Lesson 4

Measuring Mass

Est. Class Sessions: 3

Developing the Lesson

Part 2: Collect and Graph the Data

Demonstrate Adding the Gram Masses. Before students begin to collect data, have them check the two-pan balances to make sure they are still zeroed from previous lessons. Have students answer and then discuss Question 2 on the Measuring Mass pages.

  • Before you mass an object, your balance must be ready. How can you tell if your two-pan balance is ready? (We have to zero the balance. Both pans have to be at the same level.)

Instruct students if they are unclear about how to zero their balance.

Then display the data table on the Measuring Mass pages. Find the mass of two or three demonstration objects with the class. Discuss how to record the number of each of the standard masses used and the total mass of each object.

After balancing an object, display the gram masses and find the total mass with the class. For example, display one 20-gram, two 10-gram, one 5-gram, and three 1-gram masses. Have students share different ways of finding the total mass. Remind students to start by adding the largest gram masses first; for example, 20 + 10 + 10 + 5 + 1 + 1 + 1. Starting on 20, a student may count 30, 40, 45, 46, 47, 48. The 200 Chart or other tools may be helpful to students as they add up the masses.

Choose and Mass Objects. Ask student pairs to choose at least five objects—one object from the group with the heavier objects (about 100 grams) and four objects from the group with the lighter objects (less than 100 grams). They can measure more than one of an identical object (e.g., 3 unused pieces of chalk) but should indicate this on the data table. Alternatively distribute items to be massed. Partners should find the mass of the same object, making sure the pans balance. Each student should independently count the masses and determine the total mass (M). Then, if there is a discrepancy, they can double-check their work and reach agreement on the mass of each object before recording it for Question 3 on the Measuring Mass Data Table. See Figure 4.

Assign Home Practice Parts 5–6 for homework. In addition, assign the Find a Pet Rock Homework Master. Students will need to find a rock that they estimate to be about 50 grams and bring it to school to participate in the Summarizing the Lesson activity. When giving the assignment, tell students that a base-ten flat is about 50 grams. Ask if they think a flat is heavy or light. Students may bring in more than one rock so that there are extras on hand.

The balance may not be perfectly level if the true mass of the object is, for example, 1612 grams. With 16 grams in one pan, the balance will tilt toward the object. With 17 grams, it will tilt toward the mass side. Students may figure out that the true mass is between 16 and 17 grams; therefore 1612 grams may be a better number to record, although either 16 or 17 grams would also be acceptable.

Make a Bar Graph. After the data collection is complete, students are ready to make a graph. Using a display of the Measuring Mass Graph, have students discuss how the horizontal and vertical axes of their graphs should be labeled. See Figure 5.

  • Where do you show your two variables? (on the axes of the graph)
  • Which should be on the horizontal axis? (Kind of Object, K)
  • On the vertical axis? (Mass in grams, M)
  • How will you label your bars? (with the names of the objects)
  • The largest object you massed is about 100 grams. Can you label the vertical axis by ones? (no)
  • What happens if you count by ones? (There is not enough room for the largest number.)
  • What number can you count by and show the largest mass? How can you number the vertical axis to make sure you have enough room to graph all the data? (We could skip count by 5s so the 100-gram object will fit on the graph.)
  • Look at your own data table. What number do you have to make sure is included on the graph?

Graph the masses of the items that you measured earlier or simply several masses, similar to the data found in Figure 4. Include at least one number that is near 100 grams.

  • How is your graph the same as your data table? (Possible response: They both show the objects and the masses.)

Use the Measuring Mass pages in the Student Activity Book to assess students’ abilities to compose and decompose numbers using ones, fives, and tens [E1]; compare and order quantities [E3]; recognize that different partitions of a number have the same total [E4]; apply the properties of addition to write number sentences that represent mass [E5]; solve problems involving mass [E6]; measure and compare the mass of objects using a two-pan balance and standard gram masses [E7]; make a scaled bar graph [E10]; and read a data table or bar graph to find information about a data set [E11].

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SAB_Mini
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A sample data table
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A sample graph
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