Hands-on Activity Exploring Variables While Testing & Improving Mint-Mobiles
(for Middle School)

Learning Objectives

After this activity, students should be able to:

• Explain the steps of the engineering design process.
• Define criteria and constraints for a specific design problem.
• Identify dependent and independent variables.
• Identify control variables.
• Predict future performance of design based on gathered data.

Educational Standards

Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards.

All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN), a project of D2L (www.achievementstandards.org).

In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics; within type by subtype, then by grade, etc.

NGSS: Next Generation Science Standards - Science

Common Core State Standards - Math

International Technology and Engineering Educators Association - Technology

State Standards

Materials List

Each group needs:

• Note: for mint-mobile construction supplies, the exact amounts required depend on the team's vehicle design; rough estimates are provided
• plastic drinking straws (estimated 4-6; make sure the straw diameter is smaller than the mint candy's hole diameter)
• Popsicle sticks (estimated 2-4)
• lifesaver-shaped candies, such as Lifesaver® mints (estimated 3-6)
• index cards (estimated 1-2; or thin cardboard or poster board scraps)
• tape, any type; duct or masking preferred
• scissors
• paper and pencil
• Design Worksheet, one per student

For the entire class to share:

• ramp, for testing, made from sturdy poster board, rigid cardboard or thin wood
• Gather two pieces of poster board, rigid cardboard, or thin wood of different lengths, for testing the independent variable of ramp length
• meter stick, for measuring the distance traveled
• pennies, for added mass during testing (estimated 10-30 pennies; depending on robustness of mint-mobiles, individually tape pennies on vehicles, or tape a little baggie of pennies to the design
• tape, for securing the ramp, meter stick and pennies
• (optional) hot glue gun and glue sticks

Worksheets and Attachments

Pre-Req Knowledge

Ability to make measurements using a meter stick.

Introduction/Motivation

(Write Figure 1 on the board as each step is discussed. Start by drawing an arrow in the shape of a circle.)

What do you think engineers do first when they begin to create a new product, say a new type of race car, a new style of backpack, or a new type of skis? That's right, the first thing engineers do is ask; that is, they ask what the product will do, what need they are addressing and what others have done. This also requires conducting research of the problem. Then, an engineer imagines all the possible features and qualities of the product. This takes a lot of creative brainstorming! After an engineer has made a list and some sketches of her/his ideas, all of the engineers in a team get together and share what they have come up with. As a team, they plan on one design by working with the best ideas. Once the details of the design have been decided, the team creates the product; then they get to test it out!

Tests are made on models of the product or device, which are often at a smaller than full-scale size. In the testing phase, the team pays attention to what needs to be changed to the model to make the product work better. The last step of the engineering design process is to improve the design.

While the engineering team designs the product, they first think about the criteria and constraints of their design problem. The criteria are all the things required of their product, or what the product must look like or be able to do in order to be considered successful. The constraints are all the things that limit the design. To help explain these terms, let’s apply them to an example.

Say I am an engineer designing a track for a roller coaster. What are some criteria that my design must meet if my goal is to design an exciting and fast roller coaster? (Allow three minutes for a group discussion. Student may say: include a large drop, lots of loops, long stretch so the cart can go fast, etc.) What are some constraints that limit my design? (Allow three minutes for a group discussion. Students may say: cost, amount of space available to build the coaster, other similar coasters nearby, safety requirements, etc.)

While the engineering team tests the product, they pay close attention to all the variables associated with their design. Two important types of variables are: independent and dependent variables. An independent variable is something that an engineer decides to change during each test to see how the results differ. A dependent variable is something that changes as a result of varying the independent variable. In testing, we also have what is called a control. A control is the part of the experiment that is neither changed by the engineer nor is affected by the independent variable. To help explain these new terms let's return to our roller coaster example.

Say I am an engineer testing a roller coaster. I want the cart to go as fast as possible on a track that I have already built. I can change some things to make the cart go as fast as possible—such as its mass, its length, or the type of wheels I use. Can anyone tell me what the independent and dependent variables are in this example? (The independent variables are the mass, length, and types of wheels that the engineer chooses. The dependent variable is the speed of the cart.) Control variables are independent variables that are held constant in an experiment. If you were testing variables that that influence a dependent variable, like speed, you would not test all the variables at the same time because then you would not know which variable(s) influenced the results. So, for example, if you were testing the influence of mass, you would hold the other variables (like length and type of wheels) constant, and test varying masses. So, length and type of wheels would be the control variables. On the contrary, if you were testing length, then you would hold mass constant and it would be a control variable. Thus, control variables are the variables you do not change in an experiment.

Today, working as engineers, we are going to follow the engineering design process and design and build mint-mobiles! After identifying the criteria and constraints of your designs, you will get to choose an independent variable and investigate how changing that variable changes the distance your race cars travel. We'll send the cars down a ramp and measure the distance they travel, using a meter stick. Think for a moment: what are the independent and dependent variables in this activity and what is the control? (Allow about 10 seconds for students to individually think about this.) Now, share what you think is the correct answer with the person next to you. (Allow three minutes for a group discussion.) Now—are you ready to brainstorm? Great! Let's get started! 

