# Proportion Playground

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Klikni pro spuštění
Použijte tento HTML kód k zobrazení náhledu simulace se slovy "Klikni pro spuštění". Ratios Proportional Reasoning Unit Rate PhET je podporován: a učiteli jako vy.

### Obsah

• Ratios
• Proportional Reasoning
• 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.

• 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 1.0.15

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

Patterns and Ratios Ian Whitacre, Sebnem Tekin ZŠ II.st.
K-5
Guided Matematika
Bank Shots Daniel Greenberg ZŠ II.st. Guided Matematika
ZŠ II.st.
Guided Matematika
Paint Splat: Comparing Ratios Kathyrn Studer, Heather Politi ZŠ II.st. Guided Matematika
Making Green Paint Michael Matassa ZŠ II.st. Guided
Discuss
Matematika
Tiros de banco Daniel Greenberg (Traducción de Mayra Tavares) ZŠ II.st. Guided Matematika
Mixing paint with ratios Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry ZŠ II.st. Discuss Matematika
Middle School Math Sim Alignment Amanda McGarry ZŠ II.st. Ostatní Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López
ZŠ II.st.
Ostatní Fyzika
Biologie
Matematika
Chemie
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López ZŠ II.st.
K-5
Lab
Discuss
Guided

Demo
Chemie
Matematika
Fyzika
Astronomie
Unit Rate as Slope Cary Hoste ZŠ II.st.
Ostatní
Guided
Matematika
Albanian All shqip Këndi i eksperimentimit për Raportet
Arabic All العربية ملعب النسب
Basque All Euskara Proportzio-jolastokia
Bosnian All Bosanski Igralište proporcije
Croatian All hrvatski Igralište proporcija
Dutch All Nederlands Spelen met verhoudingen
French All français Aire de jeu proportionnelle
German All Deutsch Proportionen Spiel
Greek All Ελληνικά Παιχνίδια με αναλογίες
Gujarati All Gujarati પ્રમાણ રમતો -Pankajsid34
Hindi All हिंदी समानुपात का मैदान
Hungarian All magyar Arányjáték
Chinese (China) All 中文 (中国) 比例游乐场
Chinese (Taiwan) All 中文 (台灣) Proportion Playground_比例遊樂場
Irish All Gaeilge Ionad Súgartha na Comhréire
Italian All italiano Area giochi Proporzioni
Japanese All 日本語 数と割合
Kazakh All Kazakh «Пропорция» ойыны
Korean All 한국어 비율 놀이터
Latvian All Latviešu Darbības ar proporcijām
Mongolian All Монгол (Монгол) Хамаарлын Тоглоомын талбай
Persian All فارسی زمین بازی نسبت
Polish All polski Zabawa w proporcje
Portuguese (Brazil) All português (Brasil) Parque da Proporção
Russian All русский Игра «Пропорциональность»
Serbian All Српски Игралиште пропорције
Spanish All español Pista de juego de proporciones
Spanish (Mexico) All español (México) Juego de Proporciones
Spanish (Peru) All español (Perú) Juegos de Proporciones
Swedish All svenska Lek med proportioner!
Thai All ไทย เล่นกับสัดส่วน
Ukrainian All українська Гра в пропорції
Vietnamese All Tiếng Việt Sân chơi tỷ lệ

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