# Proportion Playground_比例遊樂場   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

• Ratios
• Proportional Reasoning
• Unit Rate

### 描述

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.

### 學習目標

• 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

### 標準對齊

#### 共用核心 - 數學

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.

### 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

Patterns and Ratios  Ian Whitacre, Sebnem Tekin K-5

Bank Shots Daniel Greenberg 國中 指引 數學
Beaded Factors Heather Politi 國中
K-5

Paint Splat: Comparing Ratios Kathyrn Studer, Heather Politi 國中 指引 數學
Making Green Paint Michael Matassa 國中 討論

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

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

Mixing paint with ratios Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry 國中 討論 數學
Middle School Math Sim Alignment Amanda McGarry 國中 其它 數學
Unit Rate as Slope Cary Hoste 國中

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