# 区域建造者

 下载 嵌入代码 关闭 嵌入模拟程序控制 你可以通过改变嵌入的代码改变程序的宽度和高度 插入一张图片，当点击这个图片时启动仿真程序。

• 面积
• 周长
• 分数区域
• 比例因子

### 示范 学习目标

• 通过数格子计算出图形面积
• 描述面积和周长的关系
• 用给定的面积或周长构建一个图形
• 将不规则图形分解成小的规则图形（比如：矩形、三角形、正方形……）来计算面积
• 确定相似性的比例系数
• 归纳当按比例缩放图形时，面积和周长如何变化

### 标准对齐

#### 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.

### 教师指南

 仿真程序控制概述,简化模型,学生视角的思考 ( PDF ).

### 教师提交的活动

Games Remote Lesson ideas Trish Loeblein 高中

K-5

Remote

Scaling Shapes Activity and Lesson Amanda McGarry 高中

SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López 高中

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López 高中

PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López 初中
K-5

Preguntas de razonamiento para todas las simulaciones HTML5 Diana López 高中

K-5

How do PhET simulations fit in my middle school program? Sarah Borenstein 初中 其它 生物学

Middle School Math Sim Alignment Amanda McGarry 初中 其它 数学
Mali majstor za površine Anita Sečan 其他 指导 数学
Veliki majstor za površine Anita Sečan 其他 其它 数学
Trabalhando áreas de figuras planas com auxilio do OA Construtor de Áreas Francisco Ellivelton Barbosa; Juscileide Braga de Castro K-5 实验室

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 实验室 数学
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves 初中 指导 数学
Área de Figuras Planas Maria Helena de Andrade 初中 指导

Simulaciones PhET para aprendizaje de matemáticas-área Monica Araceli Jasso Saavedra 高中 指导 数学
Áreas y Perímetros Yarely Mariana Vela Soberanis 初中
K-5

MS and HS TEK to Sim Alignment Elyse Zimmer 初中

Exploring Area and Perimeter Jill Minello K-5 指导 数学
Border Problem - Intro to Algebraic Expressions Jennifer Moeller 高中

Fencing Spaces: Fixed Perimeter, Changing Area Krystle Hapner K-5

Exploring Rectangles (area and perimeter) Conor Doyle K-5 家庭作业

Building Area and Perimeter Jasmine Sidana K-5 指导 数学
Creating a Garden Alanna Toomey K-5 指导 数学
Area Builder Lesson Stefanie Akrish K-5 家庭作业

Area Builder for grades 3-5 Molly Martin K-5 指导 数学
What's My Area? Rachael Ortega K-5 实验室

### HTML5 程序：

iOS 8+ Safari

Android:

Chromebook:

Windows 系统:

Macintosh 系统:
OS 10.9.5 或之后的系统版本，Safari 9+版本，或者火狐浏览器，谷歌浏览器的最新版本均支持我们的程序。

Linux 系统:

### Java and Flash 程序：

Java 与 Flash程序可以在PC端，mac端，及linux系统上运行。具体的系统配置要求如下：

Windows 系统:
Windows 10, 8.1, 7

Macintosh 系统:
Mac OS X 10.9.5+

64位浏览器（例如Safari，火狐，谷歌等）

Linux 系统:
Oracle Linux 5.5+1
Oracle Linux 6.x (32位), 6.x (64位)2
Oracle Linux 7.x (64位)2
Red Hat Enterprise Linux 5.5+1, 6.x (32位), 6.x (64位)2
Ubuntu Linux 12.04 LTS, 13.x
Suse Linux Enterprise Server 10 SP2+, 11.x

• John Blanco (developer)
• Bryce Gruneich
• Amanda McGarry
• Ariel Paul
• Kathy Perkins