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Hold up a regular paper clip and a jumbo paper clip for the students to see. Give them 1 minute of quiet think time. Afterward, allow students to use the paper clips to measure the paper if they need or wish to do so.
This picture shows paper clips in two sizes: regular and jumbo.
Does it take more regular or jumbo paper clips lined up end to end to measure the width of a piece of printer paper? Be prepared to explain how you know.
Some students may assume that it will take more of the longer clips because they are used to associating the idea of “more” with “larger.” Encourage them to use the manipulatives to see that it actually takes fewer of the longer clips to reach across the paper.
Ask students to share their responses and reasoning. Highlight the fact that it takes more of a smaller unit and fewer of a larger unit to measure the same length.
Tell students that they will further investigate the idea of using different units to measure the same set of items. Introduce the five stations, what students are expected to do at each, the protocol for rotating through them, and the questions to answer at the end.
When introducing Station 4, demonstrate how to change the output unit on the scale(s) used. When introducing Station 5, demonstrate how to use a straightedge to measure a level teaspoon of salt. If students do not use level teaspoons of salt, they will not be able to answer the last set of questions about volume.
Arrange students into 5 groups, and assign a starting station for each group.
Station 1: Your teacher prepared a box and some cubes.
| cubic inches |
cubic centimeters |
|
|---|---|---|
| volume of the box |
Station 2: Your teacher showed you a length and prepared a meter stick and a ruler.
| meters | feet | |
|---|---|---|
| length of |
Station 3: Your teacher prepared a gallon of water and some bottles.
| quarts | liters | |
|---|---|---|
| 1 gallon of water |
Station 4: Your teacher prepared several objects and one or more scales.
Record the weights in grams, kilograms, ounces, and pounds.
| object | grams | kilograms | ounces | pounds |
|---|---|---|---|---|
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Station 5: Your teacher prepared a graduated cylinder and a container of salt.
| milliliters | teaspoons | |
|---|---|---|
| small amount of salt |
20 | |
| medium amount of salt |
40 | |
| large amount of salt |
50 |
After rotating through the stations, answer these questions with your group.
How many milliliters per teaspoon are there?
How many teaspoons per milliliter are there?
At Station 1, students may count the number of base-10 centimeter rods rather than the number of centimeter cubes. Remind them that the question prompts for the number of cubes.
At Station 2, students may need reminders about measuring objects at the zero marking on the ruler and about keeping the ruler going straight, both of which will affect the answer. Show them that they can measure along the edge of the object to make sure that the ruler is not veering off in one direction or another.
At Station 4, students may be unclear about how to change the output unit on the scale for each object. Consider showing the class ahead of time. Students who are able to distinguish between weight and mass might say that they cannot accurately compare their measurements. Clarify that we are talking only about the weight of the objects on Earth’s surface.
At Station 5, some students may consistently use under-filled or rounded teaspoons of salt, so their data will not reveal the 5:1 ratio of milliliters to teaspoons. Repeat the demonstration of how to measure a level teaspoon for them.
Students may answer 3 milliliters for the question about 15 teaspoons because they divided by 5 instead of multiplying by 5. Encourage them to pay attention to which unit is bigger, and ask what that tells them about which numerical value should be larger.