The **Ratio Design Challenge** is an interactive tool that illustrates how ** ratios** and

**Ratio:**A ratio shows a comparison between two or more related quantities. Another way to explain it is to say that a ratio shows the relationship between one part and another part. (In contrast, a fraction shows the relationship between a part and the whole.) A ratio can be expressed using three different notations: 6 to 2, 6:2, and 6/2. When saying 6:2 or 6/2 out loud, it should be read as "6 to 2." Care must be used in using the third notation to avoid confusion with fractions.**Unit Rate:**A unit rate is a ratio comparing two measures in which one of the measures has a value of 1 (the word "unit" in "unit rate" refers to one unit).**Proportion:**A proportion is an equation stating that two ratios (or two fractions) are equivalent. For example, 2:4 = 4:8.**Scale:**A scale is a ratio of the size of a representation to the actual size of an object being represented. For example, in an architectural drawing with a scale of 1:100, a door 1" tall in the drawing would be 100 inches tall (9' 4") in the completed structure.**Simplify (Simplest Terms):**A ratio (or fraction) is simplified when the numbers representing the two parts have no common factors other than 1. For example, 4:8 can be simplified to 1:2 because 4 is a common factor of 4 and 8, but 1:2 cannot be further simplified since the only common factor is 1.**Revenue:**Revenue is the amount of money received by a company from its customers for the sale of goods or services.

**Talk It Out:**Check out the critical-thinking questions that appear at the end of each theme. Be sure to include both your mathematical calculations and their real-world implications in your responses. Share your thoughts with peers and get their input.**Take the Lead:**Come up with your own thought-provoking questions, including exploring what the real-world consequences might be of changing the existing ratios in the venues. Discuss with your classmates.**Find Hidden Ratios:**Examine the completed design in each theme. What other ratios can you find that werenâ€™t specifically mentioned in the questions you answered?**Extend Your Thinking:**What other venues can you think of where knowledge of ratio concepts would be necessary for a successful design?

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