Lesson 5

Explore Circumference and Diameter

Est. Class Sessions: 4

Daily Practice and Problems

Teacher Notes
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TIMS Challenge

Challenge DD can be assigned as a Problem of the Week.

  1. corn syrup; Responses will vary: One possible response: corn syrup has a density of 41 g/30 cc or about 1.4 g /1 cc. The vegetable oil has a density of 27 g/30 cc or about .9 g /1 cc.
  2. The oil will float to the top since it is the least dense. The corn syrup will sink to the bottom since it is the most dense. The water will be in the middle because water has a density of 1 g/1 cc and that is between the density for oil and the density for corn syrup.
    1. The plastic sphere will float in the syrup since 1.2 g/1 cc is less dense than 1.4 g/1 cc.
    2. The plastic sphere will sink in the oil since its density is 1.2 g/1 cc and that is more dense than the oil at .9 g/1 cc.

Ongoing Assessment

Use Challenge DD to assess students' abilities to use ratios and proportions to solve problems [E4].

DD. Different Densities

Lee Yah and Frank found the mass of 30 cc of vegetable oil and 30 cc of corn syrup. They found that the mass of the vegetable oil is 27 grams and the mass of the corn syrup is 41 grams.

  1. Which is denser, vegetable oil or corn syrup? How do you know?
  2. Predict what will happen if vegetable oil, water, and corn syrup are poured into the same container. Which liquid will float to the top? Which will sink to the bottom? Draw and label a picture showing the 3 liquids in the container.
  3. Frank finds the mass of a plastic sphere to be 10 grams and the volume to be 8.5 cc.
    1. If the sphere is placed in corn syrup, will it sink or float? How did you decide?
    2. If the sphere is placed in vegetable oil, will it sink or float? Explain your reasoning.