数と割合

数と割合 スクリーンショット  ダウンロード  組み込む
  • 比例的推論
  • Unit Rate

コンテンツ

  • 比例的推論
  • Unit Rate

Description

Play with ratios and proportions by designing a necklace, throwing paint balloons, playing billiards, or shopping for apples! Make predictions about proportions before they are revealed.

学習目標例

  • Use a ratio as a descriptive characteristic
  • Compare the meaning of a ratio in different contexts
  • Use scaling to build proportions or find a missing value in a proportion
  • Simplify ratios to build proportions or find a missing value in a proportion
  • Use multiplicative reasoning to solve problems

Standards Alignment

Common Core - Math

5.NF.B.4a
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
7.RP.A.2a
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Version 1.0.14

Teacher Tips

インストラクター用ガイド(pdf)には、PhETチームが作成したヒント集が含まれています。 ( PDF ).

Video Primer

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Teacher-Submitted Activities

Patterns and Ratios A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. この貢献アクティビティは PhET によってデザインされました。 Ian Whitacre, Sebnem Tekin 小学
中学
Guided 数学
Bank Shots A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Daniel Greenberg 中学 Guided 数学
Beaded Factors A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Heather Politi 小学
中学
Guided 数学
Paint Splat: Comparing Ratios A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Kathyrn Studer, Heather Politi 中学 Guided 数学
Making Green Paint A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Michael Matassa 中学 Discuss
Guided
数学
Middle School Math Sim Alignment この貢献アクティビティは PhET によってデザインされました。 Amanda McGarry 中学 その他 数学
Mixing paint with ratios この貢献アクティビティは PhET によってデザインされました。 Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry 中学 Discuss 数学
Unit Rate as Slope Cary Hoste 中学
高校
その他
Guided
数学

言語 Download or Run Tips
アイルランド語 All Gaeilge Download Run now Ionad Súgartha na Comhréire
アラビア語 All العربية Download Run now ملعب النسب
イタリア語 All italiano Download Run now Area giochi Proporzioni
オランダ語 All Nederlands Download Run now Spelen met verhoudingen
カザフ語 All Kazakh Download Run now «Пропорция» ойыны
ギリシャ語 All Ελληνικά Download Run now Παιχνίδια με αναλογίες
クロアチア語 All hrvatski Download Run now Igralište proporcija
スウェーデン語 All svenska Download Run now Lek med proportioner!
スペイン語 All español Download Run now Pista de juego de proporciones
スペイン語(ペルー) All español (Perú) Download Run now Juegos de Proporciones
スペイン語(メキシコ) All español (México) Download Run now Juego de Proporciones 
セルビア語 All Српски Download Run now Игралиште пропорције
デンマーク語 All Dansk Download Run now Proportions-legeplads
ドイツ語 All Deutsch Download Run now Proportionen Spiel
バスク語 All Euskara Download Run now Proportzio-jolastokia
ハンガリー語 All magyar Download Run now Arányjáték
ヒンディー語 All हिंदी Download Run now समानुपात का मैदान 
ブラジルポルトガル語 All português (Brasil) Download Run now Parque da Proporção
フランス語 All français Download Run now Aire de jeu proportionnelle
ベトナム語 All Tiếng Việt Download Run now Sân chơi tỷ lệ
ボスニア語 All Bosanski Download Run now Igralište proporcije
ポーランド語 All polski Download Run now Zabawa w proporcje
モンゴル語 All Монгол (Монгол) Download Run now Хамаарлын Тоглоомын талбай
ラトビア語 All Latviešu Download Run now Darbības ar proporcijām
ロシア語 All русский Download Run now Игра «Пропорциональность»
英語 All English Download Run now Proportion Playground
中国語-簡体字 All 中文 (中国) Download Run now 比例游乐场
中国語-繁体字 All 中文 (台灣) Download Run now Proportion Playground_比例遊樂場
朝鮮語 All 한국어 Download Run now 비율 놀이터

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.

デザインチーム サードパーティのライブラリ 謝辞
  • Amanda McGarry (lead designer)
  • Andrea Lin (development)
  • Sam Reid (development)
  • Jonathan Olson (development)
  • Karina K.R. Hensberry
  • Ariel Paul
  • Beth Stade
  • Ian Whitacre
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