# Obsah a obvod

 Stáhnout Sdílet zavřít Použít vloženou (embedded) kopii této simulace Použijte tento HTML kód k vytvoření vložené kopie této simulace. Můžete změnit výšku a šířku vložené kopie změnou atributů "width" a "height" v HTML kódu. Vnořit obrázek, který při kliknutí spustí simulaci
Klikni pro spuštění
Použijte tento HTML kód k zobrazení náhledu simulace se slovy "Klikni pro spuštění". Plocha Perimeter Fractional areas PhET je podporován: a učiteli jako vy.

### Obsah

• Plocha
• Perimeter
• Fractional areas
• Scale factors

### Description

Create your own shapes using colorful blocks and explore the relationship between perimeter and area. Compare the area and perimeter of two shapes side-by-side. Challenge yourself in the game screen to build shapes or find the area of funky figures. Try to collect lots of stars!

• Find the area of a shape by counting unit squares
• Describe the relationship between area and perimeter
• Build shapes with a given area and/or perimeter
• Find the area of an irregular shape by decomposing into smaller, regular shapes (e.g., rectangles, triangles, squares)
• Determine the scale factor of similar shapes
• Generalize how area and perimeter change when scaling shapes

### Standards Alignment

#### Common Core - Math

3.MD.C.5
Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.5a
A square with side length 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
3.MD.C.5b
A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
3.MD.C.6
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.C.7
Relate area to the operations of multiplication and addition.
3.MD.C.7a
Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
3.MD.C.7b
Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
3.MD.C.7c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.C.7d
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
3.MD.D.8
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
6.G.A.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Version 1.1.21

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein ZŠ II.st.
K-5

UG-začínající
Remote
Matematika
Fyzika
Chemie
Scaling Shapes Activity and Lesson Amanda McGarry ZŠ II.st.
Guided Matematika
Escalando Formas Actividad y Lección Amanda McGarry (Traducción Mayra Tavares) ZŠ II.st.
Guided Matematika
How do PhET simulations fit in my middle school program? Sarah Borenstein ZŠ II.st. Ostatní Fyzika
Biologie
Věda o Zemi
Chemie
Middle School Math Sim Alignment Amanda McGarry ZŠ II.st. Ostatní Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López
ZŠ II.st.
Ostatní Matematika
Biologie
Fyzika
Chemie
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-začínající
Ostatní Chemie
Matematika
Fyzika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López ZŠ II.st.
K-5
Discuss
Lab
Guided
Demo
Matematika
Fyzika
Astronomie
Chemie
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López UG-Pokr
UG-začínající
Abs
ZŠ II.st.

K-5
Discuss
Chemie
Astronomie
Fyzika
Matematika
Mali majstor za površine Anita Sečan Ostatní Guided Matematika
Veliki majstor za površine Anita Sečan Ostatní Ostatní Matematika
MS and HS TEK to Sim Alignment Elyse Zimmer
ZŠ II.st.
Ostatní Fyzika
Chemie
Biologie
Exploring Area and Perimeter Jill Minello K-5 Guided Matematika
Border Problem - Intro to Algebraic Expressions Jennifer Moeller
ZŠ II.st.
Discuss
Guided
Matematika
Fencing Spaces: Fixed Perimeter, Changing Area Krystle Hapner K-5
ZŠ II.st.
Guided Matematika
Exploring Rectangles (area and perimeter) Conor Doyle K-5 Guided

Lab
Matematika
Building Area and Perimeter Jasmine Sidana K-5 Guided Matematika
Creating a Garden Alanna Toomey K-5 Guided Matematika
Area Builder Lesson Stefanie Akrish K-5 Guided
Lab
Matematika
Area Builder for grades 3-5 Molly Martin K-5 Guided Matematika
What's My Area? Rachael Ortega K-5 KOt
Lab
Trabalhando áreas de figuras planas com auxilio do OA Construtor de Áreas Francisco Ellivelton Barbosa; Juscileide Braga de Castro K-5 Lab
Guided
Matematika
Área de figuras planas por meio do OA - Construtor de Áreas Arianny de Sousa Lira, Márcio Matoso de Pontes e Juscileide Braga de Castro K-5 Lab Matematika
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves ZŠ II.st. Guided Matematika
Área de Figuras Planas Maria Helena de Andrade ZŠ II.st. Lab
Guided
Matematika
Áreas y Perímetros Yarely Mariana Vela Soberanis ZŠ II.st.
K-5

Guided
Matematika
Albanian All shqip Ndërtuesi i syprinës
Arabic All العربية بناء المساحة
Armenian All Armenian Մակերեսի հաշվումը
Basque All Euskara Azalera eraikitzailea
Bosnian All Bosanski "Majstor" za površine
Catalan All català Constructor d'àrees
Danish All Dansk Arealbygger
Dutch All Nederlands Een oppervlakte bouwen
English All English Area Builder
Faroese All Faroese Víddir
Finnish All suomi Pinta-alan rakentaja
French All français Constructeur d'Aire
Georgian All ქართული ფართობის მშენებელი
German All Deutsch Flächen belegen
Greek All Ελληνικά Περίμετρος & Εμβαδόν
Gujarati All Gujarati ક્ષેત્રફળ બનાવો
Haitian All Haitian Konstriktè Sifas
Hebrew All עברית בונה שטחים
Hindi All हिंदी क्षेत्रफल निर्माण
Hungarian All magyar Területépítő
Chinese (China) All 中文 (中国) 区域建造者
Chinese (Taiwan) All 中文 (台灣) Area Builder_周長與面積
Irish All Gaeilge Tógálaí Achair
Italian All italiano Disegna un'area
Japanese All 日本語 図形の面積
Kazakh All Kazakh Фигуралардың конструкторы
Korean All 한국어 면적 생성기
Lao All Lao ສ້າງພື້ນທີ່
Latvian All Latviešu Figūru laukumi
Malay All Bahasa Melayu Binaan Ruang
Malayalam All Malayalam പരപ്പളവ് നിര്‍മാണം
Maori All Maori Hangaia he Horahanga
Marathi All मराठी क्षेत्रफ़ळ शोधा
Mongolian All Монгол (Монгол) Талбай байгуулагч
Norwegian Nynorsk All Norwegian Nynorsk Arealbyggar
Persian All فارسی سازندۀ مساحت
Polish All polski Budowniczy powierzchni
Portuguese All português Construtor de Áreas
Portuguese (Brazil) All português (Brasil) Construtor de Área
Romanian All română Construiește Aria
Russian All русский Конструктор фигур
Serbian All Српски "Мајстор" за површине
Sinhalese All Sinhalese වර්ගඵලය ගොඩනඟමු
Slovak All Slovenčina Staviteľ plochy
Slovenian All Slovenščina Ploščina in obseg
Spanish All español Constructor de Áreas
Spanish (Mexico) All español (México) Constructor de Áreas
Spanish (Peru) All español (Perú) Constructor de Áreas
Spanish (Spain) All español (España) Constructor de áreas
Swedish All svenska Bygg area
Tamil All Tamil பரப்பளவு கட்டுபவர்
Telugu All Telugu వైశాల్య నిర్మాణం
Turkish All Türkçe Alan Oluşturucu
Ukrainian All українська Будівник площі
Urdu All Urdu رقبہ ساز
Uzbek All Uzbek Yuza yasovchi
Vietnamese All Tiếng Việt Diện tích

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems on modern web browsers. If you are experiencing issues using an HTML5 sim on a supported platform, please disable any browser extensions.

iOS 12+ Safari

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

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