IM 6.2.16 Lesson: Solving More Ratio Problems
Describe a situation with two quantities that this tape diagram could represent.[br][br][img]data:image/png;base64,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[/img]
Consider the problem: A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets.
How many tickets are for chaperones, how many for students?[br][br]Solve this problem in [i]one [/i]of three ways:
Use a triple number line.
Use a table: (Fill rows as needed.)
Use a tape diagram:
After your class discusses all three strategies, which do you prefer for this problem and why?
Use the digits 1 through 9 to create three equivalent ratios. Use each digit only one time.[br][br][math]\boxed{\phantom{3}}:\boxed{\phantom{3}}[/math] is equivalent to [math]\boxed{\phantom{3}}\,\boxed{\phantom{3}}:\boxed{\phantom{3}} [/math] and [math]\boxed{\phantom{3}}\,\boxed{\phantom{3}}:\boxed{\phantom{3}}\,\boxed{\phantom{3}}[/math]
Solve each problem, and show your thinking. Organize it so it can be followed by others. If you get stuck, consider drawing a double number line, table, or tape diagram.
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar. How much oil should you use to make a total of 28 teaspoons of dressing? Explain your reasoning.[br]
Andre and Han are moving boxes. Andre can move 4 boxes every half hour. Han can move 5 boxes every half hour. How long will it take Andre and Han to move all 72 boxes? Explain your reasoning.[br]
IM 6.2.16 Practice: Solving More Ratio Problems
Describe a situation that could be represented with this tape diagram.[br][br][img]data:image/png;base64,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[/img]
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
How many nickels, dimes, and quarters are in the piggy bank? [i]Explain [/i]your reasoning.[br]
How much are the coins in the piggy bank worth?
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate. How much did Diego pay for the 12 books? Explainyour reasoning.
Which polyhedron can be assembled from this net?[br][img]data:image/png;base64,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[/img]