Area Builder_周長與面積

 下載 嵌入 關閉 嵌入模擬教學執行複本 利用 HTML 來嵌入模擬教學執行複本。您可以在 HTML 中改變已嵌入模擬教學的寬度及高度。 嵌入啓動模擬教學之圖樣

標題

• 面積
• Perimeter
• Fractional areas
• Scale factors

描述

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!

HTML5 版本之翻譯：

學習目標

• 用數方塊來計算面積
• 描述面積和周長之間的關係
• 使用給定的面積、周長來構建形狀
• 通過分解為較小的規則形狀（例如矩形，三角形，正方形）來找出不規則形狀的面積
• 決定相似形狀的比例因數
• 歸納出形狀縮放時周長與面積的關係

標準對齊

共用核心 - 數學

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.

教學提示

 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

老師提供的活動

Games Remote Lesson ideas Trish Loeblein 大學-簡介
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 大學-簡介

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

Preguntas de razonamiento para todas las simulaciones HTML5 Diana López 研究所

K-5

How do PhET simulations fit in my middle school program? Sarah Borenstein 國中 其它 物理

Middle School Math Sim Alignment Amanda McGarry 國中 其它 數學
Áreas y Perímetros Yarely Mariana Vela Soberanis K-5

Mali majstor za površine Anita Sečan 其他 指引 數學
Veliki majstor za površine Anita Sečan 其他 其它 數學
MS and HS TEK to Sim Alignment Elyse Zimmer 國中

Exploring Area and Perimeter Jill Minello K-5 指引 數學
Border Problem - Intro to Algebraic Expressions Jennifer Moeller 國中

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

Exploring Rectangles (area and perimeter) Conor Doyle K-5 作業

Building Area and Perimeter Jasmine Sidana K-5 指引 數學
Creating a Garden Alanna Toomey K-5 指引 數學
Area Builder Lesson Stefanie Akrish K-5 實驗室

Area Builder for grades 3-5 Molly Martin K-5 指引 數學
What's My Area? Rachael Ortega K-5 實驗室

Trabalhando áreas de figuras planas com auxilio do OA Construtor de Áreas Francisco Ellivelton Barbosa; Juscileide Braga de Castro K-5 指引

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 實驗室 數學
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves 國中 指引 數學
Área de Figuras Planas Maria Helena de Andrade 國中 作業

Norwegian Nynorsk 全部 Norwegian Nynorsk Arealbyggar
Serbian 全部 Српски "Мајстор" за површине
Sinhalese 全部 Sinhalese වර්ගඵලය ගොඩනඟමු
Tamil 全部 Tamil பரப்பளவு கட்டுபவர்
Telugu 全部 Telugu వైశాల్య నిర్మాణం

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:

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