Lesson 10: Comparing Situations by Examining Ratios | Unit 2: Introducing Ratios

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Open Ended

A slug travels 3 inches in 3 minutes. A snail travels 6 inches in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain or show your reasoning.

Open Ended

To make air freshener, Lin mixes 2 drops of lemon oil with 1 ounce of water. Priya mixes 3 drops of lemon oil with 2 ounces of water. Explain why Lin’s mixture has a stronger lemon scent.

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There are 2 mixtures of light purple paint. Mixture A is made with 5 cups of purple paint and 2 cups of white paint. Mixture B is made with 15 cups of purple paint and 8 cups of white paint. Which mixture is a lighter shade of purple? Explain your reasoning.

Open Ended

Tulip bulbs are on sale at Store A at 5 for $$11.00, and the regular price at store B is 6 for$$ 13. Is each store pricing tulip bulbs at the same rate? Explain how you know.

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While playing basketball, Jada’s heart rate goes up to 160 beats per minute. While jogging, her heart beats 25 times in 10 seconds. Assuming her heart beats at a constant rate while jogging, which of these activities resulted in a higher heart rate? Explain your reasoning.

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A car that travels 20 miles in $$\frac12$$ hour at constant speed is traveling at the same speed as a car that travels 30 miles in $$\frac34$$ hour at a constant speed. Explain or show why.

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A train that travels 30 miles in $$\frac{1}{3}$$ hour at a constant speed is going faster than a train that travels 20 miles in $$\frac{1}{2}$$ hour at a constant speed. Explain or show why.

Open Ended

A grocery store sells bags of oranges in two different sizes.

• The 3-pound bags of oranges cost $4.

• The 8-pound bags of oranges for $9.

Which oranges cost less per pound? Explain or show your reasoning.

Open Ended

Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate. How much did Diego pay for the 12 books? Explain your reasoning.