数と割合
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- 比
- 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 1.0.6
Teacher Tips
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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
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著者 | レベル | タイプ | Subject |
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| Patterns and Ratios |
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Ian Whitacre, Sebnem Tekin | 中学 小学 |
Guided | 数学 |
| Beaded Factors |
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Heather Politi | 小学 中学 |
Guided | 数学 | |
| Paint Splat: Comparing Ratios |
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Kathyrn Studer, Heather Politi | 中学 | Guided | 数学 | |
| Making Green Paint |
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Michael Matassa | 中学 | Guided Discuss |
数学 | |
| Mixing paint with ratios |
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Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry | 中学 | Discuss | 数学 | |
| CCSS Math Alignment with Sims |
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Amanda McGarry | 高校 小学 中学 |
その他 | 数学 | |
| Unit Rate as Slope | Cary Hoste | 中学 高校 |
その他 Guided |
数学 |
| Windows 7+ | Mac OS 10.10+ | iPad and iPad Mini with iOS | Chromebook with Chrome OS |
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Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Chrome.
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Safari 9+, latest version of Firefox, latest version of Chrome.
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Latest version of Safari
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Latest version of Chrome
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