# Pinta-alan rakentaja

 Lataa Upota sulje Upota tämän simulaatio toiselle verkkosivulle Käytä tätä HTML-koodia upottaaksesi simulaation haluamallesi verkkosivulle. Voit muuttaa simulaation leveyttä ja korkeutta muuttamalla koodin "width" ja "height" attribuutteja. Upota kuva, joka käynnistää simulaation sitä klikatessa.
Käynnistä klikkaamalla
Käytä tätä HTML-koodia näyttääksesi kuvakaappauksen, jossa lukee "Käynnistä klikkaamalla". Ala Perimeter Fractional areas PhET-projektia tukevat ja opettajat kuten sinä.

### Sisältö

• Ala
• 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!

### Esimerkkejä oppimistavoitteista

• 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 1.1.20

### Teacher Tips

 Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

### Video Primer

Please sign in to watch the video primer

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein L
K-5
YK
UG-Intro
Remote
Kotiteht
Kemia
Matematiikka
Fysiikka
Scaling Shapes Activity and Lesson Amanda McGarry L
YK
Guided Matematiikka
Escalando Formas Actividad y Lección Amanda McGarry (Traducción Mayra Tavares) YK
L
Guided Matematiikka
How do PhET simulations fit in my middle school program? Sarah Borenstein YK Muu Biologia
Fysiikka
Maantiede
Kemia
Middle School Math Sim Alignment Amanda McGarry YK Muu Matematiikka
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López L
YK
Muu Biologia
Matematiikka
Fysiikka
Kemia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López L
UG-Intro
Muu Kemia
Fysiikka
Matematiikka
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López YK
K-5
Discuss
Kotiteht
Guided
Labra
Demo
Astronomia
Fysiikka
Matematiikka
Kemia
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López UG-Adv
UG-Intro
YK
Grad
K-5
L
Kotiteht
Discuss
Kemia
Matematiikka
Astronomia
Fysiikka
Mali majstor za površine Anita Sečan Muu Guided Matematiikka
Veliki majstor za površine Anita Sečan Muu Muu Matematiikka
MS and HS TEK to Sim Alignment Elyse Zimmer YK
L
Muu Kemia
Biologia
Fysiikka
Exploring Area and Perimeter Jill Minello K-5 Guided Matematiikka
Border Problem - Intro to Algebraic Expressions Jennifer Moeller YK
L
Discuss
Guided
Matematiikka
Fencing Spaces: Fixed Perimeter, Changing Area Krystle Hapner YK
K-5
Guided Matematiikka
Exploring Rectangles (area and perimeter) Conor Doyle K-5 Kotiteht
Labra
Guided
Matematiikka
Building Area and Perimeter Jasmine Sidana K-5 Guided Matematiikka
Creating a Garden Alanna Toomey K-5 Guided Matematiikka
Area Builder Lesson Stefanie Akrish K-5 Guided
Kotiteht
Labra
Matematiikka
Area Builder for grades 3-5 Molly Martin K-5 Guided Matematiikka
What's My Area? Rachael Ortega K-5 Labra
Kysymykset
Áreas y Perímetros Yarely Mariana Vela Soberanis YK
K-5
Guided
Kotiteht
Matematiikka
Trabalhando áreas de figuras planas com auxilio do OA Construtor de Áreas Francisco Ellivelton Barbosa; Juscileide Braga de Castro K-5 Guided
Labra
Matematiikka
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 Labra Matematiikka
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves YK Guided Matematiikka
Área de Figuras Planas Maria Helena de Andrade YK Guided
Labra
Kotiteht
Matematiikka
Kieli Download or Run Tips
Albania All shqip Ndërtuesi i syprinës
Arabia All العربية بناء المساحة
Armenia All Armenian Մակերեսի հաշվումը
Baski All Euskara Azalera eraikitzailea
Bosnia All Bosanski "Majstor" za površine
Brasilian portugali All português (Brasil) Construtor de Área
Englanti All English Area Builder
Espanja All español Constructor de Áreas
Espanja (Espanja) All español (España) Constructor de áreas
Espanja (Meksiko) All español (México) Constructor de Áreas
Espanja (Peru) All español (Perú) Constructor de Áreas
Fääri All Faroese Víddir
Gruusia All ქართული ფართობის მშენებელი
Gudžarati All Gujarati ક્ષેત્રફળ બનાવો
Haiti All Haitian Konstriktè Sifas
Heprea All עברית בונה שטחים
Hindi All हिंदी क्षेत्रफल निर्माण
Hollanti All Nederlands Een oppervlakte bouwen
Irlanti All Gaeilge Tógálaí Achair
Italia All italiano Disegna un'area
Japani All 日本語 図形の面積
Kannada All Kannada ಪ್ರದೇಶ ನಿರ್ಮಾಣ
Katalaani All català Constructor d'àrees
Kazakki All Kazakh Фигуралардың конструкторы
Kiina - perinteinen All 中文 (台灣) Area Builder_周長與面積
Kiina - yksinkertaistettu All 中文 (中国) 区域建造者
Korea All 한국어 면적 생성기
Kreikka All Ελληνικά Περίμετρος & Εμβαδόν
Kroatia All hrvatski Graditelj površine
Lao All Lao ສ້າງພື້ນທີ່
Latvia All Latviešu Figūru laukumi
Malaiji All Bahasa Melayu Binaan Ruang
Malajalam All Malayalam പരപ്പളവ് നിര്‍മാണം
Maori All Maori Hangaia he Horahanga
Marathi All मराठी क्षेत्रफ़ळ शोधा
Mongoli All Монгол (Монгол) Талбай байгуулагч
Persia All فارسی سازندۀ مساحت
Portugali All português Construtor de Áreas
Puola All polski Budowniczy powierzchni
Ranska All français Constructeur d'Aire
Ruotsi All svenska Bygg area
Saksa All Deutsch Flächen belegen
Serbia All Српски "Мајстор" за површине
Sinhali All Sinhalese වර්ගඵලය ගොඩනඟමු
Slovakki All Slovenčina Staviteľ plochy
Sloveeni All Slovenščina Ploščina in obseg
Tamili All Tamil பரப்பளவு கட்டுபவர்
Tanska All Dansk Arealbygger
Telugu All Telugu వైశాల్య నిర్మాణం
Tsekki All čeština Obsah a obvod
Turkki All Türkçe Alan Oluşturucu
Ukraina All українська Будівник площі
Unkari All magyar Területépítő
Urdu All Urdu رقبہ ساز
Uusnorja All Norwegian Nynorsk Arealbyggar
Uzbekki All Uzbek Yuza yasovchi
Venäjä All русский Конструктор фигур
Vietnam 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.

iPad:
iOS 12+ Safari
iPad compatible sims

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

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
• Karina Hensberry (lead)
• John Blanco (developer)
• Bryce Gruneich
• Amanda McGarry
• Ariel Paul
• Kathy Perkins
• Beth Stade
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• easing-equations-r12
• FileSaver-b8054a2.js
• fontawesome-webfont-3.0.2.svg
• game-up-camera-1.0.0.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-2.4.1.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• Tween-r12.js