Procedure

Background

As this activity is written, student teams design their cars on paper first, working from a list of possible materials and then make a list of their needed supplies (including exactly how many wheels, straws, etc.) to request from the teacher. Activity variations are many. For example, limit the number of each type of material, require that each team use the exact same number and type of construction materials, or define a competitive objective to determine the best materials based on vehicle stability or speed with a certain mass.

Engineers use the engineering design process when they are creating new devices. The main seven steps of the engineering design process are: ask, imagine, research, plan, create, test, and improve. The improving step involves starting over again at the beginning of the design process with "ask," that is, "Where does this device need improvement? How can it be made to perform better?" Once a device has been built the first time, it is never complete! Engineers are always improving what they design. Imagine if the cellular phone had never been improved. Or cars, or computers.

Before the Activity

• Gather materials and list them on the board: plastic drinking straws, Popsicle sticks, lifesaver-shaped mint candies, index cards (or your own modified list of what's available).
• Set up the testing ramps by placing sturdy poster boards or a thin wooden board at an angle over a smooth surface (such as a tabletop). Use tape to secure the ramp; however, ensure that the ramp angle can be modified. Tape a meter stick from the bottom of the ramp along the table, so students can measure the distances traveled.
• Divide the class into teams of two students each.

With the Students

1. Distribute copies of the Design Worksheet to students. Ask students to define the criteria and constraints of their mint-mobile design problem. Record student ideas on the board, and have students record their ideas in the Design Worksheet. Criteria include: must be roll down the ramp smoothly, must travel in a straight line (not fall off the ramp), mustn’t fall apart, etc. Constraints include: can only use given materials, car must be small enough to fit on the ramp, etc.
2. Ask students to list different independent, dependent, and control variables that they discussed with their partner during the activity Introduction/Motivation. List the variables on the board. Have students select one independent variable to test, discuss which independent variables would require the easiest modification to their race cars. Have students record their independent variable on the Design Worksheet. Encourage each group to select a different variable from the group next to them.

               Independent variables include: mass of the mint-mobile, number of wheels, width and height of the mint-mobile, angle of the ramp, height of the ramp.

3. To begin planning their mint-mobile designs, give the class three minutes for students to individually brainstorm what their designs might look like on their Design Worksheets. Point out the list of available materials listed on the board, and remind students of the criteria and constraints of their design.
4. Next, working with their partners, direct students to share their ideas and make drawings of their final, agreed-upon designs on their Design Worksheets. Require the drawings to list the materials and amounts needed to build their mint-mobiles. Remind them that their designs must be able to test the effects of the independent variable they chose on the depended variable: the distance their mint-mobile travels.
5. Once teams have finished their designs, distribute materials and give them time to build.
6. Test the mint-mobiles by sending them down the ramp. This is a good time for students to make modifications to their designs to ensure quality results. What can be improved? Does it roll smoothly? Does it roll straight? Can it successfully test their independent variable? Allow students time to record modifications on their Design Worksheet and modify their designs to ensure they meet the criteria recorded on the board.
7. Now, have the students begin testing their independent variables (see Figure 2). Have students sent their mint-mobiles down the ramp and record the independent variable they chose and their measurements of distance traveled (the dependent variable).

8. Have students change their independent variable. For example: increase the length of the ramp, add mass to the car, decrease the angle of the ramp, etc. See Figure 3. Have students test their mint-mobiles again and record new measurements for the independent variable and distance traveled.
9. Before they test their cars for a third time by changing the independent variable again, ask each group to predict which trial will travel the furthest and why they believe this. Have groups write their predictions and justifications on their Design Worksheets.

10. Retest the mint-mobiles and record the new distances traveled after changing the independent variable again.
11. In the table on their Design Worksheets, have students record the independent variable measurements and distanced traveled. Students then use these data to determine the effect of changing their independent variable on the distance their mint-mobile traveled. Ask each group which independent variable they chose and how that variable affected the distance their mint-mobile traveled. Record student conclusions on the board.
12. As a class, review the collection of results on the board. Conclude with a class discussion (using questions provided in the Assessment section) about the experiment variables, how changing different independent variables impacted the distance traveled by the cars, and the design process. During this discussion, address any misconceptions the students identified during their predictions.

Vocabulary/Definitions

brainstorming: A technique of solving specific problems, stimulating creative thinking and developing new ideas by unrestrained and spontaneous discussion.

control variable : A variable that is neither changed by the engineer/tester nor affected by the independent variable.

dependent variable: A variable that changes as a result of changing the independent variable.

engineering design process: The cycle engineers go through while creating a new device: Ask; Research; Imagine; Plan; Create Test; Improve.

independent variable: A variable that is intentionally changed by the engineer or tester.

variable : Something that changes while testing an idea, device or system.

