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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!

Ukážkové ciele vzdelávania

  • 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.
Verzia 1.1.16

Typy pre učiteľov

Stiahnuť typy pre učiteľov v PDF Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( PDF ).

Video Primer

Prosím prihláste sa, pre sledovanie videa.

Teacher-Submitted Activities

Scaling Shapes Activity and Lesson A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry ZŠ-II
Guided Matematika
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López ZŠ-II
K-5
VŠ-pokr
VŠ-abs

VŠ-zač

Disk
Astronómia
Chémia
Fyzika
Matematika
Áreas y Perímetros A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Yarely Mariana Vela Soberanis ZŠ-II
K-5

Guided
Matematika
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein Iné Chémia
Veda o Zemi
Fyzika
Biológia
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein ZŠ-II Iné Biológia
Chémia
Veda o Zemi
Fyzika
CCSS Math Alignment with Sims This contribution was designed by PhET. Amanda McGarry K-5
ZŠ-II
Iné Matematika
Mali majstor za površine Anita Sečan Iné Guided Matematika
Veliki majstor za površine Anita Sečan Iné Iné Matematika
MS and HS TEK to Sim Alignment Elyse Zimmer ZŠ-II
Iné Chémia
Biológia
Fyzika
Border Problem - Intro to Algebraic Expressions Jennifer Moeller ZŠ-II
Disk
Guided
Matematika
Fencing Spaces: Fixed Perimeter, Changing Area Krystle Hapner ZŠ-II
K-5
Guided Matematika
Exploring Rectangles (area and perimeter) Conor Doyle K-5
Lab
Guided
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 Lab
Guided
Matematika
Area Builder for grades 3-5 Molly Martin K-5 Guided Matematika
What's My Area? Rachael Ortega K-5 Lab
Otaz
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves ZŠ-II Guided Matematika
Área de Figuras Planas Maria Helena de Andrade ZŠ-II Lab
Guided
Matematika

Jazyk Stiahnuť alebo spustiť Tips
Angličtina All English Download Run now Area Builder
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Španielčina All español Download Run now Constructor de Áreas Stiahnuť typy pre učiteľov v PDF
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The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ 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 and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

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

Autorský tím Iné knižnice Poďakovanie
  • Karina Hensberry (lead)
  • John Blanco (developer)
  • Bryce Gruneich
  • Amanda McGarry
  • Ariel Paul
  • Kathy Perkins
  • Beth Stade
  • almond-0.2.9.js
  • 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