pyramid, with all faces of equilateral triangles and the length of the sides of 3 cm.

In English describe the pyramids whose nets you have drawn and their elements.

Exercise 4
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Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. ostrosłup - pyramid, 2. czworościan - tetrahedron, 3. siatka - net, 4. model - model, 5. bryła - polygon, 6. ściana - base
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

pyramid
pyramid

ostrosłup

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wymowa w języku angielskim: pyramid
tetrahedron
tetrahedron

czworościan

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wymowa w języku angielskim: tetrahedron
net
net

siatka

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wymowa w języku angielskim: net
model
model

model

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wymowa w języku angielskim: model
solid
solid

bryła

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wymowa w języku angielskim: solid
polygon
polygon

wielokąt

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wymowa w języku angielskim: polygon
triangle
triangle

trójkąt

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wymowa w języku angielskim: triangle
base
base

podstawa

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wymowa w języku angielskim: base
face
face

ściana

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wymowa w języku angielskim: face
spatial figure
spatial figure

figura przestrzenna

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wymowa w języku angielskim: spatial figure

Keywords

pyramidpyramidpyramid

tetrahedrontetrahedrontetrahedron

netnetnet

modelmodelmodel

solidsolidsolid