Summer Research Program for Science Teachers

 

Ann Meyer

New Explorations into Science, Technology and Math

Manhattan

August 2005

 

M&Mís and the Scientific Method

 

Grade Levels:  High School  (can be adapted for Middle School students)

Objective:

Stage and duration of activity:  50 minutes 

Handouts Yes

 

Description of activity

Supplies        One regular sized bag of M&Mís for every 2 to 3 students

One regular sized bag of M&Mís for demonstration

One bag of peanut M&Mís and one large bag of M&Mís

Introducing M&M Activity to Class

The teacher holds up a bag of regular sized M&Mís.  The teacher asks a question to begin the discussion--What things might we want to know about this bag of M&Mís?  Students will respond with a variety of inquiries--How many M&Mís are in the bag?  What color M&Mís are in the bag?  How many of each color M&M are in the bag?  How much does one M&M weigh?  How much does the bag weigh?

The teacher chooses one question.  A useful introductory question is--How many M&Mís are in the bag?  Students guess the number of M&Mís.  Using the framework of studentsí guesses, the teacher introduces scientific terminology.  For instance, during the discussion of answers to the question of how many M&Mís are in the bag, the numbers put forth are hypotheses.  At this point, the teacher should write the definition of the new scientific term on the board and have students copy it onto their definition sheet.  In addition, the teacher writes ĎHypothesesí on the board and lists the numbers volunteered by students underneath the word.  After asking many if not all of the class to respond with a hypothesis about how many M&Mís are in the bag, the teacher asksóHow do we determine which hypothesis, if any, is correct?  Usually, a student will ask the teacher to open the bag.  The teacher then introduces the concept of data collection to determine if oneís hypothesis is correct.  The teacher opens the bag, counts the number of M&Mís and writes ĎDataí under which she writes the number counted in her bag.  Following the introduction, students form small groups to complete the M&M activity. 

Activity

Break students into groups of 2 or 3 students.  Hand out directions (see Handout).  Read directions aloud while students follow along.  Allow students about 15 minutes to complete the activity.

Follow-up

The teacher brings the class back together and asks all of the groups about their questions and the answers that were found.  At this point, the teacher asks every group to fill out a data table about the multiple bags of M&MísóHow many M&Mís are in the bag and How many of each color M&M are in the bag.  By collecting the data from all of the groups, the teacher introduces the concept of multiple trials.  (One discovers that the number of M&Mís per bag is not constant nor is the number of each color in the bag resulting in variation between M&M bags and the potential for calculations using the data.)

Example Table for Board:

Group #

Total Number of M&Mís in bag

Number of Green M&Mís

Number of Brown M&Mís

Number of Yellow M&Mís

Number of Orange M&Mís

Number of Blue M&Mís

1

 

 

 

 

 

 

2

 

 

 

 

 

 

3

 

 

 

 

 

 

4

 

 

 

 

 

 

Data Analysis

            Using the data from the class, the teacher is able to address the idea of variance in data.  To follow up the teacher asksóFrom our data, what would be an accurate way to determine the number of M&Mís in a random bag I pick up at the grocery store?  The average of the numbers provides an accurate description of the number of M&Mís in a randomly chosen bag.  Also, the average number of each color M&M per bag may be calculated.  In addition to the average calculations, the class determines the median and mode for the total number of M&Mís per bag and/or the number of each color of M&M per bag.  Students may also graph the data in histograms and/or pie charts (color-coded graphs follow easily from the M&M colors).

Extension

            Extending the concepts one step further, the teacher brings out a bag of peanut M&Mís and asksóDo we know anything about this bag of M&Mís based on our data?  Additionally, the teacher may want to bring out a large bag of M&Mís and askóDo we know anything about this bag of M&Mís based on our data?  At which point the teacher introduces inference.  Often, one group determines the weight of a single M&M during the group activity.  If not, the teacher weighs an individual M&M.  Dividing the weight of the large bag by the weight of a single M&M determines the number of M&Mís in the large bag (disregarding the weight of the bag).

 

 

Standards:

National Standards

Teaching Standard A:  Teachers of science plan an inquiry-based science program for their students.

Content Standard A: As a result of activities in grades 9-12, all students should develop abilities necessary to do scientific inquiry, understandings about scientific inquiry

Program Standard A: Teaching practices need to be consistent with the goals and curriculum framework.

 

New York City Science Standards

Standard S5 (a-f) The students demonstrates scientific inquiry and problem solving by using thoughtful questioning and reasoning strategies, common sense and conceptual understanding from Science Standards 1-4, and appropriate methods to investigate the natural world.

Standard S7 (a-d) The student demonstrates effective scientific communication by clearly describing aspects of the natural word using accurate data, graphs, or other appropriate media to convey depth of conceptual understanding in science; that is, the student:  represents data and results in multiple ways, such as numbers, tables, and graphs, drawings, diagrams, and artwork; and technical and creative writing.