Lesson 1

Compare and Order Masses

Est. Class Sessions: 2

Developing the Lesson

Decide if you want students to illustrate their predicted mass order on the Compare and Order Masses page before or after students are able to hold the objects in their hands. If students illustrate their predictions before they are able to hold the objects, their predictions are based on how the objects look. If students illustrate their predictions after they receive the objects, their predictions are based on how the objects feel in their hands. Using either method, students verify their predictions by using the two-pan balance.

Predict the Order of Masses. Introduce the two-pan balance as a measurement tool used to compare the mass of two objects. When objects are placed in each pan, the pan holding the object with more mass will move down. Show the students the following objects: a one-inch wood sphere, a one-inch glass sphere, a half-inch steel sphere, and a connecting cube. Ask students to predict which object is heaviest, that is, which one has the most mass. Have them explain their reasoning. Pay attention to whether students predict that larger objects are heavier.

  • Which object do you think will have the most mass? Why do you think so? (Possible response: Glass, because the glass and wood are the largest but I think glass is heavier than wood.)
  • Which do you think will have the least mass? Why? (Possible response: I think the connecting cube will have the least mass because it’s small and it’s made of plastic.)
  • If you order these objects from greatest to least mass, in what order would you place them? [Before passing out materials, have students make predictions about the order of the objects from greatest to least mass.]

Next, pass out the small containers of sets of objects to each student pair. Ask them to line up their objects on their desks in the order they think is greatest mass to least mass. Students can compare the objects by holding one in each hand.

  • Now that you can compare the objects by holding one in each hand, did you change your predictions? (Possible response: Yes. When I looked at them, I thought the steel sphere had less mass, but now that I can hold it in my hand, I think it has more than the wood sphere.)

Have students illustrate their predicted mass order on the Compare and Order Masses page in the Student Activity Book. See Figure 2 for a sample student drawing.

To line up the objects according to predicted mass, students can place them between two parallel rulers to prevent the spheres from rolling away.

The distinction between the concepts of mass and weight is subtle. Many adults have difficulty articulating it. They are distinct concepts, yet very similar in the way we experience them. Do not belabor the point with your students. If they refer to this activity as “weighing” the items, it is not necessary to correct them. Continue to use the term “mass” and include “finding the mass” in your discussions. See Mathematics in this Unit for a discussion of the difference between mass and weight.

Find the Order of Masses. Have students use the two-pan balances to verify their predictions. They will compare the four objects, two at a time, to determine which has the most mass. Tell students to keep track of their comparisons on the Comparing Masses Data Table on the Compare and Order Masses pages. There are six possible combinations:

  • steel and glass
  • steel and wood
  • steel and cube
  • glass and wood
  • glass and cube
  • wood and cube

Some students will want to change the drawing of their predictions on the Compare and Order Masses pages to match the order they discovered after placing the objects on the two-pan balance. Explain that when they made a prediction, it is similar to what scientists do when they make predictions and then verify their predictions by testing them. Tell students that once they make their predictions, they do not have to go back and change them because they record the final order on the Mass Order Data Table.

To help students find all the possible combinations of objects to place on the two-pan balance, suggest that they keep an object in one of the pans until they compare it with the other objects. For example, keep the steel sphere in one pan and test it with the glass sphere, wood sphere, and the cube. Then, they place the steel sphere on the side. Next, they can take another object, such as the glass sphere, and compare it with the two remaining objects (wood, cube). Then, they place that object on the side and test the two remaining objects.

Let students begin working and devising their own strategies for putting the objects in order according to mass. Tell them to start with their predicted order and make changes as necessary as they work. Let them experiment with how to rearrange the objects if they find their predicted order is not correct. Circulate, answer questions as appropriate, and ask probing questions to help students think through the problem.

The strategies students use for this part of the activity will vary. Some students may find that recording each comparison on the Comparing Masses Data Table is useful. Other students may be able to move the objects after comparing them with the two-pan balance until the objects are arranged correctly.

Observe students as they place objects on the two-pan balance and order them according to their masses to assess students’ understanding of how to measure and compare the mass of objects using a two-pan balance [E7].

Ask students to record the order from greatest mass to least mass in the Mass Order Data Table on the Compare and Order Masses pages. Assign Questions 1–10 to student pairs. The questions guide students to use their experiences to draw valid conclusions and form generalizations. For example, two objects of the same size and shape but composed of different materials do not always have the same mass. For Question 6, guide students to understand that it is not possible to determine the object that has more mass because we do not know the material that makes up the objects in the illustrations. Check-In: Questions 11–12 will be assigned for an assessment later in the lesson.

Discuss Results. Discuss this activity with students. Compare their predictions with their results.

  • What did you find out about the mass of the objects? (Possible response: I found out that the steel ball had more mass than the glass ball.)
  • What did you find out about predicting the mass? (Possible response: You can’t tell which object has the most mass just by looking at the size or shape.)
  • What would help you predict better: looking at the object or holding it? Why? (Possible response: holding it because you can tell the weight of the object)
  • Do bigger objects always have more mass? (no) How do you know? (Possible response: The tiny steel sphere is heavier than the bigger objects.)
  • Do smaller objects always have more mass? (no) How do you know? (Possible response: The cube is smaller than the glass ball and the cube has less mass. You can’t tell which has more mass by its size.)
  • Do the same size objects always have the same mass? (no) How do you know? (Possible response: The glass ball and the wood ball are the same size, but the glass ball is heavier.)
  • What happens to a two-pan balance when you place objects with different masses in the pans? (Possible response: The side that has more mass goes down and the side with less mass goes up. If they have the same mass, the arm is level.)

Assign Check-In: Questions 11–12 on the Compare and Order Masses pages in the Student Activity Book to assess students’ understanding of the expectations in this lesson.

Use the Check-In: Questions 11–12 on the Compare and Order Masses pages in the Student Activity Book to assess students’ abilities to use words and symbols (e.g., <, >, =) to show comparisons of quantities [E2] and measure and compare the mass of objects using a two-pan balance [E7].

For targeted practice place a two-pan balance, various objects, and copies of the Compare Objects Master in a center to provide practice with comparing and ordering the mass of objects.

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A picture showing the predicted mass order of four objects
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