Return to Mathematics IndexUsing the Balance

Davis, Marie Marconi Community Academy

854-2810

Objectives:Given an equal arm balance the learner will determine the mass of an object by comparing it with the mass of objects whose mass in grams is known. Given graph paper the learner will construct a bar graph.Apparatus needed:Overhead projector {Optional} 1 equal arm balance {Commercial or homemade} 3 objects of different masses 5 small washers { 2 g } 5 medium-size washers { 5 g } 5 large washers { 9 g } graph paper modeling clay { 15 g } Lab worksheetRecommended strategy:The overhead projector was used to review the following vocabulary: variable balance manipulated variable mass responding variable A graph was constructed on the transparency to review these terms: interpolation vertical axis plot extrapolation horizontal axis The lab worksheet contained the procedures to follow, a Data Sheet which included space for a labeled drawing of the experiment, Tables 1 and 2, and comprehension questions. PROCEDURES; 1. Make sure the arms are balanced before measuring each object. 2. Place one object in the left pan of the equal arm balance. Place any number or combination of washers in the right pan until the two pans are level, or balanced. When the two arms balance, the mass of the object is the same as the total mass of all the washers. 3. Record the name of the object underType of Objecton Table 1

on the Data Sheet.

4. Count the number of washers used and record them under the

correct headings on Table 1.

5. Multiply the number of 2 g washers by 2, the number of 5 g washers

by 5, and the number of 9 g washers by 9.

6. Add the three answers together and record the sum underTotal Mass,TM.

7. Repeat the same procedures or steps with the other two objects.

8. Construct a bar graph.

9. Complete the comprehension questions on the Data Sheet.

Sample Data Sheet

Questions: Which is the manipulated variable? Which is the responding

variable? On which axis (horizontal or vertical) did you

plot the manipulated variable?

Table 1

Type of Object Standard Masses (g) Total Mass, TM

2 g 5 g 9 g (g)Shape a piece of clay into a cube. Balance the clay cube with washers on the equal arm balance. Record the measurement on Table 2. Then mash clay into a disk. Make prediction about the mass of the clay disk. Determine the mass of the clay disk. Record the measurement. Repeat the procedure for a clay sphere. Table 2Shape of Clay Standard Masses (g) Total Mass, TM

Questions: Does the mass of the clay depend upon its shape? A mound

of clay has a mass of l6 g. What would be its mass when the clay is

shaped like a bar of soap? If the clay soap bar was cut in half, what

would be the mass of each half?

This is just one of many experiments the students in grades 3-8 can

do to determine the mass of objects. The lab work can be modified to

satisfy the needs of students and teachers. For teachers who teach all

subjects this activity integrates science, math, language arts, and art.