Assessment

Pre-Activity Assessment

Identifying Criteria, Constraints & Variables: Have students identify criteria and constraints from different examples of engineering design (such as the roller coaster design problem in the Intro/Motivation section). Next, have students categorize variables from different examples as independent, dependent or control variables. For example (as thoroughly explained in the Intro/Motivation section), the variables associated with roller coaster design. Then, have students talk in groups to identify the different variables involved with this activity.

Activity Embedded Assessment

Brainstorming Design Work: Have students follow the engineering design process by brainstorming different designs on their Design Worksheet; then have them share these ideas with their teammate(s). Have them draw their final group design, listing the exact materials they plan to use.

Theory to Practice: While researching their designs, have students identify (and list) the independent variables they will be testing, as well as the dependent, and control variables. (Note: Regardless of which independent variable a group selects, the dependent variable is the distance the cart travels, and the controls are the independent variables that students do not change during testing.)

Prediction: Before testing the cars in Run 3, ask each group to predict which trial will travel the furthest and why they believe this. Have groups write their predictions and justifications on their Design Worksheets.

Graphing: Have students plot the distances the cars go for the three different runs (or tests) of their mint-mobile. Allow students to interpret results graphically and relate their independent variable to distance traveled.

Post-Activity Assessment

Class Discussion: Ask students the following questions and discuss as a class.

• What were the independent, dependent and control variables in this test? (Possible answer: The independent variable was the angle of the ramp, the dependent variable was the distance the cart travels, and the controls included the length of the ramp and mass of the car.)
• Looking at everyone's results, how did changing each independent variable affect the distance traveled by the mint-mobile? Did it travel a shorter or greater distance? (Answers will vary. Expect students to provide a statement on the effect of their independent variable on distance traveled and begin to explain why they think the distance traveled changed. For example, mass as the independent variable: Adding mass caused the cars to travel greater distances; the greater the mass, the further the cars travel.)
• How could you design a mint-mobile to travel a longer distance than any of the mint-mobiles you made or saw today? (Have students combine results from theirs and other groups. Possible answers: Increase the mass of the mint-mobile by using heavier materials and improve the design to reduce drag and friction.)
• What sorts of things did you do at each step of the design process? (Have students share their own experiences, in their own words, that describe the repeating seven-step-loop of the engineering design process: ask, research, imagine, plan, create, test, improve.)

Investigating Questions

• What independent variables could affect the distance traveled by the mint-mobiles? (Possible answers: The material used on the ramp, the mass of the cart, the type of materials used to build the cart, the slope and length of the ramp, the number of wheels, the stability of the cart.)
• What is another dependent variable in this activity that might be of interest to an engineer designing a real race car or roller coaster cart? (Possible answers: Speed, stability.)
• What are the dependent variables that would be affected by these changes? (Possible answers: Speed, distance traveled, and stability.)

Troubleshooting Tips

If students use the straws as axles and find that the straws are bigger than the candy hole diameter, they can use scissors to slit the straws lengthwise, then curl and tape them tighter (so they are narrower) to make straws that spin better in the candy holes.

The mint-mobiles roll best on smooth surfaces rather than the textured surfaces of carpets, so build the testing ramp on a tabletop and place a thin poster board at the bottom of the ramp.

If students' mint-mobiles are quite small, they may not be able to hold many pennies. If so, tape on a few pennies at a time to determine a reasonable maximum amount.

Activity Extensions

Team Test Your Instructions: In addition to each team designing a mint-mobile with a sketch and list of materials (see the Design Worksheet), have them write instructions on how to build the mint-mobile and exchange designs with another group. Tell the students to build the other team's mint-mobile following the instructions using only the supplies listed. This exercise sharpens students' awareness of the importance of accuracy and clear communication in their engineering plans. Or similarly, conduct The Universal Language of Engineering Drawings activity, in which students practice the ability to produce clear, complete, accurate and detailed design drawings for a mint-mobile-type model car, using only specified materials. Teams trade drawings and attempt to construct the model cars in order to determine how successfully the original design intentions were communicated through sketches, dimensions and instructions.

Activity Scaling

• For lower grades, select mass as the independent variable for all groups to test. See Exploring Variables While Testing & Improving Mint-Mobiles (for Elementary School).
• For upper grades, have students focus on following the engineering design process to build and test their mint-mobiles while balancing tradeoffs between safety, design materials, and cost. Then, students test how changing the mass of their mint-mobile mass affects distance traveled. See Exploring Variables While Testing & Improving Mint-Mobiles (for High School).

Copyright

Contributors

Supporting Program

Acknowledgements

The contents of this digital library curriculum were developed under grants from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education, and National Science Foundation (GK-12 grant no 0338326). However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

This curriculum was revised and adapted in 2020 from its original to serve middle school students by TeachEngineering.org.